# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2015-2021 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/>.
"""
Module exports :class:`IdiniEtAl2017SInter`
:class:`IdiniEtAl2017SSlab`
"""
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, SA
CONSTS = {'Mr': 5,
'Vref': 1530,
'c4': 0.1,
'c6': 5,
'c7': 0.35,
'h0': 50}
_get_distance_term = CallableDict()
@_get_distance_term.add(const.TRT.SUBDUCTION_INTERFACE)
def _get_distance_term_1(trt, C, ctx):
"""
Returns the magnitude dependent distance scaling term defined in
Equation (5)
"""
mag = ctx.mag
if mag < 7.7:
R = ctx.rhypo
else:
R = ctx.rrup
g = C['c3'] + CONSTS['c4'] * (mag - CONSTS['Mr'])
Ro = CONSTS['c6'] * 10 ** (
CONSTS['c7'] * (mag - CONSTS['Mr']))
return g * np.log10(R + Ro) + C['c5'] * R
@_get_distance_term.add(const.TRT.SUBDUCTION_INTRASLAB)
def _get_distance_term_2(trt, C, ctx):
"""
Returns the magnitude dependent distance scaling term defined in
Equation (5)
"""
mag = ctx.mag
R = ctx.rhypo
g = C['c3'] + CONSTS['c4'] * (mag - CONSTS['Mr']) + C['dc3']
return g * np.log10(R) + C['c5'] * R
_get_magnitude_term = CallableDict()
@_get_magnitude_term.add(const.TRT.SUBDUCTION_INTERFACE)
def _get_magnitude_term_1(trt, C, ctx):
"""
Returns the magnitude scaling term defined in Equation (3)
"""
mag = ctx.mag
return C['c1'] + C['c2'] * mag + C['c9'] * mag ** 2.0
@_get_magnitude_term.add(const.TRT.SUBDUCTION_INTRASLAB)
def _get_magnitude_term_2(trt, C, ctx):
"""
Returns the magnitude scaling term defined in Equation (3)
"""
mag = ctx.mag
H = ctx.hypo_depth
return C['c1'] + C['c2'] * mag + C['c8'] * (H - CONSTS['h0']) + \
C['dc1'] + C['dc2'] * mag
def _get_site_term(C, ctx):
"""
Returns the site scaling term defined in Equation (18)
"""
soiltype = ctx.soiltype
vs30 = ctx.vs30
# sT* depends on the soil type.
# If soiltype > 6, use soiltype = 1 (rock)
sT = [C['s%i' % st] if st > 1 and st <= 6 else 0 for st in soiltype]
return sT * np.log10(vs30 / CONSTS['Vref'])
def _get_stddevs(C):
"""
Returns the standard deviations
"""
# sigma_e and sigma_r are in log10 base, so we need to transform them
tau = np.log(10 ** C['sigma_e'])
phi = np.log(10 ** C['sigma_r'])
return [np.sqrt(tau ** 2.0 + phi ** 2.0), tau, phi]
[docs]class IdiniEtAl2017SInter(GMPE):
"""
Implements the GMPE developed by Idini et al. (2017) for subduction
interface earthquakes, publised as:
Idini, B., F. Rojas, S. Ruiz, and C. Pastén. 2017. “Ground motion
prediction equations for the Chilean subduction zone.” Bull. Earthq. Eng.
15(5): 1853–1880.
"""
#: Supported tectonic region type is subduction interface
DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTERFACE
#: Supported intensity measure types are spectral acceleration,
#: and peak ground acceleration
DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA}
#: Supported intensity measure component is the geometric mean component
DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL
#: Supported standard deviation types are inter-event, intra-event
#: and total
DEFINED_FOR_STANDARD_DEVIATION_TYPES = {
const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT}
#: Site amplification is dependent on the Site Class and Vs30
REQUIRES_SITES_PARAMETERS = {'soiltype', 'vs30'}
#: Required rupture parameters are only magnitude for the interface model
REQUIRES_RUPTURE_PARAMETERS = {'mag'}
#: Required distance measure is closest distance to rupture, for
#: interface events M>=7.7, and hypocentral distance for interface events
#: M<7.7
REQUIRES_DISTANCES = {'rrup','rhypo'}
[docs] def compute(self, ctx, 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]
mean[m] = (_get_magnitude_term(trt, C, ctx) +
_get_distance_term(trt, C, ctx) +
_get_site_term(C, ctx))
# Convert from log10 to ln
mean[m] = np.log(10 ** mean[m])
sig[m], tau[m], phi[m] = _get_stddevs(C)
COEFFS = CoeffsTable(sa_damping=5, table="""\
imt c1 c2 c9 c8 dc1 dc2 sigma_e sigma_t c3 c5 dc3 sigma_r s2 s3 s4 s5 s6
pga -2.85480 0.77410 -0.039580 0.005860 2.56990 -0.47610 0.1720 0.2890 -0.975580 -0.001740 -0.527450 0.2320 -0.5840 -0.3220 -0.1090 -0.0950 -0.2120
0.01 -2.84240 0.80520 -0.041350 0.005840 2.73700 -0.51910 0.1730 0.2880 -1.029930 -0.001750 -0.504660 0.2310 -0.5230 -0.2620 -0.1000 -0.0920 -0.1930
0.02 -2.83370 0.83830 -0.043250 0.005830 2.90870 -0.56400 0.1760 0.2920 -1.085670 -0.001760 -0.480430 0.2330 -0.4590 -0.2080 -0.0920 -0.0890 -0.1770
0.03 -2.82350 0.88380 -0.045950 0.005860 3.07350 -0.62270 0.1780 0.2950 -1.159510 -0.001760 -0.424900 0.2350 -0.3900 -0.1600 -0.0850 -0.0880 -0.1640
0.05 -2.73580 0.95390 -0.050330 0.006210 3.21470 -0.70790 0.1900 0.3070 -1.286400 -0.001780 -0.312390 0.2410 -0.3060 -0.0880 -0.0750 -0.0900 -0.1460
0.07 -2.60040 0.98080 -0.052250 0.006030 3.08510 -0.74250 0.2130 0.3290 -1.346440 -0.001810 -0.179950 0.2510 -0.3510 -0.0560 -0.0690 -0.0960 -0.1410
0.10 -2.48910 0.95440 -0.050600 0.005710 2.80910 -0.70550 0.1950 0.3210 -1.323530 -0.001820 -0.132080 0.2550 -0.5240 -0.0870 -0.0700 -0.1130 -0.1560
0.15 -2.65050 0.92320 -0.048790 0.005600 2.62600 -0.62700 0.1600 0.3020 -1.176870 -0.001830 -0.264510 0.2550 -0.6910 -0.3360 -0.0950 -0.1660 -0.2450
0.20 -3.00960 0.94260 -0.050340 0.005730 2.60630 -0.59760 0.1570 0.3100 -1.045080 -0.001820 -0.391050 0.2680 -0.6710 -0.5470 -0.1270 -0.2090 -0.3590
0.25 -3.33210 0.95780 -0.051430 0.005070 2.36540 -0.58200 0.1420 0.2990 -0.943630 -0.001780 -0.343480 0.2640 -0.5840 -0.6740 -0.1780 -0.2350 -0.4440
0.30 -3.54220 0.94410 -0.050520 0.004280 2.20170 -0.54120 0.1410 0.2960 -0.848140 -0.001730 -0.366950 0.2600 -0.5060 -0.7300 -0.2580 -0.2340 -0.4910
0.40 -3.39850 0.77730 -0.038850 0.003080 1.63670 -0.34480 0.1570 0.3060 -0.692780 -0.001660 -0.463010 0.2630 -0.3860 -0.7180 -0.4230 -0.1640 -0.5350
0.50 -2.80410 0.50690 -0.019730 0.002570 0.76210 -0.06170 0.1520 0.3020 -0.578990 -0.001610 -0.540980 0.2610 -0.3000 -0.6350 -0.5370 -0.1100 -0.5570
0.75 -4.45880 0.86910 -0.041790 0.001350 2.10030 -0.43490 0.1460 0.2910 -0.568870 -0.001580 -0.462660 0.2520 -0.2760 -0.3950 -0.5750 -0.3580 -0.5990
1.00 -5.33910 1.01670 -0.049990 0.000450 2.56100 -0.56780 0.1530 0.2900 -0.532820 -0.001540 -0.423140 0.2470 -0.2750 -0.2540 -0.4620 -0.6700 -0.5840
1.50 -6.12040 1.10050 -0.054260 0.000680 2.89230 -0.58980 0.1520 0.2890 -0.462630 -0.001450 -0.585190 0.2460 -0.2490 -0.2380 -0.3000 -0.8010 -0.5220
2.00 -7.03340 1.25010 -0.063560 0.000510 3.39410 -0.70090 0.1570 0.2910 -0.405940 -0.001390 -0.659990 0.2450 -0.2180 -0.2310 -0.2200 -0.7460 -0.4790
3.00 -8.25070 1.46520 -0.077970 0.000660 4.00330 -0.84650 0.1550 0.2790 -0.339570 -0.001370 -0.790040 0.2310 -0.1800 -0.2190 -0.2100 -0.6280 -0.4610
4.00 -8.74330 1.48270 -0.078630 0.000630 3.93370 -0.81340 0.1600 0.2790 -0.264790 -0.001370 -0.865450 0.2280 -0.1710 -0.2180 -0.2120 -0.5310 -0.4480
5.00 -8.99270 1.46300 -0.076380 0.000670 3.75760 -0.76420 0.1670 0.2860 -0.223330 -0.001370 -0.887350 0.2320 -0.1680 -0.2180 -0.2030 -0.4380 -0.4390
7.50 -9.82450 1.63830 -0.086200 0.001080 4.39480 -0.93130 0.1640 0.2830 -0.303460 -0.001310 -0.912590 0.2310 -0.1680 -0.2180 -0.1530 -0.2560 -0.4350
10.00 -9.86710 1.58770 -0.081680 0.000140 4.38750 -0.88920 0.1760 0.2700 -0.337710 -0.001170 -0.963630 0.2040 -0.1680 -0.2180 -0.1250 -0.2310 -0.4350
""")
[docs]class IdiniEtAl2017SSlab(IdiniEtAl2017SInter):
"""
Implements the GMPE developed by Idini et al. (2017) for subduction
inslab (intraslab) earthquakes, publised as:
Idini, B., F. Rojas, S. Ruiz, and C. Pastén. 2017. “Ground motion
prediction equations for the Chilean subduction zone.” Bull. Earthq. Eng.
15(5): 1853–1880.
"""
#: Supported tectonic region type is subduction in-slab
DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTRASLAB
#: Required rupture parameters for the in-slab model are magnitude and top
# of rupture depth
REQUIRES_RUPTURE_PARAMETERS = {'mag', 'hypo_depth'}