Source code for openquake.hazardlib.gsim.lin_lee_2008

# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
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#
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"""
Module exports :class:`LinLee2008SInter`, class:`LinLee2008SSlab`
"""
import numpy as np

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


def _compute_mean(C, mag, rhypo, hypo_depth, mean, idx):
    """
    Compute mean value according to equations 10 and 11 page 226.
    """
    if isinstance(mag, np.ndarray):
        mag = mag[idx]
        hypo_depth = hypo_depth[idx]
    mean[idx] = (C['C1'] + C['C2'] * mag + C['C3'] * np.log(rhypo[idx] +
                 C['C4'] * np.exp(C['C5'] * mag)) + C['C6'] * hypo_depth)


[docs]class LinLee2008SInter(GMPE): """ Implements GMPE developed by Po-Shen Lin and Chyi-Tyi Lee and published as "Ground-Motion Attenuation Relationships for Subduction-Zone Earthquakes in Northeastern Taiwan" (Bulletin of the Seismological Society of America, Volume 98, Number 1, pages 220-240, 2008). This class implements the equations for 'Subduction Interface' (that's why the class name ends with 'SInter'). """ #: Supported tectonic region type is subduction interface. DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTERFACE #: Supported intensity measure types are spectral acceleration, #: and peak ground acceleration, see tables 3 and 4, pages 227 and 228. DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA} #: Supported intensity measure component is geometric mean #: of two horizontal components, see equation 10 page 226. DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL #: Supported standard deviation types is total, see equation 10 page 226. DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL} DEFINED_FOR_REFERENCE_VELOCITY = 800 #: Required site parameter is only Vs30 (used to distinguish rock #: and deep soil). REQUIRES_SITES_PARAMETERS = {'vs30'} #: Required rupture parameters are magnitude, and focal depth, see #: equation 10 page 226. REQUIRES_RUPTURE_PARAMETERS = {'mag', 'hypo_depth'} #: Required distance measure is hypocentral distance, see equation 10 #: page 226. REQUIRES_DISTANCES = {'rhypo'} #: Vs30 threshold value between rock ctx (B, C) and soil ctx (C, D). ROCK_VS30 = 360
[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. """ idx_rock = ctx.vs30 >= self.ROCK_VS30 idx_soil = ctx.vs30 < self.ROCK_VS30 for m, imt in enumerate(imts): if idx_rock.any(): C = self.COEFFS_ROCK[imt] _compute_mean(C, ctx.mag, ctx.rhypo, ctx.hypo_depth, mean[m], idx_rock) sig[m, idx_rock] += C['sigma'] if (self.DEFINED_FOR_TECTONIC_REGION_TYPE == const.TRT.SUBDUCTION_INTRASLAB): # in subclass mean[m, idx_rock] += 0.275 if idx_soil.any(): C = self.COEFFS_SOIL[imt] _compute_mean(C, ctx.mag, ctx.rhypo, ctx.hypo_depth, mean[m], idx_soil) sig[m, idx_soil] += C['sigma'] if (self.DEFINED_FOR_TECTONIC_REGION_TYPE == const.TRT.SUBDUCTION_INTRASLAB): # in subclass mean[m, idx_soil] += 0.31
#: Coefficient table for rock ctx, see table 3 page 227. COEFFS_ROCK = CoeffsTable(sa_damping=5, table="""\ IMT C1 C2 C3 C4 C5 C6 C7 sigma pga -2.5000 1.205 -1.90499 0.51552 0.63255 0.0075 0.275 0.5268 0.01 -2.5000 1.205 -1.89500 0.51552 0.63255 0.0075 0.275 0.5228 0.02 -2.4900 1.200 -1.88000 0.51552 0.63255 0.0075 0.275 0.5199 0.03 -2.2800 1.155 -1.87500 0.51552 0.63255 0.0075 0.275 0.5245 0.04 -2.0000 1.100 -1.86000 0.51552 0.63255 0.0075 0.275 0.5363 0.05 -1.9000 1.090 -1.85500 0.51552 0.63255 0.0075 0.275 0.5380 0.06 -1.7250 1.065 -1.84000 0.51552 0.63255 0.0075 0.275 0.5555 0.09 -1.2650 1.020 -1.81500 0.51552 0.63255 0.0075 0.275 0.5830 0.10 -1.2199 1.000 -1.79500 0.51552 0.63255 0.0075 0.275 0.5818 0.12 -1.4699 1.040 -1.77000 0.51552 0.63255 0.0075 0.275 0.5759 0.15 -1.6749 1.045 -1.73000 0.51552 0.63255 0.0075 0.275 0.5828 0.17 -1.8459 1.065 -1.71000 0.51552 0.63255 0.0075 0.275 0.5918 0.20 -2.1699 1.085 -1.67500 0.51552 0.63255 0.0075 0.275 0.6071 0.24 -2.5849 1.105 -1.63000 0.51552 0.63255 0.0075 0.275 0.6328 0.30 -3.6149 1.215 -1.57000 0.51552 0.63255 0.0075 0.275 0.6669 0.36 -4.1599 1.255 -1.53500 0.51552 0.63255 0.0075 0.275 0.7024 0.40 -4.5949 1.285 -1.50000 0.51552 0.63255 0.0075 0.275 0.7119 0.46 -5.0200 1.325 -1.49500 0.51552 0.63255 0.0075 0.275 0.7162 0.50 -5.4700 1.365 -1.46500 0.51552 0.63255 0.0075 0.275 0.7159 0.60 -6.0950 1.420 -1.45500 0.51552 0.63255 0.0075 0.275 0.7191 0.75 -6.6750 1.465 -1.45000 0.51552 0.63255 0.0075 0.275 0.7704 0.85 -7.3200 1.545 -1.45000 0.51552 0.63255 0.0075 0.275 0.7803 1.00 -8.0000 1.620 -1.45000 0.51552 0.63255 0.0075 0.275 0.7999 1.50 -9.2400 1.705 -1.44000 0.51552 0.63255 0.0075 0.275 0.8428 2.00 -10.200 1.770 -1.43000 0.51550 0.63260 0.0075 0.275 0.8784 3.00 -11.470 1.830 -1.37000 0.51550 0.63260 0.0075 0.275 0.8607 4.00 -12.550 1.845 -1.26000 0.51550 0.63260 0.0075 0.275 0.8071 5.00 -13.200 1.805 -1.13500 0.51550 0.63260 0.0075 0.275 0.7913 """) #: Coefficient table for soil ctx, see table 4 page 228. COEFFS_SOIL = CoeffsTable(sa_damping=5, table="""\ IMT C1 C2 C3 C4 C5 C6 C7 sigma pga -0.9000 1.00000 -1.900 0.99178 0.52632 0.004 0.31 0.48763 0.01 -2.2000 1.08500 -1.750 0.99178 0.52632 0.004 0.31 0.57200 0.02 -2.2900 1.08500 -1.730 0.99178 0.52632 0.004 0.31 0.56720 0.03 -2.3400 1.09500 -1.720 0.99178 0.52632 0.004 0.31 0.57246 0.04 -2.2150 1.09000 -1.730 0.99178 0.52632 0.004 0.31 0.57663 0.05 -1.8950 1.05500 -1.755 0.99178 0.52632 0.004 0.31 0.59221 0.06 -1.1100 1.01000 -1.835 0.99178 0.52632 0.004 0.31 0.59351 0.09 -0.2099 0.94500 -1.890 0.99178 0.52632 0.004 0.31 0.62718 0.10 -0.0549 0.92000 -1.880 0.99178 0.52632 0.004 0.31 0.63322 0.12 -0.0551 0.93500 -1.895 0.99178 0.52632 0.004 0.31 0.64289 0.15 -0.0399 0.95500 -1.880 0.99178 0.52632 0.004 0.31 0.65238 0.17 -0.3399 1.02000 -1.885 0.99178 0.52632 0.004 0.31 0.66732 0.20 -0.7999 1.04500 -1.820 0.99178 0.52632 0.004 0.31 0.65718 0.24 -1.5749 1.12000 -1.755 0.99178 0.52632 0.004 0.31 0.64040 0.30 -3.0099 1.31500 -1.695 0.99178 0.52632 0.004 0.31 0.64856 0.36 -3.6800 1.38000 -1.660 0.99178 0.52632 0.004 0.31 0.67233 0.40 -4.2500 1.41500 -1.600 0.99178 0.52632 0.004 0.31 0.67986 0.46 -4.7200 1.43000 -1.545 0.99178 0.52632 0.004 0.31 0.67889 0.50 -5.2200 1.45500 -1.490 0.99178 0.52632 0.004 0.31 0.68034 0.60 -5.7000 1.47000 -1.445 0.99178 0.52632 0.004 0.31 0.67322 0.75 -6.4500 1.50000 -1.380 0.99178 0.52632 0.004 0.31 0.70085 0.85 -7.3500 1.56500 -1.325 0.99178 0.52632 0.004 0.31 0.71854 1.00 -8.1500 1.60500 -1.235 0.99178 0.52632 0.004 0.31 0.72217 1.50 -10.300 1.80001 -1.165 0.99180 0.52630 0.004 0.31 0.72945 2.00 -11.620 1.86002 -1.070 0.99180 0.52630 0.004 0.31 0.74782 3.00 -12.630 1.89002 -1.060 0.99180 0.52630 0.004 0.31 0.73083 4.00 -13.420 1.87001 -0.990 0.99180 0.52630 0.004 0.31 0.70625 5.00 -13.750 1.83501 -0.975 0.99180 0.52630 0.004 0.31 0.65593 """)
[docs]class LinLee2008SSlab(LinLee2008SInter): """ Implements GMPE developed by Po-Shen Lin and Chyi-Tyi Lee and published as "Ground-Motion Attenuation Relationships for Subduction-Zone Earthquakes in Northeastern Taiwan" (Bulletin of the Seismological Society of America, Volume 98, Number 1, pages 220-240, 2008). This class implements the equations for 'Subduction IntraSlab' (that's why the class name ends with 'SSlab'). """ #: Supported tectonic region type is Subduction IntraSlab DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.SUBDUCTION_INTRASLAB