Source code for openquake.hazardlib.gsim.drouet_2015_brazil

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2015-2022 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 exports :class:`DrouetBrazil2015`
               :class:`DrouetBrazil2015_with_depth`
"""
import numpy as np

from openquake.baselib.general import CallableDict
from openquake.hazardlib.gsim.base import CoeffsTable, GMPE
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, PGV, SA
from scipy.constants import g


_compute_distance_term = CallableDict()


@_compute_distance_term.add(False)
def _compute_distance_term_1(depth, C, ctx, rjb):
    """
    This computes the term f2 equation 8 Drouet & Cotton (2015)
    """
    return (C['c4'] + C['c5'] * ctx.mag) * np.log(
        np.sqrt(rjb ** 2. + C['c6'] ** 2.)) + C['c7'] * rjb


@_compute_distance_term.add(True)
def _compute_distance_term_2(depth, C, ctx, rjb):
    """
    This computes the term f2 equation 8 Drouet & Cotton (2015)
    """
    return (C['c4'] + C['c5'] * ctx.mag) * np.log(
        np.sqrt(rjb ** 2. + ctx.hypo_depth ** 2.)) + C['c6'] * rjb


def _compute_magnitude_term(C, ctx):
    """
    This computes the term f1 equation 8 Drouet & Cotton (2015)
    """
    return C['c2'] * (ctx.mag - 8.0) + C['c3'] * (ctx.mag - 8.0) ** 2


def _compute_mean(depth, C, ctx, rjb):
    """
    Compute mean value according to equation 30, page 1021.
    """
    mean = (C['c1'] +
            _compute_magnitude_term(C, ctx) +
            _compute_distance_term(depth, C, ctx, rjb))
    return mean


[docs]class DrouetBrazil2015(GMPE): """ Implements GMPE developed by S. Drouet unpublished for Brazil based on the method described in Douet & Cotton (2015) BSSA doi: 10.1785/0120140240. """ #: Supported tectonic region type is stable continental crust given that #: the equations have been derived for Eastern North America. DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.STABLE_CONTINENTAL #: 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_INTENSITY_MEASURE_TYPES = {PGA, PGV, SA} #: Supported intensity measure component is the geometric mean of #: two horizontal components #: :attr:`~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL`, DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL #: Supported standard deviation type is only total, see equation 35, page #: 1021 DEFINED_FOR_STANDARD_DEVIATION_TYPES = { const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT} #: No site parameters are needed REQUIRES_SITES_PARAMETERS = set() #: Required rupture parameter is only magnitude, see equation 30 page #: 1021. REQUIRES_RUPTURE_PARAMETERS = {'mag'} #: Required distance measure is closest distance to rupture, see equation #: 30 page 1021. REQUIRES_DISTANCES = {'rjb'}
[docs] def compute(self, ctx, imts, mean, sig, tau, phi): """ See :meth:`superclass method <.base.GroundShakingIntensityModel.compute>` for spec of input and result values. """ for m, imt in enumerate(imts): C = self.COEFFS[imt] depth = "hypo_depth" in self.REQUIRES_RUPTURE_PARAMETERS mean[m] = _compute_mean(depth, C, ctx, ctx.rjb) if imt.string.startswith(('PGA', 'SA')): # from m/s**2 to g mean[m] -= np.log(g) elif imt.string == "PGV": # Convert from m/s to cm/s mean[m] += np.log(100.0) sig[m] = np.sqrt(C['sigma'] ** 2 + C['tau'] ** 2) phi[m] = C['sigma'] tau[m] = C['tau']
#: Coefficient tables are constructed from the electronic suplements of #: the original paper. COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c3 c4 c5 c6 c7 sigma tau pgv 0.457169 0.230048 -0.140795 -1.785544 0.162408 7.201555 -0.002832 0.526166 0.393025 pga 2.575109 -0.243140 -0.155164 -1.807995 0.156084 7.629410 -0.003996 0.625075 0.481226 0.010 2.586201 -0.242271 -0.154703 -1.808695 0.156141 7.623170 -0.004020 0.630187 0.481707 0.020 2.717172 -0.261739 -0.152580 -1.859646 0.160136 7.773640 -0.004048 0.688591 0.486003 0.030 2.930319 -0.236637 -0.147729 -1.831982 0.155727 7.918015 -0.004558 0.751663 0.490319 0.040 3.156209 -0.266436 -0.143032 -1.915769 0.162181 8.224381 -0.004350 0.779379 0.498289 0.050 3.268731 -0.189794 -0.140262 -1.753521 0.144779 7.767181 -0.004910 0.780218 0.497182 0.075 3.352582 -0.164010 -0.140254 -1.691894 0.140095 7.428414 -0.004756 0.706350 0.493511 0.100 3.455122 -0.203575 -0.148680 -1.708867 0.139700 7.707583 -0.004261 0.652456 0.490010 0.150 3.456514 -0.169395 -0.160434 -1.607720 0.131021 7.274064 -0.004025 0.587130 0.480912 0.200 3.480893 -0.155262 -0.168476 -1.646459 0.132556 7.424609 -0.002871 0.556933 0.462619 0.250 3.358985 -0.255601 -0.194574 -1.669187 0.134462 7.753731 -0.002732 0.533650 0.458696 0.300 3.115954 -0.237559 -0.215762 -1.451276 0.114182 7.212529 -0.003761 0.526336 0.452876 0.400 2.806835 -0.340296 -0.250121 -1.418762 0.114054 6.837724 -0.004081 0.519411 0.440790 0.500 2.837393 -0.355473 -0.271003 -1.453916 0.111753 7.298391 -0.003037 0.512892 0.427910 0.750 2.383076 -0.374649 -0.298428 -1.472297 0.117984 7.051676 -0.002899 0.507442 0.405868 1.000 2.070536 -0.263869 -0.303220 -1.410898 0.117144 6.815268 -0.003307 0.511352 0.384417 1.250 1.944386 -0.196142 -0.309115 -1.408815 0.116519 6.904435 -0.003017 0.511909 0.376152 1.500 1.973072 -0.160616 -0.313180 -1.493457 0.122469 7.427893 -0.002316 0.511871 0.370833 1.750 1.747518 -0.129961 -0.320672 -1.400692 0.116855 7.143261 -0.003402 0.508641 0.361738 2.000 1.667278 -0.083863 -0.319818 -1.405853 0.114769 7.128404 -0.003174 0.505025 0.353357 3.000 1.292331 0.312316 -0.263539 -1.464213 0.130085 6.416692 -0.002621 0.512370 0.344082 """)
[docs]class DrouetBrazil2015withDepth(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 """ #: Required rupture parameter is only magnitude, see equation 30 page #: 1021. REQUIRES_RUPTURE_PARAMETERS = {'mag', 'hypo_depth'} #: Coefficient tables are constructed from the electronic supplements of #: the original paper. COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c3 c4 c5 c6 sigma tau pgv 1.296890 0.307642 -0.155927 -1.727495 0.128331 -0.002079 0.507600 0.474106 pga 3.393123 -0.139286 -0.169796 -1.695729 0.116686 -0.003491 0.609317 0.573384 0.010000 3.405471 -0.138584 -0.169352 -1.696947 0.116766 -0.003513 0.614578 0.574138 0.020000 3.512058 -0.152120 -0.167461 -1.725659 0.119114 -0.003688 0.674715 0.580870 0.030000 3.695045 -0.123957 -0.162204 -1.688566 0.114624 -0.004259 0.738161 0.585416 0.040000 3.856703 -0.140850 -0.157819 -1.721169 0.117496 -0.004400 0.768733 0.597967 0.050000 4.085005 -0.080044 -0.155124 -1.628430 0.103907 -0.004434 0.766573 0.593676 0.075000 4.242841 -0.056117 -0.154044 -1.601802 0.100823 -0.004025 0.691819 0.587975 0.100000 4.278594 -0.087360 -0.162257 -1.582776 0.098667 -0.003803 0.638952 0.582946 0.150000 4.358265 -0.063108 -0.173452 -1.530628 0.092988 -0.003244 0.572059 0.565676 0.200000 4.385790 -0.041305 -0.181717 -1.553364 0.092537 -0.002134 0.539692 0.543338 0.250000 4.162408 -0.135372 -0.207677 -1.531599 0.092853 -0.002369 0.520273 0.534858 0.300000 3.991746 -0.134064 -0.227479 -1.386035 0.078380 -0.002944 0.511192 0.519484 0.400000 3.746791 -0.248433 -0.261965 -1.396553 0.080903 -0.002965 0.502079 0.499394 0.500000 3.728968 -0.246365 -0.282618 -1.384885 0.074963 -0.002185 0.495203 0.483281 0.750000 3.298203 -0.278081 -0.310518 -1.431361 0.083594 -0.001906 0.488881 0.452970 1.000000 2.966504 -0.185734 -0.315139 -1.405592 0.087333 -0.002169 0.492014 0.426399 1.250000 2.810007 -0.117505 -0.320881 -1.394705 0.086834 -0.001981 0.493565 0.416078 1.500000 2.760153 -0.068911 -0.325231 -1.426076 0.089344 -0.001624 0.494063 0.410019 1.750000 2.538491 -0.052014 -0.332247 -1.367936 0.087458 -0.002541 0.491032 0.398572 2.000000 2.485648 -0.001655 -0.331560 -1.370772 0.084286 -0.002297 0.487175 0.392599 3.000000 2.205128 0.365128 -0.276508 -1.504904 0.104957 -0.001304 0.492143 0.384311 """)