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
    """
    if mag <= C["Mtau1"]:
        return C["tau1"]
    elif mag > C["Mtau1"] and mag < C["Mtau2"]:
        magncof = (mag - C["Mtau1"]) / (C["Mtau2"] - C["Mtau1"])
        return C["tau1"] + (C["tau2"] - C["tau1"]) * magncof
    else:
        return C["tau2"]


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"]
    if rup.mag <= C["Mh"]:
        mag_term = (C["e4"] * dmag) + (C["e5"] * dmag**2)
    else:
        mag_term = 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, a nonlinear scaling and a basin scaling term
    """
    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
    """
    if np.abs(rup.rake) <= 30.0 or (180.0 - np.abs(rup.rake)) <= 30.0:
        # strike-slip
        return C["e1"]
    elif rup.rake > 30.0 and rup.rake < 150.0:
        # reverse
        return C["e3"]
    else:
        # normal
        return C["e2"]


[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, 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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