Area-magnitude scaling relationships¶
Package openquake.hazardlib.scalerel
contains base classes and
implementations of magnitude-area and area-magnitude scaling relationships.
Wells and Coppersmith¶
Module openquake.hazardlib.scalerel.wc1994
implements WC1994
.
-
class
openquake.hazardlib.scalerel.wc1994.
WC1994
[source]¶ Wells and Coppersmith magnitude – rupture area relationships, see 1994, Bull. Seism. Soc. Am., pages 974-2002.
Implements both magnitude-area and area-magnitude scaling relationships.
-
get_median_area
(mag, rake)[source]¶ The values are a function of both magnitude and rake.
Setting the rake to
None
causes their “All” rupture-types to be applied.
-
CEUS SSC¶
Module openquake.hazardlib.scalerel.ceus2011
implements
CEUS2011
.
Leonard (2014)¶
Module openquake.hazardlib.scalerel.leonard2014
implements
Leonard2014_SCR
Leonard2014_Interplate
-
class
openquake.hazardlib.scalerel.leonard2014.
Leonard2014_Interplate
[source]¶ Leonard, M., 2014. Self-consistent earthquake fault-scaling relations: Update and extension to stable continental strike-slip faults. Bulletin of the Seismological Society of America, 104(6), pp 2953-2965.
Implements both magnitude-area and area-magnitude scaling relationships.
-
class
openquake.hazardlib.scalerel.leonard2014.
Leonard2014_SCR
[source]¶ Leonard, M., 2014. Self-consistent earthquake fault-scaling relations: Update and extension to stable continental strike-slip faults. Bulletin of the Seismological Society of America, 104(6), pp 2953-2965.
Implements both magnitude-area and area-magnitude scaling relationships.
Peer¶
Module openquake.hazardlib.scalerel.peer
implements PeerMSR
.
Point¶
Module openquake.hazardlib.scalerel.point
implements PointMSR
.
-
class
openquake.hazardlib.scalerel.point.
PointMSR
[source]¶ Implements magnitude-area scaling relationship to mimic point ruptures. Independently of the magnitude value, this scaling relationship returns always a very small value (1e-4 squared km, corresponding to a 10 by 10 m square) for the median area.
NOTE: This scaling-relationship is meant to be used in area and point sources to mimic point ruptures. Is not intended to be used in fault sources, as it would require a fault surface discretization step to small (less than 10 m, using an aspect ratio equal to 1) which is unfeasible for realistic applications.
Strasser et al. 2010¶
Module openquake.hazardlib.scalerel.strasser2010
implements
StrasserInterface
, StrasserIntraslab
.
-
class
openquake.hazardlib.scalerel.strasser2010.
StrasserInterface
[source]¶ Strasser, Arango and Bommer magnitude – rupture area relationships for interface events.
See F. O. Strasser, M. C. Arango, and J. J. Bommer Scaling of the Source Dimensions of Interface and Intraslab Subduction-zone Earthquakes with Moment Magnitude Seismological Research Letters, November/December 2010, v. 81, p. 941-950, doi:10.1785/gssrl.81.6.941
Implements both magnitude-area and area-magnitude scaling relationships.
-
get_median_area
(mag, rake)[source]¶ Calculates median areas as 10** (a + b*mag). The values are a function of magnitude. Rake is ignored.
-
get_median_mag
(area, rake)[source]¶ Return magnitude (Mw) given the area Rake is ignored.
Parameters: area – Area in square km.
-
-
class
openquake.hazardlib.scalerel.strasser2010.
StrasserIntraslab
[source]¶ Strasser, Arango and Bommer magnitude – rupture area relationships for intraslab events.
See F. O. Strasser, M. C. Arango, and J. J. Bommer Scaling of the Source Dimensions of Interface and Intraslab Subduction-zone Earthquakes with Moment Magnitude Seismological Research Letters, November/December 2010, v. 81, p. 941-950, doi:10.1785/gssrl.81.6.941
Implements both magnitude-area and area-magnitude scaling relationships.
-
get_median_area
(mag, rake)[source]¶ Calculates median areas as 10** (a + b*mag). The values are a function of magnitude. Rake is ignored.
-
get_median_mag
(area, rake)[source]¶ Return magnitude (Mw) given the area Rake is ignored.
Parameters: area – Area in square km.
-
Wells and Coppersmith - Queen Charlotte Strike-Slip¶
Module openquake.hazardlib.scalerel.wc1994_qcss
implements
WC1994_QCSS
.
-
class
openquake.hazardlib.scalerel.wc1994_qcss.
WC1994_QCSS
[source]¶ Local modification of WC1994 to mimic behaviour of GSCFRISK code for the Queen Charlotte Strike-Slip (QCSS) fault based on rupture length for the 2015 Seismic Hazard Model of Canada as documented in Adams, J., S. Halchuk, T. Allen, and G. Rogers (2015). Canada’s 5th Generation seismic hazard model, as prepared for the 2015 National Building Code of Canada, 11th Canadian Conference on Earthquake Engineering, Victoria, Canada, Paper 93775.
Implements magnitude-length scaling relationship for strike-slip faults
Coefficents taken from Table 2A (P990) of Wells, D. L., and K. J. Coppersmith (1994). New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement, Bull. Seism. Soc. Am. 84, 974-1002.
Geological Survey or Canada Offshore Thrusts¶
Rupture scaling models as used for the 2015 Seismic Hazard Model of Canada, as described in Adams, J., S. Halchuk, T. Allen, and G. Rogers (2015). Canada’s 5th Generation seismic hazard model, as prepared for the 2015 National Building Code of Canada, 11th Canadian Conference on Earthquake Engineering, Victoria, Canada, Paper 93775.
Module openquake.hazardlib.scalerel.gsc_offshore_thrusts
implements
GSCCascadia
GSCEISO
GSCEISB
GSCEISI
GSCOffshoreThrustsWIN
GSCOffshoreThrustsHGT
.
-
class
openquake.hazardlib.scalerel.gsc_offshore_thrusts.
GSCCascadia
[source]¶ Implements magnitude-area scaling relationship for the Juan de Fuca segment of the Cascadia subduction zone.
Parameters: SEIS_WIDTH – Hard-wired seismogenic width of the CIS source (125 km)
-
class
openquake.hazardlib.scalerel.gsc_offshore_thrusts.
GSCEISB
[source]¶ Implements magnitude-area scaling relationship for best estimate landward extent of rupture (22 km depth) for the Explorer segment of the Cascadia subduction zone with an upper seismogenic depth of 5 km and a dip of 18 degrees.
-
class
openquake.hazardlib.scalerel.gsc_offshore_thrusts.
GSCEISI
[source]¶ Implements magnitude-area scaling relationship for the inboard estimate of rupture (28 km depth) for the Explorer segment of the Cascadia subduction zone with an upper seismogenitc depth of 5 km and a dip of 18 degrees.
-
class
openquake.hazardlib.scalerel.gsc_offshore_thrusts.
GSCEISO
[source]¶ Implements magnitude-area scaling relationship for the outboard estimate of rupture (16 km depth) for the Explorer segment of the Cascadia subduction zone with an upper seismogenic depth of 5 km and a dip of 18 degrees.
-
class
openquake.hazardlib.scalerel.gsc_offshore_thrusts.
GSCOffshoreThrustsHGT
[source]¶ Implements magnitude-area scaling relationship that is approximately scaled to give a rupture length of 300 km for a MW 8 earthquake and fit the rupture length of the M7.8 2012 Haida Gwaii earthquake. Ruptures assume an upper and lower seismogenitc depth of 3 km and 22 km, respectively, with a dip of 25 degrees.
-
class
openquake.hazardlib.scalerel.gsc_offshore_thrusts.
GSCOffshoreThrustsWIN
[source]¶ Implements magnitude-area scaling relationship for the Winona segment of the Jan de Fuca subduction zone that is approximately scaled to give a rupture length of 300 km for a MW 8 earthquake and fit the rupture length of the M7.8 2012 Haida Gwaii earthquake. Ruptures assume an upper and lower seismogenic depth of 2 km and 5 km respectively, with a dip of 15 degrees.
Abstract base relationship¶
Module openquake.hazardlib.scalerel.base
defines abstract base
classes for ASR
, MSR
,
ASRSigma
, and MSRSigma
-
class
openquake.hazardlib.scalerel.base.
BaseASR
[source]¶ A base class for Area-Magnitude Scaling Relationship. Allows calculation of rupture magnitude from area.
-
class
openquake.hazardlib.scalerel.base.
BaseASRSigma
[source]¶ Extend
BaseASR
and allows to include uncertainties (sigma) in rupture magnitude estimation.
-
class
openquake.hazardlib.scalerel.base.
BaseMSR
[source]¶ A base class for Magnitude-Area Scaling Relationship. Allows calculation of rupture area from magnitude.