Source code for openquake.hazardlib.gsim.cauzzi_faccioli_2008

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2012-2022 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:`CauzziFaccioli2008`.
"""
import numpy as np
# standard acceleration of gravity in m/s**2
from scipy.constants import g

from openquake.hazardlib.gsim.base import CoeffsTable, GMPE
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, PGV, SA


def _compute_faulting_style_term(C, rake):
    """
    Compute faulting style term as a function of rake angle value as given
    in equation 5 page 465.
    """
    term = np.full_like(rake, C['aS'])
    term[(rake > -120.0) & (rake <= -60.0)] = C['aN']
    term[(rake > 30.0) & (rake <= 150.0)] = C['aR']
    return term


def _compute_mean(kind, C, mag, ctx, vs30, rake, imt):
    # For the 2008 version, compute mean value for PGV, PGA and Displacement
    # responce spectrum,  as given in equation 2, page 462 with the addition
    # of the faulting style term as given in equation 5, page 465. Converts
    # also displacement responce spectrum values to SA.
    # Forthe 2010 version, return mean value computed using equation 2,
    # page 2, plus site term and faulting style term, equations 3 and 5, page 3
    mean = (_compute_term_1_2(C, mag) +
            _compute_term_3(kind, C, ctx, mag) +
            _compute_site_term(C, vs30) +
            _compute_faulting_style_term(C, rake))

    # convert from cm/s**2 to g for SA and from m/s**2 to g for PGA (PGV
    # is already in cm/s) and also convert from base 10 to base e.
    if imt.string == "PGA":
        mean = np.log((10 ** mean) / g)
    elif imt.string[:2] == "SA":
        mean = np.log((10 ** mean) * ((2 * np.pi / imt.period) ** 2) *
                      1e-2 / g)
    else:
        mean = np.log(10 ** mean)

    return mean


def _compute_site_term(C, vs30):
    """
    Compute site term as a function of vs30: 4th, 5th and 6th terms in
    equation 2 page 462.
    """
    # for rock values the site term is zero
    site_term = np.zeros_like(vs30)

    # hard soil
    site_term[(vs30 >= 360) & (vs30 < 800)] = C['aB']

    # medium soil
    site_term[(vs30 >= 180) & (vs30 < 360)] = C['aC']

    # soft soil
    site_term[vs30 < 180] = C['aD']

    return site_term


def _compute_term_1_2(C, mag):
    """
    Compute terms 1 and 2 in equation 2 page 462.
    """
    return C['a1'] + C['a2'] * mag


def _compute_term_3(kind, C, ctx, mag):
    """
    Compute term 3 for the 2008 version or the 2010 version of the GMPE
    """
    if kind == "2008":
        # see equation 2 page 462
        # Distances are clipped at 15 km (as per Ezio Faccioli's personal
        # communication.)
        d = np.array(ctx.rhypo)  # make a copy
        d[d <= 15.0] = 15.0
        return C['a3'] * np.log10(d)
    elif kind == "2010":
        # This computes the third term in equation 2, page 2.
        log = np.log10(ctx.rrup + C['a4'] * np.power(10, C['a5'] * mag))
        return C['a3'] * log


[docs]class CauzziFaccioli2008(GMPE): """ Implements GMPE developed by Carlo Cauzzi and Ezio Faccioli and published as "Broadband (0.05 to 20s) prediction of displacement response spectra based on worldwide digital records" (Journal of Seismology, 2008, volume 12, pages 453-475). This class implements the prediction equations for horizontal peak ground acceleration, peak ground velocity and 5%-damped spectral acceleration (equation 2, page 462, plus faulting style term as given in equation 5, page 465). Coefficients for PGV are not present in the original paper but were developed for the SHARE (http://www.share-eu.org/) project. Hypocentral distances are clipped at 15 km (as for Faccioli's personal communication). Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula :: SA = DSR * (2 * π / T) ** 2 """ #: Supported tectonic region type is active shallow crust, #: see end of 'Introduction', page 454. DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST #: Supported intensity measure types are spectral acceleration, peak #: ground acceleration and peak ground velocity. #: The original paper provides coefficients for PGA and PGV, while SA #: is obtained from displacement response spectrum values. DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, PGV, SA} #: Supported intensity measure component is the geometric mean of two #: horizontal components #: :attr:`~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL`, #: see paragraph 'On functional forms', page 462. DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL #: Supported standard deviation type is only total, see paragraph 'On #: functional forms', page 462. DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL} DEFINED_FOR_REFERENCE_VELOCITY = 1000. #: Required site parameter is only Vs30 (used to distinguish rock #: and deep soils), see paragraph 'On functional forms', page 463. REQUIRES_SITES_PARAMETERS = {'vs30'} #: Required rupture parameters are magnitude and rake, see paragraph 'On #: functional forms', page 463 REQUIRES_RUPTURE_PARAMETERS = {'rake', 'mag'} #: Required distance measure is Rhypo, see paragraph 'Distance', page 456. REQUIRES_DISTANCES = {'rhypo'} kind = "2008"
[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. """ for m, imt in enumerate(imts): C = self.COEFFS[imt] mean[m] = _compute_mean(self.kind, C, ctx.mag, ctx, ctx.vs30, ctx.rake, imt) sig[m] = np.log(10 ** C['sigma'])
#: Coefficient table constructed from the electronic suplements of the #: original paper. COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT a1 a2 aN aR aS a3 aB aC aD sigma pgv -2.0500000 0.7710000 -0.0300000 0.0100000 0.0100000 -1.4190000 0.1600000 0.3600000 0.4800000 0.3090000 pga -1.2960000 0.5560000 -0.0600000 0.0940000 -0.0130000 -1.5820000 0.2200000 0.3040000 0.3320000 0.3410000 0.05 -2.8853436 0.5241770 -0.1002050 0.1323607 -0.0104223 -1.7131617 0.1590351 0.1913741 0.1662669 0.3569631 0.10 -1.9083649 0.4879421 -0.0893446 0.1273364 -0.0141940 -1.7141846 0.2191124 0.2180647 0.1599583 0.3698820 0.15 -1.9913830 0.5218353 -0.0733947 0.1189461 -0.0178601 -1.6011819 0.2516196 0.3149463 0.2929666 0.3701501 0.20 -2.1855097 0.5575823 -0.0410869 0.1014822 -0.0242622 -1.5157781 0.2795653 0.4209394 0.3950845 0.3735782 0.25 -2.2986747 0.5918757 -0.0505207 0.0853928 -0.0144371 -1.4772492 0.2468365 0.4352964 0.4414190 0.3658115 0.30 -2.3197219 0.6141047 -0.0423759 0.0653264 -0.0096095 -1.4608963 0.2027381 0.4325227 0.4545156 0.3574604 0.35 -2.3532043 0.6301540 -0.0290204 0.0569969 -0.0117476 -1.4526222 0.1948161 0.4572770 0.5023281 0.3576558 0.40 -2.4625603 0.6520124 -0.0248118 0.0514677 -0.0113052 -1.4182980 0.1736606 0.4457811 0.5335752 0.3571774 0.45 -2.4967480 0.6641638 -0.0098857 0.0366742 -0.0112005 -1.4072543 0.1769518 0.4470774 0.5839604 0.3542876 0.50 -2.5409604 0.6736385 -0.0050996 0.0283795 -0.0095620 -1.3894703 0.1855959 0.4482634 0.6360733 0.3585923 0.55 -2.5528057 0.6813095 -0.0013096 0.0256173 -0.0098734 -1.3833845 0.1834712 0.4509198 0.6792498 0.3587491 0.60 -2.6105531 0.6942826 -0.0009457 0.0166886 -0.0062698 -1.3683149 0.1785156 0.4451175 0.6919865 0.3566331 0.65 -2.5991259 0.7000182 0.0057530 0.0075781 -0.0050956 -1.3658287 0.1614781 0.4327439 0.6945308 0.3550096 0.70 -2.6256918 0.7102002 0.0021694 0.0050372 -0.0026038 -1.3609069 0.1479847 0.4247098 0.6955686 0.3550060 0.75 -2.6965075 0.7273575 0.0028068 0.0020510 -0.0016181 -1.3612589 0.1450193 0.4164749 0.7043074 0.3526839 0.80 -2.7389002 0.7403566 0.0036660 -0.0040497 0.0005981 -1.3610415 0.1380784 0.4042236 0.7036039 0.3496514 0.85 -2.7914083 0.7553379 0.0032023 -0.0059857 0.0016152 -1.3691674 0.1406749 0.4031042 0.7086573 0.3504153 0.90 -2.7973391 0.7611568 0.0107582 -0.0055180 -0.0015391 -1.3755505 0.1451434 0.4082058 0.7090638 0.3545320 0.95 -2.8305291 0.7686452 0.0163434 -0.0048616 -0.0039647 -1.3722514 0.1501412 0.4134206 0.7030495 0.3545101 1.00 -2.8634011 0.7772102 0.0201847 -0.0026251 -0.0063816 -1.3692034 0.1464775 0.4066130 0.6863604 0.3558715 1.05 -2.8680321 0.7801400 0.0181339 -0.0022563 -0.0057100 -1.3655567 0.1448087 0.4020379 0.6707605 0.3557457 1.10 -2.8936464 0.7879813 0.0170920 -0.0027664 -0.0050829 -1.3658939 0.1389319 0.3901474 0.6569073 0.3558140 1.15 -2.9355453 0.7992595 0.0171742 -0.0037400 -0.0046909 -1.3693257 0.1331251 0.3811657 0.6394404 0.3543397 1.20 -2.9532117 0.8044803 0.0219944 -0.0055788 -0.0058288 -1.3657305 0.1279489 0.3723968 0.6233881 0.3533761 1.25 -2.9782632 0.8090258 0.0250012 -0.0077949 -0.0061059 -1.3591759 0.1263850 0.3690539 0.6091518 0.3537186 1.30 -3.0054272 0.8146208 0.0275714 -0.0091296 -0.0065852 -1.3550484 0.1235212 0.3666377 0.5942269 0.3533137 1.35 -3.0314767 0.8208146 0.0284279 -0.0104723 -0.0063730 -1.3565895 0.1254993 0.3712946 0.5845589 0.3528877 1.40 -3.0466187 0.8270614 0.0267230 -0.0095818 -0.0060518 -1.3607541 0.1224343 0.3655060 0.5695337 0.3525659 1.45 -3.0654260 0.8330859 0.0250260 -0.0091609 -0.0055125 -1.3639165 0.1208328 0.3614019 0.5593142 0.3517607 1.50 -3.0896821 0.8399120 0.0221389 -0.0092808 -0.0042695 -1.3666268 0.1165296 0.3568769 0.5511064 0.3496758 1.55 -3.1171695 0.8476929 0.0174047 -0.0069108 -0.0033789 -1.3700564 0.1122110 0.3507933 0.5427573 0.3472015 1.60 -3.1370747 0.8536100 0.0140424 -0.0050005 -0.0028569 -1.3707941 0.1080054 0.3419899 0.5315377 0.3449319 1.65 -3.1433377 0.8570622 0.0092720 -0.0042635 -0.0013202 -1.3699352 0.1006163 0.3323793 0.5154721 0.3425114 1.70 -3.1579402 0.8610034 0.0013194 -0.0032280 0.0012934 -1.3689420 0.0985499 0.3287989 0.5044447 0.3398077 1.75 -3.1654876 0.8635322 -0.0079932 -0.0012780 0.0039846 -1.3692309 0.0977796 0.3266681 0.4968893 0.3376558 1.80 -3.1627827 0.8650292 -0.0143883 0.0012671 0.0052926 -1.3701685 0.0950735 0.3202899 0.4885798 0.3359642 1.85 -3.1615383 0.8667376 -0.0192120 0.0026373 0.0064626 -1.3707310 0.0931597 0.3135946 0.4817112 0.3342168 1.90 -3.1522848 0.8676873 -0.0239616 0.0049096 0.0071912 -1.3712825 0.0870145 0.3043254 0.4719422 0.3329950 1.95 -3.1431538 0.8680758 -0.0296569 0.0076970 0.0079890 -1.3715113 0.0829618 0.2976415 0.4651566 0.3310917 2.00 -3.1421699 0.8685196 -0.0344938 0.0095700 0.0088897 -1.3693361 0.0834894 0.2950648 0.4603763 0.3298747 2.05 -3.1474772 0.8700464 -0.0393413 0.0120142 0.0095059 -1.3678657 0.0844281 0.2941582 0.4593924 0.3293833 2.10 -3.1614270 0.8732865 -0.0447820 0.0151246 0.0100114 -1.3671317 0.0841764 0.2931830 0.4587144 0.3285693 2.15 -3.1760473 0.8759402 -0.0493498 0.0172018 0.0106142 -1.3650601 0.0852595 0.2939214 0.4593409 0.3278627 2.20 -3.1872939 0.8778648 -0.0545726 0.0196852 0.0112416 -1.3620672 0.0857041 0.2932367 0.4571966 0.3263398 2.25 -3.1929032 0.8782645 -0.0599400 0.0229501 0.0115343 -1.3562898 0.0843744 0.2908264 0.4528229 0.3244696 2.30 -3.1964880 0.8785770 -0.0639389 0.0266334 0.0111443 -1.3495460 0.0795512 0.2845144 0.4457230 0.3223445 2.35 -3.2061680 0.8796669 -0.0656158 0.0294290 0.0103948 -1.3421863 0.0763004 0.2788990 0.4404207 0.3206195 2.40 -3.2124688 0.8800817 -0.0683920 0.0323025 0.0100710 -1.3351181 0.0754372 0.2733777 0.4367805 0.3189619 2.45 -3.2173552 0.8802805 -0.0721574 0.0364129 0.0095688 -1.3273998 0.0721815 0.2667552 0.4308779 0.3177777 2.50 -3.2208583 0.8799805 -0.0756910 0.0404754 0.0089382 -1.3195408 0.0695631 0.2620014 0.4254937 0.3163032 2.55 -3.2244744 0.8798919 -0.0783250 0.0432722 0.0084324 -1.3134787 0.0692867 0.2610122 0.4237224 0.3143530 2.60 -3.2355390 0.8810115 -0.0801680 0.0454326 0.0078271 -1.3074378 0.0701497 0.2596374 0.4210976 0.3123591 2.65 -3.2599554 0.8841480 -0.0813756 0.0477987 0.0069265 -1.3014910 0.0719688 0.2594378 0.4205230 0.3105163 2.70 -3.2834526 0.8875307 -0.0809548 0.0505024 0.0054163 -1.2962006 0.0727993 0.2577696 0.4195371 0.3091150 2.75 -3.3028676 0.8902376 -0.0802845 0.0533437 0.0037658 -1.2914620 0.0739445 0.2565391 0.4206958 0.3081833 2.80 -3.3164602 0.8923488 -0.0802537 0.0557539 0.0024698 -1.2879074 0.0743410 0.2546159 0.4215031 0.3071375 2.85 -3.3328281 0.8947180 -0.0796644 0.0580173 0.0010041 -1.2839725 0.0757831 0.2532998 0.4205388 0.3058747 2.90 -3.3508249 0.8973864 -0.0791587 0.0602144 -0.0003880 -1.2784672 0.0744210 0.2492444 0.4155354 0.3047832 2.95 -3.3692426 0.8999885 -0.0781803 0.0620852 -0.0017386 -1.2727125 0.0735201 0.2458899 0.4118983 0.3039768 3.00 -3.3883104 0.9025955 -0.0780050 0.0639634 -0.0027770 -1.2667687 0.0731364 0.2427131 0.4066463 0.3032581 3.05 -3.4089144 0.9050712 -0.0777145 0.0652581 -0.0035732 -1.2604383 0.0736191 0.2410029 0.4021932 0.3026315 3.10 -3.4302607 0.9080662 -0.0769700 0.0655633 -0.0040268 -1.2557977 0.0742839 0.2393353 0.3988910 0.3020134 3.15 -3.4449030 0.9101579 -0.0762476 0.0656209 -0.0042581 -1.2520585 0.0755457 0.2377807 0.3968486 0.3013446 3.20 -3.4566489 0.9116875 -0.0754699 0.0652424 -0.0043002 -1.2482556 0.0774894 0.2365001 0.3945458 0.3004223 3.25 -3.4709224 0.9137012 -0.0750555 0.0646868 -0.0041063 -1.2445079 0.0789917 0.2354185 0.3926102 0.2991849 3.30 -3.4861508 0.9163004 -0.0747234 0.0645185 -0.0040099 -1.2419588 0.0798637 0.2339357 0.3916166 0.2978846 3.35 -3.5022077 0.9190528 -0.0728415 0.0636728 -0.0040702 -1.2394832 0.0810714 0.2330698 0.3913265 0.2964171 3.40 -3.5203978 0.9217943 -0.0713307 0.0624610 -0.0038150 -1.2364777 0.0832514 0.2332679 0.3918926 0.2952740 3.45 -3.5408118 0.9246496 -0.0705947 0.0611375 -0.0032988 -1.2327771 0.0853155 0.2337748 0.3915468 0.2941983 3.50 -3.5601771 0.9273972 -0.0702652 0.0597769 -0.0026400 -1.2292914 0.0870118 0.2338685 0.3903120 0.2931537 3.55 -3.5854744 0.9307797 -0.0701598 0.0587242 -0.0020068 -1.2249578 0.0889839 0.2347028 0.3893576 0.2924559 3.60 -3.6138749 0.9347379 -0.0696739 0.0574896 -0.0013891 -1.2206922 0.0907968 0.2354381 0.3877713 0.2923746 3.65 -3.6416871 0.9388613 -0.0692068 0.0565333 -0.0009180 -1.2172276 0.0919148 0.2355807 0.3855391 0.2924609 3.70 -3.6667806 0.9426348 -0.0691106 0.0560806 -0.0005845 -1.2141418 0.0924525 0.2361611 0.3830481 0.2925229 3.75 -3.6928280 0.9462948 -0.0696536 0.0557950 -0.0001683 -1.2107893 0.0938360 0.2378644 0.3816221 0.2925011 3.80 -3.7192534 0.9500416 -0.0701051 0.0554917 0.0002090 -1.2073914 0.0949498 0.2392272 0.3789399 0.2923401 3.85 -3.7461033 0.9539773 -0.0700016 0.0545840 0.0006554 -1.2041114 0.0956039 0.2397455 0.3759065 0.2919152 3.90 -3.7715185 0.9577344 -0.0694757 0.0537659 0.0009270 -1.2004853 0.0951864 0.2388567 0.3723133 0.2916133 3.95 -3.7952464 0.9613004 -0.0691349 0.0532504 0.0011510 -1.1969673 0.0942025 0.2372400 0.3688114 0.2914914 4.00 -3.8152625 0.9646448 -0.0689546 0.0527977 0.0013845 -1.1946064 0.0928633 0.2348112 0.3656192 0.2911708 4.05 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0.0876988 0.2028368 0.3233503 0.2298588 16.90 -4.6702329 1.0650099 0.0171258 -0.0956624 0.0321093 -1.0387313 0.0878417 0.2030778 0.3235388 0.2298489 16.95 -4.6689237 1.0649152 0.0171137 -0.0955281 0.0320670 -1.0395288 0.0879858 0.2033293 0.3237164 0.2298486 17.00 -4.6675134 1.0647923 0.0171065 -0.0953903 0.0320193 -1.0402976 0.0881642 0.2036060 0.3239206 0.2298577 17.05 -4.6660140 1.0646495 0.0170882 -0.0952570 0.0319786 -1.0410556 0.0883592 0.2038878 0.3241292 0.2298726 17.10 -4.6646511 1.0645232 0.0170635 -0.0951328 0.0319428 -1.0418071 0.0885791 0.2041979 0.3243785 0.2298932 17.15 -4.6633531 1.0644047 0.0170666 -0.0950193 0.0319014 -1.0425700 0.0888388 0.2045350 0.3246605 0.2299197 17.20 -4.6619289 1.0642770 0.0170469 -0.0949010 0.0318679 -1.0433643 0.0890622 0.2048385 0.3248946 0.2299521 17.25 -4.6604410 1.0641456 0.0170264 -0.0947814 0.0318340 -1.0441646 0.0892486 0.2051066 0.3250794 0.2299816 17.30 -4.6586578 1.0639689 0.0170053 -0.0946914 0.0318109 -1.0449485 0.0893867 0.2053397 0.3252274 0.2300153 17.35 -4.6563665 1.0637107 0.0169468 -0.0946099 0.0318011 -1.0457354 0.0895250 0.2055897 0.3253705 0.2300551 17.40 -4.6540277 1.0634495 0.0168731 -0.0945033 0.0317891 -1.0465340 0.0896464 0.2058501 0.3254761 0.2300908 17.45 -4.6517418 1.0631944 0.0167738 -0.0943912 0.0317839 -1.0473300 0.0897633 0.2061409 0.3255759 0.2301179 17.50 -4.6494883 1.0629398 0.0166603 -0.0942646 0.0317774 -1.0481138 0.0898934 0.2064408 0.3257322 0.2301417 17.55 -4.6470506 1.0626676 0.0165633 -0.0941541 0.0317718 -1.0489303 0.0900297 0.2067105 0.3258672 0.2301681 17.60 -4.6445814 1.0623893 0.0165054 -0.0940256 0.0317453 -1.0497098 0.0901301 0.2069234 0.3259550 0.2302117 17.65 -4.6421749 1.0621183 0.0164439 -0.0938623 0.0317051 -1.0504661 0.0902339 0.2071135 0.3260625 0.2302693 17.70 -4.6398074 1.0618582 0.0163676 -0.0936873 0.0316665 -1.0512301 0.0903089 0.2072879 0.3261484 0.2303325 17.75 -4.6373872 1.0615992 0.0162742 -0.0934887 0.0316252 -1.0519862 0.0902888 0.2073950 0.3261244 0.2303997 17.80 -4.6350106 1.0613510 0.0161757 -0.0932913 0.0315870 -1.0527487 0.0902719 0.2075053 0.3260738 0.2304586 17.85 -4.6326753 1.0611078 0.0160714 -0.0931094 0.0315565 -1.0535132 0.0902568 0.2076309 0.3260459 0.2305202 17.90 -4.6303255 1.0608665 0.0159562 -0.0929230 0.0315285 -1.0543025 0.0902443 0.2077620 0.3260424 0.2305901 17.95 -4.6279721 1.0606296 0.0158294 -0.0927453 0.0315081 -1.0551004 0.0902235 0.2078697 0.3260325 0.2306635 18.00 -4.6256806 1.0604029 0.0157045 -0.0925735 0.0314897 -1.0559032 0.0902143 0.2079853 0.3260227 0.2307335 18.05 -4.6235482 1.0601937 0.0155649 -0.0923856 0.0314696 -1.0566806 0.0902402 0.2081103 0.3259923 0.2307986 18.10 -4.6215125 1.0599832 0.0154289 -0.0922064 0.0314529 -1.0574170 0.0902938 0.2082641 0.3260346 0.2308669 18.15 -4.6195446 1.0597824 0.0152808 -0.0920299 0.0314411 -1.0581603 0.0903571 0.2084408 0.3261046 0.2309436 18.20 -4.6175680 1.0595838 0.0151290 -0.0918681 0.0314366 -1.0588991 0.0903924 0.2085860 0.3261727 0.2310192 18.25 -4.6155501 1.0593811 0.0149677 -0.0917003 0.0314337 -1.0596409 0.0904073 0.2087303 0.3262638 0.2311089 18.30 -4.6134608 1.0591673 0.0147923 -0.0915262 0.0314338 -1.0603974 0.0904314 0.2088947 0.3264244 0.2312029 18.35 -4.6113606 1.0589534 0.0146054 -0.0913432 0.0314342 -1.0611660 0.0904607 0.2090800 0.3265908 0.2312943 18.40 -4.6091615 1.0587210 0.0144167 -0.0911767 0.0314414 -1.0619288 0.0904961 0.2092733 0.3267645 0.2313800 18.45 -4.6069186 1.0584798 0.0142445 -0.0910011 0.0314396 -1.0626962 0.0905433 0.2094949 0.3269409 0.2314630 18.50 -4.6045548 1.0582263 0.0141048 -0.0908264 0.0314256 -1.0634875 0.0905958 0.2097171 0.3271208 0.2315474 18.55 -4.6022555 1.0579779 0.0140189 -0.0906770 0.0313998 -1.0642804 0.0907114 0.2099961 0.3273333 0.2316349 18.60 -4.5999354 1.0577260 0.0139643 -0.0905460 0.0313709 -1.0650795 0.0908500 0.2102950 0.3275477 0.2317254 18.65 -4.5975723 1.0574669 0.0139311 -0.0904195 0.0313357 -1.0658857 0.0909980 0.2106238 0.3277787 0.2318139 18.70 -4.5951842 1.0572068 0.0138828 -0.0902919 0.0313065 -1.0667150 0.0911585 0.2109674 0.3280141 0.2319032 18.75 -4.5928423 1.0569459 0.0138195 -0.0901605 0.0312806 -1.0675214 0.0913371 0.2113231 0.3282595 0.2319961 18.80 -4.5905630 1.0566968 0.0137501 -0.0900262 0.0312559 -1.0683239 0.0915036 0.2116534 0.3284932 0.2320896 18.85 -4.5882897 1.0564454 0.0136895 -0.0899062 0.0312338 -1.0691287 0.0916884 0.2120215 0.3287538 0.2321822 18.90 -4.5859444 1.0561877 0.0136342 -0.0897936 0.0312124 -1.0699621 0.0918883 0.2124011 0.3290464 0.2322761 18.95 -4.5835739 1.0559358 0.0135791 -0.0896816 0.0311921 -1.0708360 0.0921012 0.2127846 0.3293473 0.2323750 19.00 -4.5811854 1.0556836 0.0135058 -0.0895712 0.0311799 -1.0717170 0.0923031 0.2131652 0.3296134 0.2324712 19.05 -4.5785562 1.0553965 0.0134393 -0.0894466 0.0311563 -1.0725925 0.0924814 0.2135224 0.3298248 0.2325693 19.10 -4.5759216 1.0551149 0.0133694 -0.0893173 0.0311335 -1.0734791 0.0926409 0.2138565 0.3300005 0.2326680 19.15 -4.5733085 1.0548385 0.0133009 -0.0891829 0.0311088 -1.0743627 0.0927815 0.2141700 0.3301508 0.2327696 19.20 -4.5707328 1.0545735 0.0132251 -0.0890475 0.0310864 -1.0752708 0.0929357 0.2144811 0.3303240 0.2328733 19.25 -4.5681581 1.0543094 0.0131417 -0.0889108 0.0310661 -1.0761907 0.0931160 0.2148037 0.3305288 0.2329716 19.30 -4.5655769 1.0540419 0.0130449 -0.0887642 0.0310480 -1.0771128 0.0933079 0.2151399 0.3307210 0.2330717 19.35 -4.5629537 1.0537768 0.0129323 -0.0886151 0.0310358 -1.0780591 0.0934791 0.2154531 0.3308830 0.2331716 19.40 -4.5603791 1.0535132 0.0128234 -0.0884418 0.0310120 -1.0789847 0.0936696 0.2157718 0.3310389 0.2332786 19.45 -4.5579092 1.0532598 0.0127360 -0.0882808 0.0309862 -1.0798843 0.0938509 0.2160907 0.3312164 0.2333875 19.50 -4.5554637 1.0530066 0.0126536 -0.0881226 0.0309604 -1.0807806 0.0940355 0.2164319 0.3314249 0.2334919 19.55 -4.5530926 1.0527660 0.0125638 -0.0879671 0.0309387 -1.0816819 0.0942248 0.2167771 0.3316603 0.2335976 19.60 -4.5507698 1.0525329 0.0124638 -0.0878078 0.0309185 -1.0825853 0.0944184 0.2171272 0.3319116 0.2337101 19.65 -4.5484820 1.0523011 0.0123580 -0.0876287 0.0308943 -1.0834763 0.0946293 0.2174838 0.3321520 0.2338338 19.70 -4.5461606 1.0520732 0.0122562 -0.0874555 0.0308706 -1.0843841 0.0948125 0.2178082 0.3323524 0.2339553 19.75 -4.5438000 1.0518500 0.0121600 -0.0872900 0.0308500 -1.0853000 0.0949700 0.2181100 0.3325200 0.2340828 19.80 -4.5413705 1.0516076 0.0120795 -0.0871289 0.0308198 -1.0862221 0.0951415 0.2184096 0.3326915 0.2342155 19.85 -4.5390661 1.0513886 0.0119939 -0.0869706 0.0307932 -1.0871300 0.0953188 0.2187053 0.3328751 0.2343419 19.90 -4.5370396 1.0512291 0.0118930 -0.0868176 0.0307737 -1.0880405 0.0954304 0.2189416 0.3330119 0.2344619 19.95 -4.5350267 1.0510743 0.0117816 -0.0866590 0.0307559 -1.0889565 0.0955338 0.2191705 0.3331256 0.2345780 20.00 -4.5330479 1.0509283 0.0116658 -0.0865082 0.0307421 -1.0898739 0.0956245 0.2193853 0.3332079 0.2346923 20.03 -1.2960000 0.5560000 -0.0600000 0.0940000 -0.0130000 -1.5820000 0.2200000 0.3040000 0.3320000 0.3410000 21.03 -2.0500000 0.7710000 -0.0300000 0.0100000 0.0100000 -1.4190000 0.1600000 0.3600000 0.4800000 0.3410000 """)
[docs]class FaccioliEtAl2010(CauzziFaccioli2008): """ Implements GMPE developed by Ezio Faccioli, Aldo Bianchini and Manuela Villani and published as "New ground motion prediction equations for T>1 s and their influence on seismic hazard assessment" (Proceedings of the University of Tokyo Symposium on Long-Period Ground Motion and Urban Disaster Mitigation, March 17-18, 2010). This class implements the prediction equations for horizontal peak ground acceleration, and 5%-damped spectral acceleration - equation 2 page 2, plus site and faulting style terms (equations 3 and 5, page 3). Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula:: SA = DSR * (2 * π / T) ** 2 This class extends :class: `~openquake.hazardlib.gsim.cauzzi_faccioli_2008.CauzziFaccioli2008` because the functional form is almost identical - the only difference is in the third term which rather then using hypocentral distance, uses closest distance to the rupture and additionaly considers a magnitude dependence. """ #: Supported intensity measure types are spectral acceleration, #: and peak ground acceleration, see table 1, page 7. DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA} #: Required distance measure is rrup, equation 2, page 2. REQUIRES_DISTANCES = {'rrup'} kind = "2010" #: Coefficient table as from table 1 page 7 COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT a1 a2 a3 a4 a5 aB aC aD aN aR aS sigma pga -1.1800 0.5590 -1.6240 0.0180 0.4450 0.2500 0.3100 0.3300 -0.0100 0.0900 -0.0500 0.3600 0.05 -2.9600 0.6040 -1.8780 0.0520 0.3960 0.2000 0.2100 0.1800 -0.0200 0.0800 -0.0300 0.3800 0.10 -2.0200 0.5590 -1.8370 0.0700 0.3730 0.2600 0.2400 0.1900 0.0100 0.0800 -0.0500 0.4000 0.20 -1.9700 0.5270 -1.5120 0.0310 0.3910 0.3000 0.4200 0.4000 0.0400 0.0500 -0.0500 0.4000 0.30 -2.1100 0.5700 -1.4210 0.0090 0.4590 0.2300 0.4200 0.4500 0.0200 0.0300 -0.0300 0.4000 0.40 -2.2300 0.5960 -1.3550 0.0050 0.4780 0.1900 0.4200 0.5300 0.0400 0.0100 -0.0200 0.4100 0.50 -2.3500 0.6130 -1.2950 0.0010 0.5560 0.2000 0.4200 0.6200 0.0500 0.0000 -0.0200 0.4100 0.60 -2.4600 0.6410 -1.2820 0.0010 0.5660 0.1900 0.4200 0.6800 0.0600 -0.0100 -0.0200 0.4100 0.70 -2.5000 0.6640 -1.2930 0.0010 0.5800 0.1700 0.4200 0.7000 0.0700 -0.0200 -0.0200 0.4100 0.80 -2.5700 0.6930 -1.3130 0.0020 0.5360 0.1700 0.4100 0.7200 0.0600 -0.0300 -0.0100 0.4000 0.90 -2.6300 0.7170 -1.3340 0.0030 0.5260 0.1700 0.4200 0.7300 0.0700 -0.0400 -0.0100 0.4000 1.00 -2.6800 0.7310 -1.3350 0.0020 0.5290 0.1700 0.4200 0.7200 0.0800 -0.0400 -0.0100 0.4000 1.25 -2.8400 0.7670 -1.3200 0.0010 0.5810 0.1600 0.4000 0.6700 0.0900 -0.0500 -0.0100 0.4000 1.50 -2.9500 0.8010 -1.3420 0.0020 0.5290 0.1500 0.3900 0.6300 0.0900 -0.0500 -0.0100 0.4000 2.00 -3.0900 0.8700 -1.4240 0.0180 0.4230 0.1200 0.3400 0.5500 0.0400 -0.0400 0.0100 0.4000 2.50 -3.1400 0.9040 -1.4540 0.0780 0.3420 0.1100 0.3100 0.5000 0.0200 -0.0300 0.0100 0.3900 3.00 -3.2000 0.9330 -1.4700 0.2620 0.2720 0.1100 0.2900 0.4900 0.0200 -0.0200 0.0000 0.3800 4.00 -3.4900 1.0140 -1.4960 0.3870 0.2680 0.1100 0.2700 0.4400 0.0100 -0.0300 0.0100 0.3700 5.00 -3.7100 1.0690 -1.4970 0.5270 0.2600 0.1000 0.2400 0.3900 0.0100 -0.0500 0.0200 0.3600 7.50 -4.1500 1.0970 -1.3200 0.4550 0.2660 0.0900 0.2200 0.3400 0.0400 -0.0900 0.0400 0.3300 10.00 -4.2800 1.0680 -1.1870 0.2100 0.2980 0.0800 0.2000 0.3200 0.0500 -0.1100 0.0400 0.3100 15.00 -4.1700 1.0210 -1.1430 0.0890 0.3340 0.0900 0.1900 0.3200 0.0700 -0.1100 0.0400 0.2900 20.00 -4.0200 0.9930 -1.1670 0.0650 0.3430 0.1100 0.2100 0.3300 0.0800 -0.1100 0.0300 0.3000 """)