Source code for openquake.hazardlib.gsim.chao_2020

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
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#
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"""
Module exports :class:`ChaoEtAl2020SInter`
               :class:`ChaoEtAl2020SSlab`
               :class:`ChaoEtAl2020Asc`
"""
import math

import numpy as np

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

CONSTANTS = {'mag_ref': 6.5, 'n': 2, 'vs30_ref': 760, 'rrup_ref': 0}


def _fc(C, imt, vs30, sa1180):
    """
    C value factor [23].
    """
    s = CONSTANTS
    if imt.string in ["PGD", "PGV"]:
        c = 2400
    else:
        c = 2.4

    return (-1.5 * np.log(vs30 / s['vs30_ref']) - np.log(sa1180 + c)
            + np.log(sa1180 + c * (vs30 / s['vs30_ref']) ** 1.5)) \
        * np.heaviside(s['vs30_ref'] - vs30, 0.5) * C['c23']


_ffault = CallableDict()


@_ffault.add(const.TRT.SUBDUCTION_INTERFACE, const.TRT.SUBDUCTION_INTRASLAB)
def _ffault_1(trt, MC, SUFFIX, C, mag):
    """
    Other fault specific factors.
    """
    return (6 - mag) * np.heaviside(6 - mag, 0.5) * C['c13'] \
        + (mag - MC) * np.heaviside(mag - MC, 0.5) \
        * C['c29' + SUFFIX]


@_ffault.add(const.TRT.ACTIVE_SHALLOW_CRUST)
def _ffault_2(trt, MC, SUFFIX, C, mag):
    """
    Other fault specific factors.
    """
    return ((mag - CONSTANTS['mag_ref']) ** 2 - (mag - MC) ** 2
            * np.heaviside(mag - MC, 0.5)) * C['c10']


def _fh(trt, SBCR, MC, C4, C, mag, rrup):
    """
    Factors using `h` (coefficients 17-22).
    """
    s = CONSTANTS
    if trt == const.TRT.SUBDUCTION_INTERFACE:
        # H factor for coefficients 17-22
        h = 10 * np.exp(C4 * (mag - MC) * np.heaviside(mag - MC, 0.5))
    else:  # ASC
        h = 10.
    hf = np.log((rrup ** s['n'] + h ** s['n']) ** (1 / s['n'])
                / (s['rrup_ref'] ** s['n'] + h ** s['n']) ** (1 / s['n']))

    if trt == const.TRT.ACTIVE_SHALLOW_CRUST:
        c19 = mag
    else:
        c19 = np.minimum(mag, MC)
    return hf * C['c17' + SBCR] + hf * C['c19' + SBCR] * (c19 - s['mag_ref'])


_ftype = CallableDict()


@_ftype.add(const.TRT.SUBDUCTION_INTERFACE, const.TRT.SUBDUCTION_INTRASLAB)
def _ftype_1(trt, suffix, C, ctx):
    """
    Factor based on the type of fault.
    """
    return C['c4' + suffix]


@_ftype.add(const.TRT.ACTIVE_SHALLOW_CRUST)
def _ftype_2(trt, suffix, C, ctx):
    """
    Factor based on the type of fault.
    """
    res = np.full_like(ctx.rake, C['c2'])  # strike-slip
    res[(30 <= ctx.rake) & (ctx.rake <= 150)] = C['c1']  # reverse
    res[(-150 <= ctx.rake) & (ctx.rake <= -30)] = C['c3']  # normal
    return res


def _fvs30(geology, C, ctx):
    """
    Source of Vs30 factor.
    vs30measured available for Kuo17 (measured)
    self.geology True for KS17 (inferred)
    self.geology False for Receiver Function (inferred)
    """
    return np.where(ctx.vs30measured, C['c26'],
                    C['c27'] if geology else C['c28'])


def _fz1pt0(C, ctx):
    """
    z1pt0 factor.
    """
    result = np.zeros_like(ctx.z1pt0)
    idx = ctx.z1pt0 >= 0
    if sum(idx) == 0:
        return result

    z1pt0_ref = np.exp(-4.08 / 2 * np.log((ctx.vs30 ** 2 + 355.4 ** 2)
                                          / (1750 ** 2 + 355.4 ** 2)))
    result[idx] = np.log(ctx.z1pt0[idx] / z1pt0_ref) * C['c25']
    return result


[docs]def get_stddevs(f, C, mag): """ Standard deviation. tau: between event stddev ln(g) phis2s: between site stddev in ln(g) phiss: single station stddev in ln(g) """ f_mag = 0.5 * (np.minimum(6.5, np.maximum(4.5, mag)) - 4.5) tau = C[f'tau1{f}'] + (C[f'tau2{f}'] - C[f'tau1{f}']) * f_mag phiss = C[f'phiss1{f}'] + (C[f'phiss2{f}'] - C[f'phiss1{f}']) * f_mag phis2s = C['phis2s'] phi = np.sqrt(phis2s ** 2 + phiss ** 2) return [np.sqrt(tau ** 2 + phi ** 2), tau, phi]
[docs]class ChaoEtAl2020SInter(GMPE): """ Chao et al. (2020) for Subduction Interface. """ DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTERFACE DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.GEOMETRIC_MEAN DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, PGD, PGV, SA} DEFINED_FOR_REFERENCE_VELOCITY = 1180 DEFINED_FOR_STANDARD_DEVIATION_TYPES = { const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT} #: Required distance rrup REQUIRES_DISTANCES = {'rrup'} REQUIRES_RUPTURE_PARAMETERS = {'mag', 'ztor'} REQUIRES_SITES_PARAMETERS = {'vs30', 'vs30measured', 'z1pt0'} REQUIRES_ATTRIBUTES = {'manila', 'aftershocks', 'geology'} def __init__(self, manila=False, aftershocks=False, geology=True): # Manila or Ryukyu subduction zone self.manila = manila # aftershocks or mainshocks self.aftershocks = aftershocks # geology True for KS17, False for seismic (receiver function) # only used for inferred vs30, otherwise use vs30measured self.geology = geology
[docs] def compute(self, ctx: np.recarray, imts, mean, sig, tau, phi): """ See :meth:`superclass method <.base.GroundShakingIntensityModel.compute>` for spec of input and result values. """ trt = self.DEFINED_FOR_TECTONIC_REGION_TYPE for m, imt in enumerate(imts): C = self.COEFFS[imt] s = CONSTANTS med = mean[m] med += _ftype(trt, self.SUFFIX, C, ctx) med += (ctx.ztor - self.CONST_FAULT['href']) * C[ 'c14' + self.SUFFIX] med += (ctx.mag - s['mag_ref']) * C['c8' + self.SBCR] med += (5 - ctx.mag) * np.heaviside(5 - ctx.mag, 0.5) \ * C['c11' + self.SBCR] med += _fh(trt, self.SBCR, self.MC, self.CONST_FAULT['C4'], C, ctx.mag, ctx.rrup) med += (ctx.rrup - s['rrup_ref']) * C['c21' + self.SBCR] med += _ffault(trt, self.MC, self.SUFFIX, C, ctx.mag) med += C['c6'] * self.aftershocks + C['c7'] * self.manila med += _fvs30(self.geology, C, ctx) sa1180 = np.exp(med + math.log(1180/s['vs30_ref']) * C['c24']) med += _fc(C, imt, ctx.vs30, sa1180) med += np.log(ctx.vs30 / s['vs30_ref']) * C['c24'] med += _fz1pt0(C, ctx) sig[m], tau[m], phi[m] = get_stddevs(self.SBCR, C, ctx.mag)
COEFFS = CoeffsTable(sa_damping=5, table="""\ imt c1 c2 c3 c4_if c4_is c6 c7 c8_cr c8_sb c10 c11_cr c11_sb c13 c14_cr c14_if c14_is c17_cr c17_sb c19_cr c19_sb c21_cr c21_sb c23 c24 c25 c26 c27 c28 c29_if c29_is tau1_cr tau2_cr tau1_sb tau2_sb phiss1_cr phiss2_cr phiss1_sb phiss2_sb phis2s pga -0.5192892547128840 -0.6150055029113330 -0.6487900726643910 -0.5859618870941580 0.2995078226527580 -0.1252895878217900 0.1860213693406720 0.4128529204313240 0.6654099729223670 -0.1376176044286790 -0.0000003768045793 -0.0000002632651801 -0.0000003479033210 0.0325013808122898 0.0188003326071965 0.0066214814780273 -1.3033352051553600 -1.4222150700864700 0.3874353293578060 0.1816390684494260 -0.0034295741595448 -0.0034489780547407 -2.5525572055834000 -0.4820755783830470 0.0636111092153052 -0.5680621936097360 -0.6441908224323110 -0.6148407238174470 -0.4944663117848010 -0.4948250053327020 0.3674988948492440 0.3156766103555770 0.2747114934261350 0.5404436414423900 0.5284243730959070 0.4400249261948010 0.4358918335042310 0.4982604989025690 0.3435860891378130 0.01 -0.5185435292277630 -0.6139978370809050 -0.6485291075803880 -0.5838899830711630 0.3025167286045810 -0.1244749736423930 0.1818440946548220 0.4133627969553290 0.6662082185566420 -0.1377874122648280 -0.0000016455914614 -0.0000010168484829 -0.0000015396189431 0.0325478379384533 0.0187424764459864 0.0065978989650052 -1.3050707375477800 -1.4244518028964800 0.3865358127626830 0.1799727376957520 -0.0034138067537784 -0.0034249196892139 -2.5491215932210800 -0.4817847143782920 0.0637979244436324 -0.5671019863928200 -0.6430624549208040 -0.6134855454872920 -0.4962061562087430 -0.5019638690208290 0.3672959719907850 0.3154146574183840 0.2733100640145130 0.5413688232186000 0.5279530156395120 0.4402345932395540 0.4366852410606870 0.4979773327789170 0.3437466383316600 0.02 -0.4925935193382860 -0.5849494939894080 -0.6149768931486030 -0.5994558769715950 0.2896423927820520 -0.1255022048822760 0.1913815871815020 0.3989282252665750 0.6316076153041100 -0.1329759746961010 -0.0010277552092071 -0.0000007415198554 -0.0000009243529219 0.0330191056515263 0.0184348278192339 0.0069331416349393 -1.3381199569179700 -1.4144452691294700 0.3918303510961290 0.1909212976216070 -0.0031761225955272 -0.0036500842576487 -2.5020049297189400 -0.4722757215196650 0.0649888427251637 -0.5300330753401030 -0.6092543141804070 -0.5783932279622350 -0.4567832202723850 -0.4843335992997120 0.3672096025203770 0.3193604175283950 0.2727371846461310 0.5590662841638730 0.5212490565944880 0.4457229793375830 0.4284446929672800 0.4997055429236690 0.3492753254041860 0.03 -0.4773436137435830 -0.5646500549184690 -0.5823569579995780 -0.6229871080555090 0.2895352598530250 -0.1281741601414120 0.1959394907475940 0.3700049726661150 0.5722615232020440 -0.1233348788754380 -0.0013400986538279 -0.0000008780800013 -0.0000010741358947 0.0343101384872960 0.0183116904998815 0.0075119701817267 -1.3673880371344400 -1.4049670408467200 0.4087284138519370 0.2120199290459480 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-2.7681880158076700 -2.9912308138027000 0.1087794828940540 -0.2475264997327470 1.5711476167331400 1.0248966641608600 -0.2757023074987770 -0.0000002893187016 -0.0000007071111743 -0.6712278770777070 -0.0080289129978441 -0.0055089260712685 0.0002598589919845 -0.9844367319831440 -0.7634431186144020 0.2732908377032170 0.3203152022108220 -0.0006897102389096 -0.0030925027294924 0.0000000000000000 -0.8223177494406110 0.1455355246584370 -1.6392650516693500 -1.5448698990426400 -1.7280816734851900 -0.1970906573510090 -0.2362019597302050 0.5684528701196870 0.4816961813462040 0.4683567199764780 0.4119013474002300 0.4034142608449920 0.4200274542874700 0.4420885624015020 0.3737143966344340 0.3884066340183610 pgv 2.9029349822540100 2.7442184267612700 2.5956072627404700 2.7208097262709800 3.2025577336977900 -0.1446177480065630 -0.0413092466691142 0.8212932944431650 0.8048031763759270 -0.2099764391081720 -0.0000106980728248 -0.0000492798570503 -0.2820776116949390 0.0155391426948740 0.0171590486230531 0.0030037011458330 -1.2265529440479100 -1.3749132391246600 0.3076583015302820 0.2104730674561660 -0.0009692157684588 -0.0006985849374855 -6.1179459855387300 -0.6707577779339960 0.0957650492780946 0.3935242034563910 0.3928190325309850 0.3150238242701770 -0.3632617170998910 -0.2432876895838630 0.4386543757769160 0.3740824694470210 0.3305136472559800 0.5673397303206320 0.5590865385354610 0.4351807257924570 0.4801642015831750 0.4853170221825470 0.2740663767048480 pgd 2.4541041890538500 2.3782401415145500 2.2914153189502800 2.0838396593163400 1.9313699400126300 -0.2352916881091410 0.0713994939700537 1.5616444489691000 1.4936921369303000 -0.1676096441841540 -0.0000019923442846 -0.0000232740338163 -0.2069439338171460 -0.0032395363349413 0.0109930765184774 0.0052177204872172 -1.0191698911307200 -1.1559670502824900 0.2068132897445940 0.1789279177790470 -0.0018437138641425 -0.0013634189684089 0.0000000000000000 -0.7422544318623790 0.1490020084340320 -0.4228777481185350 -0.3833592619351370 -0.4612451842659720 -0.3050704862339770 -0.2043152093014790 0.6449844035380140 0.4977962177812710 0.5366022406101780 0.7130676587043830 0.7016130925807040 0.4750313723101500 0.5971604738380890 0.5707298418086840 0.3229783037503560 """) CONST_FAULT = {'C4': 0.3, 'href': 0} # subduction or crustal SBCR = "_sb" SUFFIX = "_if" MC = 7.1
[docs]class ChaoEtAl2020SSlab(ChaoEtAl2020SInter): """ Chao et al. (2020) for Subduction Slab. """ DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTRASLAB CONST_FAULT = {'C4': 0.2, 'href': 35} SUFFIX = "_is"
[docs]class ChaoEtAl2020Asc(ChaoEtAl2020SInter): """ Chao et al. (2020) for Crustal. """ DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST # add rake to determine fault style in _ftype() REQUIRES_RUPTURE_PARAMETERS = {'mag', 'rake', 'ztor'} CONST_FAULT = {'C4': 0, 'href': 0} # subduction or crustal SBCR = "_cr" SUFFIX = "_cr" MC = 7.6