Source code for openquake.hazardlib.gsim.boore_2020

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2021 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/>.
"""
Created on Mon May 24 21:19:41 2021
Authors: thimios.sokos@upatras.gr, laurentiu.danciu@sed.ethz.ch

Module exports :class:`BooreEtAl2020`
"""
import numpy as np

from openquake.hazardlib.gsim.base import GMPE, CoeffsTable
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, PGV, SA

CONSTS = {
    "Mref": 4.5,
    "Rref": 1.0,
    "Vref": 760.0}


def _get_inter_event_tau(C, mag):
    """
    Returns the inter-event standard deviation (tau), which is dependent
    on magnitude
    """
    magncof = (mag - C["Mtau1"]) / (C["Mtau2"] - C["Mtau1"])
    tau = C["tau1"] + (C["tau2"] - C["tau1"]) * magncof
    tau[mag <= C["Mtau1"]] = C["tau1"]
    tau[mag >= C["Mtau2"]] = C["tau2"]
    return tau


def _get_linear_site_term(C, vs30):
    """
    Returns the linear site scaling term (equation 6)
    """
    flin = np.ones_like(vs30)
    flin = flin*C["clin"] * np.log(C["Vc"]/CONSTS["Vref"])
    flin[vs30 <= C["V1"]] = C["clin"] * np.log(C["V1"] / CONSTS["Vref"])
    ok = (vs30 > C["V1"]) & (vs30 <= C["Vc"])
    flin[ok] = C["clin"] * np.log(vs30[ok] / C["Vref"])
    return flin


def _get_magnitude_scaling_term(C, rup):
    """
    Returns the magnitude scling term defined in equation (2)
    it is the same as Boore 2014
    """
    dmag = rup.mag - C["Mh"]
    mag_term = np.where(rup.mag <= C["Mh"],
                        C["e4"] * dmag + C["e5"] * dmag**2,
                        C["e6"] * dmag)
    return _get_style_of_faulting_term(C, rup) + mag_term


def _get_nonlinear_site_term(C, vs30, pga_rock):
    """
    Returns the nonlinear site scaling term (equation 7)
    """
    atmp = C["f5"] * (np.minimum(vs30, CONSTS["Vref"]) - 360.)
    f2 = C["f4"] * (np.exp(atmp) - np.exp(C["f5"] * (CONSTS["Vref"] - 360.)))
    fnl = C["f1"] + f2 * np.log(1.0 + pga_rock/C["f3"])
    return fnl


def _get_path_scaling(C, dists, mag):
    """
    Returns the path scaling term given by equation (3)
    """
    rval = np.sqrt(dists.rjb**2 + C["h"]**2)
    scaling = (C["c1"] + C["c2"] * (mag - CONSTS["Mref"])) * np.log(
        rval / CONSTS["Rref"])
    return scaling + (C["c3"] * (rval - CONSTS["Rref"]))


def _get_pga_on_rock(C, rup, dists):
    """
    Returns the median PGA on rock, which is a sum of the
    magnitude and distance scaling
    """
    return np.exp(_get_magnitude_scaling_term(C, rup) +
                  _get_path_scaling(C, dists, rup.mag))


def _get_site_scaling(C, pga_rock, sites):
    """
    Returns the site-scaling term (equation 5), broken down into a
    linear scaling and a nonlinear scaling
    """
    flin = _get_linear_site_term(C, sites.vs30)
    fnl = _get_nonlinear_site_term(C, sites.vs30, pga_rock)
    return flin + fnl


def _get_style_of_faulting_term(C, rup):
    """
    Get fault type dummy variables
    Fault type (Strike-slip, Normal, Thrust/reverse) is
    derived from rake angle.
    Rakes angles within 30 of horizontal are strike-slip,
    angles from 30 to 150 are reverse, and angles from
    -30 to -150 are normal.
    Note that the 'Unspecified' case is not considered here as
    rake is always given.
    what about bias (B) ??? it should be taken care here
    """
    res = np.full_like(rup.rake, C["e2"])
    res[(np.abs(rup.rake) <= 30) | ((180 - np.abs(rup.rake)) <= 30)] = C["e1"]
    res[(rup.rake > 30.0) & (rup.rake < 150)] = C["e3"]
    return res


[docs]class BooreEtAl2020(GMPE): """ Implements GMPE developed by David M. Boore, Jonathan P. Stewart, Andreas A. Skarlatoudis,Emel Seyhan, Basil Margaris, Nikos Theodoulidis,Emmanuel Scordilis, Ioannis Kalogeras,Nikolaos Klimis, and Nikolaos S. Melis, and published as "Ground-Motion Prediction Model for Shallow Crustal Earthquakes in Greece (2020, BSSA, ). implemented by thimios.sokos@upatras.gr & laurentiu.danciu@sed.ethz.ch """ #: Supported tectonic region type is active shallow crust DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST #: Supported intensity measure types are spectral acceleration, #: peak ground velocity and peak ground acceleration DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, PGV, SA} #: Supported intensity measure component is orientation-independent #: measure :attr:`~openquake.hazardlib.const.IMC.RotD50` DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.RotD50 #: Supported standard deviation types are inter-event, intra-event #: and total, see equation 2, pag 106. DEFINED_FOR_STANDARD_DEVIATION_TYPES = { const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT} #: Required site parameters is Vs30 REQUIRES_SITES_PARAMETERS = {'vs30'} #: Required rupture parameters are magnitude, and rake. REQUIRES_RUPTURE_PARAMETERS = {'mag', 'rake'} #: Required distance measure is Rjb REQUIRES_DISTANCES = {'rjb'}
[docs] def compute(self, ctx: np.recarray, imts, mean, sig, tau, phi): C_PGA = self.COEFFS[PGA()] pga_rock = _get_pga_on_rock(C_PGA, ctx, ctx) for m, imt in enumerate(imts): C = self.COEFFS[imt] mean[m] = (_get_magnitude_scaling_term(C, ctx) + _get_path_scaling(C, ctx, ctx.mag) + _get_site_scaling(C, pga_rock, ctx)) if imt.string != "PGV": mean[m] = np.log((np.exp(mean[m]) / 981.)) tau[m] = _get_inter_event_tau(C, ctx.mag) phi[m] = C['phi'] sig[:] = np.sqrt(tau**2 + phi**2)
COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT B e0 e1 e2 e3 e4 e5 e6 Mh c1 c2 c3 Mref Rref h clin V1 Vc Vref f1 f3 f4 f5 phi tau1 Mtau1 Mtau2 tau2 sigma_M_ge_6_0 pgv -4.31371E-01 4.99652E+00 5.07987E+00 4.84797E+00 5.03142E+00 8.52485E-01 -1.53600E-01 2.25200E-01 6.20000E+00 -1.24300E+00 1.48900E-01 -4.71666E-03 4.50000E+00 1.00000E+00 5.30000E+00 -8.40000E-01 2.00000E+02 1.30000E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.00000E-01 -8.44000E-03 5.96444E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.91553E-01 pga -1.49920E-01 7.28273E+00 7.35054E+00 7.13618E+00 7.37659E+00 8.33636E-01 5.05300E-02 -1.66200E-01 6.20000E+00 -1.13400E+00 1.91700E-01 -1.15138E-02 4.50000E+00 1.00000E+00 4.50000E+00 -6.00000E-01 2.00000E+02 1.50000E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.50000E-01 -7.01000E-03 5.97441E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.92413E-01 0.010 -1.49920E-01 7.28690E+00 7.35245E+00 7.14247E+00 7.38444E+00 8.31000E-01 4.93200E-02 -1.65900E-01 6.20000E+00 -1.13400E+00 1.91600E-01 -1.15146E-02 4.50000E+00 1.00000E+00 4.50000E+00 -6.03720E-01 2.00000E+02 1.50020E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.48330E-01 -7.01000E-03 5.96770E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.91834E-01 0.020 -1.27090E-01 7.32122E+00 7.38472E+00 7.18162E+00 7.41499E+00 8.14760E-01 5.33880E-02 -1.65610E-01 6.20000E+00 -1.13940E+00 1.89620E-01 -1.15032E-02 4.50000E+00 1.00000E+00 4.50000E+00 -5.73880E-01 2.00000E+02 1.50036E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.47100E-01 -7.28000E-03 5.96560E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.91653E-01 0.022 -1.37040E-01 7.33474E+00 7.39732E+00 7.19747E+00 7.42638E+00 8.09850E-01 5.48880E-02 -1.65200E-01 6.20000E+00 -1.14050E+00 1.89240E-01 -1.15162E-02 4.50000E+00 1.00000E+00 4.50000E+00 -5.66750E-01 2.00000E+02 1.50068E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.48010E-01 -7.32000E-03 5.96040E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.91205E-01 0.025 -1.51600E-01 7.36078E+00 7.42215E+00 7.22755E+00 7.44718E+00 8.04410E-01 5.75290E-02 -1.64990E-01 6.20000E+00 -1.14190E+00 1.88750E-01 -1.15586E-02 4.50000E+00 1.00000E+00 4.50000E+00 -5.55200E-01 2.00000E+02 1.50104E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.50150E-01 -7.36000E-03 5.96160E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.91308E-01 0.029 -1.74290E-01 7.40073E+00 7.46008E+00 7.27476E+00 7.47733E+00 7.91590E-01 6.07320E-02 -1.66320E-01 6.20000E+00 -1.14230E+00 1.88440E-01 -1.16500E-02 4.50000E+00 1.00000E+00 4.50000E+00 -5.38500E-01 2.00000E+02 1.50126E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.53870E-01 -7.37000E-03 5.96640E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.91722E-01 0.030 -1.80000E-01 7.41130E+00 7.47005E+00 7.28739E+00 7.48515E+00 7.88240E-01 6.14440E-02 -1.66900E-01 6.20000E+00 -1.14210E+00 1.88420E-01 -1.16560E-02 4.50000E+00 1.00000E+00 4.49000E+00 -5.34140E-01 2.00000E+02 1.50295E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.54850E-01 -7.35000E-03 5.97290E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.92283E-01 0.032 -1.90370E-01 7.43186E+00 7.48960E+00 7.31170E+00 7.50052E+00 7.82500E-01 6.28060E-02 -1.68130E-01 6.20000E+00 -1.14120E+00 1.88400E-01 -1.17250E-02 4.50000E+00 1.00000E+00 4.45000E+00 -5.25290E-01 2.00000E+02 1.50312E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.56850E-01 -7.31000E-03 5.97640E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.92585E-01 0.035 -2.02010E-01 7.46198E+00 7.51827E+00 7.34681E+00 7.52411E+00 7.75210E-01 6.45590E-02 -1.70150E-01 6.20000E+00 -1.13880E+00 1.88390E-01 -1.18820E-02 4.50000E+00 1.00000E+00 4.40000E+00 -5.11920E-01 2.00000E+02 1.50324E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.60160E-01 -7.21000E-03 5.98040E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.92930E-01 0.036 -2.03900E-01 7.47160E+00 7.52747E+00 7.35782E+00 7.53199E+00 7.72920E-01 6.50280E-02 -1.70830E-01 6.20000E+00 -1.13780E+00 1.88370E-01 -1.19050E-02 4.50000E+00 1.00000E+00 4.38000E+00 -5.07520E-01 2.00000E+02 1.50332E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.61420E-01 -7.17000E-03 5.98480E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.93310E-01 0.040 -2.11280E-01 7.50984E+00 7.56450E+00 7.40006E+00 7.56514E+00 7.66440E-01 6.61830E-02 -1.73570E-01 6.20000E+00 -1.13240E+00 1.88160E-01 -1.21800E-02 4.50000E+00 1.00000E+00 4.32000E+00 -4.90650E-01 2.00000E+02 1.50335E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.67770E-01 -6.98000E-03 5.98950E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.93715E-01 0.042 -2.17220E-01 7.52798E+00 7.58229E+00 7.41932E+00 7.58183E+00 7.64760E-01 6.64380E-02 -1.74850E-01 6.20000E+00 -1.12920E+00 1.87970E-01 -1.23050E-02 4.50000E+00 1.00000E+00 4.29000E+00 -4.82900E-01 2.00000E+02 1.50334E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.71930E-01 -6.87000E-03 5.99440E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.94139E-01 0.044 -2.23390E-01 7.54591E+00 7.60007E+00 7.43781E+00 7.59906E+00 7.63150E-01 6.66630E-02 -1.76190E-01 6.20000E+00 -1.12590E+00 1.87750E-01 -1.24300E-02 4.50000E+00 1.00000E+00 4.27000E+00 -4.75720E-01 2.00000E+02 1.50313E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.76640E-01 -6.77000E-03 6.00150E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.94752E-01 0.045 -2.26680E-01 7.55524E+00 7.60934E+00 7.44727E+00 7.60823E+00 7.62370E-01 6.67740E-02 -1.76930E-01 6.20000E+00 -1.12420E+00 1.87640E-01 -1.24810E-02 4.50000E+00 1.00000E+00 4.25000E+00 -4.72360E-01 2.00000E+02 1.50284E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.79140E-01 -6.72000E-03 6.01020E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.95503E-01 0.046 -2.29890E-01 7.56469E+00 7.61877E+00 7.45677E+00 7.61764E+00 7.61610E-01 6.68910E-02 -1.77690E-01 6.20000E+00 -1.12240E+00 1.87520E-01 -1.25410E-02 4.50000E+00 1.00000E+00 4.24000E+00 -4.69150E-01 2.00000E+02 1.50247E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.81700E-01 -6.67000E-03 6.01820E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.96195E-01 0.048 -2.33060E-01 7.58224E+00 7.63638E+00 7.47410E+00 7.63549E+00 7.60080E-01 6.71270E-02 -1.79200E-01 6.20000E+00 -1.11920E+00 1.87300E-01 -1.27160E-02 4.50000E+00 1.00000E+00 4.22000E+00 -4.63210E-01 2.00000E+02 1.50201E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.86880E-01 -6.56000E-03 6.02700E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.96956E-01 0.050 -2.35540E-01 7.60045E+00 7.65478E+00 7.49178E+00 7.65427E+00 7.58570E-01 6.73570E-02 -1.80820E-01 6.20000E+00 -1.11590E+00 1.87090E-01 -1.28790E-02 4.50000E+00 1.00000E+00 4.20000E+00 -4.57950E-01 2.00000E+02 1.50142E+03 7.60000E+02 0.00000E+00 9.81000E+02 -1.92000E-01 -6.47000E-03 6.03610E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.97743E-01 0.055 -2.40660E-01 7.64417E+00 7.69951E+00 7.53273E+00 7.70087E+00 7.55060E-01 6.77970E-02 -1.84800E-01 6.20000E+00 -1.10820E+00 1.86550E-01 -1.32200E-02 4.50000E+00 1.00000E+00 4.15000E+00 -4.47870E-01 2.00000E+02 1.50071E+03 7.60000E+02 0.00000E+00 9.81000E+02 -2.03690E-01 -6.25000E-03 6.04370E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.98400E-01 0.060 -2.42520E-01 7.68700E+00 7.74445E+00 7.57044E+00 7.74797E+00 7.54000E-01 6.85910E-02 -1.88580E-01 6.20000E+00 -1.10090E+00 1.85820E-01 -1.34900E-02 4.50000E+00 1.00000E+00 4.11000E+00 -4.41860E-01 2.00000E+02 1.49983E+03 7.60000E+02 0.00000E+00 9.81000E+02 -2.13740E-01 -6.07000E-03 6.05030E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.98972E-01 0.065 -2.42660E-01 7.72731E+00 7.78733E+00 7.60404E+00 7.79467E+00 7.54000E-01 7.01270E-02 -1.91760E-01 6.20000E+00 -1.09420E+00 1.84850E-01 -1.37300E-02 4.50000E+00 1.00000E+00 4.08000E+00 -4.39510E-01 2.00000E+02 1.49874E+03 7.60000E+02 0.00000E+00 9.81000E+02 -2.22250E-01 -5.93000E-03 6.05690E-01 5.00000E-01 5.50000E+00 6.00000E+00 3.50000E-01 6.99543E-01 0.067 -2.42200E-01 7.74242E+00 7.80349E+00 7.61626E+00 7.81274E+00 7.54000E-01 7.08950E-02 -1.92910E-01 6.20000E+00 -1.09180E+00 1.84420E-01 -1.38800E-02 4.50000E+00 1.00000E+00 4.07000E+00 -4.39500E-01 2.00000E+02 1.49742E+03 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