# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2013-2016 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:`EdwardsFah2013Foreland10Bars`,
:class:`EdwardsFah2013Foreland20Bars`,
:class:`EdwardsFah2013Foreland30Bars`,
:class:`EdwardsFah2013Foreland50Bars`,
:class:`EdwardsFah2013Foreland60Bars`,
:class:`EdwardsFah2013Foreland75Bars`,
:class:`EdwardsFah2013Foreland90Bars`,
:class:`EdwardsFah2013Foreland120Bars`
"""
from __future__ import division
import numpy as np
from scipy.constants import g
from openquake.hazardlib.imt import PGA, SA
from openquake.hazardlib.gsim.edwards_fah_2013a import (
EdwardsFah2013Alpine10Bars
)
from openquake.hazardlib.gsim.edwards_fah_2013f_coeffs import (
COEFFS_FORELAND_10Bars,
COEFFS_FORELAND_20Bars,
COEFFS_FORELAND_30Bars,
COEFFS_FORELAND_50Bars,
COEFFS_FORELAND_60Bars,
COEFFS_FORELAND_75Bars,
COEFFS_FORELAND_90Bars,
COEFFS_FORELAND_120Bars
)
from openquake.hazardlib.gsim.utils_swiss_gmpe import _compute_C1_term
[docs]class EdwardsFah2013Foreland10Bars(EdwardsFah2013Alpine10Bars):
"""
This function implements the GMPE developed by Ben Edwards and
Donath Fah and published as "A Stochastic Ground-Motion Model
for Switzerland" Bulletin of the Seismological
Society of America, Vol. 103, No. 1, pp. 78–98, February 2013.
The GMPE was parametrized by Carlo Cauzzi to be implemented in OpenQuake.
This class implements the equations for 'Foreland - two
tectonic regionalizations defined for the Switzerland -
therefore this GMPE is region specific".
"""
[docs] def get_mean_and_stddevs(self, sites, rup, dists, imt, stddev_types):
"""
compute mean for Foreland
"""
COEFFS = self.COEFFS[imt]
R = self._compute_term_d(COEFFS, rup.mag, dists.rrup)
mean = 10 ** (self._compute_mean(COEFFS, rup.mag, R))
# Convert units to g,
# but only for PGA and SA (not PGV):
if isinstance(imt, (PGA, SA)):
mean = np.log(mean / (g*100.))
else:
# PGV:
mean = np.log(mean)
c1_rrup = _compute_C1_term(COEFFS, dists.rrup)
log_phi_ss = 1.00
stddevs = self._get_stddevs(COEFFS, stddev_types, sites.vs30.shape[0],
rup.mag, c1_rrup, log_phi_ss,
COEFFS['mean_phi_ss'])
return mean, stddevs
def _compute_term_d(self, C, mag, rrup):
"""
Compute distance term: original implementation from Carlo Cauzzi
if M > 5.5 rmin = 0.55;
elseif M > 4.7 rmin = -2.067.*M +11.92;
else rmin = -0.291.*M + 3.48;
end
d = log10(max(R,rmin));
"""
if mag > self.M1:
rrup_min = 0.55
elif mag > self.M2:
rrup_min = -2.067 * mag + 11.92
else:
rrup_min = -0.291 * mag + 3.48
R = np.maximum(rrup_min, rrup)
return np.log10(R)
#: Fixed magnitude terms
M1 = 5.00
M2 = 4.70
COEFFS = COEFFS_FORELAND_10Bars
[docs]class EdwardsFah2013Foreland20Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 20Bars Model :class:`EdwardsFah2013Foreland20Bars`
"""
COEFFS = COEFFS_FORELAND_20Bars
[docs]class EdwardsFah2013Foreland30Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 30Bars Model :class:`EdwardsFah2013Foreland30Bars`
"""
COEFFS = COEFFS_FORELAND_30Bars
[docs]class EdwardsFah2013Foreland50Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 50Bars Model :class:`EdwardsFah2013Foreland50Bars`
"""
COEFFS = COEFFS_FORELAND_50Bars
[docs]class EdwardsFah2013Foreland60Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 60Bars Model :class:`EdwardsFah2013Foreland60Bars`
"""
COEFFS = COEFFS_FORELAND_60Bars
[docs]class EdwardsFah2013Foreland75Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 75Bars Model :class:`EdwardsFah2013Foreland75Bars`
"""
COEFFS = COEFFS_FORELAND_75Bars
[docs]class EdwardsFah2013Foreland90Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 90Bars Model :class:`EdwardsFah2013Foreland90Bars`
"""
COEFFS = COEFFS_FORELAND_90Bars
[docs]class EdwardsFah2013Foreland120Bars(EdwardsFah2013Foreland10Bars):
"""
This class extends :class:`EdwardsFah2013Foreland10Bars`
and implements the 120Bars Model :class:`EdwardsFah2013Foreland120Bars`
"""
COEFFS = COEFFS_FORELAND_120Bars