# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2012-2021 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:`LinLee2008SInter`, class:`LinLee2008SSlab`
"""
import numpy as np
from openquake.hazardlib.gsim.base import GMPE, CoeffsTable
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, SA
[docs]class LinLee2008SInter(GMPE):
"""
Implements GMPE developed by Po-Shen Lin and Chyi-Tyi Lee and published as
"Ground-Motion Attenuation Relationships for Subduction-Zone Earthquakes
in Northeastern Taiwan" (Bulletin of the Seismological Society of America,
Volume 98, Number 1, pages 220-240, 2008).
This class implements the equations for 'Subduction Interface' (that's why
the class name ends with 'SInter').
"""
#: 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, 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.AVERAGE_HORIZONTAL
#: Supported standard deviation types is total, see equation 10 page 226.
DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL}
DEFINED_FOR_REFERENCE_VELOCITY = 360
#: 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', 'hypo_depth'}
#: Required distance measure is hypocentral distance, see equation 10
#: page 226.
REQUIRES_DISTANCES = {'rhypo'}
#: Vs30 threshold value between rock sites (B, C) and soil sites (C, D).
ROCK_VS30 = 360
[docs] def get_mean_and_stddevs(self, sites, rup, dists, imt, stddev_types):
"""
See :meth:`superclass method
<.base.GroundShakingIntensityModel.get_mean_and_stddevs>`
for spec of input and result values.
"""
assert all(stddev_type in self.DEFINED_FOR_STANDARD_DEVIATION_TYPES
for stddev_type in stddev_types)
mean = np.zeros_like(sites.vs30)
stddevs = [np.zeros_like(sites.vs30) for _ in stddev_types]
idx_rock = sites.vs30 >= self.ROCK_VS30
idx_soil = sites.vs30 < self.ROCK_VS30
if idx_rock.any():
C = self.COEFFS_ROCK[imt]
self._compute_mean(C, rup.mag, dists.rhypo, rup.hypo_depth, mean,
idx_rock)
self._compute_std(C, stddevs, idx_rock)
if idx_soil.any():
C = self.COEFFS_SOIL[imt]
self._compute_mean(C, rup.mag, dists.rhypo, rup.hypo_depth, mean,
idx_soil)
self._compute_std(C, stddevs, idx_soil)
return mean, stddevs
def _compute_mean(self, C, mag, rhypo, hypo_depth, mean, idx):
"""
Compute mean value according to equations 10 and 11 page 226.
"""
mean[idx] = (C['C1'] + C['C2'] * mag + C['C3'] * np.log(rhypo[idx] +
C['C4'] * np.exp(C['C5'] * mag)) + C['C6'] * hypo_depth)
def _compute_std(self, C, stddevs, idx):
"""
Compute total standard deviation, see tables 3 and 4, pages 227 and
228.
"""
for stddev in stddevs:
stddev[idx] += C['sigma']
#: Coefficient table for rock sites, see table 3 page 227.
COEFFS_ROCK = CoeffsTable(sa_damping=5, table="""\
IMT C1 C2 C3 C4 C5 C6 C7 sigma
pga -2.5000 1.205 -1.90499 0.51552 0.63255 0.0075 0.275 0.5268
0.01 -2.5000 1.205 -1.89500 0.51552 0.63255 0.0075 0.275 0.5228
0.02 -2.4900 1.200 -1.88000 0.51552 0.63255 0.0075 0.275 0.5199
0.03 -2.2800 1.155 -1.87500 0.51552 0.63255 0.0075 0.275 0.5245
0.04 -2.0000 1.100 -1.86000 0.51552 0.63255 0.0075 0.275 0.5363
0.05 -1.9000 1.090 -1.85500 0.51552 0.63255 0.0075 0.275 0.5380
0.06 -1.7250 1.065 -1.84000 0.51552 0.63255 0.0075 0.275 0.5555
0.09 -1.2650 1.020 -1.81500 0.51552 0.63255 0.0075 0.275 0.5830
0.10 -1.2199 1.000 -1.79500 0.51552 0.63255 0.0075 0.275 0.5818
0.12 -1.4699 1.040 -1.77000 0.51552 0.63255 0.0075 0.275 0.5759
0.15 -1.6749 1.045 -1.73000 0.51552 0.63255 0.0075 0.275 0.5828
0.17 -1.8459 1.065 -1.71000 0.51552 0.63255 0.0075 0.275 0.5918
0.20 -2.1699 1.085 -1.67500 0.51552 0.63255 0.0075 0.275 0.6071
0.24 -2.5849 1.105 -1.63000 0.51552 0.63255 0.0075 0.275 0.6328
0.30 -3.6149 1.215 -1.57000 0.51552 0.63255 0.0075 0.275 0.6669
0.36 -4.1599 1.255 -1.53500 0.51552 0.63255 0.0075 0.275 0.7024
0.40 -4.5949 1.285 -1.50000 0.51552 0.63255 0.0075 0.275 0.7119
0.46 -5.0200 1.325 -1.49500 0.51552 0.63255 0.0075 0.275 0.7162
0.50 -5.4700 1.365 -1.46500 0.51552 0.63255 0.0075 0.275 0.7159
0.60 -6.0950 1.420 -1.45500 0.51552 0.63255 0.0075 0.275 0.7191
0.75 -6.6750 1.465 -1.45000 0.51552 0.63255 0.0075 0.275 0.7704
0.85 -7.3200 1.545 -1.45000 0.51552 0.63255 0.0075 0.275 0.7803
1.00 -8.0000 1.620 -1.45000 0.51552 0.63255 0.0075 0.275 0.7999
1.50 -9.2400 1.705 -1.44000 0.51552 0.63255 0.0075 0.275 0.8428
2.00 -10.200 1.770 -1.43000 0.51550 0.63260 0.0075 0.275 0.8784
3.00 -11.470 1.830 -1.37000 0.51550 0.63260 0.0075 0.275 0.8607
4.00 -12.550 1.845 -1.26000 0.51550 0.63260 0.0075 0.275 0.8071
5.00 -13.200 1.805 -1.13500 0.51550 0.63260 0.0075 0.275 0.7913
""")
#: Coefficient table for soil sites, see table 4 page 228.
COEFFS_SOIL = CoeffsTable(sa_damping=5, table="""\
IMT C1 C2 C3 C4 C5 C6 C7 sigma
pga -0.9000 1.00000 -1.900 0.99178 0.52632 0.004 0.31 0.48763
0.01 -2.2000 1.08500 -1.750 0.99178 0.52632 0.004 0.31 0.57200
0.02 -2.2900 1.08500 -1.730 0.99178 0.52632 0.004 0.31 0.56720
0.03 -2.3400 1.09500 -1.720 0.99178 0.52632 0.004 0.31 0.57246
0.04 -2.2150 1.09000 -1.730 0.99178 0.52632 0.004 0.31 0.57663
0.05 -1.8950 1.05500 -1.755 0.99178 0.52632 0.004 0.31 0.59221
0.06 -1.1100 1.01000 -1.835 0.99178 0.52632 0.004 0.31 0.59351
0.09 -0.2099 0.94500 -1.890 0.99178 0.52632 0.004 0.31 0.62718
0.10 -0.0549 0.92000 -1.880 0.99178 0.52632 0.004 0.31 0.63322
0.12 -0.0551 0.93500 -1.895 0.99178 0.52632 0.004 0.31 0.64289
0.15 -0.0399 0.95500 -1.880 0.99178 0.52632 0.004 0.31 0.65238
0.17 -0.3399 1.02000 -1.885 0.99178 0.52632 0.004 0.31 0.66732
0.20 -0.7999 1.04500 -1.820 0.99178 0.52632 0.004 0.31 0.65718
0.24 -1.5749 1.12000 -1.755 0.99178 0.52632 0.004 0.31 0.64040
0.30 -3.0099 1.31500 -1.695 0.99178 0.52632 0.004 0.31 0.64856
0.36 -3.6800 1.38000 -1.660 0.99178 0.52632 0.004 0.31 0.67233
0.40 -4.2500 1.41500 -1.600 0.99178 0.52632 0.004 0.31 0.67986
0.46 -4.7200 1.43000 -1.545 0.99178 0.52632 0.004 0.31 0.67889
0.50 -5.2200 1.45500 -1.490 0.99178 0.52632 0.004 0.31 0.68034
0.60 -5.7000 1.47000 -1.445 0.99178 0.52632 0.004 0.31 0.67322
0.75 -6.4500 1.50000 -1.380 0.99178 0.52632 0.004 0.31 0.70085
0.85 -7.3500 1.56500 -1.325 0.99178 0.52632 0.004 0.31 0.71854
1.00 -8.1500 1.60500 -1.235 0.99178 0.52632 0.004 0.31 0.72217
1.50 -10.300 1.80001 -1.165 0.99180 0.52630 0.004 0.31 0.72945
2.00 -11.620 1.86002 -1.070 0.99180 0.52630 0.004 0.31 0.74782
3.00 -12.630 1.89002 -1.060 0.99180 0.52630 0.004 0.31 0.73083
4.00 -13.420 1.87001 -0.990 0.99180 0.52630 0.004 0.31 0.70625
5.00 -13.750 1.83501 -0.975 0.99180 0.52630 0.004 0.31 0.65593
""")
[docs]class LinLee2008SSlab(LinLee2008SInter):
"""
Implements GMPE developed by Po-Shen Lin and Chyi-Tyi Lee and published as
"Ground-Motion Attenuation Relationships for Subduction-Zone Earthquakes
in Northeastern Taiwan" (Bulletin of the Seismological Society of America,
Volume 98, Number 1, pages 220-240, 2008).
This class implements the equations for 'Subduction IntraSlab' (that's why
the class name ends with 'SSlab').
"""
#: Supported tectonic region type is Subduction IntraSlab
DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTRASLAB
[docs] def get_mean_and_stddevs(self, sites, rup, dists, imt, stddev_types):
"""
See :meth:`superclass method
<.base.GroundShakingIntensityModel.get_mean_and_stddevs>`
for spec of input and result values.
"""
mean, stddevs = super().get_mean_and_stddevs(
sites, rup, dists, imt, stddev_types)
idx_rock = sites.vs30 >= self.ROCK_VS30
idx_soil = sites.vs30 < self.ROCK_VS30
mean[idx_rock] += 0.275
mean[idx_soil] += 0.31
return mean, stddevs