Source code for openquake.hazardlib.gsim.silva_2002

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
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"""
Module exports :class:`SilvaEtAl2002MblgAB1987NSHMP2008`,
:class:`SilvaEtAl2002MblgJ1996NSHMP2008`, :class:`SilvaEtAl2002MwNSHMP2008`,
:class:`SilvaEtAl2002SingleCornerSaturation`,
:class:`SilvaEtAl2002DoubleCornerSaturation`.
"""

import numpy as np

from openquake.hazardlib.gsim.base import CoeffsTable, GMPE
from openquake.hazardlib.gsim.utils import (
    mblg_to_mw_atkinson_boore_87, mblg_to_mw_johnston_96, clip_mean)
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, SA
from openquake.baselib.general import CallableDict


_convert_magnitude = CallableDict()


@_convert_magnitude.add("Mblg87")
def _convert_magnitude87(kind, mag):
    """
    Convert magnitude from Mblg to Mw using Atkinson and Boore 1987
    equation
    """
    return mblg_to_mw_atkinson_boore_87(mag)


@_convert_magnitude.add("Mblg96")
def _convert_magnitude96(kind, mag):
    """
    Convert magnitude from Mblg to Mw using Johnston 1996 equation
    """
    return mblg_to_mw_johnston_96(mag)


@_convert_magnitude.add("Mw")
def _convert_magnitudeMw(kind, mag):
    """
    Return magnitude value unchanged
    """
    return mag


[docs]class SilvaEtAl2002MblgAB1987NSHMP2008(GMPE): """ Implements GMPE developed by Walter Silva, Nick Gregor and Robert Darragh and documented in "Development of regional hard rock attenuation relations for central and eastern north America" (2002). Document available at: http://pbadupws.nrc.gov/docs/ML0423/ML042310569.pdf This class replicates the algorithm as coded in the subroutine ``getSilva`` in the ``hazgridXnga2.f`` Fortran code available at: http://earthquake.usgs.gov/hazards/products/conterminous/2008/software/ The class assumes rupture magnitude to be in Mblg scale (given that MFDs for central and eastern US are given in this scale). Therefore Mblg is converted to Mw using the Atkinson & Boore 1987 conversion equation. Coefficients are given for the B/C site conditions. """ kind = "Mblg87" #: Supported tectonic region type is stable continental crust, #: given that the equations have been derived for central and eastern #: north America DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.STABLE_CONTINENTAL #: Supported intensity measure types are spectral acceleration, #: and peak ground acceleration DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA} #: Supported intensity measure component is the average horizontal #: component DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL #: Supported standard deviation type is only total. DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL} #: No site parameters required REQUIRES_SITES_PARAMETERS = set() #: Required rupture parameter is only magnitude (Mblg). REQUIRES_RUPTURE_PARAMETERS = {'mag'} #: Required distance measure is rjb REQUIRES_DISTANCES = {'rjb'} #: Shear-wave velocity for reference soil conditions in [m s-1] DEFINED_FOR_REFERENCE_VELOCITY = 760.
[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] mag = _convert_magnitude(self.kind, ctx.mag) mean[m] = ( C['c1'] + C['c2'] * mag + C['c10'] * (mag - 6) ** 2 + (C['c6'] + C['c7'] * mag) * np.log(ctx.rjb + np.exp(C['c4']))) mean[m] = clip_mean(imt, mean[m]) sig[m] = C['sigma']
#: Coefficient table obtained from coefficient arrays (c1, c2, c4, c6, #: c7, c10, sigma) defined in suroutine getSilva in hazgridXnga2.f COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c4 c6 c7 c10 sigma pga 5.9533 -0.11691 2.9 -3.42173 0.26461 -0.06810 0.8471 0.1 5.9917 -0.02059 2.9 -3.25499 0.24527 -0.06853 0.8546 0.2 4.2848 0.12490 2.8 -3.04591 0.22877 -0.08886 0.8338 0.3 3.14919 0.23165 2.8 -2.96321 0.22112 -0.11352 0.8428 0.5 1.15279 0.45254 2.8 -2.818 0.20613 -0.16423 0.8484 1.0 -2.60639 0.88116 2.8 -2.58296 0.18098 -0.25757 0.8785 2.0 -7.23821 1.41946 2.7 -2.26433 0.14984 -0.33999 1.0142 5.0 -13.39 2.03488 2.5 -1.91969 0.12052 -0.35463 1.2253 """)
[docs]class SilvaEtAl2002MblgJ1996NSHMP2008(SilvaEtAl2002MblgAB1987NSHMP2008): """ Extend :class:`SilvaEtAl2002MblgAB1987NSHMP2008` but uses Johnston 1996 equation for converting Mblg to Mw. """ kind = "Mblg96"
[docs]class SilvaEtAl2002MwNSHMP2008(SilvaEtAl2002MblgAB1987NSHMP2008): """ Extend :class:`SilvaEtAl2002MblgAB1987NSHMP2008` but assumes magnitude to be in Mw scale, therefore no conversion is applied """ kind = "Mw"
[docs]class SilvaEtAl2002DoubleCornerSaturation(SilvaEtAl2002MwNSHMP2008): """ This implements the Silva et al. (2002) GMPE for the double corner model with saturation as described in the report from Silva, W., N. Gregor and R. Darragh (2002), titled "DEVELOPMENT OF REGIONAL HARD ROCK ATTENUATION RELATIONS FOR CENTRAL AND EASTERN NORTH AMERICA" available at www.pacificengineering.org For the construction of verification tables - given the unavailability of an independent code - we digitized values from figures included in the report. """ kind = "Mw"
[docs] def compute(self, ctx, imts, mean, sig, tau, phi): for m, imt in enumerate(imts): C = self.COEFFS[imt] mag = _convert_magnitude(self.kind, ctx.mag) mean[m] = ( C['c1'] + C['c2'] * mag + C['c10'] * (mag - 6) ** 2 + (C['c6'] + C['c7'] * mag) * np.log(ctx.rjb + np.exp(C['c4']))) sig[m] = C['sigma']
COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c4 c5 c6 c7 c8 c10 sigma_par sigma +10.0000000 -16.16329 +1.9653500 +2.3000000 +0.0000000 -1.71374 +0.1054700 +0.0000000 -.32832 +0.4199000 +1.3429000 +5.0000000 -12.17910 +1.6245100 +2.5000000 +0.0000000 -1.88291 +0.1156400 +0.0000000 -.30150 +0.4529000 +1.2228000 +3.0003000 -9.24347 +1.3620100 +2.6000000 +0.0000000 -2.05193 +0.1295400 +0.0000000 -.24133 +0.4887000 +1.0871000 +2.0000000 -6.86049 +1.1554800 +2.7000000 +0.0000000 -2.23472 +0.1461000 +0.0000000 -.19315 +0.5217000 +1.0095000 +1.6000000 -5.75016 +1.0506100 +2.7000000 +0.0000000 -2.32003 +0.1554000 +0.0000000 -.17317 +0.5388000 +0.9450000 +1.0000000 -3.10841 +0.7956100 +2.8000000 +0.0000000 -2.58562 +0.1819500 +0.0000000 -.15020 +0.5697000 +0.8739000 +0.7500188 -1.68010 +0.6697100 +2.8000000 +0.0000000 -2.68318 +0.1926100 +0.0000000 -.14513 +0.5844000 +0.8815000 +0.5000000 +0.1710400 +0.4866300 +2.8000000 +0.0000000 -2.81997 +0.2077300 +0.0000000 -.13719 +0.6016000 +0.8426000 +0.4000000 +1.1769500 +0.3907800 +2.8000000 +0.0000000 -2.87626 +0.2135200 +0.0000000 -.12940 +0.6110000 +0.8320000 +0.3000030 +2.2762600 +0.2703100 +2.8000000 +0.0000000 -2.95623 +0.2219300 +0.0000000 -.11697 +0.6231000 +0.8358000 +0.2399981 +3.0470500 +0.1947100 +2.8000000 +0.0000000 -3.00223 +0.2263900 +0.0000000 -.10675 +0.6326000 +0.8272000 +0.2000000 +3.6156800 +0.1431100 +2.8000000 +0.0000000 -3.03239 +0.2290000 +0.0000000 -.09861 +0.6412000 +0.8260000 +0.1600000 +4.1928100 +0.0844100 +2.8000000 +0.0000000 -3.07579 +0.2330000 +0.0000000 -.08991 +0.6535000 +0.8290000 +0.1499993 +4.3427700 +0.0691100 +2.8000000 +0.0000000 -3.08805 +0.2340900 +0.0000000 -.08764 +0.6587000 +0.8339000 +0.1200005 +4.8166300 +0.0279300 +2.8000000 +0.0000000 -3.12224 +0.2368600 +0.0000000 -.08119 +0.6717000 +0.8485000 +0.1000000 +5.1370600 -0.00173 +2.8000000 +0.0000000 -3.15185 +0.2392900 +0.0000000 -.07703 +0.6837000 +0.8468000 +0.0800000 +5.9494200 -0.06741 +2.9000000 +0.0000000 -3.27328 +0.2482200 +0.0000000 -.07318 +0.6923000 +0.8476000 +0.0700001 +6.1070800 -0.08387 +2.9000000 +0.0000000 -3.29509 +0.2500000 +0.0000000 -.07142 +0.6982000 +0.8521000 +0.0599999 +6.2638400 -0.10044 +2.9000000 +0.0000000 -3.31911 +0.2519200 +0.0000000 -.06982 +0.7058000 +0.8602000 +0.0550001 +6.3423800 -0.10886 +2.9000000 +0.0000000 -3.33222 +0.2529500 +0.0000000 -.06908 +0.7106000 +0.8604000 +0.0500000 +6.4242300 -0.11726 +2.9000000 +0.0000000 -3.34604 +0.2540100 +0.0000000 -.06838 +0.7165000 +0.8675000 +0.0400000 +6.6120400 -0.13370 +2.9000000 +0.0000000 -3.37593 +0.2561300 +0.0000000 -.06711 +0.7339000 +0.8795000 +0.0322581 +7.3373600 -0.18563 +3.0000000 +0.0000000 -3.49824 +0.2645600 +0.0000000 -.06625 +0.7462000 +0.8869000 +0.0250000 +7.5114500 -0.19862 +3.0000000 +0.0000000 -3.52888 +0.2665200 +0.0000000 -.06568 +0.7534000 +0.8902000 +0.0200000 +7.5564800 -0.20898 +3.0000000 +0.0000000 -3.55306 +0.2685300 +0.0000000 -.06551 +0.7561000 +0.8939000 +0.0100000 +6.1221300 -0.16489 +2.9000000 +0.0000000 -3.43941 +0.2660100 +0.0000000 -.06925 +0.6994000 +0.8468000 pga +5.9119600 -0.15727 +2.9000000 +0.0000000 -3.42401 +0.2656400 +0.0000000 -.07004 +0.6912000 +0.8400000 """)
[docs]class SilvaEtAl2002SingleCornerSaturation(SilvaEtAl2002DoubleCornerSaturation): """ This implements the Silva et al. (2002) GMPE for the single corner model with saturation. """ kind = 'Mw' COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT c1 c2 c4 c5 c6 c7 c8 c10 sigma_par sigma +10.0000000 -17.69763 +2.3387700 +2.3000000 +0.0000000 -1.75359 +0.1107100 +0.0000000 -.28005 +0.4204000 +1.3431000 +5.0000000 -13.69697 +2.0348800 +2.5000000 +0.0000000 -1.91969 +0.1205200 +0.0000000 -.35463 +0.4597000 +1.2253000 +3.0003000 -10.33313 +1.7175500 +2.6000000 +0.0000000 -2.08560 +0.1340100 +0.0000000 -.36316 +0.4981000 +1.0914000 +2.0000000 -7.42051 +1.4194600 +2.7000000 +0.0000000 -2.26433 +0.1498400 +0.0000000 -.33999 +0.5309000 +1.0142000 +1.6000000 -6.03692 +1.2582100 +2.7000000 +0.0000000 -2.33925 +0.1576500 +0.0000000 -.31816 +0.5472000 +0.9498000 +1.0000000 -2.89906 +0.8811600 +2.8000000 +0.0000000 -2.58296 +0.1809800 +0.0000000 -.25757 +0.5767000 +0.8785000 +0.7500188 -1.22930 +0.6851800 +2.8000000 +0.0000000 -2.68016 +0.1912700 +0.0000000 -.21501 +0.5914000 +0.8861000 +0.5000000 +0.6953900 +0.4525400 +2.8000000 +0.0000000 -2.81800 +0.2061300 +0.0000000 -.16423 +0.6097000 +0.8484000 +0.4000000 +1.6422800 +0.3475100 +2.8000000 +0.0000000 -2.87774 +0.2121500 +0.0000000 -.13838 +0.6199000 +0.8386000 +0.3000030 +2.6068900 +0.2316500 +2.8000000 +0.0000000 -2.96321 +0.2211200 +0.0000000 -.11352 +0.6325000 +0.8428000 +0.2399981 +3.2531900 +0.1661600 +2.8000000 +0.0000000 -3.01272 +0.2258900 +0.0000000 -.09854 +0.6423000 +0.8346000 +0.2000000 +3.7195300 +0.1249000 +2.8000000 +0.0000000 -3.04591 +0.2287700 +0.0000000 -.08886 +0.6511000 +0.8338000 +0.1600000 +4.1841600 +0.0787500 +2.8000000 +0.0000000 -3.09159 +0.2329700 +0.0000000 -.07992 +0.6633000 +0.8368000 +0.1499993 +4.3041700 +0.0669500 +2.8000000 +0.0000000 -3.10445 +0.2341100 +0.0000000 -.07779 +0.6685000 +0.8417000 +0.1200005 +5.1732000 +0.0018800 +2.9000000 +0.0000000 -3.22475 +0.2428600 +0.0000000 -.07200 +0.6814000 +0.8562000 +0.1000000 +5.4378200 -0.02059 +2.9000000 +0.0000000 -3.25499 +0.2452700 +0.0000000 -.06853 +0.6933000 +0.8546000 +0.0800000 +5.7063100 -0.04389 +2.9000000 +0.0000000 -3.29005 +0.2479900 +0.0000000 -.06548 +0.7017000 +0.8553000 +0.0700001 +5.8347700 -0.05663 +2.9000000 +0.0000000 -3.31101 +0.2496500 +0.0000000 -.06416 +0.7077000 +0.8599000 +0.0599999 +5.9639700 -0.06970 +2.9000000 +0.0000000 -3.33411 +0.2514500 +0.0000000 -.06300 +0.7152000 +0.8680000 +0.0550001 +6.5676100 -0.11492 +3.0000000 +0.0000000 -3.44099 +0.2590400 +0.0000000 -.06249 +0.7200000 +0.8682000 +0.0500000 +6.6393700 -0.12193 +3.0000000 +0.0000000 -3.45478 +0.2600800 +0.0000000 -.06201 +0.7259000 +0.8753000 +0.0400000 +6.8101200 -0.13594 +3.0000000 +0.0000000 -3.48499 +0.2622000 +0.0000000 -.06115 +0.7429000 +0.8870000 +0.0322581 +6.9787800 -0.14713 +3.0000000 +0.0000000 -3.51228 +0.2639200 +0.0000000 -.06051 +0.7550000 +0.8943000 +0.0250000 +7.1408700 -0.15876 +3.0000000 +0.0000000 -3.54274 +0.2658900 +0.0000000 -.06019 +0.7619000 +0.8974000 +0.0200000 +7.1744500 -0.16806 +3.0000000 +0.0000000 -3.56511 +0.2678600 +0.0000000 -.06041 +0.7643000 +0.9008000 +0.0100000 +5.7388500 -0.12424 +2.9000000 +0.0000000 -3.43887 +0.2651000 +0.0000000 -.06699 +0.7079000 +0.8538000 pga +5.5345900 -0.11691 +2.9000000 +0.0000000 -3.42173 +0.2646100 +0.0000000 -.06810 +0.6998000 +0.8471000 """)