openquake.hazardlib.gsim package

Ground-shaking intensity models

abrahamson_2014

Module exports AbrahamsonEtAl2014

AbrahamsonEtAl2014RegCHN AbrahamsonEtAl2014RegJPN AbrahamsonEtAl2014RegTWN

class openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE by Abrahamson, Silva and Kamai developed within the the PEER West 2 Project. This GMPE is described in a paper published in 2014 on Earthquake Spectra, Volume 30, Number 3 and titled ‘Summary of the ASK14 Ground Motion Relation for Active Crustal Regions’.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables as per annex B of Abrahamson et al. (2014)

CONSTS = {'n': 1.5, 'm2': 5.0, 'h1': 0.25, 'h2': 1.5, 'h3': -0.75}

equation constants (that are IMT independent)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (RotD50)'

Supported intensity measure component is orientation-independent average horizontal RotD50, see page 1025.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see tables 4 pages 1036

DEFINED_FOR_REFERENCE_VELOCITY = 1180

Reference rock conditions as defined at page

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see paragraph “Equations for standard deviations”, page 1046.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see title!

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'ry0', 'rjb'})

Required distance measures are Rrup, Rjb, Ry0 and Rx (see Table 2, page 1031).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'dip', 'ztor', 'width', 'rake', 'mag'})

Required rupture parameters are magnitude, rake, dip, ztor, and width (see table 2, page 1031)

REQUIRES_SITES_PARAMETERS = frozenset({'vs30measured', 'z1pt0', 'vs30'})

Required site parameters are Vs30 and Z1.0, see table 2, page 1031 Unit of measure for Z1.0 is [m]

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014RegCHN(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014

Implements GMPE developed by Abrahamson, Silva and Kamai in 2014 as part of the PEER West 2 Project. The GMPE is described in a paper published in 2014 on Earthquake Spectra, Volume 30, Number 3.

Regional corrections for China

class openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014RegJPN(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014

Implements GMPE developed by Abrahamson, Silva and Kamai in 2014 as part of the PEER West 2 Project. The GMPE is described in a paper published in 2014 on Earthquake Spectra, Volume 30, Number 3.

Regional corrections for Japan

class openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014RegTWN(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2014.AbrahamsonEtAl2014

Implements GMPE developed by Abrahamson, Silva and Kamai in 2014 as part of the PEER West 2 Project. The GMPE is described in a paper published in 2014 on Earthquake Spectra, Volume 30, Number 3.

Regional corrections for Taiwan

abrahamson_2015

Module exports AbrahamsonEtAl2015

AbrahamsonEtAl2015SInter AbrahamsonEtAl2015SInterHigh AbrahamsonEtAl2015SInterLow AbrahamsonEtAl2015SSlab AbrahamsonEtAl2015SSlabHigh AbrahamsonEtAl2015SSlabLow

class openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInter(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the Subduction GMPE developed by Norman Abrahamson, Nicholas Gregor and Kofi Addo, otherwise known as the “BC Hydro” Model, published as “BC Hydro Ground Motion Prediction Equations For Subduction Earthquakes (2015, Earthquake Spectra, in press), for subduction interface events.

From observations of very large events it was found that the magnitude scaling term can be adjusted as part of the epistemic uncertainty model. The adjustment comes in the form of the parameter DeltaC1, which is period dependent for interface events. To capture the epistemic uncertainty in DeltaC1, three models are proposed: a ‘central’, ‘upper’ and ‘lower’ model. The current class implements the ‘central’ model, whilst additional classes will implement the ‘upper’ and ‘lower’ alternatives.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

COEFFS_MAG_SCALE = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTS = {'n': 1.18, 'c': 1.88, 'theta3': 0.1, 'theta4': 0.9, 'theta5': 0.0, 'theta9': 0.4, 'c4': 10.0, 'C1': 7.8}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration

DEFINED_FOR_REFERENCE_VELOCITY = 1000

Reference soil conditions (bottom of page 29)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see table 3, pages 12 - 13

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

Supported tectonic region type is subduction interface

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, for interface events

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude for the interface model

REQUIRES_SITES_PARAMETERS = frozenset({'backarc', 'vs30'})

Site amplification is dependent upon Vs30 For the Abrahamson et al (2013) GMPE a new term is introduced to determine whether a site is on the forearc with respect to the subduction interface, or on the backarc. This boolean is a vector containing True for a backarc site or False for a forearc or unknown site.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInterHigh(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInter

Defines the Abrahamson et al. (2013) scaling relation assuming the upper values of the magnitude scaling for large slab earthquakes, as defined in table 4

COEFFS_MAG_SCALE = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInterLow(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInter

Defines the Abrahamson et al. (2013) scaling relation assuming the lower values of the magnitude scaling for large slab earthquakes, as defined in table 4

COEFFS_MAG_SCALE = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlab(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInter

Implements the Subduction GMPE developed by Norman Abrahamson, Nicholas Gregor and Kofi Addo, otherwise known as the “BC Hydro” Model, published as “BC Hydro Ground Motion Prediction Equations For Subduction Earthquakes (2013, Earthquake Spectra, in press). This implements only the inslab GMPE. For inslab events the source is considered to be a point source located at the hypocentre. Therefore the hypocentral distance metric is used in place of the rupture distance, and the hypocentral depth is used to scale the ground motion by depth

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction IntraSlab'

Supported tectonic region type is subduction in-slab

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral for in-slab events

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

In-slab events require constraint of hypocentral depth and magnitude

class openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlabHigh(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlab

Defines the Abrahamson et al. (2013) scaling relation assuming the upper values of the magnitude scaling for large slab earthquakes, as defined in table 8

class openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlabLow(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlab

Defines the Abrahamson et al. (2013) scaling relation assuming the lower values of the magnitude scaling for large slab earthquakes, as defined in table 8

abrahamson_2018

Module exports AbrahamsonEtAl2018SInter

AbrahamsonEtAl2018SInterHigh AbrahamsonEtAl2018SInterLow AbrahamsonEtAl2018SSlab AbrahamsonEtAl2018SSlabHigh AbrahamsonEtAl2018SSlabLow

class openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SInter(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the 2018 updated Abrahamson et al. (2018) “BC Hydro” GMPE for application to subduction earthquakes, for the case of subduction interface events.

Abrahamson, N. A., Keuhn, N., Gulerce, Z., Gregor, N., Bozognia, Y., Parker, G., Stewart, J., Chiou, B., Idriss, I. M., Campbell, K. and Youngs, R. (2018) “Update of the BC Hydro Subduction Ground-Motion Model using the NGA-Subduction Dataset”, Pacific Earthquake Engineering Research Center (PEER) Technical Report, PEER 2018/02

Whilst the original model provides coefficients for different regional variations, these are incomplete for the purpose of a working implementation. As the authors indicate in the source, the coefficients and adjustment factors are intended only for application to the Cascadia region; hence this is the only version implemented here. Furthermore, scalar adjustments are intended to be applied in order to define an “upper”, “central” and “lower” branch to cover the epistemic uncertainty of the core model.

CASCADIA_ADJUSTMENT = 'adj_int'

Adjustment variable to match Cascadia to global average

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTANTS = {'n': 1.18, 'c': 1.88, 'C4': 10.0, 'a3': 0.1, 'a5': 0.0, 'a9': 0.4, 'a10': 1.73, 'C1slab': 7.2, 'phiamp': 0.3}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see section 4.5

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

Supported tectonic region type is subduction interface

EPISTEMIC_ADJUSTMENT = None

A “low” and “high” epistemic adjustment factor will be applied to subclasses of this model

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, for interface events

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are only magnitude for the interface model

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Site amplification is dependent only upon Vs30

compute_base_term(C)

Returns the base coefficient of the GMPE, which for interface events is just the coefficient a1 (adjusted regionally)

compute_depth_term(C, rup)

No top of rupture depth term for interface events

compute_distance_term(C, rrup, mag)

Returns the distance attenuation

compute_magnitude_term(C, mag)

Returns the magnitude scaling term

compute_site_term(C, vs30, pga1000)

Returns the site amplification

get_inter_event_stddev(C, C_PGA, dln)

Returns the between event aleatory uncertainty, tau

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_stddevs(C, C_PGA, pga1000, vs30, stddev_types)

Returns the standard deviations

get_within_event_stddev(C, C_PGA, dln)

Returns the within-event aleatory uncertainty, phi

class openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SInterHigh(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SInter

Abrahamson et al (2018) subduction interface GMPE with the positive epistemic adjustment factor applied

EPISTEMIC_ADJUSTMENT = 'SINTER_HIGH'

class openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SInterLow(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SInter

Abrahamson et al (2018) subduction interface GMPE with the negative epistemic adjustment factor applied

EPISTEMIC_ADJUSTMENT = 'SINTER_LOW'

class openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SSlab(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SInter

Abrahamson et al. (2018) updated “BC Hydro” subduction GMPE for application to subduction in-slab earthquakes.

CASCADIA_ADJUSTMENT = 'adj_slab'

Cascadia adjustment factor

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction IntraSlab'

Supported tectonic region type is subduction in-slab

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'ztor'})

Required rupture parameters for the in-slab model are magnitude and top

compute_base_term(C)

The base term has an additional factor applied for the case of in-slab eventtd

compute_depth_term(C, rup)

Equation on P11

compute_magnitude_term(C, mag)

Returns the magnitude scaling term, this time using the constant “C1slab” as the hinge magnitude

class openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SSlabHigh(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SSlab

Abrahamson et al (2018) subduction in-slab GMPE with the positive epistemic adjustment factor applied

EPISTEMIC_ADJUSTMENT = 'SSLAB_HIGH'

class openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SSlabLow(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2018.AbrahamsonEtAl2018SSlab

Abrahamson et al (2018) subduction in-slab GMPE with the negative epistemic adjustment factor applied

EPISTEMIC_ADJUSTMENT = 'SSLAB_LOW'

abrahamson_silva_1997

Module exports AbrahamsonSilva1997.

class openquake.hazardlib.gsim.abrahamson_silva_1997.AbrahamsonSilva1997(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by N. A. Abrahamson and W. J. Silva and published as “Empirical Response Spectral Attenuation Relations for Shallow Crustal Earthquakes”, Seismological Research Letters, v.68, no. 1, p. 94-127, 1997.

The GMPE distinguishes between rock (vs30 >= 600) and deep soil (vs30 < 600). The rake angle is also taken into account to distinguish between ‘reverse’ (45 <= rake < 135) and ‘other’. If an earthquake rupture is classified as ‘reverse’, then the hanging-wall term is included in the mean calculation.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table (table 3, page 108)

COEFFS_STD = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table for standard deviation calculation (table 4, page 109)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components (see paragraph ‘Regression Model’, page 105)

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are PGA and SA. PGA is assumed to have same coefficients as SA(0.01)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is Total (see equations 13 pp. 106 and table 4, page 109).

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ‘active shallow crust’ (see Introduction, page 94)

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is RRup (eq. 3, page 105).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude, and rake (eq. 3, page 105). Rake is used to distinguish between ‘reverse’ (45 <= rake <= 135) and ‘other’ (i.e. strike-slip and normal). If an earthquake is classified as ‘reverse’ than the hanging-wall term is taken into account.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

The only site parameter is vs30 used to distinguish between rock (vs30 > 600 m/s) and deep soil (see table 2, page 95)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

abrahamson_silva_2008

Module exports AbrahamsonSilva2008.

class openquake.hazardlib.gsim.abrahamson_silva_2008.AbrahamsonSilva2008(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Norman Abrahamson and Walter Silva and published as “Summary of the Abrahamson & Silva NGA Ground-Motion Relations” (2008, Earthquakes Spectra, Volume 24, Number 1, pages 67-97). This class implements only the equations for mainshock/foreshocks/swarms type events, that is the aftershock term (4th term in equation 1, page 74) is set to zero. The constant displacement model (page 80) is also not implemented (that is equation 1, page 74 is used for all periods and no correction is applied for periods greater than the constant displacement period). This class implements also the corrections (for standard deviation and hanging wall term calculation) as described in: http://peer.berkeley.edu/products/abrahamson-silva_nga_report_files/ AS08_NGA_errata.pdf

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables obtained by joining table 5a page 84, and table 5b page 85.

CONSTS = {'c1': 6.75, 'c4': 4.5, 'a3': 0.265, 'a4': -0.231, 'a5': -0.398, 'n': 1.18, 'c': 1.88, 'c2': 50, 'sigma_amp': 0.3}

equation constants (that are IMT independent)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (GMRotI50)'

Supported intensity measure component is orientation-independent average horizontal GMRotI50, see abstract, page 67.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see tables 5a and 5b pages 84, 85, respectively.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see paragraph “Equations for standard deviations”, page 81.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see paragraph ‘Data Set Selection’, see page 68.

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'rjb'})

Required distance measures are Rrup, Rjb and Rx (see Table 2, page 75).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'dip', 'ztor', 'width', 'rake', 'mag'})

Required rupture parameters are magnitude, rake, dip, ztor, and width (see table 2, page 75)

REQUIRES_SITES_PARAMETERS = frozenset({'vs30measured', 'z1pt0', 'vs30'})

Required site parameters are Vs30, Vs30 type (measured or inferred), and Z1.0, see paragraph ‘Soil Depth Model’, page 79, and table 6, page 86.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

afshari_stewart_2016

Module exports AfshariStewart2016,

AfshariStewart2016Japan

class openquake.hazardlib.gsim.afshari_stewart_2016.AfshariStewart2016(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the GMPE of Afshari & Stewart (2016) for relative significant duration for 5 - 75 %, 5 - 95 % and 20 - 80 % Arias Intensity.

Afshari, K. and Stewart, J. P. (2016) “Physically Parameterized Prediction Equations for Signficant Duration in Active Crustal Regions”, Earthquake Spectra, 32(4), 2057 - 2081

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTANTS = {'mstar': 6.0, 'r1': 10.0, 'r2': 50.0, 'v1': 600.0, 'dz1ref': 200.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean horizontal component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.RSD575'>, <class 'openquake.hazardlib.imt.RSD2080'>, <class 'openquake.hazardlib.imt.RSD595'>})

Supported intensity measure types are 5 - 95 % Arias and 5 - 75 % Arias significant duration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation type is only total, see table 7, page 35

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude and top of rupture depth

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Requires vs30

get_distance_term(C, rrup)

Returns the distance scaling term in equation 7

get_magnitude_term(C, rup)

Returns the magnitude scaling term in equation 3

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_site_amplification(C, sites)

Returns the site amplification term

get_stddevs(C, nsites, mag, stddev_types)

Returns the standard deviations

class openquake.hazardlib.gsim.afshari_stewart_2016.AfshariStewart2016Japan(**kwargs)

Bases: openquake.hazardlib.gsim.afshari_stewart_2016.AfshariStewart2016

Adaption of the Afshari & Stewart (2016) GMPE for relative significant duration for the case when the Japan basin model is preferred

akkar_2013

Module exports AkkarEtAl2013.

class openquake.hazardlib.gsim.akkar_2013.AkkarEtAl2013(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRjb2014

To ensure backwards compatibility with existing seismic hazard models, the call AkkarEtAl2013 is retained as legacy. The AkkarEtAl2013 GMPE is now implemented as AkkarEtAlRjb2014

superseded_by

alias of AkkarEtAlRjb2014

akkar_2014

Module exports AkkarEtAlRjb2014

AkkarEtAlRepi2014 AkkarEtAlRhypo2014.

class openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRepi2014(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRjb2014

Implements GMPE developed by S. Akkar, M. A. Sandikkaya, and J. J. Bommer as published in “Empirical Ground-Motion Models for Point- and Extended- Source Crustal Earthquake Scenarios in Europe and the Middle East”, Bullettin of Earthquake Engineering (2014).

The class implements the equations for epicentral distance and based on manuscript provided by the original authors.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_DISTANCES = frozenset({'repi'})

class openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRhyp2014(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRjb2014

Implements GMPE developed by S. Akkar, M. A. Sandikkaya, and J. J. Bommer as published in “Empirical Ground-Motion Models for Point- and Extended- Source Crustal Earthquake Scenarios in Europe and the Middle East”, Bullettin of Earthquake Engineering (2014).

The class implements the equations for hypocentral distance and based on manuscript provided by the original authors.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_DISTANCES = frozenset({'rhypo'})

class openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRjb2014(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by S. Akkar, M. A. Sandikkaya, and J. J. Bommer as published in “Empirical Ground-Motion Models for Point- and Extended- Source Crustal Earthquake Scenarios in Europe and the Middle East”, Bulletin of Earthquake Engineering (2014), 12(1): 359 - 387 The class implements the equations for Joyner-Boore distance and based on manuscript provided by the original authors.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table (from Table 3 and 4a, page 22) Table 4.a: Period-dependent regression coefficients of the RJB ground-motion model sigma is the ‘intra-event’ standard deviation, while tau is the ‘inter-event’ standard deviation

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

The supported intensity measure component is ‘average horizontal’, see section ‘A New Generation of European Ground-Motion Models’, page 8

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

The supported intensity measure types are PGA, PGV, and SA, see table 4.a, pages 22-23

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

The supported standard deviations are total, inter and intra event, see table 4.a, pages 22-23

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

The supported tectonic region type is active shallow crust because the equations have been developed for “all seismically- active regions bordering the Mediterranean Sea and extending to the Middle East”, see section ‘A New Generation of European Ground-Motion Models’, page 4.

REQUIRES_DISTANCES = frozenset({'rjb'})

The required distance parameter is ‘Joyner-Boore’ distance, because coefficients in table 4.a, pages 22-23, are used.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

The required rupture parameters are rake and magnitude, see equation 1, page 20.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

The required site parameter is vs30, see equation 1, page 20.

c1 = 6.75

c1 is the reference magnitude, fixed to 6.75Mw (which happens to be the same value used in Boore and Atkinson, 2008) see paragraph ‘Functional Form of Predictive Equations and Regressions’, page 21

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

Implement equation 1, page 20.

akkar_bommer_2010

Module exports AkkarBommer2010, class:AkkarBommer2010SWISS01, class:AkkarBommer2010SWISS04, class:AkkarBommer2010SWISS08,

class openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Sinan Akkar and Julian J. Bommer and published as “Empirical Equations for the Prediction of PGA, PGV, and Spectral Accelerations in Europe, the Mediterranean Region, and the Middle East”, Seismological Research Letters, 81(2), 195-206. SA at 4 s (not supported by the original equations) has been added in the context of the SHARE project and assumed to be equal to SA at 3 s but scaled with proper factor. Equation coefficients for PGA and SA periods up to 0.05 seconds have been taken from updated model as described in ‘Extending ground-motion prediction equations for spectral accelerations to higher response frequencies’,Julian J. Bommer, Sinan Akkar, Stephane Drouet, Bull. Earthquake Eng. (2012) volume 10, pages 379 - 399. Coefficients for PGV and SA above 0.05 seconds are taken from the original 2010 publication.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

For PGA and SA up to 0.05 seconds, coefficients are taken from table 5, page 385 of ‘Extending ground-motion prediction equations for spectral accelerations to higher response frequencies’, while for PGV and SA with periods greater than 0.05 coefficients are taken from table 1, pages 200-201 of ‘Empirical Equations for the Prediction of PGA, PGV, and Spectral Accelerations in Europe, the Mediterranean Region, and the Middle East’

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components AVERAGE_HORIZONTAL, see page 196.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Set of intensity measure types this GSIM can calculate. A set should contain classes from module openquake.hazardlib.imt.

DEFINED_FOR_REFERENCE_VELOCITY = 760.0

Reference Vs30. See page 2983 (top or right column)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see equation 2, page 199.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ‘active shallow crust’ because the equations have been derived from data from Southern Europe, North Africa, and active areas of the Middle East, as explained in the

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is RRup (eq. 1, page 199).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake (eq. 1, page 199).

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30 (used to distinguish rock and stiff and soft soil).

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010SWISS01(**kwargs)

Bases: openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010

This class extends AkkarBommer2010 adjusted to be used for the Swiss Hazard Model [2014]. This GMPE is valid for a fixed value of vs30=600m/s

# kappa value K-adjustments corresponding to model 01 - as prepared by Ben Edwards K-value for PGA were not provided but infered from SA[0.01s] the model considers a fixed value of vs30=600 to match the reference vs30=1100m/s

# small-magnitude correction

# single station sigma - inter-event magnitude/distance adjustment

Disclaimer: these equations are modified to be used for the Swiss Seismic Hazard Model [2014]. The use of these models is the soly responsability of the hazard modeler.

Model implmented by laurentiu.danciu@gmail.com

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_REFERENCE_VELOCITY = 1105.0

Vs30 value representing typical rock conditions in Switzerland. confirmed by the Swiss GMPE group

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010SWISS04(**kwargs)

Bases: openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010SWISS01

This class extends AkkarBommer2010 following same strategy as for AkkarBommer2010SWISS01

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

class openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010SWISS08(**kwargs)

Bases: openquake.hazardlib.gsim.akkar_bommer_2010.AkkarBommer2010SWISS01

This class extends AkkarBommer2010 following same strategy as for AkkarBommer2010SWISS01 to be used for the Swiss Hazard Model [2014].

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

akkar_bommer_2010_swiss_coeffs

akkar_cagnan_2010

Module exports AkkarCagnan2010.

class openquake.hazardlib.gsim.akkar_cagnan_2010.AkkarCagnan2010(**kwargs)

Bases: openquake.hazardlib.gsim.boore_atkinson_2008.BooreAtkinson2008

Implements GMPE developed by Sinnan Akkar and Zehra Cagnan and published as “A Local Ground-Motion Predictive Model for Turkey, and Its Comparison with Other Regional and Global Ground-Motion Models” (2010, Bulletin of the Seismological Society of America, Volume 100, No. 6, pages 2978-2995). It extends openquake.hazardlib.gsim.boore_atkinson_2008.BooreAtkinson2008 because the linear and non-linear site effects are described by the same site response function used in Boore and Atkinson 2008.

COEFFS_AC10 = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table (from Table 3, p. 2985) sigma is the ‘intra-event’ standard deviation, while tau is the ‘inter-event’ standard deviation

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is geometric mean of two horizontal components : attr:~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL, see paragraph ‘Functional Form’, p. 2981.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see paragraph

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see Table 3, p. 2985.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust (the equations being developed for Turkey, see paragraph ‘Strong Motion Databank’, p. 2981)

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb. See paragraph ‘Functional Form’, p. 2981.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude, and rake. See paragraph ‘Functional Form’, p. 2981.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30. See paragraph ‘Functionl Form’, p. 2981.

c1 = 6.5

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

allen_2012

Module exports Allen2012

class openquake.hazardlib.gsim.allen_2012.Allen2012(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by T. Allen and published as “Stochastic ground- motion prediction equations for southeastern Australian earthquakes using updated source and attenuation parameters”, 2012, Geoscience Australia Record 2012/69. Document available at: https://www.ga.gov.au/products/servlet/controller?event=GEOCAT_DETAILS&catno=74133

COEFFS_DEEP = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients for deep events taken from Excel file produced by Trevor Allen and provided by Geoscience Australia (20120821.GMPE_coeffs.xls) (coefficients in the original report are not correct)

COEFFS_SHALLOW = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients for shallow events taken from Excel file produced by Trevor Allen and provided by Geoscience Australia (20120821.GMPE_coeffs.xls) (coefficients in the original report are not correct)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Median horizontal'

Supported intensity measure component is the median horizontal component see table 7, page 35

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types is spectral acceleration, see table 7, page 35, and PGA (coefficients assumed to be the same of SA(0.01))

DEFINED_FOR_REFERENCE_VELOCITY = 800.0

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is only total, see table 7, page 35

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is stable continental crust

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, see paragraph ‘Regression of Model Coefficients’, page 32

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

Required rupture parameters are magnitude and hypocentral depth, see paragraph ‘Regression of Model Coefficients’, page 32 and tables 7 and 8, pages 35, 36

REQUIRES_SITES_PARAMETERS = frozenset()

No site parameters are needed, the GMPE is calibrated for average South East Australia site conditions (assumed consistent to Vs30 = 820 m/s) see paragraph ‘Executive Summary’, page VII. (provisionally set to 800 for compatibility with SiteTerm class)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

allen_2012_ipe

Module exports :class:’AllenEtAl2012’,

‘AllenEtAl2012Rhypo’

class openquake.hazardlib.gsim.allen_2012_ipe.AllenEtAl2012(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the Intensity Prediction Equation of Allen, Wald and Worden (2012) for Modified Mercalli Intensity in Active Crustal Regions Allen, T. I., Wald, D. J. and Worden, C. B. (2012) Intensity attenuation in active crustal regions, J. Seismology, 16: 409 - 433

This class implements the version using rupture distance, neglecting site amplification

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is not considered for IPEs, so we assume equivalent to ‘average horizontal’

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.MMI'>})

Supported intensity measure types are peak ground acceleration and peak ground velocity

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation types is total.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

The GMPE is derived from induced earthquakes

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is rupture distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude (ML is used)

REQUIRES_SITES_PARAMETERS = frozenset()

No required site parameters (in the present version)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.allen_2012_ipe.AllenEtAl2012Rhypo(**kwargs)

Bases: openquake.hazardlib.gsim.allen_2012_ipe.AllenEtAl2012

Version of the Allen, Wald and Worden (2012) GSIM for hypocentral distance

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral distance

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

ameri_2017

Module exports AmeriEtAl2017Rjb,

AmeriEtAl2017Repi, AmeriEtAl2017RjbStressDrop, AmeriEtAl2017RepiStressDrop

class openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017Repi(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017Rjb

Implements the Ameri et al (2017) GMPE for the case where epicentral distance is used. Standard deviation uses the heteroscedastic formulation given in eqn. 11. (for periods T<=1 s.)

Reference: Ameri, G., Drouet, S., Traversa, P., Bindi, D., Cotton, F., (2017), Toward an empirical ground motion prediction equation for France: accounting for regional differences in the source stress parameter, Bull. Earthquake Eng., 15: 4681-4717.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table “10518_2017_171_MOESM1_ESM.xlsx” in electronic supplementary material:

COEFFS_SIGMA = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_DISTANCES = frozenset({'repi'})

Required distance measure is Repi (eq. 1).

class openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017RepiStressDrop(norm_stress_drop, adjustment_factor=1.0)

Bases: openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017Repi

Implements the Ameri et al (2017) GMPE for the case where epicentral distance is used, and the stress parameter is specified in the Ground-motion logic-tree. Example specification of the normalized stress parameter:

<uncertaintyModel>
    [AmeriEtAl2017RepiStressDrop]
    norm_stress_drop = 0.3
</uncertaintyModel>

The stress parameter is normalized according to STRESS_DROP/REF_STRESS_DROP, where REF_STRESS_DROP varies regionally. The authors used the following values for reference regional stress estimates: 1 bar for the Swtzerland (Swiss Alps+ Foreland), 10 bars for the French Alps + Rhine Graben, and 100 bars for the Pyrenees events. In this cas, the standard deviation implements a homoscedastic formulation.

Reference: Ameri, G., Drouet, S., Traversa, P., Bindi, D., Cotton, F., (2017), Toward an empirical ground motion prediction equation for France: accounting for regional differences in the source stress parameter, Bull. Earthquake Eng., 15: 4681-4717.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017Rjb(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the Ameri et al (2017) GMPE for the case where Joyner-Boore distance is used. Standard deviation uses the heteroscedastic formulation given in eqn. 11. (for periods T<=1 s.)

Reference: Ameri, G., Drouet, S., Traversa, P., Bindi, D., Cotton, F., (2017), Toward an empirical ground motion prediction equation for France: accounting for regional differences in the source stress parameter, Bull. Earthquake Eng., 15: 4681-4717.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table “10518_2017_171_MOESM2_ESM.xlsx” in electronic supplementary material:

COEFFS_SIGMA = <openquake.hazardlib.gsim.base.CoeffsTable object>

COEFFS_STRESS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTS = {'Mref': 5.5, 'Mh': 6.75, 'Rref': 1.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Set of intensity measure types this GSIM can calculate. A set should contain classes from module openquake.hazardlib.imt.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ‘active shallow crust’

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb (eq. 1).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake (eq. 1).

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017RjbStressDrop(norm_stress_drop, adjustment_factor=1.0)

Bases: openquake.hazardlib.gsim.ameri_2017.AmeriEtAl2017Rjb

Implements the Ameri et al (2017) GMPE for the case where Joyner-Boore distance is used, and the stress parameter is specified in the Ground-motion logic-tree. Example specification of the normalizaed stress parameter:

<uncertaintyModel>
    [AmeriEtAl2017RjbStressDrop]
    norm_stress_drop = 0.3
</uncertaintyModel>

The stress parameter is normalized according to STRESS_DROP/REF_STRESS_DROP, where REF_STRESS_DROP varies regionally. The authors used the following values for reference regional stress estimates: 1 bar for the Swtzerland (Swiss Alps +Foreland), 10 bars for the French Alps + Rhine Graben, and 100 bars for the Pyrenees events. In this case, the standard deviation implements a homoscedastic formulation.

Reference: Ameri, G., Drouet, S., Traversa, P., Bindi, D., Cotton, F., (2017), Toward an empirical ground motion prediction equation for France: accounting for regional differences in the source stress parameter, Bull. Earthquake Eng., 15: 4681-4717.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake (eq. 1).

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

armenia_2016

Armenian modification to selected active shallow crustal GMPEs Module exports AkkarEtAlRjb2014Armenia, BindiEtAl2014RjbArmenia, BooreEtAl2014LowQArmenia, CauzziEtAl2014Armenia, KaleEtAl2015Armenia, KothaEtAl2016Armenia, ChiouYoungs2014Armenia

class openquake.hazardlib.gsim.armenia_2016.AkkarEtAlRjb2014Armenia(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.akkar_2014.AkkarEtAlRjb2014

A

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.armenia_2016.BindiEtAl2014RjbArmenia(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014Rjb

Adjustment of Bindi et al based on Armenian data

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.armenia_2016.BooreEtAl2014LowQArmenia(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQ

Adjustment of Boore et al for Low Q regions - adjusted for Armenian data

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.armenia_2016.CauzziEtAl2014Armenia(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014

Adjustment of Cauzzi et al. (2014) for Armenia

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.armenia_2016.ChiouYoungs2014Armenia(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014

Adaptation of Chiou & Youngs (2014) for use in Armenia

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.armenia_2016.KaleEtAl2015Armenia(**kwargs)

Bases: openquake.hazardlib.gsim.kale_2015.KaleEtAl2015Turkey

Adjustment of Kale et al (2015) - Turkish version, for use in Armenia

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.armenia_2016.KothaEtAl2016Armenia(**kwargs)

Bases: openquake.hazardlib.gsim.kotha_2016.KothaEtAl2016Turkey

Adaptation of Kotha et al. (2016) - Turkey Regionalisation - for use in Armenia

ADJUST = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

atkinson_2015

Module exports :class:’Atkinson2015’

class openquake.hazardlib.gsim.atkinson_2015.Atkinson2015(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the Induced Seismicity GMPE of Atkinson (2015) Atkinson, G. A. (2015) Ground-Motion Prediction Equation for Small-to- Moderate Events at Short Hypocentral Distances, with Application to Induced-Seismicity Hazards. Bulletin of the Seismological Society of America. 105(2).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (RotD50)'

Supported intensity measure component is the larger of two components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types is total.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Induced'

The GMPE is derived from induced earthquakes

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

REQUIRES_SITES_PARAMETERS = frozenset()

No required site parameters, the GMPE is derived for B/C site amplification factors

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

GMPE not tested against independent implementation so raise not verified warning

atkinson_boore_1995

Module exports AtkinsonBoore1995GSCBest, AtkinsonBoore1995GSCLowerLimit, AtkinsonBoore1995GSCUpperLimit

class openquake.hazardlib.gsim.atkinson_boore_1995.AtkinsonBoore1995GSCBest(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implement equation used by the Geological Survey of Canada (GSC) for the 2010 Eastern Canada National Seismic Hazard Model. The equation fits the table values defined by Gail M. Atkinson and David M. Boore in “Ground-Motion Relations for Eastern North America”, Bullettin of the Seismological Society of America, Vol. 85, No. 1, pp. 17-30, February 1995. Table of coefficients were provided by GSC and are associated to the ‘Best’ case (that is mean value unaffected).

The class assumes magnitude to be in Mblg scale. The Atkinson 1993 conversion equation is used to obtain Mw values.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

coefficient table provided by GSC

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Random horizontal'

Supported intensity measure component is random horizontal RANDOM_HORIZONTAL, see page 22 in Atkinson and Boore’s manuscript

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is stable continental, given that the equations have been derived for Eastern North America

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral distance see page 18 in Atkinson and Boore’s manuscript

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is magnitude

REQUIRES_SITES_PARAMETERS = frozenset()

site params are not required

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_1995.AtkinsonBoore1995GSCLowerLimit(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_1995.AtkinsonBoore1995GSCBest

Implement equation used by the Geological Survey of Canada (GSC) for the 2010 Eastern Canada National Seismic Hazard Model. The equation fits the table values defined by Gail M. Atkinson and David M. Boore in “Ground-Motion Relations for Eastern North America”, Bullettin of the Seismological Society of America, Vol. 85, No. 1, pp. 17-30, February 1995. Table of coefficients were provided by GSC and are associated to the ‘Lower Limit’ case (that is mean value decreased).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

coefficient table provided by GSC

class openquake.hazardlib.gsim.atkinson_boore_1995.AtkinsonBoore1995GSCUpperLimit(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_1995.AtkinsonBoore1995GSCBest

Implement equation used by the Geological Survey of Canada (GSC) for the 2010 Eastern Canada National Seismic Hazard Model. The equation fits the table values defined by Gail M. Atkinson and David M. Boore in “Ground-Motion Relations for Eastern North America”, Bullettin of the Seismological Society of America, Vol. 85, No. 1, pp. 17-30, February 1995. Table of coefficients were provided by GSC and are associated to the ‘Upper Limit’ case (that is mean value increased).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

coefficient table provided by GSC

atkinson_boore_2003

Module exports AtkinsonBoore2003SInter, AtkinsonBoore2003SSlab, AtkinsonBoore2003SInterNSHMP2008, AtkinsonBoore2003SSlabNSHMP2008, AtkinsonBoore2003SSlabCascadia, AtkinsonBoore2003SSlabCascadiaNSHMP2008, AtkinsonBoore2003SSlabJapan AtkinsonBoore2003SSlabJapanNSHMP2008

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SInter(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by G. M Atkinson and D. Boore and published as “Empirical Ground-Motion Relations for Subduction-Zone Earthquakes and Their Application to Cascadia and Other Regions” (Bulletin of the Seismological Society of America, Volume 93, Number 4, pages 1703-1929, 2003) and includes correction for subduction interface equations as described in “Erratum to ‘Empirical Ground Motion Relations for Subduction-Zone Earthquakes and their application to Cascadia and other regions’”, Gail M. Atkinson and David M. Boore, Volume 98, Number 5, pp.2567-2569, 2008. The class implements the global model but not the corrections for Japan/Cascadia. SA values at 4 s (not supported by the original equations) are obtained from mean value at 3 s divided by a factor equal to 0.550 (scaling factor computed in the context of the SHARE project and obtained as average ratio between median values at 4 and 3 seconds as predicted by SHARE subduction GMPEs). The class implements the equations for ‘Subduction Interface’ (that’s why the class name ends with ‘SInter’).

COEFFS_SINTER = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Random horizontal'

Supported intensity measure component is the random horizontal component: attr:~openquake.hazardlib.const.IMC.RANDOM_HORIZONTAL, see paragraph ‘Functional : Form’, page 1706

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration, see table 1, page 1715

DEFINED_FOR_REFERENCE_VELOCITY = 600

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see table 1, page 1715

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

Supported tectonic region type is subduction interface

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, see equation 1, page 1706

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

Required rupture parameters are magnitude and focal depth, see equation 1, page 1706

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30, used to distinguish between NEHRP soil classes, see paragraph ‘Functional Form’, page 1706

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SInterNSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SInter

Extend AtkinsonBoore2003SInter and introduces site amplification for B/C site condition and fixed rupture hypocentral depth (20 km) as defined by the National Seismic Hazard Mapping Project (NSHMP) for the 2008 US hazard model

Site amplification for B/C is triggered when vs30 > 760 and it is computed as site amplification for C soil scaled by a factor equal to 0.5

The class implements the equation as coded in subroutine getABsub in hazSUBXnga.f Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

Call super class method with hypocentral depth fixed at 20 km

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlab(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SInter

Implements GMPE developed by G. M Atkinson and D. Boore and published as “Empirical Ground-Motion Relations for Subduction-Zone Earthquakes and Their Application to Cascadia and Other Regions” (Bulletin of the Seismological Society of America, Volume 93, Number 4, pages 1703-1929, 2003). The class implements the global model but not the corrections for Japan/Cascadia. SA values at 4 s (not supported by the original equations) are obtained from mean value at 3 s divided by a factor equal to 0.550 (scaling factor computed in the context of the SHARE project and obtained as average ratio between median values at 4 and 3 seconds as predicted by SHARE subduction GMPEs). The class implements the equations for ‘Subduction IntraSlab’ (that’s why the class name ends with ‘SSlab’).

COEFFS_SSLAB = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction IntraSlab'

Supported tectonic region type is subduction interface

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabCascadia(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlab

Extends AtkinsonBoore2003SSlab but uses coefficients for Cascadia region

The class replicates the equation as coded in subroutine getABsub in hazgridXnga2.f Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/

COEFFS_SSLAB = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabCascadiaNSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabCascadia, openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabNSHMP2008

Combines AtkinsonBoore2003SSlabNSHMP2008 for NSHMP site amplification with AtkinsonBoore2003SSlabCascadia for Cascadia.

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabJapan(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlab

Extends AtkinsonBoore2003SSlab but substitutes values for c1 from Table 3 which incorporate correction factors for Japan.

COEFFS_SSLAB = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabJapanNSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabJapan, openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabNSHMP2008

Combines AtkinsonBoore2003SSlabNSHMP2008 for NSHMP site amplification with AtkinsonBoore2003SSlabJapan for Japan.

Validation test vector was generated by applying increments in columns 1 and 2 of Table 3 to test vector for AtkinsonBoore2003SSlabCascadiaNSHMP2008.

class openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlabNSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2003.AtkinsonBoore2003SSlab

Extend AtkinsonBoore2003SSlab and introduces site amplification for B/C site condition as defined by the National Seismic Hazard Mapping Project (NSHMP) for the 2008 US hazard model.

Site amplification for B/C is triggered when vs30 > 760 and it is computed as site amplification for C soil scaled by a factor equal to 0.5

The class replicates the equation as coded in subroutine getABsub in hazgridXnga2.f Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/

atkinson_boore_2006

Module exports AtkinsonBoore2006, AtkinsonBoore2006MblgAB1987bar140NSHMP2008, AtkinsonBoore2006MblgJ1996bar140NSHMP2008, AtkinsonBoore2006Mwbar140NSHMP2008, AtkinsonBoore2006MblgAB1987bar200NSHMP2008, AtkinsonBoore2006MblgJ1996bar200NSHMP2008, AtkinsonBoore2006Mwbar200NSHMP2008, AtkinsonBoore2006Modified2011.

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006(**kwargs)

Bases: openquake.hazardlib.gsim.boore_atkinson_2008.BooreAtkinson2008

Implements GMPE developed by Gail M. Atkinson and David M. Boore and published as “Earthquake Ground-Motion Prediction Equations for Eastern North America” (2006, Bulletin of the Seismological Society of America, Volume 96, No. 6, pages 2181-2205). This class implements only the equations for stress parameter of 140 bars. The correction described in ‘Adjustment of Equations to Consider Alternative Stress Parameters’, p. 2198, is not implemented. This class extends the BooreAtkinson2008 because it uses the same soil amplification function. Note that in the paper, the reported soil amplification function is the one used in a preliminary version of the Boore and Atkinson 2008 GMPE, while the one that should be used is the one described in the final paper. See comment in: http://www.daveboore.com/pubs_online/ab06_gmpes_programs_and_tables.pdf

COEFFS_BC = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients for NEHRP BC boundary (Vs30 = 760 m/s), table 9, pag 2202 coefficient values taken from Fortran implementation of Dave Boore (higher precision than in the paper)

COEFFS_HARD_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

Hard rock coefficents, table 6, pag 2192, coefficient values taken from Fortran implementation of Dave Boore (higher precision than in the paper)

COEFFS_IMT_INDEPENDENT = {'std_total': 0.6907755278982136, 'R0': 10.0, 'R1': 70.0, 'R2': 140.0, 'v1': 180.0, 'v2': 300.0, 'Vref': 760.0}

IMT-independent coefficients. std_total is the total standard deviation, see Table 6, pag 2192 and Table 9, pag 2202. R0, R1, R2 are coefficients required for mean calculation - see equation (5) pag 2191. v1, v2, Vref are coefficients required for soil response calculation, see table 8, p. 2201

COEFFS_STRESS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

Supported intensity measure component is horizontal HORIZONTAL, see paragraph ‘Results’, pag 2190, and caption to table 6, p. 2192

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see paragraph ‘Methodology and Model Parameters’, p. 2182

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is total, see table 6 and 9, p. 2192 and 2202, respectively.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is stable continental, given that the equations have been derived for Eastern North America

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is Rrup. See paragraph ‘Methodology and Model Parameters’, p. 2182

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is magnitude (see paragraph ‘Methodology and Model Parameters’, p. 2182)

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30. See paragraph ‘Equations for soil sites’, p. 2200

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgAB1987bar140NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006

Implements GMPE developed by Gail M. Atkinson and David M. Boore and published as “Earthquake Ground-Motion Prediction Equations for Eastern North America” (2006, Bulletin of the Seismological Society of America, Volume 96, No. 6, pages 2181-2205) as utilized by the National Seismic Hazard Mapping Project (NSHMP) for the 2008 central and eastern US model.

The class replicates the algorithm as coded in subroutine getAB06 in hazgridXnga2.f Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/

The class implement the equation for static stress drop equal to 140 bar.

The class assumes rupture magnitude to be in Mblg scale (given that MFDs for central and eastern US are given in this scale). Therefore Mblg is converted to Mw by using Atkinson and Boore 1987 conversion equation.

Mean value is clipped at 1.5 g for PGA and 3.0 g for SA with periods in range (0.02, 0.55) s.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgAB1987bar200NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006

Same as AtkinsonBoore2006MblgAB1987bar140NSHMP2008 but with adjustment for 200 bar stress drop

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgJ1996bar140NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgAB1987bar140NSHMP2008

Extend AtkinsonBoore2006MblgAB1987bar140NSHMP2008 but uses Johnston 1996 equation to convert from Mblg to Mw

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgJ1996bar200NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgAB1987bar200NSHMP2008

Extend AtkinsonBoore2006MblgAB1987bar200NSHMP2008 but uses Johnston 1996 equation to convert from Mblg to Mw

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006Modified2011(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006

This GMPE modifies the original implementation of :class: AtkinsonBoore2006 with the magnitude dependent stress-drop scaling factor proposed in Atkinson & Boore (2011) Atkinson, G. A. and Boore D. M. (2011) Modifications to Existing Ground-Motion Prediciton Equations in Light of New Data. Bulletin of the Seismological Society of America, 101(3), 1121 - 1135

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006Mwbar140NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgAB1987bar140NSHMP2008

Extend AtkinsonBoore2006MblgAB1987bar140NSHMP2008 but assumes magnitude to be in Mw scale and thefore no conversion is applied

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006Mwbar200NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006MblgAB1987bar200NSHMP2008

Extend AtkinsonBoore2006MblgAB1987bar200NSHMP2008 but assumes magnitude to be in Mw scale therefore no conversion is applied

class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006SGS(**kwargs)

Bases: openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006

This class extends the original base class openquake.hazardlib.gsim.atkinson_boore_2006.AtkinsonBoore2006 by introducing a distance filter for the near field, as implemented by SGS for the national PSHA model for Saudi Arabia.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Using a minimum distance of 5km for the calculation.

atkinson_macias_2009

Module exports :class:’AtkinsonMacias2009’

class openquake.hazardlib.gsim.atkinson_macias_2009.AtkinsonMacias2009(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the Subduction Interface GMPE of Atkinson & Macias (2009) for large interface earthquakes in the Cascadia subduction zone. Atkinson, G. M. and Macias, M. (2009) “Predicted Ground Motions for Great Interface Earthquakes in the Cascadia Subduction Zone”, Bulletin of the Seismological Society of America, 99(3), 1552 - 1578

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Random horizontal'

Supported intensity measure component is assumed to be equivalent to the random horizontal component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are peak ground acceleration and Spectral Acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation types is total.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

The GMPE is derived for subduction interface earthquakes in Cascadia

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is rupture distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

REQUIRES_SITES_PARAMETERS = frozenset()

No required site parameters, the GMPE is derived for B/C site conditions

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

base

Module openquake.hazardlib.gsim.base defines base classes for different kinds of ground shaking intensity models.

exception openquake.hazardlib.gsim.base.AdaptedWarning

Bases: UserWarning

Raised for GMPEs that are intended for experimental use or maybe subject to changes in future version.

class openquake.hazardlib.gsim.base.CoeffsTable(**kwargs)

Bases: object

Instances of CoeffsTable encapsulate tables of coefficients corresponding to different IMTs.

Tables are defined in a space-separated tabular form in a simple string literal (heading and trailing whitespace does not matter). The first column in the table must be named “IMT” (or “imt”) and thus should represent IMTs:

>>> CoeffsTable(table='''imf z
...                      pga 1''')
Traceback (most recent call last):
    ...
ValueError: first column in a table must be IMT

Names of other columns are used as coefficients dicts keys. The values in the first column should correspond to real intensity measure types, see openquake.hazardlib.imt:

>>> CoeffsTable(table='''imt  z
...                      pgx  2''')
Traceback (most recent call last):
    ...
ValueError: unknown IMT 'PGX'

Note that CoeffsTable only accepts keyword argumets:

>>> CoeffsTable()
Traceback (most recent call last):
    ...
TypeError: CoeffsTable requires "table" kwarg
>>> CoeffsTable(table='', foo=1)
Traceback (most recent call last):
    ...
TypeError: CoeffsTable got unexpected kwargs: {'foo': 1}

If there are SA IMTs in the table, they are not referenced by name, because they require parametrization:

>>> CoeffsTable(table='''imt  x
...                      sa   15''')
Traceback (most recent call last):
    ...
ValueError: specify period as float value to declare SA IMT
>>> CoeffsTable(table='''imt  x
...                      0.1  20''')
Traceback (most recent call last):
    ...
TypeError: attribute "sa_damping" is required for tables defining SA

So proper table defining SA looks like this:

>>> ct = CoeffsTable(sa_damping=5, table='''
...     imt   a    b     c   d
...     pga   1    2.4  -5   0.01
...     pgd  7.6  12     0  44.1
...     0.1  10   20    30  40
...     1.0   1    2     3   4
...     10    2    4     6   8
... ''')

Table objects could be indexed by IMT objects (this returns a dictionary of coefficients):

>>> from openquake.hazardlib import imt
>>> ct[imt.PGA()] == dict(a=1, b=2.4, c=-5, d=0.01)
True
>>> ct[imt.PGD()] == dict(a=7.6, b=12, c=0, d=44.1)
True
>>> ct[imt.SA(damping=5, period=0.1)] == dict(a=10, b=20, c=30, d=40)
True
>>> ct[imt.PGV()]
Traceback (most recent call last):
    ...
KeyError: PGV
>>> ct[imt.SA(1.0, 4)]
Traceback (most recent call last):
    ...
KeyError: SA(1.0, 4)

Table of coefficients for spectral acceleration could be indexed by instances of openquake.hazardlib.imt.SA with period value that is not specified in the table. The coefficients then get interpolated between the ones for closest higher and closest lower period. That scaling of coefficients works in a logarithmic scale of periods and only within the same damping:

>>> '%.5f' % ct[imt.SA(period=0.2, damping=5)]['a']
'7.29073'
>>> '%.5f' % ct[imt.SA(period=0.9, damping=5)]['c']
'4.23545'
>>> '%.5f' % ct[imt.SA(period=5, damping=5)]['c']
'5.09691'
>>> ct[imt.SA(period=0.9, damping=15)]
Traceback (most recent call last):
    ...
KeyError: SA(0.9, 15)

Extrapolation is not possible:

>>> ct[imt.SA(period=0.01, damping=5)]
Traceback (most recent call last):
    ...
KeyError: SA(0.01)

It is also possible to instantiate a table from a tuple of dictionaries, corresponding to the SA coefficients and non-SA coefficients:

>>> coeffs = {imt.SA(0.1): {"a": 1.0, "b": 2.0},
...           imt.SA(1.0): {"a": 3.0, "b": 4.0},
...           imt.PGA(): {"a": 0.1, "b": 1.0},
...           imt.PGV(): {"a": 0.5, "b": 10.0}}
>>> ct = CoeffsTable(sa_damping=5, table=coeffs)

num_instances = 331

exception openquake.hazardlib.gsim.base.ExperimentalWarning

Bases: UserWarning

Raised for GMPEs that are intended for experimental use or maybe subject to changes in future version.

class openquake.hazardlib.gsim.base.GMPE(**kwargs)

Bases: openquake.hazardlib.gsim.base.GroundShakingIntensityModel

Ground-Motion Prediction Equation is a subclass of generic GroundShakingIntensityModel with a distinct feature that the intensity values are log-normally distributed.

Method get_mean_and_stddevs() of actual GMPE implementations is supposed to return the mean value as a natural logarithm of intensity.

get_mean_std(ctxs, imts)

Returns:an array of shape (2, N, M) with means and stddevs

get_poes(mean_std, loglevels, trunclevel, af=None, ctxs=())

Calculate and return probabilities of exceedance (PoEs) of one or more intensity measure levels (IMLs) of one intensity measure type (IMT) for one or more pairs “site – rupture”.

Parameters:

• mean_std – An array of shape (2, N, M) with mean and standard deviations for the sites and intensity measure types
• loglevels – A DictArray imt -> logs of intensity measure levels
• trunclevel –

  Can be None, which means that the distribution of intensity is treated as Gaussian distribution with possible values ranging from minus infinity to plus infinity.

  When set to zero, the mean intensity is treated as an exact value (standard deviation is not even computed for that case) and resulting array contains 0 in places where IMT is strictly lower than the mean value of intensity and 1.0 where IMT is equal or greater.

  When truncation level is positive number, the intensity distribution is processed as symmetric truncated Gaussian with range borders being mean - truncation_level * stddev and mean + truncation_level * stddev. That is, the truncation level expresses how far the range borders are from the mean value and is defined in units of sigmas. The resulting PoEs for that mode are values of complementary cumulative distribution function of that truncated Gaussian applied to IMLs.

• af – None or an instance of AmplFunction
• ctxs – Context object used to compute mean_std

Returns:

array of PoEs of shape (N, L)

Raises:

ValueError – If truncation level is not None and neither non-negative float number, and if imts dictionary contain wrong or unsupported IMTs (see DEFINED_FOR_INTENSITY_MEASURE_TYPES).

open(fname_or_file)

Parameters:fname_or_file – filename or filelike object Returns:the file object

set_parameters()

Combines the parameters of the GMPE provided at the construction level with the ones originally assigned to the backbone modified GMPE.

class openquake.hazardlib.gsim.base.GroundShakingIntensityModel(**kwargs)

Bases: object

Base class for all the ground shaking intensity models.

A Ground Shaking Intensity Model (GSIM) defines a set of equations for computing mean and standard deviation of a Normal distribution representing the variability of an intensity measure (or of its logarithm) at a site given an earthquake rupture.

This class is not intended to be subclassed directly, instead the actual GSIMs should subclass GMPE

Subclasses of both must implement get_mean_and_stddevs() and all the class attributes with names starting from DEFINED_FOR and REQUIRES.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT

Reference to a intensity measure component type this GSIM can calculate mean and standard deviation for.

DEFINED_FOR_INTENSITY_MEASURE_TYPES

Set of intensity measure types this GSIM can calculate. A set should contain classes from module openquake.hazardlib.imt.

DEFINED_FOR_STANDARD_DEVIATION_TYPES

Set of standard deviation types this GSIM can calculate.

DEFINED_FOR_TECTONIC_REGION_TYPE

Reference to a tectonic region type this GSIM is defined for. One GSIM can implement only one tectonic region type.

REQUIRES_DISTANCES

Set of types of distance measures between rupture and sites. Possible values are:

rrup

Closest distance to rupture surface. See get_min_distance().

rjb

Distance to rupture’s surface projection. See get_joyner_boore_distance().

rx

Perpendicular distance to rupture top edge projection. See get_rx_distance().

ry0

Horizontal distance off the end of the rupture measured parallel to See get_ry0_distance().

rcdpp

Direct point parameter for directivity effect centered on the site- and earthquake-specific See get_dppvalue().

rvolc

Source to site distance passing through surface projection of volcanic zone

All the distances are available from the DistancesContext object attributes with same names. Values are in kilometers.

REQUIRES_RUPTURE_PARAMETERS

Set of rupture parameters (excluding distance information) required by GSIM. Supported parameters are:

mag

Magnitude of the rupture.

dip

Rupture’s surface dip angle in decimal degrees.

rake

Angle describing the slip propagation on the rupture surface, in decimal degrees. See nodalplane for more detailed description of dip and rake.

ztor

Depth of rupture’s top edge in km. See get_top_edge_depth().

These parameters are available from the RuptureContext object attributes with same names.

REQUIRES_SITES_PARAMETERS

Set of site parameters names this GSIM needs. The set should include strings that match names of the attributes of a site object. Those attributes are then available in the SitesContext object with the same names.

adapted = False

experimental = False

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Calculate and return mean value of intensity distribution and it’s standard deviation.

Method must be implemented by subclasses.

Parameters:

• sites – Instance of openquake.hazardlib.site.SiteCollection with parameters of sites collection assigned to respective values as numpy arrays. Only those attributes that are listed in class’ REQUIRES_SITES_PARAMETERS set are available.
• rup – Instance of openquake.hazardlib.source.rupture.BaseRupture with parameters of a rupture assigned to respective values. Only those attributes that are listed in class’ REQUIRES_RUPTURE_PARAMETERS set are available.
• dists – Instance of DistancesContext with values of distance measures between the rupture and each site of the collection assigned to respective values as numpy arrays. Only those attributes that are listed in class’ REQUIRES_DISTANCES set are available.
• imt – An instance (not a class) of intensity measure type. See openquake.hazardlib.imt.
• stddev_types – List of standard deviation types, constants from openquake.hazardlib.const.StdDev. Method result value should include standard deviation values for each of types in this list.

Returns:

Method should return a tuple of two items. First item should be a numpy array of floats – mean values of respective component of a chosen intensity measure type, and the second should be a list of numpy arrays of standard deviation values for the same single component of the same single intensity measure type, one array for each type in stddev_types parameter, preserving the order.

Combining interface to mean and standard deviation values in a single method allows to avoid redoing the same intermediate calculations if there are some shared between stddev and mean formulae without resorting to keeping any sort of internal state (and effectively making GSIM not reenterable).

However it is advised to split calculation of mean and stddev values and make get_mean_and_stddevs() just combine both (and possibly compute interim steps).

minimum_distance = 0

non_verified = False

superseded_by = None

class openquake.hazardlib.gsim.base.MetaGSIM

Bases: abc.ABCMeta

A metaclass converting set class attributes into frozensets, to avoid mutability bugs without having to change already written GSIMs. Moreover it performs some checks against typos.

exception openquake.hazardlib.gsim.base.NotVerifiedWarning

Bases: UserWarning

Raised when a non verified GSIM is instantiated

openquake.hazardlib.gsim.base.gsim_imt_dt(sorted_gsims, sorted_imts)

Build a numpy dtype as a nested record with keys ‘idx’ and nested (gsim, imt).

Parameters:

• sorted_gsims – a list of GSIM instances, sorted lexicographically
• sorted_imts – a list of intensity measure type strings

openquake.hazardlib.gsim.base.to_distribution_values(vals, imt)

Returns:the logarithm of the values unless the IMT is MMI

baumont_2018

Module exports :

class:BaumontEtAl2018High2210IAVGDC30n7

class openquake.hazardlib.gsim.baumont_2018.BaumontEtAl2018High2210IAVGDC30n7(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements “Intensity predictive attenuation models calibrated in Mw for metropolitan France David Baumont,Kévin Manchuel,Paola Traversa, Christophe Durouchoux, Emmanuelle Nayman, Gabriele Ameri Bull Earthquake Eng (2018) 16:2285–2310 https://doi.org/10.1007/s10518-018-0344-6 functional given on page 2293 for Rhypo This class implements the model Intensity Model:Q Domain:Depth Control:DBMI Data Selection given in Table 1: Intensity model: (1) Regional geometrical spreading, (2) Geometrical spreading and regional intrinsic attenuation Q-domain:(0) France, (1) France and Italy, (2) Q-regions (France and Italy) Depth control: (0) Depth fixed, (1) Depth free within the plausible range defined in Table 3, (2) Similar to depth case # 1 but with Io constraints DBMI data selection: (0) IDP(MCS) <= VII, (1) IDP(MCS) <= VI Min Dc (km): 30, 50 Min # intensity classes: 3,5,7 Intensity metrics: IAVG, RAVG, ROBS, RP50, RP84 ################################ the model implmented is [2.2.1.0] for high attenuation, MinDc=30 and Min = 7 int. classes and IAVG as the base classes

Implemented by laurentiu.danciu@sed.ethz.ch

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.MMI'>})

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

REQUIRES_DISTANCES = frozenset({'rhypo'})

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

REQUIRES_SITES_PARAMETERS = frozenset()

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

bchydro_2016_epistemic

class openquake.hazardlib.gsim.bchydro_2016_epistemic.BCHydroESHM20SInter(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInter

ESHM20 adjustment of the BC Hydro GMPE for subduction interface events with theta6 calibrated to Mediterranean data.

Introduces several configurable parameters:

Parameters:

• theta6_adjustment (float) – The amount to increase or decrease the theta6 - should be +0.0015 (for slower attenuation) and -0.0015 (for faster attenuation)
• sigma_mu_epsilon (float) – The number of standard deviations above or below the mean to apply the statistical uncertainty sigma_mu term.
• faba_model – Choice of model for the forearc/backarc tapering function, choice of {“Step”, “Linear”, “SFunc”, “Sigmoid”, “Gaussian”}

Depending on the choice of taper model, additional parameters may be passed

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_SITES_PARAMETERS = frozenset({'xvf', 'vs30'})

experimental = True

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Returns mean and stddevs applying the statistical uncertainty if needed

class openquake.hazardlib.gsim.bchydro_2016_epistemic.BCHydroESHM20SInterHigh(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInterHigh

ESHM20 adjustment of the BC Hydro GMPE for subduction interface events with theta6 calibrated to Mediterranean data, for the high magnitude scaling branch.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_SITES_PARAMETERS = frozenset({'xvf', 'vs30'})

experimental = True

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Returns mean and stddevs applying the statistical uncertainty if needed

class openquake.hazardlib.gsim.bchydro_2016_epistemic.BCHydroESHM20SInterLow(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SInterLow

ESHM20 Adjustment of the BC Hydro GMPE for subduction interface events with theta6 calibrated to Mediterranean data, for the low magnitude scaling branch.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_SITES_PARAMETERS = frozenset({'xvf', 'vs30'})

experimental = True

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Returns mean and stddevs applying the statistical uncertainty if needed

class openquake.hazardlib.gsim.bchydro_2016_epistemic.BCHydroESHM20SSlab(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlab

ESHM20 adjustment of the BC Hydro GMPE for subduction in-slab events with theta6 calibrated to Mediterranean data.

Introduces two configurable parameters:

a6_adjustment - the amount to increase or decrease the theta6 (should be +0.0015 (for slower attenuation) and -0.0015 (for faster attenuation)

sigma_mu_epsilon - number of standard deviations above or below the mean to apply the statistical uncertainty sigma_mu term.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_SITES_PARAMETERS = frozenset({'xvf', 'vs30'})

experimental = True

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Returns mean and stddevs applying the statistical uncertainty if needed

class openquake.hazardlib.gsim.bchydro_2016_epistemic.BCHydroESHM20SSlabHigh(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlabHigh

ESHM20 adjustment of the BC Hydro GMPE for subduction interface events with theta6 calibrated to Mediterranean data, for the high magnitude scaling branch.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_SITES_PARAMETERS = frozenset({'xvf', 'vs30'})

experimental = True

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Returns mean and stddevs applying the statistical uncertainty if needed

class openquake.hazardlib.gsim.bchydro_2016_epistemic.BCHydroESHM20SSlabLow(**kwargs)

Bases: openquake.hazardlib.gsim.abrahamson_2015.AbrahamsonEtAl2015SSlabLow

ESHM20 adjustment of the BC Hydro GMPE for subduction in-slab events with theta6 calibrated to Mediterranean data, for the low magnitude scaling branch.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_SITES_PARAMETERS = frozenset({'xvf', 'vs30'})

experimental = True

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Returns mean and stddevs applying the statistical uncertainty if needed

class openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperGaussian(**kwargs)

Bases: openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperStep

Implements tapering of x according to a truncated Gaussian function

Parameters:

• sigma (float) – Bandwidth of function (according to a Gaussian standard deviation)
• a (float) – Initiation point of tapering (km)
• b (float) – Termination point of tapering (km)

class openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperLinear(**kwargs)

Bases: openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperStep

Implements a tapering of x according to a linear function with a fixed distance and a midpoint (y = 0.5) at x = 0

Parameters:width (float) – Distance (km) across which x tapers to 0

class openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperSFunc(**kwargs)

Bases: openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperStep

Implements tapering of x according to a S-function (Named such because of its S-like shape.)

Parameters:

• a (float) – ‘ceiling’, where the function begins falling from 1.
• b (float) – ‘floor’, where the function reaches zero.

class openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperSigmoid(**kwargs)

Bases: openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperStep

Implements tapering of x according to a sigmoid function (Note that this only tends to 1, 0 it does not reach it)

Parameters:c (float) – Bandwidth in km of the sigmoid function

class openquake.hazardlib.gsim.bchydro_2016_epistemic.FABATaperStep(**kwargs)

Bases: object

General class for a tapering function, in this case a step function such that the backarc scaling term takes 0 for forearc sites (negative backarc distance), and 1 for backarc sites (positive backarc distance)

openquake.hazardlib.gsim.bchydro_2016_epistemic.get_stress_factor(imt, slab=False)

Returns the stress adjustment factor for the BC Hydro GMPE according to Abrahamson et al. (2018)

openquake.hazardlib.gsim.bchydro_2016_epistemic.phix(x)

berge_thierry_2003

Module exports BergeThierryEtAl2003SIGMA.

class openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003Ms(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Catherine Berge-Thierry, Fabrice Cotton, Oona Scoti, Daphne-Anne Griot-Pommera, and Yoshimitsu Fukushima and published as “New Empirical Response Spectral Attenuation Laws For Moderate European Earthquakes” (2003, Journal of Earthquake Engineering, 193-222) This class corresponds to the original formulation, usable with Ms.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper. Original coefficients in function of frequency.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

Supported intensity measure component is horizontal, see page 196.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration. The original manuscript provide coefficients only SA. For PGA, coefficients are assumed equal to the ones of SA for the smallest period (0.03 s)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is total, see table 3, page 203

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see Introduction, page 194.

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral distance, see equation 1 page 201

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters is magnitude, see equation 1 page 201

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30, used to distinguish between rock sites (Vs30 >= 800) m/s and alluvium sites (300 < Vs < 800), see section 2.2.3 page 201

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003MwL_GBL(**kwargs)

Bases: openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003Ms

Mw version of the Berge-Thierry et al. (2003) GMPE. For this conversion we use the Lolli et al. (2014) conversion equation between Ms and Mw for the GBL region (i.e. Global Scale). Exponential model: Mw = exp(a+b*Ms)+c with slope=b*exp(a+b*Ms) Parameters: for Ms<=5.5: (a,b,c) = (2.133,0.063,-6.205) for Ms>5.5: (a,b,c) = (-0.109,0.229,2.586)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003MwL_ITA(**kwargs)

Bases: openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003Ms

Mw version of the Berge-Thierry et al. (2003) GMPE. For this conversion we use the Lolli et al. (2014) conversion equation between Ms and Mw for the ITA region. Exponential model: Mw = exp(a+b*Ms)+c with slope=b*exp(a+b*Ms) Parameters: (a,b,c) = (1.421,0.108,-1.863)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003MwL_MED(**kwargs)

Bases: openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003Ms

Mw version of the Berge-Thierry et al. (2003) GMPE. For this conversion we use the Lolli et al. (2014) conversion equation between Ms and Mw for the Euro-Mediterranean region. Exponential model: Mw = exp(a+b*Ms)+c with slope=b*exp(a+b*Ms) Parameters: (a,b,c) = (2.133,0.063,-6.205)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003MwW(**kwargs)

Bases: openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003Ms

Mw version of the Berge-Thierry et al. (2003) GMPE. For this conversion we use the Weatherill et al. (2016) conversion equation between Ms and Mw Bilinear magnitude conversion relation.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

class openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003SIGMA(**kwargs)

Bases: openquake.hazardlib.gsim.berge_thierry_2003.BergeThierryEtAl2003Ms

Implements GMPE developed by Catherine Berge-Thierry, Fabrice Cotton, Oona Scoti, Daphne-Anne Griot-Pommera, and Yoshimitsu Fukushima and published as “New Empirical Response Spectral Attenuation Laws For Moderate European Earthquakes” (2003, Journal of Earthquake Engineering, 193-222) The class implements also adjustment of the sigma value as required by the SIGMA project to make standard deviations compatible with Mw (the GMPE was originally developed for Ms). Additional reference: Carbon, D. et al., 2012, Final preliminary Probabilistic Hazard map for France’s southeast 1/4, Deliverable D4-18, p.31, SIGMA project.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

bindi_2011

Module exports BindiEtAl2011.

class openquake.hazardlib.gsim.bindi_2011.BindiEtAl2011(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by D.Bindi, F.Pacor, L.Luzi, R.Puglia, M.Massa, G. Ameri, R. Paolucci and published as “Ground motion prediction equations derived from the Italian strong motion data”, Bull Earthquake Eng, DOI 10.1007/s10518-011-9313-z. SA are given up to 2 s. The regressions are developed considering the geometrical mean of the as-recorded horizontal components

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from SA from Table 1 Coefficients from PGA e PGV from Table 5

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Set of intensity measure types this GSIM can calculate. A set should contain classes from module openquake.hazardlib.imt.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, page 1904

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ‘active shallow crust’ because the equations have been derived from data from Italian database ITACA, as explained in the ‘Introduction’.

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is RRup (eq. 1).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake (eq. 1).

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.bindi_2011.BindiEtAl2011Ita19Low(**kwargs)

Bases: openquake.hazardlib.gsim.bindi_2011.BindiEtAl2011

Implements the lower term of the ITA19 backbone model.

DELTACOEFF = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.bindi_2011.BindiEtAl2011Ita19Upp(**kwargs)

Bases: openquake.hazardlib.gsim.bindi_2011.BindiEtAl2011

Implements the upper term of the ITA19 backbone model.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

bindi_2011_ipe

Module exports : class:BindiEtAl2011Repi, class:BindiEtAl2011RepiFixedH,

class openquake.hazardlib.gsim.bindi_2011_ipe.BindiEtAl2011Repi(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements IPE developed by Dino Bindi et al. 2011 and published as “Intensity prediction equations for Central Asia” (Geo-physical journal international, 2011, 187,327-337).

Model implemented by laurentiu.danciu@gmail.com

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.Table 1 .page 331

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.MMI'>})

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

REQUIRES_DISTANCES = frozenset({'repi'})

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

REQUIRES_SITES_PARAMETERS = frozenset()

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.bindi_2011_ipe.BindiEtAl2011RepiFixedH(**kwargs)

Bases: openquake.hazardlib.gsim.bindi_2011_ipe.BindiEtAl2011Repi

Implements IPE developed by Dino Bindi et al. 2011 and published as “Intensity prediction equations for Central Asia” (Geo-physical journal international, 2011, 187,327-337). for a fixed depth of 15 km and epicentral distance (equation 5 in the paper) Implements the Repi with fixed depth at 15km /coeff on Table 1

Model implmented by laurentiu.danciu@gmail.com

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

REQUIRES_DISTANCES = frozenset({'repi'})

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

REQUIRES_SITES_PARAMETERS = frozenset()

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Extends the Bindietal2011 IPE for Repi without a fixed depth of 15Km

bindi_2011scaled

Module exports BindiEtAl2011scaled.

class openquake.hazardlib.gsim.bindi_2011scaled.BindiEtAl2011scaled(**kwargs)

Bases: openquake.hazardlib.gsim.bindi_2011.BindiEtAl2011

Implements scaled GMPE developed by D.Bindi, F.Pacor, L.Luzi, R.Puglia, M.Massa, G. Ameri, R. Paolucci and published as “Ground motion prediction equations derived from the Italian strong motion data”, Bull Earthquake Eng, DOI 10.1007/s10518-011-9313-z. SA are given up to 2 s. The regressions are developed considering the geometrical mean of the as-recorded horizontal components

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from SA from Table 1 Coefficients from PGA e PGV from Table 5

bindi_2014

Module exports BindiEtAl2014Rjb,

BindiEtAl2014RjbEC8, BindiEtAl2014RjbEC8NoSOF, BindiEtAl2014Rhyp, BindiEtAl2014RhypEC8, BindiEtAl2014RhypEC8NoSOF

class openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014Rhyp(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014Rjb

Implements the Bindi et al (2014) GMPE for the case in which hypocentral distance is preferred, style-of-faulting is specfieid and for which the site amplification is dependent directly on Vs30

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table 4

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is Rhypo (eq. 1).

class openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RhypEC8(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RjbEC8

Implements the Bindi et al (2014) GMPE for the case in which hypocentral distance is preferred, style-of-faulting is specfied and site amplification is characterised according to the Eurocode 8 site class

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table 3

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is Rhypo

class openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RhypEC8NoSOF(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RhypEC8

Implements the Bindi et al. (2014) GMPE for the case in which hypocentral distance is preferred, Eurocode 8 site amplification is used and style-of-faulting is unspecfied.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

class openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014Rjb(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements European GMPE: D.Bindi, M. Massa, L.Luzi, G. Ameri, F. Pacor, R.Puglia and P. Augliera (2014), “Pan-European ground motion prediction equations for the average horizontal component of PGA, PGV and 5 %-damped PSA at spectral periods of up to 3.0 s using the RESORCE dataset”, Bulletin of Earthquake Engineering, 12(1), 391 - 340

The regressions are developed considering the geometrical mean of the as-recorded horizontal components The printed version of the GMPE was corrected by Erratum: D.Bindi, M. Massa, L.Luzi, G. Ameri, F. Pacor, R.Puglia and P. Augliera (2014), “Erratum to Pan-European ground motion prediction equations for the average horizontal component of PGA, PGV and 5 %-damped PSA at spectral periods of up to 3.0 s using the RESORCE dataset”, Bulletin of Earthquake Engineering, 12(1), 431 - 448. The erratum notes that the printed coefficients tables were in error. In this implementation coefficients tables were taken from the Electronic Supplementary material of the original paper, which are indicated as being unaffected.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table 2

CONSTS = {'Mref': 5.5, 'Mh': 6.75, 'Rref': 1.0, 'Vref': 800.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Set of intensity measure types this GSIM can calculate. A set should contain classes from module openquake.hazardlib.imt.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ‘active shallow crust’

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb (eq. 1).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake (eq. 1).

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RjbEC8(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014Rjb

Implements the Bindi et al (2014) GMPE for the case where Joyner-Boore distance is specified but Eurocode 8 Site classification is used.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table 1

class openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RjbEC8NoSOF(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RjbEC8

Implements the Bindi et al (2014) GMPE for the case in which the site amplification is defined according to the Eurocode 8 classification, but style-of-faulting is neglected

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

bindi_2014scaled

Module exports BindiEtAl2014RhypEC8scaled

class openquake.hazardlib.gsim.bindi_2014scaled.BindiEtAl2014RhypEC8scaled(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2014.BindiEtAl2014RhypEC8

Implements scaled European GMPE: D.Bindi, M. Massa, L.Luzi, G. Ameri, F. Pacor, R.Puglia and P. Augliera (2014), “Pan-European ground motion prediction equations for the average horizontal component of PGA, PGV and 5 %-damped PSA at spectral periods of up to 3.0 s using the RESORCE dataset”, Bulletin of Earthquake Engineering, 12(1), 391 - 340

The regressions are developed considering the geometrical mean of the as-recorded horizontal components The printed version of the GMPE was corrected by Erratum: D.Bindi, M. Massa, L.Luzi, G. Ameri, F. Pacor, R.Puglia and P. Augliera (2014), “Erratum to Pan-European ground motion prediction equations for the average horizontal component of PGA, PGV and 5 %-damped PSA at spectral periods of up to 3.0 s using the RESORCE dataset”, Bulletin of Earthquake Engineering, 12(1), 431 - 448. The erratum notes that the printed coefficients tables were in error. In this implementation coefficients tables were taken from the Electronic Supplementary material of the original paper, which are indicated as being unaffected.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients from Table 3

bindi_2017

Module exports BindiEtAl2017Rjb,

BindiEtAl2017Rhypo

class openquake.hazardlib.gsim.bindi_2017.BindiEtAl2017Rhypo(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.bindi_2017.BindiEtAl2017Rjb

Version of the Bindi et al. (2017) GMPE using hypocentral distance.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is Rhypo (eq. 1).

class openquake.hazardlib.gsim.bindi_2017.BindiEtAl2017Rjb(adjustment_factor=1.0, **kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the European GMPE of Bindi et al. (2017) for use in moderate-seismicity regions:

D.Bindi, F. Cotton, S. R. Kotha, C. Bosse, D. Stromeyer and G. Gruenthal (2017) “Application-driven ground motion prediction equation for seismic hazard assessments in non-cratonic moderate-seismicity areas”, J. Seismology, 21(5), 1201 - 1218

Two different GMPEs are supported here

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTANTS = {'mref': 4.5, 'mh': 6.5, 'rref': 1.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

GMPE is defined only for PGA and SA (PGV coefficients not made public)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is ‘stable shallow crust’

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is magnitude

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_stddevs(C, n_sites, stddev_types)

Returns the standard deviations

bommer_2009

Module exports BommerEtAl2009RSD

class openquake.hazardlib.gsim.bommer_2009.BommerEtAl2009RSD(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the GMPE of Bommer et al. (2009) for significant duration with 5 - 75 % Arias Intensity and 5 - 95 % Arias Intensity

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean horizontal component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.RSD575'>, <class 'openquake.hazardlib.imt.RSD595'>})

Supported intensity measure types are 5 - 95 % Arias and 5 - 75 % Arias significant duration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation type is only total, see table 7, page 35

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'ztor'})

Required rupture parameters are magnitude and top of rupture depth

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Requires vs30

get_distance_term(C, rrup, mag)

Returns distance scaling term

get_magnitude_term(C, mag)

Returns linear magnitude scaling term

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_site_amplification(C, vs30)

Returns linear site amplification term

get_stddevs(C, nsites, stddev_types)

Returns the standard deviations

get_ztor_term(C, ztor)

Returns depth to top of rupture scaling

boore_1993

Module exports BooreEtAl1993GSCBest, BooreEtAl1993GSCUpperLimit, BooreEtAl1993GSCLowerLimit.

class openquake.hazardlib.gsim.boore_1993.BooreEtAl1993GSCBest(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implement equation used by the Geological Survey of Canada (GSC) for the 2010 Western Canada National Seismic Hazard Model. The class implements the model of David M. Boore, William B. Joyner, and Thomas E. Fumal (“Estimation of Response Spectra and Peak Accelerations from Western North American Earthquakes: An Interim Report”, 1993, U.S. Geological Survey, Open File Report 93-509). Equation coefficients provided by GSC for the random horizontal component and corresponding to the ‘Best’ case (that is mean unaffected)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

coefficient table provided by GSC

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Random horizontal'

Supported intensity measure component is random horizontal RANDOM_HORIZONTAL,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, given that the equations have been derived for Western North America

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb distance see paragraph ‘Predictor Variables’, page 6.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is magnitude

REQUIRES_SITES_PARAMETERS = frozenset()

site params are not required

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.boore_1993.BooreEtAl1993GSCLowerLimit(**kwargs)

Bases: openquake.hazardlib.gsim.boore_1993.BooreEtAl1993GSCBest

Implement equation used by the Geological Survey of Canada (GSC) for the 2010 Western Canada National Seismic Hazard Model. The class implements the model of David M. Boore, William B. Joyner, and Thomas E. Fumal (“Estimation of Response Spectra and Peak Accelerations from Western North American Earthquakes: An Interim Report”, 1993, U.S. Geological Survey, Open File Report 93-509). Equation coefficients provided by GSC for the random horizontal component and corresponding to the ‘Lower Limit’ case (that is mean value - 0.7 nat log)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

coefficient table provided by GSC

class openquake.hazardlib.gsim.boore_1993.BooreEtAl1993GSCUpperLimit(**kwargs)

Bases: openquake.hazardlib.gsim.boore_1993.BooreEtAl1993GSCBest

Implement equation used by the Geological Survey of Canada (GSC) for the 2010 Western Canada National Seismic Hazard Model. The class implements the model of David M. Boore, William B. Joyner, and Thomas E. Fumal (“Estimation of Response Spectra and Peak Accelerations from Western North American Earthquakes: An Interim Report”, 1993, U.S. Geological Survey, Open File Report 93-509). Equation coefficients provided by GSC for the random horizontal component and corresponding to the ‘Upper Limit’ case (that is mean value + 0.7 nat log)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

coefficient table provided by GSC

boore_1997

Module exports BooreEtAl1997GeometricMean,

:class:’BooreEtAl1997GeometricMeanUnspecified’ :class:’BooreEtAl1997ArbitraryHorizontal’ and :class:’BooreEtAl1997ArbitraryHorizontalUnspecfied’

class openquake.hazardlib.gsim.boore_1997.BooreEtAl1997ArbitraryHorizontal(**kwargs)

Bases: openquake.hazardlib.gsim.boore_1997.BooreEtAl1997GeometricMean

Returns the ground motion values for the arbitrary horizontal component, rather than the geometric mean. This version includes the corrected intra-event terms, as defined in an erratum to the original paper: Boore, DM (2005). “Erratum: Equations for Estimating Horizontal Response Spectra and Peak Acceleration from Western North American Earthquakes: A Summary of Recent Work.” Seismological Research Letters, 76(3), 368-369

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

Supported intensity measure component is the arbitrary horizontal

class openquake.hazardlib.gsim.boore_1997.BooreEtAl1997ArbitraryHorizontalUnspecified(**kwargs)

Bases: openquake.hazardlib.gsim.boore_1997.BooreEtAl1997ArbitraryHorizontal

As for the :class:’BooreEtAl1997Arbitrary’, here defined for the case when the style of faulting is not specified

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

class openquake.hazardlib.gsim.boore_1997.BooreEtAl1997GeometricMean(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by David M. Boore and William B. Joyner and Thomas E. Fumal (1997). “Equations for Estimating Horizontal Response Spectra and Peak Acceleration form Western North American Earthquakes: A Summary of Recent Work”. Seismological Research Letters. 68(1). 128 - 153

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is constructed from values in Table 8 Note that for periods between 0.1 s and 0.18s the inter-event term is originally 0. As this was causing test warnings we have set this to an arbitrarily infinitesimal number

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is geometric mean

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see table 3 pag. 110

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see paragraph ‘Introduction’, page 99.

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude, and rake.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.boore_1997.BooreEtAl1997GeometricMeanUnspecified(**kwargs)

Bases: openquake.hazardlib.gsim.boore_1997.BooreEtAl1997GeometricMean

Where the faulting mechanism need not be specified it is preferable to use this instance of the Boore et al (1997) GMPE, which omits the need for rake to be defined.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

boore_2014

Module exports BooreEtAl2014,

BooreEtAl2014HighQ, BooreEtAl2014LowQ, BooreEtAl2014CaliforniaBasin, BooreEtAl2014HighQCaliforniaBasin, BooreEtAl2014LowQCaliforniaBasin, BooreEtAl2014JapanBasin, BooreEtAl2014HighQJapanBasin, BooreEtAl2014LowQJapanBasin, BooreEtAl2014NoSOF, BooreEtAl2014HighQNoSOF, BooreEtAl2014LowQNoSOF, BooreEtAl2014CaliforniaBasinNoSOF, BooreEtAl2014HighQCaliforniaBasinNoSOF, BooreEtAl2014LowQCaliforniaBasinNoSOF, BooreEtAlJ2014apanBasinNoSOF, BooreEtAl2014HighQJapanBasinNoSOF, BooreEtAl2014LowQJapanBasinNoSOF

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by David M. Boore, Jonathan P. Stewart, Emel Seyhan and Gail Atkinson, and published as “NGA-West2 Equations for Predicting PGA, PGV, nd 5 % Damped PGA for Shallow Crustal Earthquakes (2014, Earthquake Spectra, Volume 30, No. 3, pages 1057 - 1085).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTS = {'Mref': 4.5, 'Rref': 1.0, 'Vref': 760.0, 'f1': 0.0, 'f3': 0.1, 'v1': 225.0, 'v2': 300.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (RotD50)'

Supported intensity measure component is orientation-independent measure RotD50

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see equation 2, pag 106.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude, and rake.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014CaliforniaBasin(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014

Implements the Boore et al. (2014) GMPE under the conditions that the global (average Q) attenuation model is preferred and the basin model is considered to be represented by the “California” case

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014CaliforniaBasinNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014NoSOF

The Boore et al. (2014) GMPE, implemented for global (average Q) regions, for the case when style of faulting is unspecficied and the California basin depth model is required

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQ(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014

This class implements the Boore et al. (2014) model considering the correction to the path scaling term for High Q regions (e.g. China and Turkey) The modification is made to the “Dc3” coefficient

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQCaliforniaBasin(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQ

Implements the Boore et al. (2014) GMPE under the conditions that the high Q attenuation model is preferred and the basin model is considered to be represented by the “California” case

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQCaliforniaBasinNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQNoSOF

The Boore et al. (2014) GMPE, implemented for high Q regions, for the case when style of faulting is unspecficied and the California basin depth model is required

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQJapanBasin(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQ

Implements the Boore et al. (2014) GMPE under the conditions that the high Q attenuation model is preferred and the basin model is considered to be represented by the “Japan” case

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQJapanBasinNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQNoSOF

The Boore et al. (2014) GMPE, implemented for high Q regions, for the case when style of faulting is unspecficied and the California basin depth model is required

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014HighQ

The Boore et al. (2014) GMPE, implemented for the High Q regions, for the case in which the style-of-faulting is unspecified.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014JapanBasin(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014

Implements the Boore et al. (2014) GMPE under the conditions that the global (average Q) attenuation model is preferred and the basin model is considered to be represented by the “Japan” case

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014JapanBasinNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014NoSOF

The Boore et al. (2014) GMPE, implemented for global (average Q) regions, for the case when style of faulting is unspecficied and the California basin depth model is required

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQ(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014

This class implements the Boore et al. (2014) model considering the correction to the path scaling term for Low Q regions (e.g. Italy and Japan) The modification is made to the “Dc3” coefficient

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQCaliforniaBasin(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQ

Implements the Boore et al. (2014) GMPE under the conditions that the high Q attenuation model is preferred and the basin model is considered to be represented by the “California” case

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQCaliforniaBasinNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQNoSOF

The Boore et al. (2014) GMPE, implemented for high Q regions, for the case when style of faulting is unspecficied and the California basin depth model is required

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQJapanBasin(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQ

Implements the Boore et al. (2014) GMPE under the conditions that the low Q attenuation model is preferred and the basin model is considered to be represented by the “Japan” case

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQJapanBasinNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQNoSOF

The Boore et al. (2014) GMPE, implemented for high Q regions, for the case when style of faulting is unspecficied and the California basin depth model is required

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'vs30'})

Required site parameters are Vs30 and depth (in metres!) to 1 km/s shear-wave velocity layer

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQNoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014LowQ

The Boore et al. (2014) GMPE, implemented for the Low Q regions, for the case in which the style-of-faulting is unspecified.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

class openquake.hazardlib.gsim.boore_2014.BooreEtAl2014NoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.boore_2014.BooreEtAl2014

The Boore et al. (2014) GMPE can consider the case in which the style-of-faulting is unspecified. In this case the GMPE is no longer dependent on rake.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

openquake.hazardlib.gsim.boore_2014.california_basin_model(vs30)

Returns the centred z1.0 (mu_z1) based on the California model (equation 11)

openquake.hazardlib.gsim.boore_2014.japan_basin_model(vs30)

Returns the centred z1.0 (mu_z1) based on the Japan model (equation 12)

boore_atkinson_2008

Module exports BooreAtkinson2008.

class openquake.hazardlib.gsim.boore_atkinson_2008.Atkinson2010Hawaii(**kwargs)

Bases: openquake.hazardlib.gsim.boore_atkinson_2008.BooreAtkinson2008

Modification of the original base class adjusted for application to the Hawaii region as described in: Atkinson, G. M. (2010) ‘Ground-Motion Prediction Equations for Hawaii from a Referenced Empirical Approach”, Bulletin of the Seismological Society of America, Vol. 100, No. 2, pp. 751–761

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Square root of sum of squares of peak horizontals'

Supported intensity measure component is geometric mean, see paragraph ‘Response Variables’, page 100 and table 8, pag 121.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation types is total see equation 2, pag 106.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Volcanic'

Supported tectonic region type is active volcanic, see paragraph ‘Introduction’, page 99.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth', 'rake'})

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

Using a frequency dependent correction for the mean ground motion. Standard deviation is fixed.

class openquake.hazardlib.gsim.boore_atkinson_2008.BooreAtkinson2008(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by David M. Boore and Gail M. Atkinson and published as “Ground-Motion Prediction Equations for the Average Horizontal Component of PGA, PGV, and 5%-Damped PSA at Spectral Periods between 0.01 and 10.0 s” (2008, Earthquake Spectra, Volume 24, No. 1, pages 99-138).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is constructed from values in tables 6, 7 and 8 (pages 119, 120, 121). Spectral acceleration is defined for damping of 5%, see ‘Response Variables’ page 100. c1, c2, c3, h are the period-dependent distance scaling coefficients. e1, e2, e3, e4, e5, e6, e7, Mh are the period-dependent magnitude- sigma, tau, std are the intra-event uncertainty, inter-event uncertainty, and total standard deviation, respectively. Note that only the inter-event and total standard deviation for ‘specified’ fault type are considered (because rake angle is always specified)

COEFFS_SOIL_RESPONSE = <openquake.hazardlib.gsim.base.CoeffsTable object>

Table 3, pag. 110. + coefficient values for additional frequencies extracted from Fortran code implementing soil response function developed by the original author (ab06_fmrvs_evaluate_gmpes.for available at http://www.daveboore.com/pubs_online.html - see code available for Atkinson, G. M. and D. M. Boore (2006). Earthquake ground -motion prediction equations for eastern North America)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (GMRotI50)'

Supported intensity measure component is orientation-independent measure GMRotI50, see paragraph ‘Response Variables’, page 100 and table 8, pag 121.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see table 3 pag. 110

DEFINED_FOR_REFERENCE_VELOCITY = 760.0

Shear-wave velocity for reference soil conditions in [m s-1]

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see equation 2, pag 106.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see paragraph ‘Introduction’, page 99.

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is Rjb. See paragraph ‘Predictor Variables’, pag 103

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude, and rake. See paragraph ‘Predictor Variables’, pag 103

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters is Vs30. See paragraph ‘Predictor Variables’, pag 103

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

boore_atkinson_2011

Module exports BooreAtkinson2011,

Atkinson2008prime

class openquake.hazardlib.gsim.boore_atkinson_2011.Atkinson2008prime(**kwargs)

Bases: openquake.hazardlib.gsim.boore_atkinson_2011.BooreAtkinson2011

Implements the Boore & Atkinson (2011) adjustment to the Atkinson (2008) GMPE (not itself implemented in OpenQuake)

A08_COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.boore_atkinson_2011.BooreAtkinson2011(**kwargs)

Bases: openquake.hazardlib.gsim.boore_atkinson_2008.BooreAtkinson2008

Implements GMPE based on the corrections proposed by Gail M. Atkinson and D. Boore in 2011 and published as “Modifications to Existing Ground-Motion Prediction Equations in Light of New Data ” (2011, Bulletin of the Seismological Society of America, Volume 101, No. 3, pages 1121-1135).

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

bozorgnia_campbell_2016

Module exports BozorgniaCampbell2016

BozorgniaCampbell2016HighQ BozorgniaCampbell2016LowQ BozorgniaCampbell2016AveQJapanSite BozorgniaCampbell2016HighQJapanSite BozorgniaCampbell2016LowQJapanSite

class openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the BC15 GMPE by Bozorgnia & Campbell (2016) for vertical-component ground motions from the PEER NGA-West2 Project

This model follows the same functional form as in CB14 by Campbell & Bozorgnia (2014) with minor modifications to the underlying parameters.

Note that this is a more updated version than the GMPE described in the original PEER Report 2013/24.

Reference:

Bozorgnia, Y. & Campbell, K. (2016). Vertical Ground Motion Model for PGA, PGV, and Linear Response Spectra Using the NGA-West2 Database. Earthquake Spectra, 32(2), 979-1004.

Implements the global model that uses datasets from California, Taiwan, the Middle East, and other similar active tectonic regions to represent a typical or average Q region.

Applies the average attenuation case (Dc20=0)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Table of regression coefficients obtained from supplementary material published together with the EQS paper

CONSTS = {'h4': 1.0, 'SJ': 0}

Equation constants (that are IMT-independent) for global model

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Vertical'

Supported intensity measure component is the Vertical direction component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total; see the section for “Aleatory Variability Model”.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'rjb'})

Required distance measures are Rrup, Rjb and Rx

REQUIRES_RUPTURE_PARAMETERS = frozenset({'dip', 'ztor', 'width', 'rake', 'hypo_depth', 'mag'})

Required rupture parameters are magnitude, rake, dip, ztor, rupture width and hypocentral depth

REQUIRES_SITES_PARAMETERS = frozenset({'z2pt5', 'vs30'})

Required site parameters are Vs30, Vs30 type (measured or inferred), and depth (km) to the 2.5 km/s shear wave velocity layer (z2pt5)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_mean_values(C, sites, rup, dists)

Returns the mean values for a specific IMT

class openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016AveQJapanSite(**kwargs)

Bases: openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016

Implements the BC15 GMPE by Bozorgnia & Campbell (2016) for vertical-component ground motions from the PEER NGA-West2 Project

Incorporates the difference in linear Vs30 scaling for sites in Japan by activating the flag variable in shallow site reponse scaling

Applies the average attenuation case (Dc20=0)

CONSTS = {'h4': 1.0, 'SJ': 1}

Equation constants (that are IMT-independent) for Japan sites

class openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016HighQ(**kwargs)

Bases: openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016

Implements the BC15 GMPE by Bozorgnia & Campbell (2016) for vertical-component ground motions from the PEER NGA-West2 Project

Applies regional corrections in path scaling term for regions with low attenuation (high quality factor, Q) (e.g. eastern China)

class openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016HighQJapanSite(**kwargs)

Bases: openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016AveQJapanSite

Implements the BC15 GMPE by Bozorgnia & Campbell (2016) for vertical-component ground motions from the PEER NGA-West2 Project

Incorporates the difference in linear Vs30 scaling for sites in Japan by activating the flag variable in shallow site reponse scaling

Applies regional corrections in path scaling term for regions with low attenuation (high quality factor, Q)

class openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016LowQ(**kwargs)

Bases: openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016

Implements the BC15 GMPE by Bozorgnia & Campbell (2016) for vertical-component ground motions from the PEER NGA-West2 Project

Applies regional corrections in path scaling term for regions with high attenuation (low quality factor, Q) (e.g. Japan and Italy)

class openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016LowQJapanSite(**kwargs)

Bases: openquake.hazardlib.gsim.bozorgnia_campbell_2016.BozorgniaCampbell2016AveQJapanSite

Implements the BC15 GMPE by Bozorgnia & Campbell (2016) for vertical-component ground motions from the PEER NGA-West2 Project

Incorporates the difference in linear Vs30 scaling for sites in Japan by activating the flag variable in shallow site reponse scaling

Applies regional corrections in path scaling term for regions with high attenuation (low quality factor, Q)

bradley_2013

Module exports Bradley2013, Bradley2013Volc.

class openquake.hazardlib.gsim.bradley_2013.Bradley2013(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Brendan Bradley for Active Shallow Crust Earthquakes for New Zealand, and published as “A New Zealand-Specific Pseudospectral Acceleration Ground-Motion Prediction Equation for Active Shallow Crustal Earthquakes Based on Foreign Models” (2013, Bulletin of the Seismological Society of America, Volume 103, No. 3, pages 1801-1822).

This model is modified from Chiou and Youngs, 2008 and has been adapted for New Zealand conditions. Specifically, the modifications are related to: 1) small magnitude scaling; 2) scaling of short period ground motion from normal faulting events in volcanic crust; 3) scaling of ground motions on very hard rock sites; 4) anelastic attenuation in the New Zealand crust; 5) consideration of the increates anelastic attenuation in the Taupo Volcanic Zone (not implemented in this model, use Bradley2013Volc)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from values in tables 1, 2 and 3 (pages 197, 198 and 199) in Chiou & Youngs,2008. Only Coefficients c1, c1b, c3, cm, c8, cg1, cg2, ctvz are modified by Bradley 2013. Spectral acceleration is defined for damping of 5%, see page 208 (CY08).

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is geometric mean of two horizontal components attr:~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL, see abstract page 1801.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration. Note that PGV is the Chiou & Youngs PGV and has not been modified for New Zealand.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see chapter “Variance model”.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see page 1801

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'rjb'})

Required distance measures are RRup, Rjb and Rx (all are in eq. 13a).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'dip', 'ztor', 'mag'})

Required rupture parameters are magnitude, rake (eq. 13a and 13b), dip (eq. 13a) and ztor (eq. 13a).

REQUIRES_SITES_PARAMETERS = frozenset({'vs30measured', 'z1pt0', 'vs30'})

Required site parameters are Vs30 (eq. 13b), Vs30 measured flag (eq. 20) and Z1.0 (eq. 13b).

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.bradley_2013.Bradley2013LHC(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013.Bradley2013

Extend Bradley2013 to provide the model in terms of the larger of two as-recorded horizontal components. This definition is required by New Zealand building design standards.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Greater of two horizontal'

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

This implementation is non-verified because this version of the model has not been published, nor is independent code available.

class openquake.hazardlib.gsim.bradley_2013.Bradley2013Volc(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013.Bradley2013

Extend Bradley2013 for earthquakes with paths across the Taupo Volcanic Zone (rtvz) that have increased anelastic attenuation.

Implements GMPE developed by Brendan Bradley for Active Shallow Crust Earthquakes for New Zealand, and published as “A New Zealand-Specific Pseudospectral Acceleration Ground-Motion Prediction Equation for Active Shallow Crustal Earthquakes Based on Foreign Models” (2013, Bulletin of the Seismological Society of America, Volume 103, No. 3, pages 1801-1822).

This model is modified from Chiou and Youngs, 2008 and has been adapted for New Zealand conditions. Specifically, the modifications are related to: 1) small magnitude scaling; 2) scaling of short period ground motion from normal faulting events in volcanic crust; 3) scaling of ground motions on very hard rock sites; 4) anelastic attenuation in the New Zealand crust; 5) consideration of the increates anelastic attenuation in the Taupo Volcanic Zone (rtvz is equal to rrup)

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Volcanic'

class openquake.hazardlib.gsim.bradley_2013.Bradley2013VolcLHC(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013.Bradley2013LHC

Extend Bradley2013LHC for earthquakes with paths across the Taupo Volcanic Zone (rtvz) that have increased anelastic attenuation.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Volcanic'

openquake.hazardlib.gsim.bradley_2013.convert_to_LHC(imt)

Converts from GMRotI50 to Larger of two horizontal components using global equation of: Boore, D and Kishida, T (2016). Relations between some horizontal- component ground-motion intensity measures used in practice. Bulletin of the Seismological Society of America, 107(1), 334-343. doi:10.1785/0120160250 No standard deviation modification required.

bradley_2013b

Module exports Bradley2013ChchCBD, Bradley2013ChchWest, Bradley2013ChchEast, Bradley2013ChchNorth, Bradley2013ChchCBDAdditionalSigma, Bradley2013ChchWestAdditionalSigma, Bradley2013ChchEastAdditionalSigma, Bradley2013ChchNorthAdditionalSigma. Bradley2013ChchMaps. Bradley2013ChchMapsAdditionalSigma.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013AdditionalSigma(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013.Bradley2013LHC

Extend Bradley2013LHC to implement the ‘additional epistemic uncertainty’ version of the model in: Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. 2014. “Seismic hazard modelling for the recovery of Christchurch”, Earthquake Spectra, 30(1), 17-29.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBD(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013.Bradley2013LHC

Implements GMPE developed by Brendon Bradley for Christchurch subregions, and published as: Bradley, B. (2013). “Systematic ground motion observations in the Canterbury earthquakes and region-specific nonergodic empirical ground motion modelling”” (2013), University of Canterbury Research Report 2013-03, Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand.”

This model was also published as: Bradley, B. (2015). Systematic Ground Motion Observations in the Canterbury Earthquakes And Region-Specific Non-Ergodic Empirical Ground Motion Modeling. Earthquake Spectra: August 2015, Vol. 31, No. 3, pp. 1735-1761. but this implementation has been developed from the information in the 2013 report.

The original code by the author could not be made available at the time of development of this code. For this reason, this implementation is untested and marked as non_verified.

It appears from the model documentation that the dL2L and dS2S terms are relative to a baseline Vs30 value of 250 m/s and a baseline Z1 value of 330 m, although this is unconfirmed.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBDAdditionalSigma(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBD

Extend Bradley2013ChchCBD to implement the ‘additional epistemic uncertainty’ version of the model in: Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. 2014. “Seismic hazard modelling for the recovery of Christchurch”, Earthquake Spectra, 30(1), 17-29.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchEast(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBD

Extend Bradley2013bChchCBD to implement the ‘eastern suburbs’ dS2S model.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchEastAdditionalSigma(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchEast

Extend Bradley2013ChchEast to implement the ‘additional epistemic uncertainty’ version of the model in: Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. 2014. “Seismic hazard modelling for the recovery of Christchurch”, Earthquake Spectra, 30(1), 17-29.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchMaps(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBD

Implements GMPE developed by Brendon Bradley for Christchurch subregions, and published as “”Systematic ground motion observations in the Canterbury earthquakes and region-specific nonergodic empirical ground motion modelling”” (2013), University of Canterbury Research Report 2013-03, Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand.

The original code by the author was not made available at the time of development of this code. For this reason, this implementation is untested.

It appears from the model documentation that the CBD dL2L and dS2S are relative to a baseline Vs30 value of 250 m/s and a baseline Z1 value of 330 m, although this is unconfirmed.

Only the CBD subregion dS2S term is implemented here, because of difficulties defining the boundaries of other subregions. Full details behind the choices here are detailed in: Van Houtte and Abbott (2019), “Implementation of the GNS Canterbury Seismic Hazard Model in the OpenQuake Engine”, Lower Hutt (NZ): GNS Science. 38 p. (GNS Science report; 2019/11). doi:10.21420/1AEM-PZ85.

REQUIRES_SITES_PARAMETERS = frozenset({'z1pt0', 'lat', 'lon', 'vs30', 'vs30measured'})

Required site parameters are Vs30 (eq. 13b), Vs30 measured flag (eq. 20) and Z1.0 (eq. 13b), longitude and latitude.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

This implementation is non-verified because the author of the model does not have code that can be made available.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchMapsAdditionalSigma(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchMaps

Extend Bradley2013ChchNorth to implement the ‘additional epistemic uncertainty’ version of the model in: Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. 2014. “Seismic hazard modelling for the recovery of Christchurch”, Earthquake Spectra, 30(1), 17-29.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchNorth(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBD

Extend Bradley2013bChchCBD to implement the ‘northern suburbs’ dS2S model.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchNorthAdditionalSigma(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchNorth

Extend Bradley2013ChchNorth to implement the ‘additional epistemic uncertainty’ version of the model in: Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. 2014. “Seismic hazard modelling for the recovery of Christchurch”, Earthquake Spectra, 30(1), 17-29.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchWest(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchCBD

Extend Bradley2013bChchCBD to implement the ‘extended western suburbs’ dS2S model.

class openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchWestAdditionalSigma(**kwargs)

Bases: openquake.hazardlib.gsim.bradley_2013b.Bradley2013bChchWest

Extend Bradley2013ChchWest to implement the ‘additional epistemic uncertainty’ version of the model in: Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. 2014. “Seismic hazard modelling for the recovery of Christchurch”, Earthquake Spectra, 30(1), 17-29.

campbell_1997

Module exports Campbell1997

class openquake.hazardlib.gsim.campbell_1997.Campbell1997(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE (PGA) by Campbell, Kenneth W. “Empirical near-source attenuation relationships for horizontal and vertical components of peak ground acceleration, peak ground velocity, and pseudo-absolute acceleration response spectra.” Seismological research letters 68.1 (1997): 154-179.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the horizontal component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are PGA, PGV, PSA, but we only define PGA because this is the only IMT used by an implemented model (09/18)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is only total, see equation 4, pg 164

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported TRT active…we specify active_shallow_crust

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture. In the publication, Rseis is used. We assume Rrup=Rseis, justified by our calculations matching the verification tables

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude and top of rupture depth

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Requires vs30

get_Shr_term(vs30)

Returns site term for hard rock (pg 157)

get_Ssr_term(vs30)

Returns site term for soft rock (pg 157)

get_fault_term(rake)

Returns coefficient for faulting style (pg 156)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_stddevs(mean, stddev_types)

Returns the standard deviations from mean (pg 164; more robust than estimate using magnitude)

campbell_2003

Module exports Campbell2003, Campbell2003SHARE, Campbell2003MblgAB1987NSHMP2008, Campbell2003MblgJ1996NSHMP2008, Campbell2003MwNSHMP2008

class openquake.hazardlib.gsim.campbell_2003.Campbell2003(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by K.W Campbell and published as “Prediction of Strong Ground Motion Using the Hybrid Empirical Method and Its Use in the Development of Ground Motion (Attenuation) Relations in Eastern North America” (Bulletting of the Seismological Society of America, Volume 93, Number 3, pages 1012-1033, 2003). The class implements also the corrections given in the erratum (2004).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components AVERAGE_HORIZONTAL,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration, see table 6, page 1022 (PGA is assumed to be equal to SA at 0.01 s)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is only total, see equation 35, page 1021

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is stable continental crust given that the equations have been derived for Eastern North America.

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is only magnitude, see equation 30 page 1021.

REQUIRES_SITES_PARAMETERS = frozenset()

No site parameters are needed

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.campbell_2003.Campbell2003MblgAB1987NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_2003.Campbell2003

Implement GMPE developed by Ken Campbell and described in “Development of semi-empirical attenuation relationships for the CEUS”, U.S. Geological Survey, Award 01HQGR0011, final report.

Document available at: http://earthquake.usgs.gov/research/external/reports/01HQGR0011.pdf

This GMPE is used by the National Seismic Hazard Mapping Project (NSHMP) for the 2008 central and eastern US hazard model.

This class replicates the algorithm as implemented in subroutine getCampCEUS in the hazgridXnga2.f Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/

The class assumes rupture magnitude to be in Mblg scale (given that MFDs for central and eastern US are given in this scale). Mblg is converted to Mw using Atkinson and Boore 1987 conversion equation

Coefficients are given for the B/C (firm rock) conditions.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables extracted from subroutine getCampCEUS in hazgridXnga2.f

DEFINED_FOR_REFERENCE_VELOCITY = 760.0

Shear-wave velocity for reference soil conditions in [m s-1]

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.campbell_2003.Campbell2003MblgJ1996NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_2003.Campbell2003MblgAB1987NSHMP2008

Extend Campbell2003MblgAB1987NSHMP2008 but uses Johnston 1996 equation for converting Mblg to Mw

class openquake.hazardlib.gsim.campbell_2003.Campbell2003MwNSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_2003.Campbell2003MblgAB1987NSHMP2008

Extend Campbell2003MblgAB1987NSHMP2008 but assumes magnitude to be in Mw scale, so no converion is applied.

class openquake.hazardlib.gsim.campbell_2003.Campbell2003SHARE(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_2003.Campbell2003

Extends Campbell2003 and introduces adjustments for style of faulting and default rock soil conditions as needed by the SHARE (http://www.share-eu.org/) project.

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficients for faulting style and rock adjustment

CONSTS_FS = {'Fnss': 0.95, 'pN': 0.01, 'pR': 0.81}

Constants for faulting style adjustment

DEFINED_FOR_REFERENCE_VELOCITY = 800.0

Shear-wave velocity for reference soil conditions in [m s-1]

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters are magnitude and rake

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

campbell_bozorgnia_2003

Module exports CampbellBozorgnia2003NSHMP2007.

class openquake.hazardlib.gsim.campbell_bozorgnia_2003.CampbellBozorgnia2003NSHMP2007(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Kenneth W. Campbell and Yousef Bozorgnia and published as “Updated Near-Source Ground-Motion (Attenuation) Relations for the Horizontal and Vertical Components of Peak Ground Acceleration and Acceleration Responce Spectra”, Bulletin of the Seismological Society of America, Vol. 93, No. 1, pp. 314-331, 2003.

The class implement the equation as modified by the United States Geological Survey - National Seismic Hazard Mapping Project (USGS-NSHMP) for the 2007 Alaska model (http://earthquake.usgs.gov/hazards/products/ak/2007/).

The class replicates the equation as coded in subroutine getCamp2000 in hazFXv7.f available from http://earthquake.usgs.gov/hazards/products/ak/2007/software/.

The equation compute mean value for the ‘firm rock’ conditon.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table (table 4, page 321. Coefficients for horizontal component and for corrected PGA)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components (see paragraph ‘Strong-Motion Database’, page 316)

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are PGA and SA (see Abstract)

DEFINED_FOR_REFERENCE_VELOCITY = 760.0

No sites parameters are required. Mean value is computed for ‘firm rock’.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is Total (see equations 11, 12 pp. 319 320)

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ‘active shallow crust’ (see Abstract)

REQUIRES_DISTANCES = frozenset({'rrup', 'rjb'})

Required distance measure are RRup and Rjb (eq. 1 and following, page 319).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'dip', 'rake'})

Required rupture parameters are magnitude, rake and dip (eq. 1 and following, page 319).

REQUIRES_SITES_PARAMETERS = frozenset()

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

campbell_bozorgnia_2008

Module exports CampbellBozorgnia2008, and :class:’CampbellBozorgnia2008Arbitrary’

class openquake.hazardlib.gsim.campbell_bozorgnia_2008.CampbellBozorgnia2008(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Kenneth W. Campbell and Yousef Bozorgnia, published as “NGA Ground Motion Model for the Geometric Mean Horizontal Component of PGA, PGV, PGD and 5 % Damped Linear Elastic Response Spectra for Periods Ranging from 0.01 to 10s” (2008, Earthquake Spectra, Volume 24, Number 1, pages 139 - 171). This class implements the model for the Geometric Mean of the elastic spectra. Included in the coefficient set are the coefficients for the Campbell & Bozorgnia (2010) GMPE for predicting Cumulative Absolute Velocity (CAV), published as “A Ground Motion Prediction Equation for the Horizontal Component of Cumulative Absolute Velocity (CSV) Based on the PEER-NGA Strong Motion Database” (2010, Earthquake Spectra, Volume 26, Number 3, 635 - 650).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (GMRotI50)'

Supported intensity measure component is orientation-independent average horizontal GMRotI50

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>, <class 'openquake.hazardlib.imt.PGD'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.CAV'>})

Supported intensity measure types are spectral acceleration, peak ground velocity, peak ground displacement and peak ground acceleration Additional model for cumulative absolute velocity defined in Campbell & Bozorgnia (2010)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see section “Aleatory Uncertainty Model”, page 147.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rrup', 'rjb'})

Required distance measures are Rrup and Rjb.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'dip', 'ztor', 'rake'})

Required rupture parameters are magnitude, rake, dip, ztor

REQUIRES_SITES_PARAMETERS = frozenset({'z2pt5', 'vs30'})

Required site parameters are Vs30, Vs30 type (measured or inferred), and depth (km) to the 2.5 km/s shear wave velocity layer (z2pt5)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.campbell_bozorgnia_2008.CampbellBozorgnia2008Arbitrary(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_bozorgnia_2008.CampbellBozorgnia2008

Implements the Campbell & Bozorgnia (2008) GMPE as modified to represent the arbitrary horizontal component of ground motion, instead of the Rotationally Independent Geometric Mean (GMRotI) originally defined in the paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

Supported intensity measure component is arbitrary horizontal HORIZONTAL,

campbell_bozorgnia_2014

Module exports CampbellBozorgnia2014

CampbellBozorgnia2014HighQ CampbellBozorgnia2014LowQ CampbellBozorgnia2014JapanSite CampbellBozorgnia2014HighQJapanSite CampbellBozorgnia2014LowQJapanSite

class openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements NGA-West 2 GMPE developed by Kenneth W. Campbell and Yousef Bozorgnia, published as “NGA-West2 Ground Motion Model for the Average Horizontal Components of PGA, PGV, and 5 % Damped Linear Acceleration Response Spectra” (2014, Earthquake Spectra, Volume 30, Number 3, pages 1087 - 1115).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTS = {'c8': 0.0, 'h4': 1.0, 'c': 1.88, 'n': 1.18, 'philnAF': 0.3, 'SJ': 0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (RotD50)'

Supported intensity measure component is orientation-independent average horizontal GMRotI50

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see section “Aleatory Variability Model”, page 1094.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'rjb'})

Required distance measures are Rrup, Rjb and Rx

REQUIRES_RUPTURE_PARAMETERS = frozenset({'dip', 'ztor', 'width', 'rake', 'hypo_depth', 'mag'})

Required rupture parameters are magnitude, rake, dip, ztor, rupture width and hypocentral depth

REQUIRES_SITES_PARAMETERS = frozenset({'z2pt5', 'vs30'})

Required site parameters are Vs30, Vs30 type (measured or inferred), and depth (km) to the 2.5 km/s shear wave velocity layer (z2pt5)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_mean_values(C, sites, rup, dists, a1100)

Returns the mean values for a specific IMT

class openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014HighQ(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014

Implements the Campbell & Bozorgnia (2014) NGA-West2 GMPE for regions with low attenuation (high quality factor, Q) (i.e. China, Turkey)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014HighQJapanSite(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014HighQ

Implements the Campbell & Bozorgnia (2014) NGA-West2 GMPE, for the low attenuation (high quality factor) coefficients, for the case in which the “Japan” shallow site response term is activited

CONSTS = {'c8': 0.0, 'h4': 1.0, 'c': 1.88, 'n': 1.18, 'philnAF': 0.3, 'SJ': 1}

class openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014JapanSite(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014

Implements the Campbell & Bozorgnia (2014) NGA-West2 GMPE for the case in which the “Japan” shallow site response term is activited

CONSTS = {'c8': 0.0, 'h4': 1.0, 'c': 1.88, 'n': 1.18, 'philnAF': 0.3, 'SJ': 1}

class openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014LowQ(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014

Implements the Campbell & Bozorgnia (2014) NGA-West2 GMPE for regions with high attenuation (low quality factor, Q) (i.e. Japan, Italy)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014LowQJapanSite(**kwargs)

Bases: openquake.hazardlib.gsim.campbell_bozorgnia_2014.CampbellBozorgnia2014LowQ

Implements the Campbell & Bozorgnia (2014) NGA-West2 GMPE, for the high attenuation (low quality factor) coefficients, for the case in which the “Japan” shallow site response term is activited

CONSTS = {'c8': 0.0, 'h4': 1.0, 'c': 1.88, 'n': 1.18, 'philnAF': 0.3, 'SJ': 1}

cauzzi_2014

Module exports CauzziEtAl2014,

CauzziEtAl2014NoSOF, CauzziEtAl2014FixedVs30, CauzziEtAl2014FixedVs30NoSOF, CauzziEtAl2014Eurocode8, CauzziEtAl2014Eurocode8NoSOF,

class openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Carlo Cauzzi et al (2014) and published as C.Cauzzi, E. Faccioli, M. Vanini and A. Bianchini (2014) “Updated predictive equations for broadband (0.0 - 10.0 s) horizontal response spectra and peak ground motions, based on a global dataset of digital acceleration records”, Bulletin of Earthquake Engineering, In Press

Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula

SA = DSR * (2 * π / T) ** 2

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components AVERAGE_HORIZONTAL,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground acceleration and peak ground velocity. The original paper provides coefficients for PGA and PGV, while SA is obtained from displacement response spectrum values. Coefficients for PGA are taken from the SA (0.01 s) spectral acceleration, as indicated in Page 11 (at the time of writing) of Cauzzi et al. (2014)

DEFINED_FOR_REFERENCE_VELOCITY = 800.0

The reference rock conditions. The definition of this parameter is unclear in the paper so we assume a value of 800 m/s

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust,

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is Rrup,

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014Eurocode8(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014

Implmements the Cauzzi et al. (2014) GMPE for the case in which the Eurocode 8 site classification is preferred

class openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014Eurocode8NoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014NoSOF

Implmements the Cauzzi et al. (2014) GMPE for the case in which the Eurocode 8 site classification is preferred and style of faulting is not specified.

class openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014FixedVs30(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014

Implements the Cauzzi et al (2014) model for the case in which the reference Vs30 in the site amplification term is fixed at 800 m/s

class openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014FixedVs30NoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014NoSOF

Implements the Cauzzi et al (2014) model for the case in which the reference Vs30 in the site amplification term is fixed at 800 m/s

class openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014NoSOF(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014

Returns the Cauzzi et al (GMPE) for the case when no style-of-faulting is input. This modifies both the expected ground motion as well as the inter-event (and thus total) standard deviations.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

cauzzi_2014scaled

Module exports CauzziEtAl2014Eurocode8scaled,

class openquake.hazardlib.gsim.cauzzi_2014scaled.CauzziEtAl2014Eurocode8scaled(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_2014.CauzziEtAl2014Eurocode8

Implements GMPE developed by Carlo Cauzzi et al (2014) and published as C.Cauzzi, E. Faccioli, M. Vanini and A. Bianchini (2014) “Updated predictive equations for broadband (0.0 - 10.0 s) horizontal response spectra and peak ground motions, based on a global dataset of digital acceleration records”, Bulletin of Earthquake Engineering, In Press

Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula

SA = DSR * (2 * π / T) ** 2

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

cauzzi_faccioli_2008

Module exports CauzziFaccioli2008.

class openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Carlo Cauzzi and Ezio Faccioli and published as “Broadband (0.05 to 20s) prediction of displacement response spectra based on worldwide digital records” (Journal of Seismology, 2008, volume 12, pages 453-475). This class implements the prediction equations for horizontal peak ground acceleration, peak ground velocity and 5%-damped spectral acceleration (equation 2, page 462, plus faulting style term as given in equation 5, page 465). Coefficients for PGV are not present in the original paper but were developed for the SHARE (http://www.share-eu.org/) project. Hypocentral distances are clipped at 15 km (as for Faccioli’s personal communication). Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula

SA = DSR * (2 * π / T) ** 2

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components AVERAGE_HORIZONTAL, see paragraph ‘On functional forms’, page 462.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground acceleration and peak ground velocity. The original paper provides coefficients for PGA and PGV, while SA is obtained from displacement response spectrum values.

DEFINED_FOR_REFERENCE_VELOCITY = 1000.0

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is only total, see paragraph ‘On functional forms’, page 462.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see end of ‘Introduction’, page 454.

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is Rhypo, see paragraph ‘Distance’, page 456.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'mag'})

Required rupture parameters are magnitude and rake, see paragraph ‘On functional forms’, page 463

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30 (used to distinguish rock and deep soils), see paragraph ‘On functional forms’, page 463.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

cauzzi_faccioli_2008_swiss

Module exports CauzziFaccioli2008SWISS01

CauzziFaccioli2008SWISS04 CauzziFaccioli2008SWISS08.

class openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS01(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008

This class extends openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008 adjusted to be used for the Swiss Hazard Model [2014]. This GMPE is valid for a fixed value of vs30=700m/s

#. kappa value K-adjustments corresponding to model 01 - as prepared by Ben Edwards K-value for PGA were not provided but infered from SA[0.01s] the model considers a fixed value of vs30=700 to match the reference vs30=1100m/s

1. small-magnitude correction
2. single station sigma - inter-event magnitude/distance adjustment

Disclaimer: these equations are modified to be used for the Swiss Seismic Hazard Model [2014].

The use of these models is the soly responsability of the hazard modeler.

Model implemented by laurentiu.danciu@gmail.com

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground acceleration and peak ground velocity. The original paper provides coefficients for PGA and PGV, while SA is obtained from displacement response spectrum values.

DEFINED_FOR_REFERENCE_VELOCITY = 1105.0

Vs30 value representing typical rock conditions in Switzerland. confirmed by the Swiss GMPE group

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is only total

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS04(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS01

This class extends openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008, following same strategy as for openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS01

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS08(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS01

This class extends openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008, following same strategy as for openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss.CauzziFaccioli2008SWISS01

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

cauzzi_faccioli_2008_swiss_coeffs

openquake.hazardlib.gsim.cauzzi_faccioli_2008_swiss_coeffs.COEFFS_FS_ROCK_SWISS01 = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

chao_2020

Module exports ChaoEtAl2020SInter

ChaoEtAl2020SSlab ChaoEtAl2020Asc

class openquake.hazardlib.gsim.chao_2020.ChaoEtAl2020Asc(manila=False, aftershocks=False, geology=True, **kwargs)

Bases: openquake.hazardlib.gsim.chao_2020.ChaoEtAl2020SInter

Chao et al. (2020) for Crustal.

CONST_FAULT = {'href': 0}

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

MC = 7.6

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'ztor', 'rake'})

SBCR = '_cr'

SUFFIX = '_cr'

class openquake.hazardlib.gsim.chao_2020.ChaoEtAl2020SInter(manila=False, aftershocks=False, geology=True, **kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Chao et al. (2020) for Subduction Interface.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTANTS = {'mag_ref': 6.5, 'n': 2, 'vs30_ref': 760, 'rrup_ref': 0}

CONST_FAULT = {'C4': 0.3, 'href': 0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.PGD'>, <class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

DEFINED_FOR_REFERENCE_VELOCITY = 1180

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

MC = 7.1

REQUIRES_DISTANCES = frozenset({'rrup'})

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'ztor'})

REQUIRES_SITES_PARAMETERS = frozenset({'vs30measured', 'z1pt0', 'vs30'})

SBCR = '_sb'

SUFFIX = '_if'

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_stddevs(C, mag, stddev_types)

Standard deviation. tau: between event stddev ln(g) phis2s: between site stddev in ln(g) phiss: single station stddev in ln(g)

class openquake.hazardlib.gsim.chao_2020.ChaoEtAl2020SSlab(manila=False, aftershocks=False, geology=True, **kwargs)

Bases: openquake.hazardlib.gsim.chao_2020.ChaoEtAl2020SInter

Chao et al. (2020) for Subduction Slab.

CONST_FAULT = {'C4': 0.2, 'href': 35}

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction IntraSlab'

SUFFIX = '_is'

chiou_youngs_2008

Module exports ChiouYoungs2008.

class openquake.hazardlib.gsim.chiou_youngs_2008.ChiouYoungs2008(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Brian S.-J. Chiou and Robert R. Youngs and published as “An NGA Model for the Average Horizontal Component of Peak Ground Motion and Response Spectra” (2008, Earthquake Spectra, Volume 24, No. 1, pages 173-215).

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from values in tables 1, 2 and 3 (pages 197, 198 and 199). Spectral acceleration is defined for damping of 5%, see page 208.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (GMRotI50)'

Supported intensity measure component is orientation-independent measure GMRotI50, see page 174.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration, see tables at pages 198 and 199.

DEFINED_FOR_REFERENCE_VELOCITY = 1130.0

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see chapter “Variance model”.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust, see page 174.

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'rjb'})

Required distance measures are RRup, Rjb and Rx (all are in eq. 13a).

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'dip', 'ztor', 'mag'})

Required rupture parameters are magnitude, rake (eq. 13a and 13b), dip (eq. 13a) and ztor (eq. 13a).

REQUIRES_SITES_PARAMETERS = frozenset({'vs30measured', 'z1pt0', 'vs30'})

Required site parameters are Vs30 (eq. 13b), Vs30 measured flag (eq. 20) and Z1.0 (eq. 13b).

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

chiou_youngs_2008_swiss

Module exports ChiouYoungs2008SWISS01, ChiouYoungs2008SWISS06, ChiouYoungs2008SWISS04.

class openquake.hazardlib.gsim.chiou_youngs_2008_swiss.ChiouYoungs2008SWISS01(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2008.ChiouYoungs2008

This class extends :class:ChiouYoungs2008, adjusted to be used for the Swiss Hazard Model [2014]. This GMPE is valid for a fixed value of vs30=620m/s

1. kappa value K-adjustments corresponding to model 01 - as prepared by Ben Edwards K-value for PGA were not provided but infered from SA[0.01s] the model considers a fixed value of vs30==620 to match the reference vs30=1100m/s
2. small-magnitude correction
3. single station sigma - inter-event magnitude/distance adjustment

Disclaimer: these equations are modified to be used for the Swiss Seismic Hazard Model [2014]. The use of these models in other models is the soly responsability of the hazard modeler.

Model implemented by laurentiu.danciu@gmail.com

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_REFERENCE_VELOCITY = 1105.0

Vs30 value representing typical rock conditions in Switzerland. confirmed by the Swiss GMPE group

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

get_nl(C, ln_y_ref, exp1, exp2)

get_tau(C, rup)

class openquake.hazardlib.gsim.chiou_youngs_2008_swiss.ChiouYoungs2008SWISS04(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2008_swiss.ChiouYoungs2008SWISS01

This class extends :class:ChiouYoungs2008,following same strategy as for :class:ChiouYoungs2008SWISS01 to be used for the Swiss Hazard Model [2014].

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.chiou_youngs_2008_swiss.ChiouYoungs2008SWISS06(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2008_swiss.ChiouYoungs2008SWISS01

This class extends :class:ChiouYoungs2008,following same strategy as for :class:ChiouYoungs2008SWISS01 to be used for the Swiss Hazard Model [2014].

COEFFS_FS_ROCK = <openquake.hazardlib.gsim.base.CoeffsTable object>

chiou_youngs_2008_swiss_coeffs

openquake.hazardlib.gsim.chiou_youngs_2008_swiss_coeffs.COEFFS_FS_ROCK_SWISS01 = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

chiou_youngs_2014

Module exports ChiouYoungs2014

ChiouYoungs2014Japan ChiouYoungs2014Italy ChiouYoungs2014Wenchuan ChiouYoungs2014PEER ChiouYoungs2014NearFaultEffect

class openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Brian S.-J. Chiou and Robert R. Youngs

Chiou, B. S.-J. and Youngs, R. R. (2014), “Updated of the Chiou and Youngs NGA Model for the Average Horizontal Component of Peak Ground Motion and Response Spectra, Earthquake Spectra, 30(3), 1117 - 1153, DOI: 10.1193/072813EQS219M

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from values in tables 1 - 5

CONSTANTS = {'c2': 1.06, 'c4': -2.1, 'c4a': -0.5, 'crb': 50.0, 'c8a': 0.2695, 'c11': 0.0, 'phi6': 300.0, 'phi6jp': 800.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (RotD50)'

Supported intensity measure component is orientation-independent measure RotD50,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, peak ground velocity and peak ground acceleration

DEFINED_FOR_REFERENCE_VELOCITY = 1130

Reference shear wave velocity

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total, see chapter “Variance model”.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rx', 'rrup', 'rjb'})

Required distance measures are RRup, Rjb and Rx.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'dip', 'ztor', 'mag'})

Required rupture parameters are magnitude, rake, dip and ztor.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30measured', 'z1pt0', 'vs30'})

Required site parameters are Vs30, Vs30 measured flag and Z1.0.

get_basin_depth_term(C, centered_z1pt0)

Returns the basin depth scaling

get_directivity(C, rup, dists)

Returns the directivity term.

The directivity prediction parameter is centered on the average directivity prediction parameter. Here we set the centered_dpp equal to zero, since the near fault directivity effect prediction is off by default in our calculation.

get_far_field_distance_scaling(C, mag, rrup)

Returns the far-field distance scaling term - both magnitude and distance

get_geometric_spreading(C, mag, rrup)

Returns the near-field geometric spreading term

get_hanging_wall_term(C, rup, dists)

Returns the hanging wall term

get_linear_site_term(C, sites)

Returns the linear site scaling term

get_ln_y_ref(C, rup, dists)

Returns the ground motion on the reference rock, described fully by Equation 11

get_magnitude_scaling(C, mag)

Returns the magnitude scaling

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_nonlinear_site_term(C, sites, y_ref)

Returns the nonlinear site term and the Vs-scaling factor (to be used in the standard deviation model

get_phi(C, mag, sites, nl0)

Returns the within-event variability described in equation 13, line 3

get_source_scaling_terms(C, rup, delta_ztor)

Returns additional source scaling parameters related to style of faulting, dip and top of rupture depth

get_stddevs(C, sites, mag, y_ref, f_nl_scaling, stddev_types)

Returns the standard deviation model described in equation 13

get_stress_scaling(C)

Returns the stress drop scaling factor

get_tau(C, mag)

Returns the between-event variability described in equation 13, line 2

class openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014Italy(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014

Adaption of the Chiou & Youngs (2014) GMPE for the the Italy far-field attenuation scaling, but assuming the California site amplification model

get_far_field_distance_scaling(C, mag, rrup)

Returns the far-field distance scaling term - both magnitude and distance

class openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014Japan(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014

Regionalisation of the Chiou & Youngs (2014) GMPE for use with the Japan far-field distance attuation scaling and site model

get_basin_depth_term(C, centered_z1pt0)

Returns the basin depth scaling

get_far_field_distance_scaling(C, mag, rrup)

Returns the far-field distance scaling term - both magnitude and distance

get_linear_site_term(C, sites)

Returns the linear site scaling term

class openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014NearFaultEffect(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014

This implements the Chiou & Youngs (2014) GMPE include the near fault effect prediction. In this version, we add the distance measure, rcdpp for directivity prediction.

REQUIRES_DISTANCES = frozenset({'rcdpp', 'rx', 'rrup', 'rjb'})

Required distance measures are RRup, Rjb, Rx, and Rcdpp

class openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014PEER(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014

This implements the Chiou & Youngs (2014) GMPE for use with the PEER tests. In this version the total standard deviation is fixed at 0.65

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.PGA'>})

The PEER tests requires only PGA

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Only the total standars deviation is defined

get_stddevs(C, sites, mag, y_ref, f_nl_scaling, stddev_types)

Returns the standard deviation, which is fixed at 0.65 for every site

class openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014Wenchuan(**kwargs)

Bases: openquake.hazardlib.gsim.chiou_youngs_2014.ChiouYoungs2014

Adaption of the Chiou & Youngs (2014) GMPE for the Wenchuan far-field attenuation scaling, but assuming the California site amplification model. It should be note that according to Chiou & Youngs (2014) this adjustment is calibrated only for the M7.9 Wenchuan earthquake, so application to other scenarios is at the user’s own risk

get_far_field_distance_scaling(C, mag, rrup)

Returns the far-field distance scaling term - both magnitude and distance

climent_1994

Module exports :class:’ClimentEtAl1994’.

class openquake.hazardlib.gsim.climent_1994.ClimentEtAl1994(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Climent, A, W. Taylor, M. Ciudad Real, W. Strauch, M. Villagran, A. Dahle, and H. Bungum. Published as a NORSAR report: “Spectral strong motion attenuation in Central Ame- rica”, NORSAR Technical Report No. 2-17, 46 pp. The original formulation predict PGA (m/s*s) and 5% damped PSV (m/s) for the largest component of horizontal ground motion. In this implementation: Spectral acceleration (SA) values are obtained from PSV ones using the following formula :

SA = [PSV * (2 * pi/ T)]/ratio(SA_larger/SA_geo_mean) StdDev.TOTAL=StdDev.TOTAL/sd_ratio(SA_larger/SA_geo_mean)

The ratio() and sd_ratio() from Beyer and Bommer(2006)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Equation coefficients, described in Table 4.1 on pp. 22 the original imt values are defined as frequencies values the sigma_ls was excluded

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Greater of two horizontal'

Supported intensity measure component is the largest component of two horizontal components openquake.hazardlib.const.IMC.GREATER_OF_TWO_HORIZONTAL, see paragraph before table on Summary, page 1.

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration. See Table 2 in page 1865

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation types is total. See equation 1 on the Summary and Table 4.1, page 22.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is active shallow crust and/or interface subduction the authors did not distinction between shallow and sudbdution events (see topic 5.3 “Shallow crustal vs.subduction events, pag. 32). Any factor/parameter is used in the formulation to discriminate between shallow or interface tectonic regime, here this GMPE is implemented for active_shallow_crust only

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is Rhypo, explained in page 1(eq. 1)

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude.

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters. The GMPE was developed for rock and soil site conditions. The parameter S in eq. 1 (see Summary) define the soil condition: S=0 for rock, S=1 for soil. Here we use the Vs30=760 as limit between the two soil conditions

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

convertito_2012

Module exports :class:’ConvertitoEtAl2012Geysers’

class openquake.hazardlib.gsim.convertito_2012.ConvertitoEtAl2012Geysers(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the PGA GMPE for Induced Seismicity in the Geysers Geothermal field, published in Convertito, V., Maercklin, N., Sharma, N., and Zollo, A. (2012) From Induced Seismicity to Direct Time-Dependent Seismic Hazard. Bulletin of the Seismological Society of America, 102(6), 2563 - 2573

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Greater of two horizontal'

Supported intensity measure component is the larger of two components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are peak ground acceleration

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation types is total.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Geothermal'

The GMPE is derived from induced earthquakes in the Geysers Geothermal field

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameters. The GMPE was developed for two site conditions “with” and “without” site effect. No information is given regarding the soil conditions, so we assume “with site effect” to correspond to NEHRP Classes C, D or E (i.e. Vs30 < 760), and “without site effect” to corresponse to NEHRP Classes A and B (i.e. Vs30 >= 760)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

GMPE not tested against independent implementation so raise not verified warning

derras_2014

Module exports DerrasEtAl2014

class openquake.hazardlib.gsim.derras_2014.DerrasEtAl2014(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by: B. Derras, P. Y. Bard, F. Cotton (2014) “Toward fully data driven ground- motion prediction models for Europe”, Bulletin of Earthquake Engineering 12, 495-516

The GMPE is derived from an artifical neural network approach, and therefore does not assume the form of source, path and site scaling that is conventionally adopted by GMPEs. Instead the influence of each variable is modelled via a hyperbolic tangent-sigmoid function which is then applied to the vector of normalised predictor variables. As a consequence the expected ground motion for each site is derived from a set of matrix products from the respective weighting and bias vectors. This means that vectorisation by sites cannot be achieved and a loop is implemented instead.

B_1 = array([-1.27123249, 1.51261103, 0.59108901, -0.12662269, -0.41572122])

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTANTS = {'minMw': 3.6, 'maxMw': 7.6, 'logMinR': -1.0, 'logMaxR': 2.737987326333431, 'minD': 0.0, 'maxD': 25.0, 'logMinVs30': 1.9637878273455553, 'logMaxVs30': 3.203495235193291, 'minFM': 1.0, 'maxFM': 4.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

The supported intensity measure component is ‘average horizontal’,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

The supported intensity measure types are PGA, PGV, and SA

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

The supported standard deviations are total, inter and intra event

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

The supported tectonic region type is active shallow crust

REQUIRES_DISTANCES = frozenset({'rjb'})

The required distance parameter is ‘Joyner-Boore’ distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'rake', 'hypo_depth', 'mag'})

The required rupture parameters are rake and magnitude

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

The required site parameter is vs30

W_1 = array([[ 2.64789163, -1.07021796, 0.17408776, 0.09219129, -0.01376368], [-1.90867544, -0.53501737, -0.70514162, 0.16761158, -0.02661049], [ 0.20354214, 1.78055764, -0.08049459, 0.01359636, 0.06150821], [-0.6927375 , 0.44150523, 0.77557997, -0.03171773, -0.16306571], [ 0.01616282, 0.21814134, -1.60609945, -0.04163626, 0.02605798]])

get_mean(C, rup, sites, dists)

Returns the mean ground motion in terms of log10 m/s/s, implementing equation 2 (page 502)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_pn(rup, sites, dists, sof)

Normalise the input parameters within their upper and lower defined range

get_stddevs(C, n_sites, stddev_types)

Returns the standard deviations - originally given in terms of log_10, so converting to log_e

dost_2004

Module exports :class:’DostEtAl2004’

class openquake.hazardlib.gsim.dost_2004.DostEtAl2004(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the GMPE of Dost et al. (2004) for PGA and PGV from induced seismicity earthquakes in the Netherlands Dost, B., van Eck, T. and Haak, H. (2004) Scaling of peak ground acceleration and peak ground velocity recorded in the Netherlands. Bollettino di Geofisica Teorica ed Applicata. 45(3), 153 - 168

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (GMRotD100)'

Supported intensity measure component is the average horizontal

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are peak ground acceleration and peak ground velocity

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation types is total.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Induced'

The GMPE is derived from induced earthquakes

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is hypocentral distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameters are magnitude (ML is used)

REQUIRES_SITES_PARAMETERS = frozenset()

No required site parameters

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

GMPE not tested against independent implementation so raise not verified warning

class openquake.hazardlib.gsim.dost_2004.DostEtAl2004BommerAdaptation(**kwargs)

Bases: openquake.hazardlib.gsim.dost_2004.DostEtAl2004

Adaptation of the GMPE for application to higher magnitudes proposed by Bommer et al. (2013)

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types is total.

douglas_stochastic_2013

Module exports DouglasEtAl2013StochasticSD001Q200K005 DouglasEtAl2013StochasticSD001Q200K020 DouglasEtAl2013StochasticSD001Q200K040 DouglasEtAl2013StochasticSD001Q200K060 DouglasEtAl2013StochasticSD001Q600K005 DouglasEtAl2013StochasticSD001Q600K020 DouglasEtAl2013StochasticSD001Q600K040 DouglasEtAl2013StochasticSD001Q600K060 DouglasEtAl2013StochasticSD001Q1800K005 DouglasEtAl2013StochasticSD001Q1800K020 DouglasEtAl2013StochasticSD001Q1800K040 DouglasEtAl2013StochasticSD001Q1800K060 DouglasEtAl2013StochasticSD010Q200K005 DouglasEtAl2013StochasticSD010Q200K020 DouglasEtAl2013StochasticSD010Q200K040 DouglasEtAl2013StochasticSD010Q200K060 DouglasEtAl2013StochasticSD010Q600K005 DouglasEtAl2013StochasticSD010Q600K020 DouglasEtAl2013StochasticSD010Q600K040 DouglasEtAl2013StochasticSD010Q600K060 DouglasEtAl2013StochasticSD010Q1800K005 DouglasEtAl2013StochasticSD010Q1800K020 DouglasEtAl2013StochasticSD010Q1800K040 DouglasEtAl2013StochasticSD010Q1800K060 DouglasEtAl2013StochasticSD100Q200K005 DouglasEtAl2013StochasticSD100Q200K020 DouglasEtAl2013StochasticSD100Q200K040 DouglasEtAl2013StochasticSD100Q200K060 DouglasEtAl2013StochasticSD100Q600K005 DouglasEtAl2013StochasticSD100Q600K020 DouglasEtAl2013StochasticSD100Q600K040 DouglasEtAl2013StochasticSD100Q600K060 DouglasEtAl2013StochasticSD100Q1800K005 DouglasEtAl2013StochasticSD100Q1800K020 DouglasEtAl2013StochasticSD100Q1800K040 DouglasEtAl2013StochasticSD100Q1800K060

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q1800K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 1800 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q1800K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 1800 - Kappa 0.020

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q1800K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 1800 - Kappa 0.040

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q1800K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 1800 - Kappa 0.060

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the GMPE for induced seismicity in Geothermal Areas derived from stochastic simulations of ground motion constructed by:

Douglas, J., Edwards, B., Convertito, V., Sharma, N., Tramelli, A.,

Kraaijpoel, D., Cabrera, B. M., Maercklin, N., and Troise, C. (2013) “Predicting Ground Motion for Induced Earthquakes in Geothermal Areas” Bulleting of the Seismological Society of America, 103(3), 1875 - 1897

The stochastic model by Douglas et al. (2013) provides coefficients for 36 GMPEs, corresponding to different values of Stress Drop (1 bar, 10 bar, 100 bar), Attentuation Quality Factor Q (200, 600, 1800) and high-frequency Kappa (0.005, 0.02, 0.04, 0.05 s).

The present model is implemented for Stress Drop 1 bar, Q 200 and Kappa 0.005 s.

The models for each combination of Stress Drop, Q and Kappa are implemented in subclasses, with only the median coefficients modified in each subclass

Notes on implementation:

1. Aleatory uncertainty terms are not supplied for the stochastic coefficients. Instead the adjusted aleatory uncertainty coefficients derived from empirical observations are applied to the stochastic model.
2. In the initial coefficient set for the stochastic model coefficients for spectral accelerations up to 10 s are provided. However, the empirical aleatory uncertainties are provided only for periods up to 0.5012 s. Therefore, after consulation with J. Douglas, it is decided to limit longest applicable spectral period to Sa (0.5 s), rather than extrapolate the empricial aleatory coefficients to longer periods.
3. For PGA and Sa (< 0.01 s) the aleatory uncertainty coefficients for Sa (0.01 s) are applied (J. Douglas, pers. comm.)
4. For Sa (< 0.01 s) the coefficients are interpolated assuming PGA occurs at Sa (0.005 s) (J. Dougla, pers. comm.). We therefore limit the short period range to 0.005 s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

The supported intensity measure component is ‘average horizontal’, see section entitiled “Empirical Analysis”, paragraph 1

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

The supported intensity measure types are PGA, PGV, and SA, see table 4.a, pages 22-23

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

The supported standard deviations are total, inter and intra event, see table 4.a, pages 22-23

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Geothermal'

The supported tectonic region type is Geothermal because the equations have been developed for geothermal regions

REQUIRES_DISTANCES = frozenset({'rhypo'})

The required distance parameter is hypocentral distance

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

The required rupture parameters are magnitude

REQUIRES_SITES_PARAMETERS = frozenset()

No additional site term is defined

SIGMA_COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

get_distance_scaling_term(C, rhyp)

Returns the distance scaling term (equation 1)

get_magnitude_scaling_term(C, mag)

Returns the magnitude scaling term (equation 1)

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

get_stddevs(C_SIG, stddev_types, num_sites)

Returns the standard deviations

N.B. In the paper, and with confirmation from the author, the aleatory variability terms from the empirical model are used in conjunction with the median coefficients from the stochastic model. In the empirical model, coefficients for a single-station intra-event sigma are derived. These are labeled as “phi”. Inter-event coefficients corresponding to two observed geothermal sequences (Soultz-Sous-Forets and Basel) are also derived. The inter-event standard deviation is therefore taken as the ordinary mean of the two inter-event sigma terms

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 200 - Kappa 0.02

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 200 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 200 - Kappa 0.06

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q600K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 600 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q600K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 600 - Kappa 0.020

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q600K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 600 - Kappa 0.040

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q600K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 001 - Q 600 - Kappa 0.060

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q1800K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 600 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q1800K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 1800 - Kappa 0.02

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q1800K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 1800 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q1800K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 1800 - Kappa 0.06

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q200K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 200 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q200K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 200 - Kappa 0.020

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q200K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 200 - Kappa 0.040

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q200K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 200 - Kappa 0.060

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q600K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 600 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q600K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 600 - Kappa 0.02

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q600K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 600 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD010Q600K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 010 - Q 600 - Kappa 0.06

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q1800K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 1800 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q1800K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 1800 - Kappa 0.02

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q1800K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 1800 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q1800K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 1800 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q200K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 200 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q200K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 200 - Kappa 0.02

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q200K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 200 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q200K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 200 - Kappa 0.06

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q600K005(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 600 - Kappa 0.005

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q600K020(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 600 - Kappa 0.02

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q600K040(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 600 - Kappa 0.04

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD100Q600K060(**kwargs)

Bases: openquake.hazardlib.gsim.douglas_stochastic_2013.DouglasEtAl2013StochasticSD001Q200K005

Stress Drop 100 - Q 600 - Kappa 0.06

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

dowrickrhoades_2005

Module exports DowrickRhoades2005Asc,:class:DowrickRhoades2005SInter DowrickRhoades2005SSlab, and DowrickRhoades2005Volc.

class openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005Asc(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements IPE developed by D.J. Dowrick and D.A. Rhoades published as “Revised models for attenuation of Modified Mercalli Intensity in New Zealand earthquakes”, Bulletin of the New Zealand Society for Earthquake Engineering, v.38, no. 4, p. 185-214, December 2005.

URL: http://www.nzsee.org.nz/db/Bulletin/Archive/38(4)0185.pdf Last accessed 20 November 2015.

This class implements the IPE for Active Shallow Crust for different faulting types.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table (table 5, page 198)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

Supported intensity measure component is the horizontal component

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.MMI'>})

Supported intensity measure type is MMI.

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are Inter, Intra and Total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type for base class is ‘active shallow crust’

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is rrup (paragraphy x, page xx) which is

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth', 'rake'})

Required rupture parameters are magnitude, and rake and hypocentral

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

The only site parameter is vs30 used to map to site class to distinguish

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005SInter(**kwargs)

Bases: openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005Asc

Implements IPE developed by D.J. Dowrick and D.A. Rhoades published as “Revised models for attenuation of Modified Mercalli Intensity in New Zealand earthquakes”, Bulletin of the New Zealand Society for Earthquake Engineering, v.38, no. 4, p. 185-214, December 2005.

URL: http://www.nzsee.org.nz/db/Bulletin/Archive/38(4)0185.pdf Last accessed 20 November 2015.

This class implements the IPE for Subduction Interface events

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

class openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005SSlab(**kwargs)

Bases: openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005Asc

Implements IPE developed by D.J. Dowrick and D.A. Rhoades published as “Revised models for attenuation of Modified Mercalli Intensity in New Zealand earthquakes”, Bulletin of the New Zealand Society for Earthquake Engineering, v.38, no. 4, p. 185-214, December 2005.

URL: http://www.nzsee.org.nz/db/Bulletin/Archive/38(4)0185.pdf Last accessed 20 November 2015.

This class implements the IPE for Subduction Slab events

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table (table 7, page 198)

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction IntraSlab'

class openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005Volc(**kwargs)

Bases: openquake.hazardlib.gsim.dowrickrhoades_2005.DowrickRhoades2005Asc

Implements IPE developed by D.J. Dowrick and D.A. Rhoades published as “Revised models for attenuation of Modified Mercalli Intensity in New Zealand earthquakes”, Bulletin of the New Zealand Society for Earthquake Engineering, v.38, no. 4, p. 185-214, December 2005.

URL: http://www.nzsee.org.nz/db/Bulletin/Archive/38(4)0185.pdf Last accessed 20 November 2015.

This class implements the IPE for events with a volcanic source

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Volcanic'

drouet_2015_brazil

Module exports DrouetBrazil2015

DrouetBrazil2015_with_depth

class openquake.hazardlib.gsim.drouet_2015_brazil.DrouetBrazil2015(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by S. Drouet unpublished for Brazil based on the method described in Douet & Cotton (2015) BSSA doi: 10.1785/0120140240.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of attr:~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration, see table 6, page 1022 (PGA is assumed to be equal to SA at 0.01 s)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation type is only total, see equation 35, page 1021

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is stable continental crust given that the equations have been derived for Eastern North America.

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is only magnitude, see equation 30 page 1021.

REQUIRES_SITES_PARAMETERS = frozenset()

No site parameters are needed

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.drouet_2015_brazil.DrouetBrazil2015withDepth(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_2015_brazil.DrouetBrazil2015

Implements GMPE developed by S. Drouet unpublished for Brazil based on the method described in Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. Model with magnitude-dependent depth distribution and depth-dependent stress distribution

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic supplements of the original paper.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

Required rupture parameter is only magnitude, see equation 30 page 1021.

drouet_alpes_2015

Module exports DrouetAlpes2015Rjb

DrouetAlpes2015Rrup DrouetAlpes2015Repi DrouetAlpes2015Rhyp DrouetAlpes2015RjbHR DrouetAlpes2015RrupHR DrouetAlpes2015RepiHR DrouetAlpes2015RhypHR DrouetAlpes2015Rjb_50bars DrouetAlpes2015Rrup_50bars DrouetAlpes2015Repi_50bars DrouetAlpes2015Rhypo_50bars DrouetAlpes2015RjbHR_50bars DrouetAlpes2015RrupHR_50bars

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Repi(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper.

REQUIRES_DISTANCES = frozenset({'repi'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015RepiHR(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Repi

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 100 bars (recommended by the authors) Valid for vs30=2000 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the erratum to the original paper.

DEFINED_FOR_REFERENCE_VELOCITY = 2000

REQUIRES_DISTANCES = frozenset({'repi'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Repi_50bars(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Repi

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 50 bars Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is not published

DEFINED_FOR_REFERENCE_VELOCITY = 800

REQUIRES_DISTANCES = frozenset({'repi'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rhyp(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper.

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015RhypHR(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rhyp

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 100 bars (recommended by the authors) Valid for vs30=2000 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the erratum to the original paper.

DEFINED_FOR_REFERENCE_VELOCITY = 2000

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rhyp_50bars(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rhyp

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 50 bars Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is not published

DEFINED_FOR_REFERENCE_VELOCITY = 800

REQUIRES_DISTANCES = frozenset({'rhypo'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 100 bars (recommended by the authors) Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two : horizontal components AVERAGE_HORIZONTAL,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration, see table 6, page 1022 (PGA is assumed to be equal to SA at 0.01 s)

DEFINED_FOR_REFERENCE_VELOCITY = 800

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation type is only total, see equation 35, page 1021

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is stable continental crust given that the equations have been derived for Eastern North America.

REQUIRES_DISTANCES = frozenset({'rjb'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Required rupture parameter is only magnitude, see equation 30 page 1021.

REQUIRES_SITES_PARAMETERS = frozenset()

No site parameters are needed

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

non_verified = True

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015RjbHR(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 100 bars (recommended by the authors) Valid for vs30=2000 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the erratum to the original paper.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015RjbHR_50bars(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 50 bars Valid for vs30=2000 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is not published

DEFINED_FOR_REFERENCE_VELOCITy = 2000

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb_50bars(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 50 bars Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is not published

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rrup(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rjb

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the original paper.

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is rupture distance, see equation 30 page 1021.

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015RrupHR(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rrup

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 100 bars (recommended by the authors) Valid for vs30=2000 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient tables are constructed from the electronic suplements of the erratum to the original paper.

DEFINED_FOR_REFERENCE_VELOCITY = 2000

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015RrupHR_50bars(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rrup

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 50 bars Valid for vs30=2000 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is not published

DEFINED_FOR_REFERENCE_VELOCITY = 2000

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

class openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rrup_50bars(**kwargs)

Bases: openquake.hazardlib.gsim.drouet_alpes_2015.DrouetAlpes2015Rrup

Implements GMPE developed by Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. This version is for a large magnitude stress parameters of 50 bars Valid for vs30=800 m/s

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table is not published

DEFINED_FOR_REFERENCE_VELOCITY = 800

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is closest distance to rupture, see equation 30 page 1021.

ecos_2009

Module exports: class:ECOS2009, class:ECOS2009Highest

class openquake.hazardlib.gsim.ecos_2009.ECOS2009(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements the Intensity Prediction Equation of “Calibration of historical earthquakes for the earthquake catalogue of Switzerland (ECOS-09)”: Appendix D

This class implements the version using “all intensity levels”, fixed depth (h=10km) and the weighting scheme “no weighting”.

See page 18 for general equation (8) - needs to be solved for I_obs - and equation (9) for estimating coefficients c0,c1,c2,c3. Coefficients a,b are taken from Table 4 on page 19. Coefficients alpha,beta are taken from Table 5 on page 19.

Implemented by laurentiu.danciu@sed.ethz.ch

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper.

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.MMI'>})

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

REQUIRES_DISTANCES = frozenset({'rhypo'})

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'hypo_depth'})

REQUIRES_SITES_PARAMETERS = frozenset()

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.ecos_2009.ECOS2009Highest(**kwargs)

Bases: openquake.hazardlib.gsim.ecos_2009.ECOS2009

This class implements the version using “three highest intensity levels”, fixed depth (h=10km) and the weighting scheme “no weighting”.

See page 18 for general equation (8) - needs to be solved for I_obs - and equation (9) for estimating coefficients c0,c1,c2,c3. Coefficients a,b are taken from Table 4 on page 19. Coefficients alpha,beta are taken from Table 5 on page 19.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

edwards_fah_2013a

Module exports EdwardsFah2013Alpine10Bars, EdwardsFah2013Alpine20Bars, EdwardsFah2013Alpine30Bars, EdwardsFah2013Alpine50Bars, EdwardsFah2013Alpine60Bars, EdwardsFah2013Alpine75Bars, EdwardsFah2013Alpine90Bars, EdwardsFah2013Alpine120Bars.

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

This function implements the GMPE developed by Ben Edwars and Donath Fah and published as “A Stochastic Ground-Motion Model for Switzerland” Bulletin of the Seismological Society of America, Vol. 103, No. 1, pp. 78–98, February 2013. The GMPE was parametrized by Carlo Cauzzi to be implemented in OpenQuake. This class implements the equations for ‘Alpine’ and ‘Foreland - two tectonic regionalizations defined for the Switzerland - therefore this GMPE is region specific”. @ implemented by laurentiu.danciu@sed.ethz.zh

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of two horizontal components AVERAGE_HORIZONTAL

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration, see tables 3 and 4, pages 227 and 228.

DEFINED_FOR_REFERENCE_VELOCITY = 1105.0

Vs30 value representing typical rock conditions in Switzerland. confirmed by the Swiss GMPE group

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is total, Carlo Cauzzi - Personal Communication

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

Supported tectonic region type is ALPINE which is a sub-region of Active Shallow Crust.

M1 = 5.0

Fixed magnitude terms

M2 = 4.7

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is Rrup

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag', 'rake'})

Required rupture parameters: magnitude

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Required site parameter is only Vs30 (used to distinguish rock and deep soil).

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine120Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 120Bars Model EdwardsFah2013Alpine120Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine20Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 20Bars Model EdwardsFah2013Alpine20Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine30Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 30Bars Model EdwardsFah2013Alpine30Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine50Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 50Bars Model EdwardsFah2013Alpine50Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine60Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 60Bars Model EdwardsFah2013Alpine60Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine75Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 75Bars Model EdwardsFah2013Alpine75Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine90Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This class extends EdwardsFah2013Alpine10Bars and implements the 90Bars Model EdwardsFah2013Alpine90Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

edwards_fah_2013a_coeffs

edwards_fah_2013f

Module exports EdwardsFah2013Foreland10Bars, EdwardsFah2013Foreland20Bars, EdwardsFah2013Foreland30Bars, EdwardsFah2013Foreland50Bars, EdwardsFah2013Foreland60Bars, EdwardsFah2013Foreland75Bars, EdwardsFah2013Foreland90Bars, EdwardsFah2013Foreland120Bars

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013a.EdwardsFah2013Alpine10Bars

This function implements the GMPE developed by Ben Edwards and Donath Fah and published as “A Stochastic Ground-Motion Model for Switzerland” Bulletin of the Seismological Society of America, Vol. 103, No. 1, pp. 78–98, February 2013. The GMPE was parametrized by Carlo Cauzzi to be implemented in OpenQuake. This class implements the equations for ‘Foreland - two tectonic regionalizations defined for the Switzerland - therefore this GMPE is region specific”.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

M1 = 5.0

Fixed magnitude terms

M2 = 4.7

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

compute mean for Foreland

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland120Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 120Bars Model EdwardsFah2013Foreland120Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland20Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 20Bars Model EdwardsFah2013Foreland20Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland30Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 30Bars Model EdwardsFah2013Foreland30Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland50Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 50Bars Model EdwardsFah2013Foreland50Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland60Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 60Bars Model EdwardsFah2013Foreland60Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland75Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 75Bars Model EdwardsFah2013Foreland75Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

class openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland90Bars(**kwargs)

Bases: openquake.hazardlib.gsim.edwards_fah_2013f.EdwardsFah2013Foreland10Bars

This class extends EdwardsFah2013Foreland10Bars and implements the 90Bars Model EdwardsFah2013Foreland90Bars

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

edwards_fah_2013f_coeffs

eshm20_craton

Module exports ESHM20Craton

class openquake.hazardlib.gsim.eshm20_craton.ESHM20Craton(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements a scalable backbone GMPE for application to stable cratonic regions (primarily intended for cratonic Europe). The median ground motion is determined by fitting a parametric model to an extensive set of ground motion scenarios from the suite of NGA East ground motion models for 800 m/s site class. The form of the parametric model is based on that of openquake.hazardlib.gsim.kotha_2019.KothaEtAl2019, and the scaling in terms of the number of standard deviations of the epistemic uncertainty (sigma).

The aleatory uncertainty model is that of Al Atik (2015), which is common to all NGA East ground motion models and configurable by the user.

Parameters:

• epsilon (float) – Number of standard deviations above or below the median to be applied to the epistemic uncertainty sigma
• tau_model (str) – Choice of model for the inter-event standard deviation (tau), selecting from “global” {default}, “cena” or “cena_constant”
• phi_model (str) – Choice of model for the single-station intra-event standard deviation (phi_ss), selecting from “global” {default}, “cena” or “cena_constant”
• TAU – Inter-event standard deviation model
• PHI_SS – Single-station standard deviation model
• PHI_S2SS – Station term for ergodic standard deviation model
• ergodic (bool) – True if an ergodic model is selected, False otherwise
• tau_quantile (float) – Epistemic uncertainty quantile for the inter-event standard deviation models. Float in the range 0 to 1, or None (mean value used)
• phi_ss_quantile (float) – Epistemic uncertainty quantile for the intra-event standard deviation models. Float in the range 0 to 1, or None (mean value used)
• phi_s2ss_quantile (float) – Epistemic uncertainty quantile for the site-to-site standard deviation models. Float in the range 0 to 1, or None (mean value used)
• site_epsilon (float) – Number of standard deviations above or below median for the uncertainty in the site amplification model

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

CONSTANTS = {'Mref': 4.5, 'Rref': 1.0, 'Mh': 6.2, 'h': 5.0}

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average Horizontal (RotD50)'

Supported intensity measure component is the geometric mean of two horizontal components

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

The GMPE is defined only for PGA and SA

DEFINED_FOR_REFERENCE_VELOCITY = 3000.0

Defined for a reference velocity of 3000 m/s

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Inter event', 'Total', 'Intra event'})

Supported standard deviation types are inter-event, intra-event and total

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is ‘active shallow crust’

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is Rrup

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

Requires only magnitude

REQUIRES_SITES_PARAMETERS = frozenset({'vs30'})

Median calibrated for Vs30 3000 m/s Vs30, no site term required Vs30

experimental = True

get_distance_term(C, mag, rrup)

Returns the distance attenuation factor

get_hard_rock_mean(C, rctx, dctx)

Returns the mean and standard deviations for the reference very hard rock condition (Vs30 = 3000 m/s)

get_magnitude_scaling(C, mag)

Returns the magnitude scaling term

get_mean_and_stddevs(sctx, rctx, dctx, imt, stddev_types)

Returns the mean and standard deviations

get_site_amplification(imt, pga_r, sites)

Returns the sum of the linear (Stewart et al., 2019) and non-linear (Hashash et al., 2019) amplification terms

get_stddevs(mag, imt, sites, stddev_types, num_sites)

Returns the standard deviations for either the ergodic or non-ergodic models

faccioli_2010

Module exports FaccioliEtAl2010.

class openquake.hazardlib.gsim.faccioli_2010.FaccioliEtAl2010(**kwargs)

Bases: openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008

Implements GMPE developed by Ezio Faccioli, Aldo Bianchini and Manuela Villani and published as “New ground motion prediction equations for T>1 s and their influence on seismic hazard assessment” (Proceedings of the University of Tokyo Symposium on Long-Period Ground Motion and Urban Disaster Mitigation, March 17-18, 2010). This class implements the prediction equations for horizontal peak ground acceleration, and 5%-damped spectral acceleration - equation 2 page 2, plus site and faulting style terms (equations 3 and 5, page 3). Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula

SA = DSR * (2 * π / T) ** 2

This class extends :class: ~openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008 because the functional form is almost identical - the only difference is in the third term which rather then using hypocentral distance, uses closest distance to the rupture and additionaly considers a magnitude dependence.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table as from table 1 page 7

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration, see table 1, page 7.

REQUIRES_DISTANCES = frozenset({'rrup'})

Required distance measure is rrup, equation 2, page 2.

faccioli_cauzzi_2006

Module exports : class:FaccioliCauzzi2006

class openquake.hazardlib.gsim.faccioli_cauzzi_2006.FaccioliCauzzi2006(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements “Macroseismic Intensities for seismic scenarios estimated from instrumentally based correlations” by E. Faccioli and C. Cauzzi First European Conference on Earthquake Engineering and Seismology Geneva, Switzerland, 3-8 September 2006 Paper Number: 569

Implemented by laurentiu.danciu@sed.ethz.ch

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

Coefficient table constructed from the electronic suplements of the original paper - coeff in the same order as in Table 4/page 703 for Maw only (read last paragraph on page 701 - expains what Maw should be used)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Horizontal'

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.MMI'>})

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Active Shallow Crust'

REQUIRES_DISTANCES = frozenset({'repi'})

REQUIRES_RUPTURE_PARAMETERS = frozenset({'mag'})

REQUIRES_SITES_PARAMETERS = frozenset()

get_mean_and_stddevs(sites, rup, dists, imt, stddev_types)

See superclass method for spec of input and result values.

frankel_1996

Module exports FrankelEtAl1996MblgAB1987NSHMP2008, FrankelEtAl1996MblgJ1996NSHMP2008, FrankelEtAl1996MwNSHMP2008.

class openquake.hazardlib.gsim.frankel_1996.FrankelEtAl1996MblgAB1987NSHMP2008(**kwargs)

Bases: openquake.hazardlib.gsim.base.GMPE

Implements GMPE developed by Arthur Frankel et al. and documented in “National Seismic-Hazard Maps: Documentation June 1996” (USGS - Open File Report 96-532) available at: http://earthquake.usgs.gov/hazards/products/conterminous/1996/documentation/ofr96-532.pdf

The GMPE is used by the National Seismic Hazard Mapping Project (NSHMP) for the 2008 central and eastern US hazard model.

This class replicates the algorithm as implemented in subroutine getFEA in the hazgridXnga2.f Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/

The GMPE is defined by a set of lookup tables (see Appendix A) defined from minimum magnitude Mw=4.4 to maximum magnitude Mw=8.2, and from (hypocentral) distance 10 km to 1000 km. Values outside these range are clipped.

Lookup tables are defined for PGA, and SA at the following periods: 0.1, 0.2, 0.3, 0.5, 1.0, 2.0. The GMPE does not allow for interpolation on unsupported periods.

The class assumes rupture magnitude to be in Mblg scale (given that MFDs for central and eastern US are given in this scale). However lookup tables are defined for Mw. Therefore Mblg is converted to Mw by using Atkinson and Boore 1987 conversion equation.

Coefficients are given for the B/C site conditions.

COEFFS = <openquake.hazardlib.gsim.base.CoeffsTable object>

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Average horizontal'

Supported intensity measure component is the geometric mean of attr:~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL,

DEFINED_FOR_INTENSITY_MEASURE_TYPES = frozenset({<class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGA'>})

Supported intensity measure types are spectral acceleration, and peak ground acceleration

DEFINED_FOR_REFERENCE_VELOCITY = 760.0

Shear-wave velocity for reference soil conditions in [m s-1]

DEFINED_FOR_STANDARD_DEVIATION_TYPES = frozenset({'Total'})

Supported standard deviation type is only total.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Stable Shallow Crust'

Supported tectonic region type is stable continental crust, given that the equations have been derived for central and eastern north America

DISTS = array([1. , 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. , 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3. ])

IMTS_TABLES = {PGA: array([[-0.71, -0.62, -0.53, -0.44, -0.36, -0.29, -0.21, -0.14, -0.07, 0. , 0.06, 0.12, 0.19, 0.25, 0.31, 0.37, 0.43, 0.49, 0.54, 0.6 ], [-0.84, -0.75, -0.66, -0.57, -0.49, -0.41, -0.33, -0.26, -0.19, -0.12, -0.05, 0.01, 0.07, 0.14, 0.2 , 0.26, 0.32, 0.38, 0.43, 0.49], [-0.98, -0.88, -0.79, -0.7 , -0.62, -0.53, -0.46, -0.38, -0.31, -0.24, -0.17, -0.1 , -0.04, 0.02, 0.08, 0.14, 0.2 , 0.26, 0.32, 0.38], [-1.12, -1.02, -0.93, -0.84, -0.75, -0.66, -0.58, -0.51, -0.43, -0.36, -0.29, -0.22, -0.16, -0.1 , -0.03, 0.03, 0.09, 0.15, 0.21, 0.27], [-1.27, -1.17, -1.07, -0.98, -0.89, -0.8 , -0.72, -0.64, -0.56, -0.49, -0.42, -0.35, -0.28, -0.22, -0.15, -0.09, -0.03, 0.03, 0.09, 0.15], [-1.43, -1.32, -1.22, -1.13, -1.03, -0.94, -0.86, -0.78, -0.7 , -0.62, -0.55, -0.48, -0.41, -0.34, -0.28, -0.22, -0.15, -0.09, -0.03, 0.03], [-1.59, -1.48, -1.38, -1.28, -1.19, -1.09, -1.01, -0.92, -0.84, -0.76, -0.69, -0.61, -0.54, -0.48, -0.41, -0.35, -0.28, -0.22, -0.16, -0.1 ], [-1.76, -1.65, -1.54, -1.44, -1.35, -1.25, -1.16, -1.07, -0.99, -0.91, -0.83, -0.76, -0.69, -0.62, -0.55, -0.48, -0.42, -0.35, -0.29, -0.23], [-1.93, -1.82, -1.72, -1.61, -1.51, -1.42, -1.33, -1.24, -1.15, -1.07, -0.99, -0.91, -0.83, -0.76, -0.69, -0.63, -0.56, -0.5 , -0.43, -0.37], [-2.07, -1.95, -1.84, -1.74, -1.64, -1.54, -1.44, -1.35, -1.26, -1.18, -1.1 , -1.02, -0.94, -0.86, -0.79, -0.72, -0.65, -0.59, -0.53, -0.46], [-2.17, -2.05, -1.94, -1.83, -1.73, -1.63, -1.53, -1.43, -1.34, -1.25, -1.17, -1.09, -1.01, -0.93, -0.86, -0.78, -0.71, -0.65, -0.58, -0.52], [-2.28, -2.16, -2.04, -1.93, -1.83, -1.72, -1.62, -1.53, -1.43, -1.34, -1.25, -1.17, -1.09, -1.01, -0.93, -0.86, -0.78, -0.71, -0.65, -0.58], [-2.44, -2.32, -2.2 , -2.09, -1.98, -1.87, -1.77, -1.67, -1.58, -1.48, -1.39, -1.3 , -1.22, -1.14, -1.06, -0.98, -0.91, -0.83, -0.77, -0.7 ], [-2.63, -2.5 , -2.38, -2.26, -2.15, -2.04, -1.94, -1.84, -1.74, -1.64, -1.55, -1.46, -1.37, -1.29, -1.2 , -1.12, -1.05, -0.97, -0.9 , -0.83], [-2.83, -2.7 , -2.57, -2.45, -2.34, -2.23, -2.12, -2.01, -1.91, -1.81, -1.72, -1.62, -1.53, -1.45, -1.36, -1.28, -1.2 , -1.12, -1.05, -0.98], [-3.05, -2.92, -2.78, -2.66, -2.54, -2.42, -2.31, -2.2 , -2.1 , -2. , -1.9 , -1.8 , -1.71, -1.62, -1.53, -1.45, -1.36, -1.28, -1.21, -1.13], [-3.29, -3.15, -3.01, -2.88, -2.75, -2.63, -2.52, -2.41, -2.3 , -2.19, -2.09, -1.99, -1.9 , -1.8 , -1.71, -1.62, -1.54, -1.46, -1.38, -1.3 ], [-3.55, -3.4 , -3.25, -3.11, -2.98, -2.86, -2.74, -2.62, -2.51, -2.4 , -2.3 , -2.19, -2.09, -2. , -1.9 , -1.81, -1.72, -1.64, -1.56, -1.48], [-3.84, -3.67, -3.52, -3.37, -3.23, -3.1 , -2.97, -2.85, -2.73, -2.62, -2.51, -2.41, -2.3 , -2.2 , -2.1 , -2.01, -1.92, -1.83, -1.74, -1.66], [-4.15, -3.97, -3.8 , -3.65, -3.5 , -3.36, -3.22, -3.09, -2.97, -2.85, -2.74, -2.63, -2.52, -2.42, -2.31, -2.22, -2.12, -2.03, -1.94, -1.85], [-4.48, -4.29, -4.11, -3.94, -3.78, -3.63, -3.49, -3.35, -3.22, -3.1 , -2.98, -2.86, -2.75, -2.64, -2.53, -2.43, -2.33, -2.23, -2.14, -2.05]]), SA(0.1): array([[-0.43, -0.32, -0.23, -0.14, -0.05, 0.03, 0.11, 0.19, 0.26, 0.33, 0.4 , 0.47, 0.54, 0.6 , 0.66, 0.72, 0.78, 0.84, 0.9 , 0.96], [-0.55, -0.44, -0.35, -0.26, -0.17, -0.08, 0. , 0.07, 0.15, 0.22, 0.29, 0.36, 0.43, 0.49, 0.55, 0.62, 0.68, 0.74, 0.8 , 0.86], [-0.67, -0.57, -0.47, -0.38, -0.29, -0.2 , -0.12, -0.04, 0.03, 0.11, 0.18, 0.25, 0.31, 0.38, 0.44, 0.51, 0.57, 0.63, 0.69, 0.75], [-0.8 , -0.69, -0.6 , -0.5 , -0.41, -0.33, -0.24, -0.16, -0.09, -0.01, 0.06, 0.13, 0.2 , 0.27, 0.33, 0.39, 0.46, 0.52, 0.58, 0.64], [-0.93, -0.83, -0.73, -0.63, -0.54, -0.45, -0.37, -0.29, -0.21, -0.13, -0.06, 0.01, 0.08, 0.15, 0.21, 0.28, 0.34, 0.4 , 0.46, 0.52], [-1.07, -0.97, -0.86, -0.77, -0.68, -0.59, -0.5 , -0.42, -0.34, -0.26, -0.18, -0.11, -0.04, 0.03, 0.09, 0.16, 0.22, 0.28, 0.35, 0.41], [-1.22, -1.11, -1.01, -0.91, -0.82, -0.73, -0.64, -0.55, -0.47, -0.39, -0.32, -0.24, -0.17, -0.1 , -0.03, 0.03, 0.1 , 0.16, 0.22, 0.28], [-1.37, -1.26, -1.16, -1.06, -0.97, -0.87, -0.78, -0.7 , -0.61, -0.53, -0.45, -0.38, -0.3 , -0.23, -0.16, -0.1 , -0.03, 0.03, 0.1 , 0.16], [-1.53, -1.42, -1.32, -1.22, -1.12, -1.03, -0.94, -0.85, -0.76, -0.68, -0.6 , -0.52, -0.45, -0.37, -0.3 , -0.23, -0.17, -0.1 , -0.04, 0.02], [-1.65, -1.54, -1.43, -1.33, -1.24, -1.14, -1.05, -0.96, -0.87, -0.79, -0.7 , -0.62, -0.54, -0.47, -0.4 , -0.33, -0.26, -0.19, -0.13, -0.06], [-1.73, -1.62, -1.51, -1.41, -1.31, -1.22, -1.12, -1.03, -0.94, -0.86, -0.77, -0.69, -0.61, -0.53, -0.46, -0.39, -0.32, -0.25, -0.18, -0.12], [-1.83, -1.72, -1.61, -1.51, -1.41, -1.31, -1.21, -1.12, -1.03, -0.94, -0.85, -0.77, -0.69, -0.61, -0.53, -0.46, -0.39, -0.32, -0.25, -0.18], [-1.98, -1.87, -1.76, -1.66, -1.56, -1.46, -1.36, -1.27, -1.18, -1.09, -1. , -0.91, -0.83, -0.75, -0.67, -0.59, -0.52, -0.44, -0.37, -0.31], [-2.17, -2.05, -1.95, -1.84, -1.74, -1.64, -1.54, -1.45, -1.35, -1.26, -1.17, -1.08, -0.99, -0.91, -0.83, -0.75, -0.67, -0.6 , -0.53, -0.46], [-2.38, -2.26, -2.15, -2.05, -1.94, -1.84, -1.74, -1.64, -1.55, -1.45, -1.36, -1.27, -1.18, -1.1 , -1.01, -0.93, -0.85, -0.78, -0.7 , -0.63], [-2.61, -2.5 , -2.39, -2.28, -2.17, -2.07, -1.97, -1.87, -1.77, -1.68, -1.58, -1.49, -1.4 , -1.31, -1.22, -1.14, -1.06, -0.98, -0.91, -0.83], [-2.89, -2.77, -2.66, -2.55, -2.44, -2.33, -2.23, -2.13, -2.03, -1.93, -1.83, -1.74, -1.64, -1.55, -1.46, -1.38, -1.29, -1.21, -1.13, -1.06], [-3.2 , -3.08, -2.96, -2.85, -2.73, -2.62, -2.51, -2.41, -2.31, -2.2 , -2.1 , -2.01, -1.91, -1.82, -1.72, -1.63, -1.55, -1.46, -1.38, -1.3 ], [-3.56, -3.43, -3.3 , -3.18, -3.06, -2.94, -2.82, -2.71, -2.6 , -2.49, -2.39, -2.29, -2.19, -2.09, -1.99, -1.9 , -1.81, -1.72, -1.64, -1.56], [-3.96, -3.81, -3.67, -3.53, -3.39, -3.26, -3.14, -3.02, -2.9 , -2.78, -2.67, -2.57, -2.46, -2.36, -2.26, -2.16, -2.07, -1.97, -1.88, -1.8 ], [-4.37, -4.2 , -4.04, -3.88, -3.73, -3.59, -3.45, -3.32, -3.19, -3.07, -2.95, -2.83, -2.72, -2.61, -2.51, -2.4 , -2.31, -2.21, -2.12, -2.03]]), SA(0.2): array([[-0.71, -0.57, -0.46, -0.35, -0.25, -0.15, -0.06, 0.02, 0.1 , 0.18, 0.25, 0.32, 0.39, 0.46, 0.53, 0.59, 0.65, 0.72, 0.78, 0.84], [-0.82, -0.69, -0.57, -0.46, -0.36, -0.26, -0.17, -0.09, -0.01, 0.07, 0.14, 0.22, 0.29, 0.35, 0.42, 0.48, 0.55, 0.61, 0.67, 0.73], [-0.93, -0.8 , -0.68, -0.57, -0.47, -0.38, -0.29, -0.2 , -0.12, -0.04, 0.03, 0.11, 0.18, 0.25, 0.31, 0.38, 0.44, 0.5 , 0.56, 0.63], [-1.05, -0.92, -0.8 , -0.69, -0.59, -0.49, -0.4 , -0.32, -0.23, -0.15, -0.08, 0. , 0.07, 0.14, 0.2 , 0.27, 0.33, 0.4 , 0.46, 0.52], [-1.17, -1.04, -0.92, -0.81, -0.71, -0.61, -0.52, -0.44, -0.35, -0.27, -0.19, -0.12, -0.05, 0.02, 0.09, 0.16, 0.22, 0.29, 0.35, 0.41], [-1.3 , -1.17, -1.05, -0.94, -0.84, -0.74, -0.65, -0.56, -0.47, -0.39, -0.31, -0.24, -0.16, -0.09, -0.02, 0.04, 0.11, 0.17, 0.24, 0.3 ], [-1.43, -1.3 , -1.18, -1.07, -0.97, -0.87, -0.77, -0.69, -0.6 , -0.52, -0.44, -0.36, -0.28, -0.21, -0.14, -0.07, -0.01, 0.06, 0.12, 0.18], [-1.57, -1.44, -1.32, -1.21, -1.1 , -1. , -0.91, -0.82, -0.73, -0.65, -0.56, -0.49, -0.41, -0.34, -0.27, -0.2 , -0.13, -0.06, 0. , 0.06], [-1.72, -1.58, -1.46, -1.35, -1.25, -1.15, -1.05, -0.96, -0.87, -0.78, -0.7 , -0.62, -0.54, -0.47, -0.39, -0.32, -0.25, -0.19, -0.12, -0.06], [-1.82, -1.68, -1.56, -1.45, -1.34, -1.24, -1.14, -1.05, -0.96, -0.87, -0.79, -0.7 , -0.63, -0.55, -0.47, -0.4 , -0.33, -0.26, -0.2 , -0.13], [-1.88, -1.74, -1.62, -1.51, -1.4 , -1.3 , -1.2 , -1.1 , -1.01, -0.92, -0.84, -0.75, -0.67, -0.59, -0.52, -0.44, -0.37, -0.3 , -0.24, -0.17], [-1.95, -1.82, -1.69, -1.58, -1.47, -1.37, -1.27, -1.17, -1.08, -0.99, -0.9 , -0.81, -0.73, -0.65, -0.57, -0.5 , -0.42, -0.35, -0.28, -0.22], [-2.08, -1.94, -1.82, -1.7 , -1.59, -1.49, -1.39, -1.29, -1.2 , -1.11, -1.02, -0.93, -0.84, -0.76, -0.68, -0.6 , -0.53, -0.45, -0.38, -0.32], [-2.23, -2.09, -1.97, -1.85, -1.74, -1.64, -1.53, -1.44, -1.34, -1.25, -1.15, -1.06, -0.98, -0.89, -0.81, -0.73, -0.65, -0.58, -0.51, -0.44], [-2.4 , -2.26, -2.13, -2.01, -1.9 , -1.8 , -1.7 , -1.6 , -1.5 , -1.4 , -1.31, -1.22, -1.13, -1.04, -0.96, -0.88, -0.8 , -0.72, -0.65, -0.58], [-2.58, -2.44, 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MAGS = array([4.4, 4.6, 4.8, 5. , 5.2, 5.4, 5.6, 5.8, 6. , 6.2, 6.4, 6.6, 6.8, 7. , 7.2, 7.4, 7.6, 7.8, 8. , 8.2])

PGA_TBL = array([[-0.71, -0.62, -0.53, -0.44, -0.36, -0.29, -0.21, -0.14, -0.07, 0. , 0.06, 0.12, 0.19, 0.25, 0.31, 0.37, 0.43, 0.49, 0.54, 0.6 ], [-0.84, -0.75, -0.66, -0.57, -0.49, -0.41, -0.33, -0.26, -0.19, -0.12, -0.05, 0.01, 0.07, 0.14, 0.2 , 0.26, 0.32, 0.38, 0.43, 0.49], [-0.98, -0.88, -0.79, -0.7 , -0.62, -0.53, -0.46, -0.38, -0.31, -0.24, -0.17, -0.1 , -0.04, 0.02, 0.08, 0.14, 0.2 , 0.26, 0.32, 0.38], [-1.12, -1.02, -0.93, -0.84, -0.75, -0.66, -0.58, -0.51, -0.43, -0.36, -0.29, -0.22, -0.16, -0.1 , -0.03, 0.03, 0.09, 0.15, 0.21, 0.27], [-1.27, -1.17, -1.07, -0.98, -0.89, -0.8 , -0.72, -0.64, -0.56, -0.49, -0.42, -0.35, -0.28, -0.22, -0.15, -0.09, -0.03, 0.03, 0.09, 0.15], [-1.43, -1.32, -1.22, -1.13, -1.03, -0.94, -0.86, -0.78, -0.7 , -0.62, -0.55, -0.48, -0.41, -0.34, -0.28, -0.22, -0.15, -0.09, -0.03, 0.03], [-1.59, -1.48, -1.38, -1.28, -1.19, -1.09, -1.01, -0.92, -0.84, -0.76, -0.69, -0.61, -0.54, -0.48, -0.41, -0.35, -0.28, -0.22, -0.16, -0.1 ], [-1.76, -1.65, -1.54, -1.44, -1.35, -1.25, -1.16, -1.07, -0.99, -0.91, -0.83, -0.76, -0.69, -0.62, -0.55, -0.48, -0.42, -0.35, -0.29, -0.23], [-1.93, -1.82, -1.72, -1.61, -1.51, -1.42, -1.33, -1.24, -1.15, -1.07, -0.99, -0.91, -0.83, -0.76, -0.69, -0.63, -0.56, -0.5 , -0.43, -0.37], [-2.07, -1.95, -1.84, -1.74, -1.64, -1.54, -1.44, -1.35, -1.26, -1.18, -1.1 , -1.02, -0.94, -0.86, -0.79, -0.72, -0.65, -0.59, -0.53, -0.46], [-2.17, -2.05, -1.94, -1.83, -1.73, -1.63, -1.53, -1.43, -1.34, -1.25, -1.17, -1.09, -1.01, -0.93, -0.86, -0.78, -0.71, -0.65, -0.58, -0.52], [-2.28, -2.16, -2.04, -1.93, -1.83, -1.72, -1.62, -1.53, -1.43, -1.34, -1.25, -1.17, -1.09, -1.01, -0.93, -0.86, -0.78, -0.71, -0.65, -0.58], [-2.44, -2.32, -2.2 , -2.09, -1.98, -1.87, -1.77, -1.67, -1.58, -1.48, -1.39, -1.3 , -1.22, -1.14, -1.06, -0.98, -0.91, -0.83, -0.77, -0.7 ], [-2.63, -2.5 , -2.38, -2.26, -2.15, -2.04, -1.94, -1.84, -1.74, -1.64, -1.55, -1.46, -1.37, -1.29, -1.2 , -1.12, -1.05, -0.97, -0.9 , -0.83], [-2.83, -2.7 , -2.57, -2.45, -2.34, -2.23, -2.12, -2.01, -1.91, -1.81, -1.72, -1.62, -1.53, -1.45, -1.36, -1.28, -1.2 , -1.12, -1.05, -0.98], [-3.05, -2.92, -2.78, -2.66, -2.54, -2.42, -2.31, -2.2 , -2.1 , -2. , -1.9 , -1.8 , -1.71, -1.62, -1.53, -1.45, -1.36, -1.28, -1.21, -1.13], [-3.29, -3.15, -3.01, -2.88, -2.75, -2.63, -2.52, -2.41, -2.3 , -2.19, -2.09, -1.99, -1.9 , -1.8 , -1.71, -1.62, -1.54, -1.46, -1.38, -1.3 ], [-3.55, -3.4 , -3.25, -3.11, -2.98, -2.86, -2.74, -2.62, -2.51, -2.4 , -2.3 , -2.19, -2.09, -2. , -1.9 , -1.81, -1.72, -1.64, -1.56, -1.48], [-3.84, -3.67, -3.52, -3.37, -3.23, -3.1 , -2.97, -2.85, -2.73, -2.62, -2.51, -2.41, -2.3 , -2.2 , -2.1 , -2.01, -1.92, -1.83, -1.74, -1.66], [-4.15, -3.97, -3.8 , -3.65, -3.5 , -3.36, -3.22, -3.09, -2.97, -2.85, -2.74, -2.63, -2.52, -2.42, -2.31, -2.22, -2.12, -2.03, -1.94, -1.85], [-4.48, -4.29, -4.11, -3.94, -3.78, -3.63, -3.49, -3.35, -3.22, -3.1 ,