Source code for openquake.hazardlib.gsim.pankow_pechmann_2004
# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2014-2018 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:`PankowPechmann2004`.
"""
import numpy as np
from scipy.constants import g as gravity
from openquake.hazardlib.gsim.base import GMPE, CoeffsTable
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, PGV, SA
[docs]class PankowPechmann2004(GMPE):
"""
Implements GMPE developed by Kris L. Pankow and James C. Pechmann
and published as "The SEA99 Ground-Motion Predictive Relations for
Extensional Tectonic Regimes: Revisions and a New Peak Ground Velocity
Relation"
Bulletin of the Seismological Society of America,
Vol. 94, No. 1, pp. 341–348, February 2004
"""
#: Supported tectonic region type is active shallow crust,
DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST
#: TO CHECK PSV!
DEFINED_FOR_INTENSITY_MEASURE_TYPES = set([
PGA,
PGV,
SA
])
#: Supported intensity measure component is VECTORIAL
#: :attr:`~openquake.hazardlib.const.IMC.VECTORIAL`,
#: NOTE: The paper indicates it as Geometric mean (to check)
DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = set([
const.IMC.VECTORIAL,
const.IMC.RANDOM_HORIZONTAL
])
#: Supported standard deviation type is total
DEFINED_FOR_STANDARD_DEVIATION_TYPES = set([
const.StdDev.TOTAL
])
#: Required site parameter is only Vs30
REQUIRES_SITES_PARAMETERS = set(('vs30', ))
#: Required rupture parameter is magnitude
REQUIRES_RUPTURE_PARAMETERS = set(('mag', ))
#: Required distance measure is Rjb distance
#: see paragraph 'Predictor Variables', page 6.
REQUIRES_DISTANCES = set(('rjb', ))
#: No independent tests - verification against paper for PGA and PGV,
#: but not for SA and Standard Deviations
non_verified = True
[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.
"""
C = self.COEFFS[imt]
M = rup.mag - 6
R = np.sqrt(dists.rjb ** 2 + C['h'] ** 2)
# In the original formulation of the GMPE, distinction is only made
# between rock and soil sites, which I assumed separated by the Vs30
# value of 910m/s (see equation 5 of the paper)
gamma = np.array([0 if v > 910. else 1 for v in sites.vs30])
mean = np.zeros_like(R)
mean += C['b1'] + \
C['b2'] * M + \
C['b3'] * M ** 2 + \
C['b5'] * np.log10(R) + \
C['b6'] * gamma
# Convert from base 10 to base e
mean /= np.log10(np.e)
# Converting PSV to PSA
if imt != PGA() and imt != PGV():
omega = 2.*np.pi/imt.period
mean += np.log(omega/(gravity*100))
# Computing standard deviation
stddevs = self._get_stddevs(C, stddev_types, dists.rjb.shape[0])
# Convert from base 10 to base e
stddevs = [sd/np.log10(np.e) for sd in stddevs]
return mean, stddevs
def _get_stddevs(self, C, stddev_types, num_sites):
"""
Return total standard deviation.
"""
assert all(stddev_type in self.DEFINED_FOR_STANDARD_DEVIATION_TYPES
for stddev_type in stddev_types)
if self.DEFINED_FOR_INTENSITY_MEASURE_COMPONENT == 'Random horizontal':
# Using equation 8 of the paper,
# corrected as indicated in the erratum
Sr = np.sqrt(C['SlZ']**2 + (C['S3']/np.sqrt(2))**2)
else:
Sr = C['SlZ']
stddevs = [np.zeros(num_sites) + Sr for _ in stddev_types]
return stddevs
#: coefficient table provided by GSC (corrected as in the erratum)
COEFFS = CoeffsTable(sa_damping=5, table="""\
imt Bv b1 b2 b3 b5 b6 h SlZ S3
pgv 0 2.252 0.490 0 -1.196 0.195 7.06 0.246 0.075
pga -0.371 0.237 0.229 0 -1.052 0.174 7.27 0.203 0.094
0.100 -0.212 2.109 0.327 -0.098 -1.250 0.099 9.99 0.273 0.110
0.110 -0.211 2.120 0.318 -0.100 -1.207 0.099 9.84 0.265 0.111
0.120 -0.215 2.129 0.313 -0.101 -1.173 0.101 9.69 0.257 0.113
0.130 -0.221 2.138 0.309 -0.101 -1.145 0.103 9.54 0.252 0.114
0.140 -0.228 2.145 0.307 -0.100 -1.122 0.107 9.39 0.247 0.115
0.150 -0.238 2.152 0.305 -0.099 -1.103 0.111 9.25 0.242 0.116
0.160 -0.248 2.158 0.305 -0.098 -1.088 0.116 9.12 0.239 0.117
0.170 -0.258 2.163 0.305 -0.096 -1.075 0.121 8.99 0.237 0.118
0.180 -0.270 2.167 0.306 -0.094 -1.064 0.126 8.86 0.235 0.119
0.190 -0.281 2.172 0.308 -0.092 -1.055 0.131 8.74 0.234 0.119
0.200 -0.292 2.175 0.309 -0.090 -1.047 0.137 8.63 0.233 0.120
0.220 -0.315 2.182 0.313 -0.086 -1.036 0.147 8.41 0.231 0.121
0.240 -0.338 2.186 0.318 -0.082 -1.029 0.158 8.22 0.231 0.122
0.260 -0.360 2.190 0.323 -0.078 -1.024 0.168 8.04 0.231 0.123
0.280 -0.381 2.194 0.329 -0.073 -1.021 0.178 7.87 0.231 0.124
0.300 -0.401 2.196 0.334 -0.070 -1.020 0.188 7.72 0.232 0.125
0.320 -0.420 2.198 0.340 -0.066 -1.019 0.196 7.58 0.232 0.126
0.340 -0.438 2.199 0.345 -0.062 -1.020 0.205 7.45 0.233 0.126
0.360 -0.456 2.200 0.350 -0.059 -1.021 0.213 7.33 0.234 0.127
0.380 -0.472 2.200 0.356 -0.055 -1.023 0.221 7.22 0.236 0.128
0.400 -0.487 2.201 0.361 -0.052 -1.025 0.228 7.11 0.237 0.128
0.420 -0.502 2.201 0.365 -0.049 -1.027 0.235 7.02 0.238 0.129
0.440 -0.516 2.201 0.370 -0.047 -1.030 0.241 6.93 0.239 0.129
0.460 -0.529 2.201 0.375 -0.044 -1.032 0.247 6.85 0.241 0.129
0.480 -0.541 2.201 0.379 -0.042 -1.035 0.253 6.77 0.242 0.130
0.500 -0.553 2.199 0.384 -0.039 -1.038 0.259 6.70 0.243 0.130
0.550 -0.579 2.197 0.394 -0.034 -1.044 0.271 6.55 0.246 0.131
0.600 -0.602 2.195 0.403 -0.030 -1.051 0.281 6.42 0.249 0.132
0.650 -0.622 2.191 0.411 -0.026 -1.057 0.291 6.32 0.252 0.132
0.700 -0.639 2.187 0.418 -0.023 -1.062 0.299 6.23 0.254 0.133
0.750 -0.653 2.184 0.425 -0.020 -1.067 0.305 6.17 0.257 0.133
0.800 -0.666 2.179 0.431 -0.018 -1.071 0.311 6.11 0.260 0.134
0.850 -0.676 2.174 0.437 -0.016 -1.075 0.316 6.07 0.262 0.134
0.900 -0.685 2.170 0.442 -0.015 -1.078 0.320 6.04 0.264 0.134
0.950 -0.692 2.164 0.446 -0.014 -1.081 0.324 6.02 0.267 0.135
1.000 -0.698 2.160 0.450 -0.014 -1.083 0.326 6.01 0.269 0.135
1.100 -0.706 2.150 0.457 -0.013 -1.085 0.330 6.01 0.273 0.135
1.200 -0.710 2.140 0.462 -0.014 -1.086 0.332 6.03 0.278 0.136
1.300 -0.711 2.129 0.466 -0.015 -1.085 0.333 6.07 0.282 0.136
1.400 -0.709 2.119 0.469 -0.017 -1.083 0.331 6.13 0.286 0.136
1.500 -0.704 2.109 0.471 -0.019 -1.079 0.329 6.21 0.291 0.137
1.600 -0.697 2.099 0.472 -0.022 -1.075 0.326 6.29 0.295 0.137
1.700 -0.689 2.088 0.473 -0.025 -1.070 0.322 6.39 0.299 0.137
1.800 -0.679 2.079 0.472 -0.029 -1.063 0.317 6.49 0.303 0.137
1.900 -0.667 2.069 0.472 -0.032 -1.056 0.312 6.60 0.307 0.137
2.000 -0.655 2.059 0.471 -0.037 -1.049 0.306 6.71 0.312 0.137
""")