Source code for openquake.hazardlib.gsim.tem20.lin_2011
# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4 \
#
# Copyright (C) 2019 GEM Foundation, Chung-Han Chan
#
# 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:`Lin2011foot`, :class:`Lin2011hanging`
"""
import numpy as np
from openquake.hazardlib.gsim.base import GMPE, CoeffsTable
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, SA
def _compute_mean(C, mag, rrup, mean, idx):
"""
Compute mean value according to equations 10 and 11 page 226.
"""
mean[idx] = (C['C1'] + C['C2'] * mag[idx] + C['C3'] * np.log(rrup[idx] +
C['C4'] * np.exp(C['C5'] * mag[idx])))
def _compute_std(C, stddev, idx):
"""
Compute total standard deviation, see tables 3 and 4, pages 227 and 228.
"""
stddev[idx] = C['sigma']
[docs]class Lin2011foot(GMPE):
"""
Implements GMPE developed by Po-Shen Lin and others and published as
"Response spectral attenuation relations for shallow crustal earthquakes
in Taiwan", Engineering Geology, Volume 121, Issues 3–4, 10 August 2011,
Pages 150-164.
"""
#: 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,
#: and peak ground acceleration, see tables 3 and 4, pages 227 and 228.
DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA}
#: Supported intensity measure component is geometric mean
#: of two horizontal components, see equation 10 page 226.
DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.GEOMETRIC_MEAN
#: Supported standard deviation types is total, see equation 10 page 226.
DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL}
#: Required site parameter is only Vs30 (used to distinguish rock
#: and deep soil).
REQUIRES_SITES_PARAMETERS = {'vs30'}
#: Required rupture parameters are magnitude, and focal depth, see
#: equation 10 page 226.
REQUIRES_RUPTURE_PARAMETERS = {'mag'}
#: Required distance measure is rrup distance, see equation 4
#: page 154.
REQUIRES_DISTANCES = {'rrup'}
#: Vs30 threshold value between rock sites (B, C) and soil sites (C, D).
ROCK_VS30 = 360
[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.
"""
idx_rock = ctx.vs30 >= self.ROCK_VS30
idx_soil = ctx.vs30 < self.ROCK_VS30
for m, imt in enumerate(imts):
if idx_rock.any():
CR = self.COEFFS_ROCK[imt]
_compute_mean(CR, ctx.mag, ctx.rrup, mean[m], idx_rock)
_compute_std(CR, sig[m], idx_rock)
if idx_soil.any():
CS = self.COEFFS_SOIL[imt]
_compute_mean(CS, ctx.mag, ctx.rrup, mean[m], idx_soil)
_compute_std(CS, sig[m], idx_soil)
#: Coefficient table for rock sites, see table 3 page 153.
COEFFS_ROCK = CoeffsTable(sa_damping=5, table="""\
IMT C1 C2 C3 C4 C5 sigma
pga -3.2320 1.047 -1.66200 0.19200 0.63000 0.6520
0.01 -3.1930 1.017 -1.61200 0.21000 0.59000 0.6480
0.06 -2.6430 0.937 -1.60200 0.23000 0.55000 0.7090
0.09 -2.0930 0.907 -1.64200 0.23000 0.55000 0.7550
0.10 -1.9930 0.907 -1.65200 0.19000 0.59000 0.7560
0.20 -2.6590 0.960 -1.51200 0.14800 0.61000 0.6990
0.30 -4.3870 1.169 -1.42200 0.04400 0.79000 0.6860
0.40 -5.6340 1.328 -1.39900 0.02200 0.90000 0.6820
0.50 -6.3910 1.410 -1.34700 0.01800 0.95000 0.7340
0.60 -7.6340 1.576 -1.34500 0.00430 1.19100 0.7210
0.75 -8.8850 1.665 -1.25400 0.00090 1.39400 0.7010
1.00 -10.0310 1.777 -1.24000 0.00070 1.41600 0.7170
1.50 -11.6330 1.930 -1.21900 0.00050 1.46300 0.6780
2.00 -12.5990 1.989 -1.17400 0.00050 1.46400 0.7030
3.00 -13.3110 1.974 -1.14000 0.00090 1.30600 0.7010
5.00 -13.9850 1.957 -1.14500 0.00130 1.20200 0.7260
""")
#: Coefficient table for soil sites, see table 4 page 153.
COEFFS_SOIL = CoeffsTable(sa_damping=5, table="""\
IMT C1 C2 C3 C4 C5 sigma
pga -3.2180 0.935 -1.46400 0.12500 0.65000 0.6300
0.01 -3.3060 0.937 -1.45400 0.10000 0.67000 0.6260
0.06 -1.8960 0.977 -1.74400 0.14000 0.72000 0.6850
0.09 -1.2560 0.907 -1.75400 0.15100 0.72000 0.7080
0.10 -1.3060 0.907 -1.73400 0.15100 0.71000 0.7120
0.20 -3.3100 0.957 -1.29100 0.10000 0.70000 0.6900
0.30 -4.8800 1.219 -1.29400 0.03100 0.91000 0.6630
0.40 -5.6280 1.239 -1.18100 0.01220 1.02000 0.6540
0.50 -6.2840 1.311 -1.16000 0.00570 1.13000 0.6520
0.60 -7.2520 1.429 -1.12800 0.00250 1.26000 0.6400
0.75 -8.3550 1.536 -1.06500 0.00080 1.42000 0.6480
1.00 -9.8600 1.692 -0.99500 0.00050 1.50400 0.6730
1.50 -11.7500 1.919 -0.99700 0.00050 1.54400 0.7140
2.00 -12.8270 2.025 -0.99600 0.00050 1.53600 0.7560
3.00 -13.7950 2.069 -0.98900 0.00050 1.49000 0.7840
5.00 -14.2560 2.120 -1.14400 0.00070 1.48000 0.8220
""")
[docs]class Lin2011hanging(Lin2011foot):
"""
Implements GMPE developed by Po-Shen Lin and others and published as
"Response spectral attenuation relations for shallow crustal earthquakes
in Taiwan", Engineering Geology, Vol. 121, Issues 3–4, 10 August 2011,
Pages 150-164.
"""
#: Coefficient table for rock sites, see table 3 page 153.
COEFFS_ROCK = CoeffsTable(sa_damping=5, table="""\
IMT C1 C2 C3 C4 C5 sigma
pga -3.2790 1.035 -1.65100 0.15200 0.62300 0.6510
0.01 -3.2530 1.018 -1.62900 0.15900 0.61200 0.6470
0.06 -1.7380 0.908 -1.76900 0.32700 0.50200 0.7020
0.09 -1.2370 0.841 -1.75000 0.47800 0.40200 0.7480
0.10 -1.1030 0.841 -1.76500 0.45500 0.41700 0.7500
0.20 -2.7670 0.980 -1.52200 0.09700 0.62700 0.6970
0.30 -4.4400 1.186 -1.43800 0.02700 0.82300 0.6850
0.40 -5.6300 1.335 -1.41400 0.01400 0.93200 0.6830
0.50 -6.7460 1.456 -1.36500 0.00600 1.05700 0.6780
0.60 -7.6370 1.557 -1.34800 0.00330 1.14700 0.6660
0.75 -8.6410 1.653 -1.31300 0.00150 1.25700 0.6520
1.00 -9.9780 1.800 -1.28600 0.00080 1.37700 0.6710
1.50 -11.6170 1.976 -1.28400 0.00040 1.50800 0.6830
2.00 -12.6110 2.058 -1.26100 0.00050 1.49700 0.7060
3.00 -13.3030 2.036 -1.23400 0.00130 1.30200 0.7020
5.00 -13.9140 1.958 -1.15600 0.00120 1.24100 0.7260
""")
#: Coefficient table for soil sites, see table 4 page 153.
COEFFS_SOIL = CoeffsTable(sa_damping=5, table="""\
IMT C1 C2 C3 C4 C5 sigma
pga -3.2480 0.943 -1.47100 0.10000 0.64800 0.6280
0.01 -3.0080 0.905 -1.45100 0.11000 0.63800 0.6230
0.06 -1.9940 0.809 -1.50000 0.25100 0.51800 0.6860
0.09 -1.4080 0.765 -1.55100 0.28000 0.51000 0.7090
0.10 -1.5080 0.785 -1.55100 0.28000 0.50000 0.7130
0.20 -3.2260 0.870 -1.21100 0.04500 0.70800 0.6870
0.30 -4.0500 0.999 -1.20500 0.03000 0.78800 0.6570
0.40 -5.2930 1.165 -1.16700 0.01100 0.95800 0.6550
0.50 -6.3070 1.291 -1.13400 0.00420 1.11800 0.6530
0.60 -7.2090 1.395 -1.09900 0.00160 1.25800 0.6420
0.75 -8.3090 1.509 -1.04400 0.00060 1.40800 0.6510
1.00 -9.8680 1.691 -1.00400 0.00040 1.48500 0.6770
1.50 -11.2160 1.798 -0.96500 0.00030 1.52200 0.7220
2.00 -12.8060 2.005 -0.97500 0.00050 1.52800 0.7590
3.00 -13.8860 2.099 -1.07700 0.00040 1.54800 0.7870
5.00 -14.6060 2.160 -1.11400 0.00040 1.56200 0.8200
""")