Source code for openquake.hazardlib.gsim.atkinson_macias_2009

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
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"""
Module exports :class:'AtkinsonMacias2009'
"""
import numpy as np
from scipy.constants import g

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


def _get_distance_term(C, rrup, mag):
    """
    Returns the distance scaling given in Equation (4), page 1569,
    with distance adjusted by the magnitude-dependent depth scaling
    factor given in Equation (6)
    """
    r_adj = np.sqrt(rrup ** 2.0 + (mag ** 2.0 - 3.1 * mag - 14.55) ** 2.)
    return C["c1"] * np.log10(r_adj) + C["c2"] * r_adj


def _get_magnitude_term(C, mag):
    """
    Returns the magnitude scaling term provided in Equation (5)
    """
    dmag = mag - 8.0
    return C["c0"] + C["c3"] * dmag + C["c4"] * (dmag ** 2.)


[docs]class AtkinsonMacias2009(GMPE): """ Implements the Subduction Interface GMPE of Atkinson & Macias (2009) for large interface earthquakes in the Cascadia subduction zone. Atkinson, G. M. and Macias, M. (2009) "Predicted Ground Motions for Great Interface Earthquakes in the Cascadia Subduction Zone", Bulletin of the Seismological Society of America, 99(3), 1552 - 1578 """ #: The GMPE is derived for subduction interface earthquakes in Cascadia DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTERFACE #: Supported intensity measure types are peak ground acceleration and #: Spectral Acceleration DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA} #: Supported intensity measure component is assumed to be equivalent #: to the random horizontal component DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.RANDOM_HORIZONTAL #: Supported standard deviation types is total. DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL} #: No required site parameters, the GMPE is derived for B/C site #: conditions REQUIRES_SITES_PARAMETERS = set() #: Required rupture parameters are magnitude REQUIRES_RUPTURE_PARAMETERS = {'mag'} #: Required distance measure is rupture distance REQUIRES_DISTANCES = {'rrup'}
[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] imean = (_get_magnitude_term(C, ctx.mag) + _get_distance_term(C, ctx.rrup, ctx.mag)) # Convert mean from cm/s and cm/s/s and from common logarithm to # natural logarithm mean[m] = np.log((10.0 ** (imean - 2.0)) / g) sig[m] = np.log(10.0 ** C["sigma"])
COEFFS = CoeffsTable(sa_damping=5, table=""" IMT c0 c1 c2 c3 c4 sigma pga 5.0060 -1.5573 -0.000340 0.1774 0.0827 0.24 0.050000 5.8430 -1.9391 0.000000 0.1813 0.0199 0.26 0.063091 5.8230 -1.8889 -0.000220 0.1845 0.0160 0.26 0.079365 5.6760 -1.7633 -0.000710 0.1784 0.0245 0.27 0.100000 5.4900 -1.6257 -0.001150 0.1736 0.0261 0.27 0.125000 5.2090 -1.4404 -0.001630 0.1788 0.0151 0.27 0.158730 4.9300 -1.2671 -0.002040 0.1645 0.0301 0.27 0.200000 4.7460 -1.1691 -0.002120 0.1593 0.0432 0.27 0.250000 4.4720 -1.0133 -0.002340 0.1713 0.0255 0.27 0.316456 4.3030 -0.9322 -0.002310 0.1713 0.0270 0.27 0.400000 4.1670 -0.8854 -0.002110 0.1802 0.0258 0.27 0.500000 3.9990 -0.8211 -0.001950 0.1870 0.0271 0.27 0.632911 3.8590 -0.7746 -0.001790 0.2010 0.0153 0.28 0.793651 3.7330 -0.7473 -0.001590 0.2035 0.0292 0.28 1.000000 3.6210 -0.7376 -0.001280 0.2116 0.0328 0.29 1.265823 3.4530 -0.6885 -0.001190 0.2417 0.0125 0.29 1.587302 3.3930 -0.7101 -0.000890 0.2483 0.0103 0.29 2.000000 3.2410 -0.6741 -0.000810 0.2696 -0.0064 0.30 2.500000 3.1040 -0.6585 -0.000630 0.2990 -0.0074 0.30 3.125000 2.9780 -0.6431 -0.000570 0.3258 -0.0103 0.30 4.000000 2.8140 -0.6108 -0.000460 0.3490 -0.0299 0.30 5.000000 2.6710 -0.5942 -0.000400 0.3822 -0.0417 0.32 6.250000 2.5690 -0.6048 -0.000240 0.4324 -0.0641 0.34 7.692308 2.4890 -0.6412 -0.000030 0.4760 -0.0629 0.35 10.00000 2.3380 -0.6311 0.000000 0.5357 -0.0737 0.38 """)