Source code for openquake.hazardlib.gsim.somerville_2009

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
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"""
Module exports :class:`SomervilleEtAl2009NonCratonic`,
:class:`SomervilleEtAl2009YilgarnCraton`
"""
import numpy as np

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


def _compute_mean(C, mag, rjb):
    """
    Compute mean value, see table 2.
    """
    m1 = 6.4
    r1 = 50.
    h = 6.
    R = np.sqrt(rjb ** 2 + h ** 2)
    R1 = np.sqrt(r1 ** 2 + h ** 2)
    less_r1 = rjb < r1
    ge_r1 = rjb >= r1

    mean = (C['c1'] + C['c4'] * (mag - m1) * np.log(R) + C['c5'] * rjb +
            C['c8'] * (8.5 - mag) ** 2)

    mean[less_r1] += C['c3'] * np.log(R[less_r1])
    mean[ge_r1] += (C['c3'] * np.log(R1) +
                    C['c6'] * (np.log(R[ge_r1]) - np.log(R1)))
    mean += np.where(mag < m1, C['c2'] * (mag - m1), C['c7'] * (mag - m1))

    return mean


[docs]class SomervilleEtAl2009NonCratonic(GMPE): """ Implements GMPE developed by P. Somerville, R. Graves, N. Collins, S. G. Song, S. Ni, and P. Cummins for Non-Cratonic Australia published in "Source and Ground Motion Models for Australian Earthquakes", Report to Geoscience Australia (2009). Document available at: http://www.ga.gov.au/cedda/publications/193?yp=2009 """ #: The supported tectonic region type is stable continental region DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.STABLE_CONTINENTAL #: The supported intensity measure types are PGA, PGV, and SA, see table #: 3 DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, PGV, SA} #: The supported intensity measure component is set to 'average #: horizontal', however the original paper does not report this information DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL #: The supported standard deviations is total, see tables 3 DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL} #: no site parameters are defined, the GMPE is calibrated for Vs30 = 865 #: m/s (provisionally set to 800 for compatibility with SiteTerm class) REQUIRES_SITES_PARAMETERS = set() DEFINED_FOR_REFERENCE_VELOCITY = 800. #: The required rupture parameter is magnitude, see table 2 REQUIRES_RUPTURE_PARAMETERS = {'mag'} #: The required distance parameter is 'Joyner-Boore' distance, see table 2 REQUIRES_DISTANCES = {'rjb'}
[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. Implement equations as defined in table 2. """ for m, imt in enumerate(imts): C = self.COEFFS[imt] mean[m] = _compute_mean(C, ctx.mag, ctx.rjb) sig[m] = C['sigma']
#: Coefficients taken from table 3 COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c3 c4 c5 c6 c7 c8 sigma pgv 5.07090 0.52780 -0.85740 0.17700 -0.00501 -0.61190 0.80660 -0.03800 0.6417 pga 1.03780 -0.03970 -0.79430 0.14450 -0.00618 -0.72540 -0.03590 -0.09730 0.5685 0.010 1.05360 -0.04190 -0.79390 0.14450 -0.00619 -0.72660 -0.03940 -0.09740 0.5684 0.020 1.05680 -0.03920 -0.79680 0.14550 -0.00617 -0.73230 -0.03930 -0.09600 0.5684 0.030 1.13530 -0.04790 -0.80920 0.15000 -0.00610 -0.76410 -0.05710 -0.09210 0.5681 0.040 1.30000 -0.07020 -0.83150 0.15920 -0.00599 -0.82850 -0.09810 -0.08530 0.5676 0.050 1.47680 -0.09310 -0.83330 0.15600 -0.00606 -0.86740 -0.12740 -0.09130 0.5670 0.075 1.70220 -0.05160 -0.80720 0.14560 -0.00655 -0.87690 -0.10970 -0.08690 0.5663 0.100 1.65720 0.15080 -0.77590 0.13100 -0.00708 -0.77830 0.01690 -0.05980 0.5659 0.150 1.94440 -0.09620 -0.75000 0.11670 -0.00698 -0.69490 -0.13320 -0.12530 0.5659 0.200 1.82720 -0.06230 -0.73430 0.11940 -0.00677 -0.64380 -0.09570 -0.11920 0.5669 0.250 1.74380 -0.02530 -0.72480 0.11950 -0.00646 -0.63740 -0.06250 -0.11650 0.5678 0.3003 1.80560 -0.27020 -0.73190 0.13490 -0.00606 -0.66440 -0.17470 -0.14340 0.5708 0.400 1.88750 -0.37820 -0.70580 0.09960 -0.00589 -0.58770 -0.24420 -0.21890 0.5697 0.500 2.03760 -0.79590 -0.69730 0.11470 -0.00565 -0.59990 -0.48670 -0.29690 0.5739 0.750 1.93060 -0.80280 -0.74510 0.11220 -0.00503 -0.59460 -0.50120 -0.34990 0.5876 1.000 1.60380 -0.47800 -0.86950 0.07320 -0.00569 -0.41590 0.06360 -0.33730 0.6269 1.4993 0.47740 0.90960 -1.02440 0.11060 -0.00652 -0.19000 1.09610 -0.10660 0.7517 2.000 -0.25810 1.37770 -1.01000 0.10310 -0.00539 -0.27340 1.50330 -0.04530 0.8036 3.0003 -0.96360 1.14690 -0.88530 0.10380 -0.00478 -0.40420 1.54130 -0.11020 0.8219 4.000 -1.46140 1.07950 -0.80490 0.10960 -0.00395 -0.46040 1.41960 -0.14700 0.8212 5.000 -1.61160 0.74860 -0.78100 0.09650 -0.00307 -0.46490 1.24090 -0.22170 0.8240 7.5019 -2.35310 0.35190 -0.64340 0.09590 -0.00138 -0.68260 0.92880 -0.31230 0.7957 10.000 -3.26140 0.69730 -0.62760 0.12920 -0.00155 -0.61980 1.01050 -0.24550 0.7602 """)
[docs]class SomervilleEtAl2009YilgarnCraton(SomervilleEtAl2009NonCratonic): """ Implements GMPE developed by P. Somerville, R. Graves, N. Collins, S. G. Song, S. Ni, and P. Cummins for Yilgarn Craton published in "Source and Ground Motion Models for Australian Earthquakes", Report to Geoscience Australia (2009). Document available at: http://www.ga.gov.au/cedda/publications/193?yp=2009 Extends :class:`openquake.hazardlib.gsim.somerville_2009.SomervilleEtAl2009NonCratonic` because the same functional form is used, only the coefficents differ. """ #: Coefficients taken from table 4 COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c3 c4 c5 c6 c7 c8 sigma pgv 5.23440 1.58530 -1.01540 0.21400 -0.00341 -0.91610 1.12980 0.14810 0.6606 pga 1.54560 1.45650 -1.11510 0.16640 -0.00567 -1.04900 1.05530 0.20000 0.5513 0.010 1.55510 1.46380 -1.11460 0.16620 -0.00568 -1.04840 1.05850 0.20140 0.5512 0.020 2.33800 1.38060 -1.22970 0.18010 -0.00467 -1.39850 0.95990 0.20130 0.5510 0.030 2.48090 1.37540 -1.17620 0.17120 -0.00542 -1.38720 0.96930 0.19280 0.5508 0.040 2.31450 1.60250 -1.12600 0.17150 -0.00629 -1.27910 1.07040 0.23560 0.5509 0.050 2.26860 1.55840 -1.07340 0.14710 -0.00709 -1.08910 1.10750 0.20670 0.5510 0.075 1.97070 1.68030 -1.01540 0.14560 -0.00737 -0.91930 1.18290 0.22170 0.5514 0.100 1.71030 1.75070 -0.99330 0.13820 -0.00746 -0.78140 1.29390 0.23790 0.5529 0.150 1.52310 1.69160 -0.96310 0.13330 -0.00713 -0.67330 1.22430 0.21020 0.5544 0.200 1.36830 1.57940 -0.94720 0.13640 -0.00677 -0.62690 1.17760 0.18950 0.5558 0.250 1.40180 1.28940 -0.94410 0.14360 -0.00617 -0.67070 1.05610 0.14590 0.5583 0.3003 1.45000 1.04630 -0.94880 0.14760 -0.00581 -0.68700 0.94040 0.11040 0.5602 0.400 1.44150 0.92820 -0.91830 0.11320 -0.00576 -0.59520 0.86280 0.04060 0.5614 0.500 1.40380 0.69160 -0.91010 0.13480 -0.00557 -0.62390 0.71230 0.00620 0.5636 0.750 1.50840 0.75800 -0.99010 0.11260 -0.00458 -0.69040 0.68590 -0.05630 0.5878 1.000 2.10630 0.38180 -1.08680 0.07950 -0.00406 -0.90340 0.61850 -0.18250 0.6817 1.4993 2.55790 -0.84270 -0.81810 0.07650 -0.00220 -1.35320 -0.25440 -0.46660 0.8514 2.000 2.39600 -1.39950 -0.70440 0.06770 -0.00366 -0.90860 -0.64320 -0.59600 0.8646 3.0003 0.96040 -0.46120 -0.70450 0.06450 -0.00429 -0.51190 -0.16430 -0.46310 0.8424 4.000 0.12190 -0.06980 -0.75910 0.08490 -0.00374 -0.41450 0.12350 -0.39250 0.8225 5.000 -0.84240 0.53160 -0.79600 0.10330 -0.00180 -0.62130 0.53680 -0.27570 0.8088 7.5019 -1.92260 0.63760 -0.81900 0.14550 -0.00066 -0.75740 0.69020 -0.23290 0.7808 10.000 -2.60330 0.59060 -0.80940 0.16090 -0.00106 -0.68550 0.70350 -0.22910 0.7624 """)