Source code for openquake.hazardlib.scalerel.wc1994

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2012-2018 GEM Foundation
#
# OpenQuake is free software: you can redistribute it and/or modify it
# under the terms of the GNU Affero General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# OpenQuake is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with OpenQuake. If not, see <http://www.gnu.org/licenses/>.

"""
Module :mod:`openquake.hazardlib.scalerel.wc1994` implements :class:`WC1994`.
"""
from math import log10
from openquake.hazardlib.scalerel.base import BaseMSRSigma, BaseASRSigma


[docs]class WC1994(BaseMSRSigma, BaseASRSigma): """ 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. """
[docs] def get_median_area(self, mag, rake): """ The values are a function of both magnitude and rake. Setting the rake to ``None`` causes their "All" rupture-types to be applied. """ assert rake is None or -180 <= rake <= 180 if rake is None: # their "All" case return 10.0 ** (-3.49 + 0.91 * mag) elif (-45 <= rake <= 45) or (rake >= 135) or (rake <= -135): # strike slip return 10.0 ** (-3.42 + 0.90 * mag) elif rake > 0: # thrust/reverse return 10.0 ** (-3.99 + 0.98 * mag) else: # normal return 10.0 ** (-2.87 + 0.82 * mag)
[docs] def get_std_dev_area(self, mag, rake): """ Standard deviation for WC1994. Magnitude is ignored. """ assert rake is None or -180 <= rake <= 180 if rake is None: # their "All" case return 0.24 elif (-45 <= rake <= 45) or (rake >= 135) or (rake <= -135): # strike slip return 0.22 elif rake > 0: # thrust/reverse return 0.26 else: # normal return 0.22
[docs] def get_std_dev_mag(self, rake): """ Standard deviation on the magnitude for the WC1994 area relation. """ assert rake is None or -180 <= rake <= 180 if rake is None: # their "All" case return 0.24 elif (-45 <= rake <= 45) or (rake >= 135) or (rake <= -135): # strike slip return 0.23 elif rake > 0: # thrust/reverse return 0.25 else: # normal return 0.25
[docs] def get_median_mag(self, area, rake): """ Return magnitude (Mw) given the area and rake. Setting the rake to ``None`` causes their "All" rupture-types to be applied. :param area: Area in square km. :param rake: Rake angle (the rupture propagation direction) in degrees, from -180 to 180. """ assert rake is None or -180 <= rake <= 180 if rake is None: # their "All" case return 4.07 + 0.98 * log10(area) elif (-45 <= rake <= 45) or (rake > 135) or (rake < -135): # strike slip return 3.98 + 1.02 * log10(area) elif rake > 0: # thrust/reverse return 4.33 + 0.90 * log10(area) else: # normal return 3.93 + 1.02 * log10(area)