Source code for openquake.hazardlib.gsim.bommer_2009

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"""
Module exports :class:`BommerEtAl2009RSD`
"""
import numpy as np

from openquake.hazardlib.gsim.base import CoeffsTable, GMPE
from openquake.hazardlib import const
from openquake.hazardlib.imt import RSD595, RSD575


[docs]class BommerEtAl2009RSD(GMPE): """ Implements the GMPE of Bommer et al. (2009) for significant duration with 5 - 75 % Arias Intensity and 5 - 95 % Arias Intensity """ #: Supported tectonic region type is active shallow crust DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST #: Supported intensity measure types are 5 - 95 % Arias and 5 - 75 % Arias #: significant duration DEFINED_FOR_INTENSITY_MEASURE_TYPES = set([ RSD595, RSD575 ]) #: Supported intensity measure component is the geometric mean horizontal #: component DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL #: Supported standard deviation type is only total, see table 7, page 35 DEFINED_FOR_STANDARD_DEVIATION_TYPES = set([ const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT ]) #: Requires vs30 REQUIRES_SITES_PARAMETERS = {'vs30'} #: Required rupture parameters are magnitude and top of rupture depth REQUIRES_RUPTURE_PARAMETERS = {'mag', 'ztor'} #: Required distance measure is closest distance to rupture REQUIRES_DISTANCES = {'rrup'}
[docs] def get_mean_and_stddevs(self, sites, rup, dists, imt, stddev_types): """ See :meth:`superclass method <.base.GroundShakingIntensityModel.get_mean_and_stddevs>` for spec of input and result values. """ C = self.COEFFS[imt] mean = (self.get_magnitude_term(C, rup.mag) + self.get_distance_term(C, dists.rrup, rup.mag) + self.get_ztor_term(C, rup.ztor) + self.get_site_amplification(C, sites.vs30)) stddevs = self.get_stddevs(C, dists.rrup.shape, stddev_types) return mean, stddevs
[docs] def get_magnitude_term(self, C, mag): """ Returns linear magnitude scaling term """ return C["c0"] + C["m1"] * mag
[docs] def get_distance_term(self, C, rrup, mag): """ Returns distance scaling term """ return (C["r1"] + C["r2"] * mag) *\ np.log(np.sqrt(rrup ** 2. + C["h1"] ** 2.))
[docs] def get_ztor_term(self, C, ztor): """ Returns depth to top of rupture scaling """ return C["z1"] * ztor
[docs] def get_site_amplification(self, C, vs30): """ Returns linear site amplification term """ return C["v1"] * np.log(vs30)
[docs] def get_stddevs(self, C, nsites, stddev_types): """ Returns the standard deviations """ stddevs = [] zeros_array = np.zeros(nsites) for stddev in stddev_types: assert stddev in self.DEFINED_FOR_STANDARD_DEVIATION_TYPES if stddev == const.StdDev.TOTAL: stddevs.append(np.sqrt(C["tau"] ** 2. + C["phi"] ** 2.) + zeros_array) elif stddev == const.StdDev.INTER_EVENT: stddevs.append(C["tau"] + zeros_array) elif stddev == const.StdDev.INTRA_EVENT: stddevs.append(C["phi"] + zeros_array) return stddevs
COEFFS = CoeffsTable(sa_damping=5, table="""\ imt c0 m1 r1 r2 h1 v1 z1 tau phi rsd575 -5.6298 1.2619 2.0063 -0.2520 2.3316 -0.2900 -0.0522 0.3527 0.4304 rsd595 -2.2393 0.9368 1.5686 -0.1953 2.5000 -0.3478 -0.0365 0.3252 0.3460 """)