# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2012-2026 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:`EMME24BB_GMM1SGM1`
:class:`EMME24BB_GMM1SGM2`
:class:`EMME24BB_GMM1SGM3`
:class:`EMME24BB_GMM2SGM1`
:class:`EMME24BB_GMM2SGM2`
:class:`EMME24BB_GMM2SGM3`
:class:`EMME24BB_GMM3SGM1`
:class:`EMME24BB_GMM3SGM2`
:class:`EMME24BB_GMM3SGM3`
:class:`EMME24BB_GMM4SGM1`
:class:`EMME24BB_GMM4SGM2`
:class:`EMME24BB_GMM4SGM3`
:class:`EMME24BB_GMM5SGM1`
:class:`EMME24BB_GMM5SGM2`
:class:`EMME24BB_GMM5SGM3`
"""
import numpy as np
from openquake.hazardlib.gsim.base import CoeffsTable
from openquake.hazardlib.gsim.chiou_youngs_2014 import ChiouYoungs2014
# EMME24 site model coefficients
COEFFS_SM = CoeffsTable(
sa_damping=5, table="""
IMT a1 a2 a3 a4 Vc
pgv -0.7905 -0.0660 -0.0090 5.0000 1300
pga -0.4474 -0.1332 -0.0075 0.1200 1418
0.01 -0.4474 -0.1267 -0.0077 0.1200 1418
0.02 -0.4343 -0.1161 -0.0082 0.1260 1410
0.03 -0.3948 -0.1213 -0.0082 0.1360 1402
0.04 -0.3565 -0.1325 -0.0079 0.1490 1395
0.05 -0.3268 -0.1542 -0.0072 0.1620 1388
0.075 -0.3148 -0.1930 -0.0065 0.2000 1365
0.1 -0.3736 -0.2279 -0.0064 0.2260 1352
0.15 -0.4951 -0.2629 -0.0063 0.2600 1304
0.2 -0.6140 -0.2597 -0.0065 0.2440 1256
0.25 -0.7079 -0.2373 -0.0068 0.2140 1200
0.3 -0.7991 -0.2018 -0.0072 0.1880 1138
0.4 -0.9143 -0.1595 -0.0077 0.1500 1047
0.5 -0.9995 -0.1313 -0.0082 0.1250 1000
0.75 -1.0520 -0.0832 -0.0088 0.0800 1000
1 -1.0706 -0.0688 -0.0088 0.0640 1000
1.5 -1.0724 -0.0524 -0.0072 0.0330 1000
2 -1.0422 -0.0444 -0.0046 0.0230 1000
3 -0.9938 -0.0286 -0.0016 0.0130 1000
4 -0.9454 -0.0129 -0.0010 0.0070 1000
5 -0.8856 0.0000 -0.0008 0.0060 1000
7.5 -0.7715 0.0000 -0.0005 0.0050 1000
10 -0.6503 0.0000 -0.0005 0.0040 1000
"""
)
def _get_inter_event_tau(C_BB, ctx):
"""
Returns the inter-event standard deviation (tau), which is dependent on magnitude
"""
tau = C_BB["tau1"] + (C_BB["tau2"] - C_BB["tau1"]) * (ctx.mag - 5)/1.2
idx = ctx.mag < 5
tau[idx] = C_BB["tau1"]
idx = ctx.mag >= 6.2
tau[idx] = C_BB["tau2"]
return tau
def _get_intra_event_phi(C_BB, ctx):
"""
Returns the intra-event standard deviation (phi), dependent on magnitude
"""
phi = C_BB["phi1"] + (C_BB["phi2"] - C_BB["phi1"]) * (ctx.mag - 5)/1.0
idx = ctx.mag < 5
phi[idx] = C_BB["phi1"]
idx = ctx.mag >= 6.0
phi[idx] = C_BB["phi2"]
return phi
def _compute_distance_correction(ctx, imt):
"""
Return the distance correction for the given IMT.
"""
if imt.string == "PGV":
c1 = 0.0367
c2 = 0.0069
c3 = -0.0316
c4 = -0.3334
c5 = 0.0112
else:
c1 = -0.0037
c2 = 0.0126
c3 = -0.0131
c4 = -0.3888
c5 = -0.0591
Msel = ctx.mag - 6.5
rrup_dummy = np.maximum(ctx.rrup, 1)
return (
c1
+ c2 * Msel
+ c3 * Msel**2
+ c4 * np.log(np.maximum(11 - rrup_dummy, 1)) * np.minimum(ctx.mag - 4.8, 0)
+ c5 * np.log(np.maximum(rrup_dummy - 9, 1)) * np.maximum(ctx.mag - 7.2, 0)
)
def _compute_scalefactor(ctx, C_BB):
"""
Compute median scaling factor in natural logarithm
"""
distance_parameter = np.sqrt(ctx.rrup ** 2.0 + C_BB['hfict'] ** 2.0) / C_BB['Rref']
return (
C_BB['c1'] +
C_BB['c2'] * (ctx.mag - C_BB['Mref']) +
C_BB['c3'] * (ctx.mag - C_BB['Mref'])**2 +
C_BB['c4'] * np.log(distance_parameter) +
C_BB['c5'] * np.log(distance_parameter)**2 +
C_BB['c6'] * (ctx.mag - C_BB['Mref']) *
np.log(distance_parameter)
)
[docs]class EMME24BB_GMM1SGM1(ChiouYoungs2014):
"""
EMME24 backbone model for active shallow crustal earthquakes developed by
Baran Güryuva, Ozkan Kale, Abdullah Sandıkkaya and Laurentiu Danciu.
This class is the lower range, lower sigma model branch
This backbone GMM adjusts the Chiou and Youngs (2014) GMPE using the
corrections described within the journal paper: "PLACEHOLDER"
"""
DEFINED_FOR_REFERENCE_VELOCITY = 800. # EMME24 backbone is defined for ref
# velocity of 800 m/s
experimental = True
COEFFS_EMME = COEFFS_SM # Use the EMME24 site model in CY14 GSIM
[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.
"""
# First get mean from CY14 but with EMME site model
super().compute(ctx, imts, mean, sig, tau, phi)
# Now make adjustments per IMT
for m, imt in enumerate(imts):
# Get coeffs
C_BB = self.COEFFS_BB[imt]
# Get scaling factor and apply
scfact = _compute_scalefactor(ctx, C_BB)
mean[m] += scfact
# Get distance correction and apply
dist_corr = _compute_distance_correction(ctx, imt)
mean[m] += dist_corr
# Get tau and phi
std_inter = _get_inter_event_tau(C_BB, ctx)
std_intra = _get_intra_event_phi(C_BB, ctx)
# Store tau and phi and compute total sigma for given IMT
tau[m] = std_inter
phi[m] = std_intra
sig[m] = np.sqrt(std_intra ** 2. + std_inter ** 2.)
COEFFS_BB = CoeffsTable(sa_damping=5, table="""
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.4422 0.1433 0.0887 0.0013 -0.0536 0.0190 6.75 30 3 9.00 0.2238 0.1859 0.5401 0.4069
pga -0.3724 0.0732 0.0313 -0.0074 -0.0188 0.0346 6.75 30 3 9.00 0.3338 0.2286 0.6029 0.4150
0.01 -0.3463 0.0818 0.0262 -0.0220 -0.0172 0.0274 6.75 30 3 9.00 0.3338 0.2286 0.6034 0.4154
0.02 -0.3263 0.0835 0.0250 -0.0355 -0.0159 0.0276 6.75 30 3 9.00 0.3338 0.2286 0.6045 0.4163
0.03 -0.3922 0.0831 0.0339 -0.0289 -0.0079 0.0299 6.75 30 3 9.00 0.3338 0.2286 0.6202 0.4247
0.04 -0.4916 0.0758 0.0466 -0.0179 -0.0021 0.0357 6.75 30 3 9.00 0.3338 0.2286 0.6312 0.4300
0.05 -0.5586 0.0626 0.0520 -0.0124 -0.0003 0.0411 6.75 30 3 9.00 0.3338 0.2286 0.6451 0.4401
0.075 -0.5728 0.0272 0.0465 -0.0106 -0.0034 0.0416 6.75 30 3 9.00 0.3338 0.2286 0.6531 0.4456
0.1 -0.5298 0.0148 0.0255 -0.0199 -0.0079 0.0375 6.75 30 3 9.00 0.3338 0.2286 0.6463 0.4541
0.15 -0.4797 0.0355 0.0194 0.0112 -0.0077 0.0325 6.75 30 3 9.00 0.3338 0.2286 0.6444 0.4544
0.2 -0.4806 0.0665 0.0274 0.0347 -0.0082 0.0318 6.75 30 3 9.00 0.3338 0.2286 0.6362 0.4571
0.25 -0.4454 0.0959 0.0396 0.0563 -0.0107 0.0369 6.75 30 3 9.00 0.3338 0.2286 0.6299 0.4609
0.3 -0.4297 0.1078 0.0503 0.0653 -0.0119 0.0466 6.75 30 3 9.00 0.3338 0.2286 0.6155 0.4720
0.4 -0.4130 0.1183 0.0607 0.0904 -0.0156 0.0549 6.75 30 3 9.00 0.3338 0.2286 0.5975 0.4940
0.5 -0.3880 0.1113 0.0680 0.1170 -0.0186 0.0585 6.75 30 3 9.00 0.3338 0.2286 0.5736 0.5035
0.75 -0.3263 0.1284 0.0679 0.1182 -0.0253 0.0617 6.75 30 3 9.00 0.3338 0.2286 0.5417 0.5350
1 -0.2449 0.1412 0.0668 0.1153 -0.0348 0.0550 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
1.5 -0.1780 0.1488 0.0685 0.1055 -0.0468 0.0361 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
2 -0.1714 0.1296 0.0600 0.0947 -0.0580 0.0170 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
3 -0.1723 0.1008 0.0566 0.0748 -0.0752 0.0027 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
4 -0.0644 0.0957 0.0448 0.0557 -0.0860 -0.0020 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
5 -0.0560 0.0740 0.0604 0.0646 -0.0707 0.0109 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
7.5 0.1171 0.0747 0.0620 0.0587 -0.0702 0.0129 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
10 0.1368 -0.0155 0.0632 0.0493 -0.0723 0.0095 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
"""
)
[docs]class EMME24BB_GMM1SGM2(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for lower range, central sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.4422 0.1433 0.0887 0.0013 -0.0536 0.0190 6.75 30 3 9.00 0.3382 0.2909 0.6245 0.4897
pga -0.3724 0.0732 0.0313 -0.0074 -0.0188 0.0346 6.75 30 3 9.00 0.4320 0.3281 0.6813 0.4894
0.01 -0.3463 0.0818 0.0262 -0.0220 -0.0172 0.0274 6.75 30 3 9.00 0.4320 0.3281 0.6817 0.4896
0.02 -0.3263 0.0835 0.0250 -0.0355 -0.0159 0.0276 6.75 30 3 9.00 0.4320 0.3281 0.6825 0.4897
0.03 -0.3922 0.0831 0.0339 -0.0289 -0.0079 0.0299 6.75 30 3 9.00 0.4320 0.3281 0.6969 0.4978
0.04 -0.4916 0.0758 0.0466 -0.0179 -0.0021 0.0357 6.75 30 3 9.00 0.4320 0.3281 0.7066 0.5020
0.05 -0.5586 0.0626 0.0520 -0.0124 -0.0003 0.0411 6.75 30 3 9.00 0.4320 0.3281 0.7193 0.5112
0.075 -0.5728 0.0272 0.0465 -0.0106 -0.0034 0.0416 6.75 30 3 9.00 0.4320 0.3281 0.7268 0.5256
0.1 -0.5298 0.0148 0.0255 -0.0199 -0.0079 0.0375 6.75 30 3 9.00 0.4320 0.3281 0.7206 0.5283
0.15 -0.4797 0.0355 0.0194 0.0112 -0.0077 0.0325 6.75 30 3 9.00 0.4320 0.3281 0.7189 0.5297
0.2 -0.4806 0.0665 0.0274 0.0347 -0.0082 0.0318 6.75 30 3 9.00 0.4320 0.3281 0.7112 0.5309
0.25 -0.4454 0.0959 0.0396 0.0563 -0.0107 0.0369 6.75 30 3 9.00 0.4320 0.3281 0.7056 0.5363
0.3 -0.4297 0.1078 0.0503 0.0653 -0.0119 0.0466 6.75 30 3 9.00 0.4320 0.3281 0.6926 0.5475
0.4 -0.4130 0.1183 0.0607 0.0904 -0.0156 0.0549 6.75 30 3 9.00 0.4320 0.3281 0.6765 0.5672
0.5 -0.3880 0.1113 0.0680 0.1170 -0.0186 0.0585 6.75 30 3 9.00 0.4320 0.3281 0.6547 0.5753
0.75 -0.3263 0.1284 0.0679 0.1182 -0.0253 0.0617 6.75 30 3 9.00 0.4320 0.3281 0.6264 0.6041
1 -0.2449 0.1412 0.0668 0.1153 -0.0348 0.0550 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
1.5 -0.1780 0.1488 0.0685 0.1055 -0.0468 0.0361 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
2 -0.1714 0.1296 0.0600 0.0947 -0.0580 0.0170 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
3 -0.1723 0.1008 0.0566 0.0748 -0.0752 0.0027 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
4 -0.0644 0.0957 0.0448 0.0557 -0.0860 -0.0020 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
5 -0.0560 0.0740 0.0604 0.0646 -0.0707 0.0109 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
7.5 0.1171 0.0747 0.0620 0.0587 -0.0702 0.0129 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
10 0.1368 -0.0155 0.0632 0.0493 -0.0723 0.0095 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
"""
)
[docs]class EMME24BB_GMM1SGM3(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for lower range, upper sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.4422 0.1433 0.0887 0.0013 -0.0536 0.0190 6.75 30 3 9.00 0.4681 0.4114 0.7129 0.5774
pga -0.3724 0.0732 0.0313 -0.0074 -0.0188 0.0346 6.75 30 3 9.00 0.5386 0.4394 0.7629 0.5677
0.01 -0.3463 0.0818 0.0262 -0.0220 -0.0172 0.0274 6.75 30 3 9.00 0.5386 0.4394 0.7633 0.5679
0.02 -0.3263 0.0835 0.0250 -0.0355 -0.0159 0.0276 6.75 30 3 9.00 0.5386 0.4394 0.7637 0.5685
0.03 -0.3922 0.0831 0.0339 -0.0289 -0.0079 0.0299 6.75 30 3 9.00 0.5386 0.4394 0.7765 0.5746
0.04 -0.4916 0.0758 0.0466 -0.0179 -0.0021 0.0357 6.75 30 3 9.00 0.5386 0.4394 0.7848 0.5778
0.05 -0.5586 0.0626 0.0520 -0.0124 -0.0003 0.0411 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.5859
0.075 -0.5728 0.0272 0.0465 -0.0106 -0.0034 0.0416 6.75 30 3 9.00 0.5386 0.4394 0.8032 0.5986
0.1 -0.5298 0.0148 0.0255 -0.0199 -0.0079 0.0375 6.75 30 3 9.00 0.5386 0.4394 0.7976 0.6024
0.15 -0.4797 0.0355 0.0194 0.0112 -0.0077 0.0325 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.6032
0.2 -0.4806 0.0665 0.0274 0.0347 -0.0082 0.0318 6.75 30 3 9.00 0.5386 0.4394 0.7890 0.6085
0.25 -0.4454 0.0959 0.0396 0.0563 -0.0107 0.0369 6.75 30 3 9.00 0.5386 0.4394 0.7842 0.6154
0.3 -0.4297 0.1078 0.0503 0.0653 -0.0119 0.0466 6.75 30 3 9.00 0.5386 0.4394 0.7728 0.6266
0.4 -0.4130 0.1183 0.0607 0.0904 -0.0156 0.0549 6.75 30 3 9.00 0.5386 0.4394 0.7586 0.6438
0.5 -0.3880 0.1113 0.0680 0.1170 -0.0186 0.0585 6.75 30 3 9.00 0.5386 0.4394 0.7394 0.6504
0.75 -0.3263 0.1284 0.0679 0.1182 -0.0253 0.0617 6.75 30 3 9.00 0.5386 0.4394 0.7151 0.6759
1 -0.2449 0.1412 0.0668 0.1153 -0.0348 0.0550 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
1.5 -0.1780 0.1488 0.0685 0.1055 -0.0468 0.0361 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
2 -0.1714 0.1296 0.0600 0.0947 -0.0580 0.0170 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
3 -0.1723 0.1008 0.0566 0.0748 -0.0752 0.0027 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
4 -0.0644 0.0957 0.0448 0.0557 -0.0860 -0.0020 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
5 -0.0560 0.0740 0.0604 0.0646 -0.0707 0.0109 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
7.5 0.1171 0.0747 0.0620 0.0587 -0.0702 0.0129 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
10 0.1368 -0.0155 0.0632 0.0493 -0.0723 0.0095 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
"""
)
[docs]class EMME24BB_GMM2SGM1(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for lower body, lower sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.2633 0.1074 0.0984 0.0252 -0.0371 -0.0217 6.75 30 3 9.00 0.2238 0.1859 0.5401 0.4069
pga -0.1973 0.0287 0.0378 0.0196 -0.0089 -0.0050 6.75 30 3 9.00 0.3338 0.2286 0.6029 0.4150
0.01 -0.1786 0.0339 0.0383 0.0093 -0.0089 -0.0079 6.75 30 3 9.00 0.3338 0.2286 0.6034 0.4154
0.02 -0.1661 0.0342 0.0385 -0.0030 -0.0072 -0.0076 6.75 30 3 9.00 0.3338 0.2286 0.6045 0.4163
0.03 -0.2260 0.0357 0.0443 0.0006 0.0007 -0.0064 6.75 30 3 9.00 0.3338 0.2286 0.6202 0.4247
0.04 -0.3058 0.0305 0.0534 0.0049 0.0060 -0.0037 6.75 30 3 9.00 0.3338 0.2286 0.6312 0.4300
0.05 -0.3602 0.0179 0.0566 0.0080 0.0073 -0.0007 6.75 30 3 9.00 0.3338 0.2286 0.6451 0.4401
0.075 -0.3731 -0.0102 0.0520 0.0108 0.0038 0.0000 6.75 30 3 9.00 0.3338 0.2286 0.6531 0.4456
0.1 -0.3287 -0.0263 0.0342 0.0103 0.0014 -0.0032 6.75 30 3 9.00 0.3338 0.2286 0.6463 0.4541
0.15 -0.2844 -0.0009 0.0310 0.0360 0.0032 -0.0046 6.75 30 3 9.00 0.3338 0.2286 0.6444 0.4544
0.2 -0.2764 0.0332 0.0396 0.0571 0.0029 -0.0009 6.75 30 3 9.00 0.3338 0.2286 0.6362 0.4571
0.25 -0.2483 0.0652 0.0511 0.0754 0.0008 0.0052 6.75 30 3 9.00 0.3338 0.2286 0.6299 0.4609
0.3 -0.2391 0.0834 0.0616 0.0865 0.0003 0.0148 6.75 30 3 9.00 0.3338 0.2286 0.6155 0.4720
0.4 -0.2254 0.0977 0.0685 0.1042 -0.0042 0.0238 6.75 30 3 9.00 0.3338 0.2286 0.5975 0.4940
0.5 -0.2101 0.0953 0.0748 0.1255 -0.0079 0.0294 6.75 30 3 9.00 0.3338 0.2286 0.5736 0.5035
0.75 -0.1618 0.1105 0.0748 0.1280 -0.0144 0.0350 6.75 30 3 9.00 0.3338 0.2286 0.5417 0.5350
1 -0.0991 0.1208 0.0720 0.1235 -0.0246 0.0315 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
1.5 -0.0374 0.1401 0.0759 0.1152 -0.0361 0.0215 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
2 -0.0221 0.1295 0.0698 0.1043 -0.0476 0.0094 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
3 0.0243 0.1219 0.0686 0.0880 -0.0669 -0.0013 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
4 0.1352 0.1161 0.0606 0.0721 -0.0780 -0.0002 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
5 0.1422 0.1057 0.0710 0.0737 -0.0698 0.0106 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
7.5 0.3641 0.1090 0.0722 0.0634 -0.0693 0.0127 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
10 0.4029 0.0290 0.0755 0.0532 -0.0712 0.0094 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
"""
)
[docs]class EMME24BB_GMM2SGM2(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for lower body, central sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.2633 0.1074 0.0984 0.0252 -0.0371 -0.0217 6.75 30 3 9.00 0.3382 0.2909 0.6245 0.4897
pga -0.1973 0.0287 0.0378 0.0196 -0.0089 -0.0050 6.75 30 3 9.00 0.4320 0.3281 0.6813 0.4894
0.01 -0.1786 0.0339 0.0383 0.0093 -0.0089 -0.0079 6.75 30 3 9.00 0.4320 0.3281 0.6817 0.4896
0.02 -0.1661 0.0342 0.0385 -0.0030 -0.0072 -0.0076 6.75 30 3 9.00 0.4320 0.3281 0.6825 0.4897
0.03 -0.2260 0.0357 0.0443 0.0006 0.0007 -0.0064 6.75 30 3 9.00 0.4320 0.3281 0.6969 0.4978
0.04 -0.3058 0.0305 0.0534 0.0049 0.0060 -0.0037 6.75 30 3 9.00 0.4320 0.3281 0.7066 0.5020
0.05 -0.3602 0.0179 0.0566 0.0080 0.0073 -0.0007 6.75 30 3 9.00 0.4320 0.3281 0.7193 0.5112
0.075 -0.3731 -0.0102 0.0520 0.0108 0.0038 0.0000 6.75 30 3 9.00 0.4320 0.3281 0.7268 0.5256
0.1 -0.3287 -0.0263 0.0342 0.0103 0.0014 -0.0032 6.75 30 3 9.00 0.4320 0.3281 0.7206 0.5283
0.15 -0.2844 -0.0009 0.0310 0.0360 0.0032 -0.0046 6.75 30 3 9.00 0.4320 0.3281 0.7189 0.5297
0.2 -0.2764 0.0332 0.0396 0.0571 0.0029 -0.0009 6.75 30 3 9.00 0.4320 0.3281 0.7112 0.5309
0.25 -0.2483 0.0652 0.0511 0.0754 0.0008 0.0052 6.75 30 3 9.00 0.4320 0.3281 0.7056 0.5363
0.3 -0.2391 0.0834 0.0616 0.0865 0.0003 0.0148 6.75 30 3 9.00 0.4320 0.3281 0.6926 0.5475
0.4 -0.2254 0.0977 0.0685 0.1042 -0.0042 0.0238 6.75 30 3 9.00 0.4320 0.3281 0.6765 0.5672
0.5 -0.2101 0.0953 0.0748 0.1255 -0.0079 0.0294 6.75 30 3 9.00 0.4320 0.3281 0.6547 0.5753
0.75 -0.1618 0.1105 0.0748 0.1280 -0.0144 0.0350 6.75 30 3 9.00 0.4320 0.3281 0.6264 0.6041
1 -0.0991 0.1208 0.0720 0.1235 -0.0246 0.0315 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
1.5 -0.0374 0.1401 0.0759 0.1152 -0.0361 0.0215 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
2 -0.0221 0.1295 0.0698 0.1043 -0.0476 0.0094 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
3 0.0243 0.1219 0.0686 0.0880 -0.0669 -0.0013 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
4 0.1352 0.1161 0.0606 0.0721 -0.0780 -0.0002 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
5 0.1422 0.1057 0.0710 0.0737 -0.0698 0.0106 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
7.5 0.3641 0.1090 0.0722 0.0634 -0.0693 0.0127 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
10 0.4029 0.0290 0.0755 0.0532 -0.0712 0.0094 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
"""
)
[docs]class EMME24BB_GMM2SGM3(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for lower body, upper sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.2633 0.1074 0.0984 0.0252 -0.0371 -0.0217 6.75 30 3 9.00 0.4681 0.4114 0.7129 0.5774
pga -0.1973 0.0287 0.0378 0.0196 -0.0089 -0.0050 6.75 30 3 9.00 0.5386 0.4394 0.7629 0.5677
0.01 -0.1786 0.0339 0.0383 0.0093 -0.0089 -0.0079 6.75 30 3 9.00 0.5386 0.4394 0.7633 0.5679
0.02 -0.1661 0.0342 0.0385 -0.0030 -0.0072 -0.0076 6.75 30 3 9.00 0.5386 0.4394 0.7637 0.5685
0.03 -0.2260 0.0357 0.0443 0.0006 0.0007 -0.0064 6.75 30 3 9.00 0.5386 0.4394 0.7765 0.5746
0.04 -0.3058 0.0305 0.0534 0.0049 0.0060 -0.0037 6.75 30 3 9.00 0.5386 0.4394 0.7848 0.5778
0.05 -0.3602 0.0179 0.0566 0.0080 0.0073 -0.0007 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.5859
0.075 -0.3731 -0.0102 0.0520 0.0108 0.0038 0.0000 6.75 30 3 9.00 0.5386 0.4394 0.8032 0.5986
0.1 -0.3287 -0.0263 0.0342 0.0103 0.0014 -0.0032 6.75 30 3 9.00 0.5386 0.4394 0.7976 0.6024
0.15 -0.2844 -0.0009 0.0310 0.0360 0.0032 -0.0046 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.6032
0.2 -0.2764 0.0332 0.0396 0.0571 0.0029 -0.0009 6.75 30 3 9.00 0.5386 0.4394 0.7890 0.6085
0.25 -0.2483 0.0652 0.0511 0.0754 0.0008 0.0052 6.75 30 3 9.00 0.5386 0.4394 0.7842 0.6154
0.3 -0.2391 0.0834 0.0616 0.0865 0.0003 0.0148 6.75 30 3 9.00 0.5386 0.4394 0.7728 0.6266
0.4 -0.2254 0.0977 0.0685 0.1042 -0.0042 0.0238 6.75 30 3 9.00 0.5386 0.4394 0.7586 0.6438
0.5 -0.2101 0.0953 0.0748 0.1255 -0.0079 0.0294 6.75 30 3 9.00 0.5386 0.4394 0.7394 0.6504
0.75 -0.1618 0.1105 0.0748 0.1280 -0.0144 0.0350 6.75 30 3 9.00 0.5386 0.4394 0.7151 0.6759
1 -0.0991 0.1208 0.0720 0.1235 -0.0246 0.0315 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
1.5 -0.0374 0.1401 0.0759 0.1152 -0.0361 0.0215 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
2 -0.0221 0.1295 0.0698 0.1043 -0.0476 0.0094 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
3 0.0243 0.1219 0.0686 0.0880 -0.0669 -0.0013 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
4 0.1352 0.1161 0.0606 0.0721 -0.0780 -0.0002 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
5 0.1422 0.1057 0.0710 0.0737 -0.0698 0.0106 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
7.5 0.3641 0.1090 0.0722 0.0634 -0.0693 0.0127 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
10 0.4029 0.0290 0.0755 0.0532 -0.0712 0.0094 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
"""
)
[docs]class EMME24BB_GMM3SGM1(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for center, lower sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.1220 0.0790 0.1061 0.0440 -0.0241 -0.0538 6.75 30 3 9.00 0.2238 0.1859 0.5401 0.4069
pga -0.0592 -0.0065 0.0430 0.0409 -0.0011 -0.0363 6.75 30 3 9.00 0.3338 0.2286 0.6029 0.4150
0.01 -0.0462 -0.0039 0.0479 0.0340 -0.0023 -0.0358 6.75 30 3 9.00 0.3338 0.2286 0.6034 0.4154
0.02 -0.0397 -0.0048 0.0492 0.0227 -0.0004 -0.0353 6.75 30 3 9.00 0.3338 0.2286 0.6045 0.4163
0.03 -0.0948 -0.0016 0.0525 0.0238 0.0076 -0.0350 6.75 30 3 9.00 0.3338 0.2286 0.6202 0.4247
0.04 -0.1592 -0.0052 0.0588 0.0228 0.0123 -0.0348 6.75 30 3 9.00 0.3338 0.2286 0.6312 0.4300
0.05 -0.2037 -0.0174 0.0603 0.0242 0.0133 -0.0337 6.75 30 3 9.00 0.3338 0.2286 0.6451 0.4401
0.075 -0.2154 -0.0397 0.0563 0.0277 0.0094 -0.0328 6.75 30 3 9.00 0.3338 0.2286 0.6531 0.4456
0.1 -0.1699 -0.0587 0.0411 0.0341 0.0086 -0.0354 6.75 30 3 9.00 0.3338 0.2286 0.6463 0.4541
0.15 -0.1302 -0.0297 0.0401 0.0557 0.0117 -0.0338 6.75 30 3 9.00 0.3338 0.2286 0.6444 0.4544
0.2 -0.1152 0.0069 0.0492 0.0748 0.0117 -0.0266 6.75 30 3 9.00 0.3338 0.2286 0.6362 0.4571
0.25 -0.0927 0.0410 0.0601 0.0906 0.0100 -0.0199 6.75 30 3 9.00 0.3338 0.2286 0.6299 0.4609
0.3 -0.0885 0.0642 0.0705 0.1031 0.0098 -0.0103 6.75 30 3 9.00 0.3338 0.2286 0.6155 0.4720
0.4 -0.0773 0.0814 0.0747 0.1150 0.0048 -0.0008 6.75 30 3 9.00 0.3338 0.2286 0.5975 0.4940
0.5 -0.0697 0.0827 0.0801 0.1323 0.0005 0.0065 6.75 30 3 9.00 0.3338 0.2286 0.5736 0.5035
0.75 -0.0320 0.0963 0.0803 0.1357 -0.0057 0.0139 6.75 30 3 9.00 0.3338 0.2286 0.5417 0.5350
1 0.0160 0.1046 0.0761 0.1300 -0.0165 0.0129 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
1.5 0.0736 0.1332 0.0818 0.1228 -0.0277 0.0100 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
2 0.0959 0.1295 0.0775 0.1119 -0.0394 0.0034 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
3 0.1795 0.1385 0.0780 0.0983 -0.0603 -0.0045 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
4 0.2927 0.1322 0.0731 0.0850 -0.0717 0.0012 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
5 0.3769 0.1307 0.0793 0.0810 -0.0690 0.0105 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
7.5 0.5590 0.1361 0.0802 0.0670 -0.0685 0.0126 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
10 0.6130 0.0954 0.0852 0.0563 -0.0704 0.0093 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
"""
)
[docs]class EMME24BB_GMM3SGM2(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for center, central sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.1220 0.0790 0.1061 0.0440 -0.0241 -0.0538 6.75 30 3 9.00 0.3382 0.2909 0.6245 0.4897
pga -0.0592 -0.0065 0.0430 0.0409 -0.0011 -0.0363 6.75 30 3 9.00 0.4320 0.3281 0.6813 0.4894
0.01 -0.0462 -0.0039 0.0479 0.0340 -0.0023 -0.0358 6.75 30 3 9.00 0.4320 0.3281 0.6817 0.4896
0.02 -0.0397 -0.0048 0.0492 0.0227 -0.0004 -0.0353 6.75 30 3 9.00 0.4320 0.3281 0.6825 0.4897
0.03 -0.0948 -0.0016 0.0525 0.0238 0.0076 -0.0350 6.75 30 3 9.00 0.4320 0.3281 0.6969 0.4978
0.04 -0.1592 -0.0052 0.0588 0.0228 0.0123 -0.0348 6.75 30 3 9.00 0.4320 0.3281 0.7066 0.5020
0.05 -0.2037 -0.0174 0.0603 0.0242 0.0133 -0.0337 6.75 30 3 9.00 0.4320 0.3281 0.7193 0.5112
0.075 -0.2154 -0.0397 0.0563 0.0277 0.0094 -0.0328 6.75 30 3 9.00 0.4320 0.3281 0.7268 0.5256
0.1 -0.1699 -0.0587 0.0411 0.0341 0.0086 -0.0354 6.75 30 3 9.00 0.4320 0.3281 0.7206 0.5283
0.15 -0.1302 -0.0297 0.0401 0.0557 0.0117 -0.0338 6.75 30 3 9.00 0.4320 0.3281 0.7189 0.5297
0.2 -0.1152 0.0069 0.0492 0.0748 0.0117 -0.0266 6.75 30 3 9.00 0.4320 0.3281 0.7112 0.5309
0.25 -0.0927 0.0410 0.0601 0.0906 0.0100 -0.0199 6.75 30 3 9.00 0.4320 0.3281 0.7056 0.5363
0.3 -0.0885 0.0642 0.0705 0.1031 0.0098 -0.0103 6.75 30 3 9.00 0.4320 0.3281 0.6926 0.5475
0.4 -0.0773 0.0814 0.0747 0.1150 0.0048 -0.0008 6.75 30 3 9.00 0.4320 0.3281 0.6765 0.5672
0.5 -0.0697 0.0827 0.0801 0.1323 0.0005 0.0065 6.75 30 3 9.00 0.4320 0.3281 0.6547 0.5753
0.75 -0.0320 0.0963 0.0803 0.1357 -0.0057 0.0139 6.75 30 3 9.00 0.4320 0.3281 0.6264 0.6041
1 0.0160 0.1046 0.0761 0.1300 -0.0165 0.0129 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
1.5 0.0736 0.1332 0.0818 0.1228 -0.0277 0.0100 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
2 0.0959 0.1295 0.0775 0.1119 -0.0394 0.0034 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
3 0.1795 0.1385 0.0780 0.0983 -0.0603 -0.0045 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
4 0.2927 0.1322 0.0731 0.0850 -0.0717 0.0012 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
5 0.3769 0.1307 0.0793 0.0810 -0.0690 0.0105 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
7.5 0.5590 0.1361 0.0802 0.0670 -0.0685 0.0126 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
10 0.6130 0.0954 0.0852 0.0563 -0.0704 0.0093 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
"""
)
[docs]class EMME24BB_GMM3SGM3(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for center, upper sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv -0.1220 0.0790 0.1061 0.0440 -0.0241 -0.0538 6.75 30 3 9.00 0.4681 0.4114 0.7129 0.5774
pga -0.0592 -0.0065 0.0430 0.0409 -0.0011 -0.0363 6.75 30 3 9.00 0.5386 0.4394 0.7629 0.5677
0.01 -0.0462 -0.0039 0.0479 0.0340 -0.0023 -0.0358 6.75 30 3 9.00 0.5386 0.4394 0.7633 0.5679
0.02 -0.0397 -0.0048 0.0492 0.0227 -0.0004 -0.0353 6.75 30 3 9.00 0.5386 0.4394 0.7637 0.5685
0.03 -0.0948 -0.0016 0.0525 0.0238 0.0076 -0.0350 6.75 30 3 9.00 0.5386 0.4394 0.7765 0.5746
0.04 -0.1592 -0.0052 0.0588 0.0228 0.0123 -0.0348 6.75 30 3 9.00 0.5386 0.4394 0.7848 0.5778
0.05 -0.2037 -0.0174 0.0603 0.0242 0.0133 -0.0337 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.5859
0.075 -0.2154 -0.0397 0.0563 0.0277 0.0094 -0.0328 6.75 30 3 9.00 0.5386 0.4394 0.8032 0.5986
0.1 -0.1699 -0.0587 0.0411 0.0341 0.0086 -0.0354 6.75 30 3 9.00 0.5386 0.4394 0.7976 0.6024
0.15 -0.1302 -0.0297 0.0401 0.0557 0.0117 -0.0338 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.6032
0.2 -0.1152 0.0069 0.0492 0.0748 0.0117 -0.0266 6.75 30 3 9.00 0.5386 0.4394 0.7890 0.6085
0.25 -0.0927 0.0410 0.0601 0.0906 0.0100 -0.0199 6.75 30 3 9.00 0.5386 0.4394 0.7842 0.6154
0.3 -0.0885 0.0642 0.0705 0.1031 0.0098 -0.0103 6.75 30 3 9.00 0.5386 0.4394 0.7728 0.6266
0.4 -0.0773 0.0814 0.0747 0.1150 0.0048 -0.0008 6.75 30 3 9.00 0.5386 0.4394 0.7586 0.6438
0.5 -0.0697 0.0827 0.0801 0.1323 0.0005 0.0065 6.75 30 3 9.00 0.5386 0.4394 0.7394 0.6504
0.75 -0.0320 0.0963 0.0803 0.1357 -0.0057 0.0139 6.75 30 3 9.00 0.5386 0.4394 0.7151 0.6759
1 0.0160 0.1046 0.0761 0.1300 -0.0165 0.0129 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
1.5 0.0736 0.1332 0.0818 0.1228 -0.0277 0.0100 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
2 0.0959 0.1295 0.0775 0.1119 -0.0394 0.0034 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
3 0.1795 0.1385 0.0780 0.0983 -0.0603 -0.0045 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
4 0.2927 0.1322 0.0731 0.0850 -0.0717 0.0012 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
5 0.3769 0.1307 0.0793 0.0810 -0.0690 0.0105 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
7.5 0.5590 0.1361 0.0802 0.0670 -0.0685 0.0126 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
10 0.6130 0.0954 0.0852 0.0563 -0.0704 0.0093 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
"""
)
[docs]class EMME24BB_GMM4SGM1(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for upper body, lower sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv 0.0192 0.0507 0.1137 0.0628 -0.0111 -0.0859 6.75 30 3 9.00 0.2238 0.1859 0.5401 0.4069
pga 0.0790 -0.0416 0.0482 0.0622 0.0067 -0.0675 6.75 30 3 9.00 0.3338 0.2286 0.6029 0.4150
0.01 0.0862 -0.0418 0.0575 0.0587 0.0043 -0.0637 6.75 30 3 9.00 0.3338 0.2286 0.6034 0.4154
0.02 0.0867 -0.0437 0.0599 0.0484 0.0064 -0.0630 6.75 30 3 9.00 0.3338 0.2286 0.6045 0.4163
0.03 0.0364 -0.0390 0.0607 0.0471 0.0144 -0.0637 6.75 30 3 9.00 0.3338 0.2286 0.6202 0.4247
0.04 -0.0125 -0.0409 0.0642 0.0408 0.0186 -0.0660 6.75 30 3 9.00 0.3338 0.2286 0.6312 0.4300
0.05 -0.0471 -0.0527 0.0640 0.0403 0.0193 -0.0667 6.75 30 3 9.00 0.3338 0.2286 0.6451 0.4401
0.075 -0.0577 -0.0692 0.0606 0.0446 0.0151 -0.0656 6.75 30 3 9.00 0.3338 0.2286 0.6531 0.4456
0.1 -0.0111 -0.0911 0.0480 0.0578 0.0159 -0.0675 6.75 30 3 9.00 0.3338 0.2286 0.6463 0.4541
0.15 0.0240 -0.0584 0.0492 0.0753 0.0203 -0.0631 6.75 30 3 9.00 0.3338 0.2286 0.6444 0.4544
0.2 0.0460 -0.0194 0.0588 0.0924 0.0205 -0.0524 6.75 30 3 9.00 0.3338 0.2286 0.6362 0.4571
0.25 0.0628 0.0168 0.0692 0.1057 0.0191 -0.0449 6.75 30 3 9.00 0.3338 0.2286 0.6299 0.4609
0.3 0.0620 0.0449 0.0795 0.1198 0.0194 -0.0354 6.75 30 3 9.00 0.3338 0.2286 0.6155 0.4720
0.4 0.0708 0.0652 0.0809 0.1259 0.0137 -0.0253 6.75 30 3 9.00 0.3338 0.2286 0.5975 0.4940
0.5 0.0708 0.0700 0.0854 0.1390 0.0089 -0.0165 6.75 30 3 9.00 0.3338 0.2286 0.5736 0.5035
0.75 0.0979 0.0821 0.0858 0.1434 0.0029 -0.0072 6.75 30 3 9.00 0.3338 0.2286 0.5417 0.5350
1 0.1310 0.0885 0.0803 0.1365 -0.0084 -0.0056 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
1.5 0.1846 0.1263 0.0877 0.1304 -0.0192 -0.0014 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
2 0.2138 0.1295 0.0853 0.1195 -0.0312 -0.0026 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
3 0.3347 0.1552 0.0874 0.1087 -0.0538 -0.0048 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
4 0.4409 0.1483 0.0856 0.0980 -0.0654 0.0027 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
5 0.5598 0.1557 0.0877 0.0882 -0.0683 0.0103 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
7.5 0.7540 0.1632 0.0883 0.0707 -0.0678 0.0124 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
10 0.8231 0.1376 0.0949 0.0593 -0.0695 0.0092 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
"""
)
[docs]class EMME24BB_GMM4SGM2(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for upper body, central sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv 0.0192 0.0507 0.1137 0.0628 -0.0111 -0.0859 6.75 30 3 9.00 0.3382 0.2909 0.6245 0.4897
pga 0.0790 -0.0416 0.0482 0.0622 0.0067 -0.0675 6.75 30 3 9.00 0.4320 0.3281 0.6813 0.4894
0.01 0.0862 -0.0418 0.0575 0.0587 0.0043 -0.0637 6.75 30 3 9.00 0.4320 0.3281 0.6817 0.4896
0.02 0.0867 -0.0437 0.0599 0.0484 0.0064 -0.0630 6.75 30 3 9.00 0.4320 0.3281 0.6825 0.4897
0.03 0.0364 -0.0390 0.0607 0.0471 0.0144 -0.0637 6.75 30 3 9.00 0.4320 0.3281 0.6969 0.4978
0.04 -0.0125 -0.0409 0.0642 0.0408 0.0186 -0.0660 6.75 30 3 9.00 0.4320 0.3281 0.7066 0.5020
0.05 -0.0471 -0.0527 0.0640 0.0403 0.0193 -0.0667 6.75 30 3 9.00 0.4320 0.3281 0.7193 0.5112
0.075 -0.0577 -0.0692 0.0606 0.0446 0.0151 -0.0656 6.75 30 3 9.00 0.4320 0.3281 0.7268 0.5256
0.1 -0.0111 -0.0911 0.0480 0.0578 0.0159 -0.0675 6.75 30 3 9.00 0.4320 0.3281 0.7206 0.5283
0.15 0.0240 -0.0584 0.0492 0.0753 0.0203 -0.0631 6.75 30 3 9.00 0.4320 0.3281 0.7189 0.5297
0.2 0.0460 -0.0194 0.0588 0.0924 0.0205 -0.0524 6.75 30 3 9.00 0.4320 0.3281 0.7112 0.5309
0.25 0.0628 0.0168 0.0692 0.1057 0.0191 -0.0449 6.75 30 3 9.00 0.4320 0.3281 0.7056 0.5363
0.3 0.0620 0.0449 0.0795 0.1198 0.0194 -0.0354 6.75 30 3 9.00 0.4320 0.3281 0.6926 0.5475
0.4 0.0708 0.0652 0.0809 0.1259 0.0137 -0.0253 6.75 30 3 9.00 0.4320 0.3281 0.6765 0.5672
0.5 0.0708 0.0700 0.0854 0.1390 0.0089 -0.0165 6.75 30 3 9.00 0.4320 0.3281 0.6547 0.5753
0.75 0.0979 0.0821 0.0858 0.1434 0.0029 -0.0072 6.75 30 3 9.00 0.4320 0.3281 0.6264 0.6041
1 0.1310 0.0885 0.0803 0.1365 -0.0084 -0.0056 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
1.5 0.1846 0.1263 0.0877 0.1304 -0.0192 -0.0014 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
2 0.2138 0.1295 0.0853 0.1195 -0.0312 -0.0026 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
3 0.3347 0.1552 0.0874 0.1087 -0.0538 -0.0048 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
4 0.4409 0.1483 0.0856 0.0980 -0.0654 0.0027 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
5 0.5598 0.1557 0.0877 0.0882 -0.0683 0.0103 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
7.5 0.7540 0.1632 0.0883 0.0707 -0.0678 0.0124 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
10 0.8231 0.1376 0.0949 0.0593 -0.0695 0.0092 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
"""
)
[docs]class EMME24BB_GMM4SGM3(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for upper body, upper sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv 0.0192 0.0507 0.1137 0.0628 -0.0111 -0.0859 6.75 30 3 9.00 0.4681 0.4114 0.7129 0.5774
pga 0.0790 -0.0416 0.0482 0.0622 0.0067 -0.0675 6.75 30 3 9.00 0.5386 0.4394 0.7629 0.5677
0.01 0.0862 -0.0418 0.0575 0.0587 0.0043 -0.0637 6.75 30 3 9.00 0.5386 0.4394 0.7633 0.5679
0.02 0.0867 -0.0437 0.0599 0.0484 0.0064 -0.0630 6.75 30 3 9.00 0.5386 0.4394 0.7637 0.5685
0.03 0.0364 -0.0390 0.0607 0.0471 0.0144 -0.0637 6.75 30 3 9.00 0.5386 0.4394 0.7765 0.5746
0.04 -0.0125 -0.0409 0.0642 0.0408 0.0186 -0.0660 6.75 30 3 9.00 0.5386 0.4394 0.7848 0.5778
0.05 -0.0471 -0.0527 0.0640 0.0403 0.0193 -0.0667 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.5859
0.075 -0.0577 -0.0692 0.0606 0.0446 0.0151 -0.0656 6.75 30 3 9.00 0.5386 0.4394 0.8032 0.5986
0.1 -0.0111 -0.0911 0.0480 0.0578 0.0159 -0.0675 6.75 30 3 9.00 0.5386 0.4394 0.7976 0.6024
0.15 0.0240 -0.0584 0.0492 0.0753 0.0203 -0.0631 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.6032
0.2 0.0460 -0.0194 0.0588 0.0924 0.0205 -0.0524 6.75 30 3 9.00 0.5386 0.4394 0.7890 0.6085
0.25 0.0628 0.0168 0.0692 0.1057 0.0191 -0.0449 6.75 30 3 9.00 0.5386 0.4394 0.7842 0.6154
0.3 0.0620 0.0449 0.0795 0.1198 0.0194 -0.0354 6.75 30 3 9.00 0.5386 0.4394 0.7728 0.6266
0.4 0.0708 0.0652 0.0809 0.1259 0.0137 -0.0253 6.75 30 3 9.00 0.5386 0.4394 0.7586 0.6438
0.5 0.0708 0.0700 0.0854 0.1390 0.0089 -0.0165 6.75 30 3 9.00 0.5386 0.4394 0.7394 0.6504
0.75 0.0979 0.0821 0.0858 0.1434 0.0029 -0.0072 6.75 30 3 9.00 0.5386 0.4394 0.7151 0.6759
1 0.1310 0.0885 0.0803 0.1365 -0.0084 -0.0056 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
1.5 0.1846 0.1263 0.0877 0.1304 -0.0192 -0.0014 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
2 0.2138 0.1295 0.0853 0.1195 -0.0312 -0.0026 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
3 0.3347 0.1552 0.0874 0.1087 -0.0538 -0.0048 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
4 0.4409 0.1483 0.0856 0.0980 -0.0654 0.0027 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
5 0.5598 0.1557 0.0877 0.0882 -0.0683 0.0103 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
7.5 0.7540 0.1632 0.0883 0.0707 -0.0678 0.0124 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
10 0.8231 0.1376 0.0949 0.0593 -0.0695 0.0092 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
"""
)
[docs]class EMME24BB_GMM5SGM1(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for upper range, lower sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv 0.1981 0.0148 0.1234 0.0867 0.0054 -0.1265 6.75 30 3 9.00 0.2238 0.1859 0.5401 0.4069
pga 0.2540 -0.0861 0.0547 0.0892 0.0166 -0.1072 6.75 30 3 9.00 0.3338 0.2286 0.6029 0.4150
0.01 0.2540 -0.0897 0.0696 0.0901 0.0126 -0.0991 6.75 30 3 9.00 0.3338 0.2286 0.6034 0.4154
0.02 0.2468 -0.0930 0.0735 0.0809 0.0151 -0.0982 6.75 30 3 9.00 0.3338 0.2286 0.6045 0.4163
0.03 0.2026 -0.0864 0.0712 0.0766 0.0231 -0.1000 6.75 30 3 9.00 0.3338 0.2286 0.6202 0.4247
0.04 0.1732 -0.0861 0.0710 0.0636 0.0267 -0.1054 6.75 30 3 9.00 0.3338 0.2286 0.6312 0.4300
0.05 0.1512 -0.0973 0.0686 0.0608 0.0268 -0.1085 6.75 30 3 9.00 0.3338 0.2286 0.6451 0.4401
0.075 0.1420 -0.1066 0.0661 0.0660 0.0223 -0.1071 6.75 30 3 9.00 0.3338 0.2286 0.6531 0.4456
0.1 0.1901 -0.1322 0.0567 0.0880 0.0251 -0.1083 6.75 30 3 9.00 0.3338 0.2286 0.6463 0.4541
0.15 0.2194 -0.0948 0.0608 0.1002 0.0311 -0.1001 6.75 30 3 9.00 0.3338 0.2286 0.6444 0.4544
0.2 0.2501 -0.0526 0.0709 0.1148 0.0316 -0.0850 6.75 30 3 9.00 0.3338 0.2286 0.6362 0.4571
0.25 0.2599 -0.0139 0.0807 0.1249 0.0307 -0.0766 6.75 30 3 9.00 0.3338 0.2286 0.6299 0.4609
0.3 0.2527 0.0205 0.0908 0.1409 0.0315 -0.0672 6.75 30 3 9.00 0.3338 0.2286 0.6155 0.4720
0.4 0.2584 0.0446 0.0887 0.1396 0.0251 -0.0564 6.75 30 3 9.00 0.3338 0.2286 0.5975 0.4940
0.5 0.2487 0.0540 0.0922 0.1475 0.0196 -0.0455 6.75 30 3 9.00 0.3338 0.2286 0.5736 0.5035
0.75 0.2624 0.0642 0.0927 0.1532 0.0138 -0.0340 6.75 30 3 9.00 0.3338 0.2286 0.5417 0.5350
1 0.2768 0.0681 0.0855 0.1448 0.0018 -0.0291 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
1.5 0.3252 0.1176 0.0952 0.1401 -0.0086 -0.0160 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
2 0.3631 0.1294 0.0951 0.1292 -0.0209 -0.0102 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
3 0.5313 0.1763 0.0994 0.1219 -0.0454 -0.0029 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
4 0.6230 0.1688 0.1014 0.1144 -0.0574 0.0045 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
5 0.7781 0.1874 0.0982 0.0973 -0.0674 0.0101 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
7.5 1.0010 0.1976 0.0985 0.0753 -0.0668 0.0123 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
10 1.0893 0.1817 0.1072 0.0632 -0.0685 0.0091 6.75 30 3 9.00 0.3338 0.2286 0.5394 0.5394
"""
)
[docs]class EMME24BB_GMM5SGM2(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for upper range, central sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv 0.1981 0.0148 0.1234 0.0867 0.0054 -0.1265 6.75 30 3 9.00 0.3382 0.2909 0.6245 0.4897
pga 0.2540 -0.0861 0.0547 0.0892 0.0166 -0.1072 6.75 30 3 9.00 0.4320 0.3281 0.6813 0.4894
0.01 0.2540 -0.0897 0.0696 0.0901 0.0126 -0.0991 6.75 30 3 9.00 0.4320 0.3281 0.6817 0.4896
0.02 0.2468 -0.0930 0.0735 0.0809 0.0151 -0.0982 6.75 30 3 9.00 0.4320 0.3281 0.6825 0.4897
0.03 0.2026 -0.0864 0.0712 0.0766 0.0231 -0.1000 6.75 30 3 9.00 0.4320 0.3281 0.6969 0.4978
0.04 0.1732 -0.0861 0.0710 0.0636 0.0267 -0.1054 6.75 30 3 9.00 0.4320 0.3281 0.7066 0.5020
0.05 0.1512 -0.0973 0.0686 0.0608 0.0268 -0.1085 6.75 30 3 9.00 0.4320 0.3281 0.7193 0.5112
0.075 0.1420 -0.1066 0.0661 0.0660 0.0223 -0.1071 6.75 30 3 9.00 0.4320 0.3281 0.7268 0.5256
0.1 0.1901 -0.1322 0.0567 0.0880 0.0251 -0.1083 6.75 30 3 9.00 0.4320 0.3281 0.7206 0.5283
0.15 0.2194 -0.0948 0.0608 0.1002 0.0311 -0.1001 6.75 30 3 9.00 0.4320 0.3281 0.7189 0.5297
0.2 0.2501 -0.0526 0.0709 0.1148 0.0316 -0.0850 6.75 30 3 9.00 0.4320 0.3281 0.7112 0.5309
0.25 0.2599 -0.0139 0.0807 0.1249 0.0307 -0.0766 6.75 30 3 9.00 0.4320 0.3281 0.7056 0.5363
0.3 0.2527 0.0205 0.0908 0.1409 0.0315 -0.0672 6.75 30 3 9.00 0.4320 0.3281 0.6926 0.5475
0.4 0.2584 0.0446 0.0887 0.1396 0.0251 -0.0564 6.75 30 3 9.00 0.4320 0.3281 0.6765 0.5672
0.5 0.2487 0.0540 0.0922 0.1475 0.0196 -0.0455 6.75 30 3 9.00 0.4320 0.3281 0.6547 0.5753
0.75 0.2624 0.0642 0.0927 0.1532 0.0138 -0.0340 6.75 30 3 9.00 0.4320 0.3281 0.6264 0.6041
1 0.2768 0.0681 0.0855 0.1448 0.0018 -0.0291 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
1.5 0.3252 0.1176 0.0952 0.1401 -0.0086 -0.0160 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
2 0.3631 0.1294 0.0951 0.1292 -0.0209 -0.0102 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
3 0.5313 0.1763 0.0994 0.1219 -0.0454 -0.0029 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
4 0.6230 0.1688 0.1014 0.1144 -0.0574 0.0045 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
5 0.7781 0.1874 0.0982 0.0973 -0.0674 0.0101 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
7.5 1.0010 0.1976 0.0985 0.0753 -0.0668 0.0123 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
10 1.0893 0.1817 0.1072 0.0632 -0.0685 0.0091 6.75 30 3 9.00 0.4320 0.3281 0.6080 0.6080
"""
)
[docs]class EMME24BB_GMM5SGM3(EMME24BB_GMM1SGM1):
"""
EMME24 backbone branch for upper range, upper sigma model
"""
COEFFS_BB = CoeffsTable(sa_damping=5, table="""\
IMT c1 c2 c3 c4 c5 c6 Mref Rref hfict Mh tau1 tau2 phi1 phi2
pgv 0.1981 0.0148 0.1234 0.0867 0.0054 -0.1265 6.75 30 3 9.00 0.4681 0.4114 0.7129 0.5774
pga 0.2540 -0.0861 0.0547 0.0892 0.0166 -0.1072 6.75 30 3 9.00 0.5386 0.4394 0.7629 0.5677
0.01 0.2540 -0.0897 0.0696 0.0901 0.0126 -0.0991 6.75 30 3 9.00 0.5386 0.4394 0.7633 0.5679
0.02 0.2468 -0.0930 0.0735 0.0809 0.0151 -0.0982 6.75 30 3 9.00 0.5386 0.4394 0.7637 0.5685
0.03 0.2026 -0.0864 0.0712 0.0766 0.0231 -0.1000 6.75 30 3 9.00 0.5386 0.4394 0.7765 0.5746
0.04 0.1732 -0.0861 0.0710 0.0636 0.0267 -0.1054 6.75 30 3 9.00 0.5386 0.4394 0.7848 0.5778
0.05 0.1512 -0.0973 0.0686 0.0608 0.0268 -0.1085 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.5859
0.075 0.1420 -0.1066 0.0661 0.0660 0.0223 -0.1071 6.75 30 3 9.00 0.5386 0.4394 0.8032 0.5986
0.1 0.1901 -0.1322 0.0567 0.0880 0.0251 -0.1083 6.75 30 3 9.00 0.5386 0.4394 0.7976 0.6024
0.15 0.2194 -0.0948 0.0608 0.1002 0.0311 -0.1001 6.75 30 3 9.00 0.5386 0.4394 0.7962 0.6032
0.2 0.2501 -0.0526 0.0709 0.1148 0.0316 -0.0850 6.75 30 3 9.00 0.5386 0.4394 0.7890 0.6085
0.25 0.2599 -0.0139 0.0807 0.1249 0.0307 -0.0766 6.75 30 3 9.00 0.5386 0.4394 0.7842 0.6154
0.3 0.2527 0.0205 0.0908 0.1409 0.0315 -0.0672 6.75 30 3 9.00 0.5386 0.4394 0.7728 0.6266
0.4 0.2584 0.0446 0.0887 0.1396 0.0251 -0.0564 6.75 30 3 9.00 0.5386 0.4394 0.7586 0.6438
0.5 0.2487 0.0540 0.0922 0.1475 0.0196 -0.0455 6.75 30 3 9.00 0.5386 0.4394 0.7394 0.6504
0.75 0.2624 0.0642 0.0927 0.1532 0.0138 -0.0340 6.75 30 3 9.00 0.5386 0.4394 0.7151 0.6759
1 0.2768 0.0681 0.0855 0.1448 0.0018 -0.0291 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
1.5 0.3252 0.1176 0.0952 0.1401 -0.0086 -0.0160 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
2 0.3631 0.1294 0.0951 0.1292 -0.0209 -0.0102 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
3 0.5313 0.1763 0.0994 0.1219 -0.0454 -0.0029 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
4 0.6230 0.1688 0.1014 0.1144 -0.0574 0.0045 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
5 0.7781 0.1874 0.0982 0.0973 -0.0674 0.0101 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
7.5 1.0010 0.1976 0.0985 0.0753 -0.0668 0.0123 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
10 1.0893 0.1817 0.1072 0.0632 -0.0685 0.0091 6.75 30 3 9.00 0.5386 0.4394 0.6925 0.6925
"""
)
