Kanno et al. 2006

class openquake.hazardlib.gsim.kanno_2006.Kanno2006Shallow

Implements GMPE of Kanno et al. (2006) for shallow events based on data predominantly from Japan.

Note that “both crustal and subduction interface events fall into the category of shallow events” (p. 883) where “shallow” is defined as “focal depth of 30 km or less” (p. 895).

Verification of mean value data was performed against a test vector kindly provided by the lead author.

Reference

Page number citations in this documentation refer to:

Kanno, T., Narita, A., Morikawa, N., Fujiwara, H., and Fukushima, Y. (2006). A new attenuation relation for strong ground motion in Japan based on recorded data. Bull. Seism. Soc. Am. 96(3):879–897.

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

Coefficients obtained from author via personal communcation with slightly more precision than Table 3, p. 884.

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

Coefficients obtained from author via personal communcation with slightly more precision Table 5, p. 888.

CONSTS = {'e': 0.5}

“coefficient e_1 = 0.5 was selected for all periods in the present study.” (p. 881)

DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = 'Peak square root of sum of squares of horizontals'

“The peak value is the peak square root of the sum of squares of two orthogonal horizontal components in the time domain” (p. 880)

DEFINED_FOR_INTENSITY_MEASURE_TYPES = set([<class 'openquake.hazardlib.imt.PGA'>, <class 'openquake.hazardlib.imt.SA'>, <class 'openquake.hazardlib.imt.PGV'>])

“regression coefficients for the base model in equations (5) and (6) for PGA , PGV , and 5% damped response spectral acceleration are given” (p. 883)

DEFINED_FOR_STANDARD_DEVIATION_TYPES = set(['Total'])

Although interevent and intraevent residuals are separately discussed in the context of focal depth and site conditions, only the total standard deviation is tabulated.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction Interface'

This model is generally considered to be intended for subduction regions, but the authors do not constrain the type of event, only the depth: “both crustal and subduction interface events fall into the category of shallow events.” (p. 883)

REQUIRES_DISTANCES = set(['rrup'])

“The source distance is the closest distance from a fault plane to the observation site and is the hypocentral distance in the case of earthquakes for which the fault model is not available.” (p. 880)

REQUIRES_RUPTURE_PARAMETERS = set(['mag'])

Sole required rupture parameter is magnitude; faulting style is not addressed.

REQUIRES_SITES_PARAMETERS = set(['vs30'])

“Coefficients p and q were derived by regression analysis on the residuals averaged at intervals of every 100 m/sec in AVS30.” (p. 884)

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

See superclass method for specification of input and result values.

Implements the following equations:

Equation (5) on p. 881 predicts ground motion for shallow events (depth <= 30 km):

log(pre) = a*M + b*X - log(X + d*10^(e*M)) + c + epsilon

“where pre is the predicted PGA (cm/sec^2), PGV (cm/sec), or 5% damped response spectral acceleration (cm/sec^2)” (p. 883) and a, b, c and d are tabulated regression coefficients. Note that subscripts on the regression coeffients have been dropped - subscript 1 denoted “shallow” while subscript 2 denoted “deep” - so that the “deep” model of equation (6) can be implemented trivally by changing coefficients and setting d = 0.

Equation (8) on p. 883 gives the model used for site amplitfication:

G = p*log(VS30) + q

Where p and q are tabulated regression coefficients.

Equation (9) on p. 884 for the ground motion at a given site:

log(pre_G) = log(pre) + G

No adjustment of epsilon is made as a function of VS30.

Note finally that “log represents log_10 in the present study” (p. 880).

class openquake.hazardlib.gsim.kanno_2006.Kanno2006Deep

Implements GMPE of Kanno et al. (2006) for deep events based on data predominantly from Japan.

Deep events are defined as having “(focal depth of more than 30 km)” (p. 895).

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

Coefficients obtained from author via personal communcation with slightly more precision than Table 4, p. 884.

DEFINED_FOR_TECTONIC_REGION_TYPE = 'Subduction IntraSlab'

Although “only a slight difference can be seen between [shallow] crustal and subduction interface earthquakes ... the focal depth of the two types of events is comparatively shallower than that of slab events.” (p. 881)