Source code for openquake.hazardlib.gsim.bayless_somerville_2024

# -*- coding: utf-8 -*-
# Copyright (C) 2015-2024 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.
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# GNU Affero General Public License for more details.
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"""
Module exports :class:`BaylessSomerville2024Cratonic`,
               :class:`BaylessSomerville2024NonCratonic`
"""
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 _get_fM(C, mag):
    """
    Magnitude scaling fM [Eq. 3, Bayless & Somerville (2024)].

    ASK14 polynomial formulation::

        M >= M1:       a1 + a5*(M-M1) + a8*(8.5-M)^2
        M2 <= M < M1:  a1 + a4*(M-M1) + a8*(8.5-M)^2
        M < M2:        fM(M=M2) + a6*(M-M2) + a7*(M-M2)^2

    M1 is period-dependent (6.75–7.25); M2 = 5.0 fixed.
    """
    M1 = C['M1']
    M2 = 5.0
    fM_M2 = C['a1'] + C['a4'] * (M2 - M1) + C['a8'] * (8.5 - M2) ** 2

    fM_above_M1 = (C['a1'] + C['a5'] * (mag - M1)
                   + C['a8'] * (8.5 - mag) ** 2)
    fM_mid = (C['a1'] + C['a4'] * (mag - M1)
              + C['a8'] * (8.5 - mag) ** 2)
    fM_below_M2 = (fM_M2 + C['a6'] * (mag - M2)
                   + C['a7'] * (mag - M2) ** 2)

    return np.where(mag >= M1, fM_above_M1,
                    np.where(mag >= M2, fM_mid, fM_below_M2))


def _get_fP(C, mag, rrup):
    """
    Path scaling fP [Eq. 4, Bayless & Somerville (2024)]::

        fP = [a2 + a3*(M-M1)] * ln(R) + a17*Rrup

    R = sqrt(Rrup^2 + c4M^2), where c4M represents near-source amplitude
    saturation from the finite-fault rupture dimension (ASK14 Eq. 4.4).

    The ln(R) term models magnitude-dependent geometric spreading;
    a17*Rrup models anelastic attenuation and scattering.

    Notes:

    - a17 differs between Cratonic (slower) and NonCratonic (faster).
    - c4M tapers with magnitude::

          M >= 5.0      : c4M = c4
          4 <= M < 5    : c4M = c4 - (c4 - 2.0) * (5.0 - M)
          M < 4.0       : c4M = 2.0

      The lower anchor is 2.0, an intentional deviation from ASK14
      (which uses 1.0); confirmed by Jeff Bayless (personal
      communication, May 2026) based on scaling for very small
      magnitudes at short distances.
    - For M < M2 = 5.0, geometric spreading is frozen at M2 (ASK14).
    """
    c4 = C['c4']
    M1 = C['M1']
    M2 = 5.0

    c4m = np.where(mag >= 5.0, c4,
                   np.where(mag >= 4.0, c4 - (c4 - 2.0) * (5.0 - mag),
                            2.0))

    R = np.sqrt(rrup**2 + c4m**2)

    mag_for_geom = np.where(mag < M2, M2, mag)
    return ((C['a2'] + C['a3'] * (mag_for_geom - M1)) * np.log(R)
            + C['a17'] * rrup)


def _get_fZtor(C, ztor):
    """
    Depth scaling fZtor [Eq. 5, Bayless & Somerville (2024)]::

        fZtor = d1*Z^3 + d2*Z^2 + d3*Z + d4
        Z = min(Ztor - 10, 5)

    The transformation Z = min(Ztor - 10, 5) replaces the original
    Z = min(Ztor, 20 km) following personal communication with Jeff
    Bayless [BS24 Appendix Rev2, May 2026].

    - Ztor is the depth to the top of the rupture plane (km).
    - d1 through d4 are period-dependent coefficients.
    - The model is centred at Ztor = 10 km (no scaling at reference
      depth). d4 is fixed to zero, so fZtor = 0 when Z = 0.
    - Z is capped at 5 km (Ztor >= 15 km) based on log-likelihood
      analysis of the simulation data.
    - For Ztor < 10 km, Z is negative, giving amplification at long
      periods and de-amplification at short periods (Rg wave effects).
    """
    Z = np.minimum(ztor - 10.0, 5.0)
    return C['d1'] * Z**3 + C['d2'] * Z**2 + C['d3'] * Z + C['d4']


def _get_stddevs(C, mag):
    """
    Aleatory variability (Al Atik 2015, Table 5.1 / Eq. 5.6 & 5.14)::

        sigma = sqrt(tau^2 + phi^2)

    tau: between-event standard deviation (Eq. 5.6, global model)
    phi: within-event standard deviation  (Eq. 5.14)
    """
    tau1, tau2 = 0.4518, 0.4270
    tau3, tau4 = 0.3863, 0.3508
    tau = np.where(
        mag > 6.5, tau4,
        np.where(mag > 5.5, tau3 + (tau4 - tau3) * (mag - 5.5) / 1.0,
                 np.where(mag > 5.0, tau2 + (tau3 - tau2) * (mag - 5.0) / 0.5,
                          np.where(mag > 4.5,
                                   tau1 + (tau2 - tau1) * (mag - 4.5) / 0.5,
                                   tau1))))
    PhiA, PhiB = C['PhiA'], C['PhiB']
    phi = np.where(mag <= 5.0, PhiA,
                   np.where(mag > 6.5, PhiB,
                            PhiA + (mag - 5.0) * (PhiB - PhiA) / 1.5))
    return np.sqrt(tau**2 + phi**2), tau, phi


def _get_fZ10(C, z1pt0, vs30, imt_period):
    """
    Basin depth scaling fZ1.0 [Boore et al. 2014, BSSA14].

    Z1.0 is the depth (km) to the 1.0 km/s shear-wave velocity
    horizon — a proxy for basin depth. Deep sedimentary basins have
    large Z1.0; hard-rock sites have very small Z1.0.

    No basin term is applied for periods T < 0.65 s (BSSA14 Eq. 9).

    The California reference Z1.0 (km) from BSSA14 Eq. 11::

        z1_ref = exp(-7.15/4 * ln((Vs30^4 + 570.94^4)
                                  / (1360^4 + 570.94^4))) / 1000

    dz1 = z1 - z1_ref is the deviation of the site's actual basin
    depth from the Vs30-implied reference. Positive dz1 indicates a
    deeper-than-average basin (extra amplification); negative dz1
    indicates a shallower basin (de-amplification). When z1pt0 < 0
    (not measured), z1 = z1_ref so dz1 = 0 and the term vanishes.

    b6 is the slope (amplification per km of extra basin depth) and
    b7 is the maximum cap value. The final term is capped at b7.
    """
    if imt_period < 0.65:
        # No basin term for short periods T < 0.65 s (BSSA14 Eq. 9)
        return np.zeros_like(vs30)

    # Expected (reference) Z1.0 for a given Vs30 (BSSA14 Eq. 11)
    z1_ref = (np.exp(-7.15 / 4.0 *
                     np.log((vs30**4 + 570.94**4)
                            / (1360.0**4 + 570.94**4)))
              / 1000.0)

    # Use measured z1pt0 where available; fall back to z1_ref otherwise
    z1 = np.where(z1pt0 < 0, z1_ref, z1pt0)

    dz1 = z1 - z1_ref  # BSSA14 Eq. 10

    b6, b7 = C['b6'], C['b7']
    # Avoid division by zero when b6 is zero
    ratio = np.where(np.abs(b6) > 1e-9, b7 / b6, 1e9)

    return np.where(dz1 <= ratio, b6 * dz1, b7)


def _get_fHW(C, ctx):
    """
    Hanging wall effects fHW
    (Donahue & Abrahamson 2014 with ASK14 implementation).

    The total hanging wall term is::

        fHW = a13 * T1 * T2 * T3 * T4 * T5

    The functional form with five tapers is described in Abrahamson
    et al. (2013) PEER Report 2013/04, Section 4.4, Eq. 4.11–4.15a.
    Each taper T1–T5 ranges from 0 to 1 (T1 can exceed 1 for dip <
    30°). Returns zero for footwall sites (rx <= 0) and vertical
    faults (dip = 90).

    Requires ctx attributes: rx, ry0, rrup, rjb, ztor, dip, mag, width.

    TAPER 1 — T1: Dip taper (ASK14 Eq. 4.11)::

        T1 = (90 - dip) / 45   for dip > 30°
        T1 = 60 / 45           for dip <= 30°

    TAPER 2 — T2: Magnitude taper (ASK14 Eq. 4.12)::

        T2 = 1 + a2*(M - 6.5)         for M >= 6.5
        T2 = 1 + a2*(M-6.5)
               - (1-a2)*(M-6.5)^2     for 5.5 < M < 6.5
        T2 = 0                         for M <= 5.5
        a2 = 0.2 (ASK14)

    TAPER 3 — T3: Rx distance taper (ASK14 Eq. 4.13)::

        R1 = W * cos(dip),  R2 = 3*R1
        T3 = h1 + h2*(Rx/R1) + h3*(Rx/R1)^2   for Rx < R1
        T3 = 1 - (Rx - R1) / (R2 - R1)         for R1 <= Rx <= R2
        T3 = 0                                   for Rx > R2
        h1=0.25, h2=1.5, h3=-0.75 (gives T3=0.25 at Rx=0, T3=1 at
        Rx=R1)

    TAPER 4 — T4: Depth to top of rupture taper (ASK14 Eq. 4.14)::

        T4 = 1 - (Ztor^2) / 100   for Ztor < 10 km
        T4 = 0                     for Ztor >= 10 km

    TAPER 5 — T5: Along-strike Ry0 taper (ASK14 Eq. 4.15a)::

        Ry1 = Rx * tan(20°)
        T5 = 1                          for Ry0 < Ry1
        T5 = 1 - (Ry0 - Ry1) / 5       for Ry0 - Ry1 < 5
        T5 = 0                          for Ry0 - Ry1 >= 5
        Ry0 = 0 when not available
        (sites along the rupture, no along-strike offset)
    """
    mag, rx, ztor, dip, width = ctx.mag, ctx.rx, ctx.ztor, ctx.dip, ctx.width

    # Taper 1: dip  [ASK14 Eq. 4.11]
    hw_t1 = np.where(dip <= 30.0, 60.0 / 45.0, (90.0 - dip) / 45.0)

    # Taper 2: magnitude  [ASK14 Eq. 4.12]
    hw_a2 = 0.2
    hw_t2 = np.where(
        mag >= 6.5,
        1.0 + hw_a2 * (mag - 6.5),
        np.where(
            mag > 5.5,
            1.0 + hw_a2 * (mag - 6.5) - (1.0 - hw_a2) * (mag - 6.5) ** 2,
            0.0))

    # Taper 3: Rx distance  [ASK14 Eq. 4.13]
    # h1, h2, h3, R1, R2 from ASK14 listed just before Eq. 4.15b
    h1 = 0.25
    h2 = 1.5
    h3 = -0.75
    R1 = width * np.cos(np.radians(dip))  # horizontal fault width projection
    R2 = 3.0 * R1
    hw_t3 = np.where(
        rx < 0.0, 0.0,
        np.where(
            rx > R2, 0.0,
            np.where(
                rx < R1,
                h1 + h2 * (rx / R1) + h3 * (rx / R1) ** 2,
                np.where((rx >= R1) & (rx <= R2),
                         1.0 - (rx - R1) / (R2 - R1),
                         0.0))))

    # Taper 4: Ztor depth  [ASK14 Eq. 4.14]
    hw_t4 = np.where(ztor < 10.0, 1.0 - ztor**2 / 100.0, 0.0)

    # Taper 5: along-strike Ry0  [ASK14 Eq. 4.15a]
    ry0 = getattr(ctx, 'ry0', np.zeros_like(rx))
    ry1 = rx * np.tan(np.radians(20.0))
    hw_t5 = np.where(
        ry0 < ry1, 1.0,
        np.where(ry0 - ry1 < 5.0,
                 1.0 - (ry0 - ry1) / 5.0,
                 0.0))

    return C['a13'] * hw_t1 * hw_t2 * hw_t3 * hw_t4 * hw_t5


def _get_fS(C, vs30, pga_rock):
    """
    Vs30 site amplification fS from Seyhan & Stewart (2014) as used
    in Boore et al. (2014; BSSA14).

    TERM 1 — flin: Linear site amplification (BSSA14 Eq. 6)::

        flin = c_site * ln(min(Vs30, vc) / 760)

    c_site: slope of linear amplification in log-velocity space.
    Negative values mean softer sites amplify more relative to the
    760 m/s reference.
    vc: velocity cap (m/s); amplification saturates above this value.

    TERM 2 — fnl: Nonlinear site amplification (BSSA14 Eq. 7–8)::

        fnl = b1 + b2 * log((pgar + b3) / b3)
        b2  = b4 * (exp(b5*(min(Vs30,760)-360))
                    - exp(b5*(760-360)))
        b1 = 0, b3 = 0.1 (hardcoded from Fortran)

    The nonlinear term captures soil softening: at high input shaking
    (large pga_rock), soft soils amplify less than linearly because
    they yield. The term is zero at the reference rock condition.
    """
    # Term 1: Linear
    flin = C['c_site'] * np.log(np.minimum(vs30, C['vc']) / 760.0)

    # Term 2: Nonlinear
    b1 = 0.0
    b3 = 0.1
    b2 = C['b4'] * (np.exp(C['b5'] * (np.minimum(vs30, 760.0) - 360.0))
                    - np.exp(C['b5'] * (760.0 - 360.0)))
    fnl = b1 + b2 * np.log((pga_rock + b3) / b3)

    return flin + fnl


[docs]class BaylessSomerville2024Cratonic(GMPE): """ Bayless and Somerville (2024) GMM for Cratonic Australia. Reference: Bayless J. and P. Somerville (2024). An Updated Ground Motion Model for Australia Developed Using Broadband Ground Motion Simulations. Proc. AEES 2024 National Conference, Adelaide, SA. Coefficients and Fortran code kindly provided by Jeff Bayless (jeff.bayless@aecom.com). Full coefficient tables from Appendix D, Bayless & Somerville (2024, updated May 2026), AECOM internal report. Implementation by T. Costa de Lima, April 2026, Geoscience Australia (thuany.costadelima@ga.gov.au). Note: Coefficients updated May 2026 following personal communication with Jeff Bayless: revised depth scaling Z = min(Ztor-10, 5), d4=0, updated a1/d1/d2/d3 coefficients. Applicable to Yilgarn, Gawler, Pilbara, Kimberley, and Northern Australian Cratons (NSHA23 Precambrian classification). Higher short-period ground motions and slower attenuation than the NonCratonic version. Model:: ln(RotD50) = fM + fP + fS + fZ1.0 + fZtor + fHW [Eq. 2] fM = magnitude scaling [Eq. 3, ASK14 polynomial] fP = distance scaling [Eq. 4, geometric + Q] fZtor = earthquake depth scaling [Eq. 5, cubic in Ztor] fS = Vs30 site amplification [adopted, BSSA14] fZ1.0 = basin depth scaling [adopted, BSSA14] fHW = hanging wall effects [adopted, ASK14] Aleatory variability (Eq. 6): Al Atik (2015) global model:: sigma = sqrt(tau^2 + phi^2) Applicability: M 4.0–8.0, Rrup 0–300 km, T 0.01–10 s, Vs30 150–1500 m/s. Output: ln(RotD50) in units of g. The Cratonic and NonCratonic versions share all coefficients except a1 (source level) and a17 (anelastic attenuation / Q). """ DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.STABLE_CONTINENTAL DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA} DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.RotD50 DEFINED_FOR_STANDARD_DEVIATION_TYPES = { const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT, } DEFINED_FOR_REFERENCE_VELOCITY = 760. REQUIRES_SITES_PARAMETERS = {'vs30', 'z1pt0'} REQUIRES_RUPTURE_PARAMETERS = {'mag', 'rake', 'ztor', 'dip', 'width'} REQUIRES_DISTANCES = {'rrup', 'rx', 'rjb'} def __init__(self, hwflag=1): self.hwflag = hwflag
[docs] def compute(self, ctx: np.recarray, imts, mean, sig, tau, phi): """ Compute mean ground motion and standard deviations. hwflag=1 (default): compute hanging wall term. hwflag=0: suppress hanging wall term (use for point sources where Rx is not defined). """ # Pass 1: rock PGA at Vs30=760 for the nonlinear site term. # Fortran uses T=0.01 s as the proxy for PGA. C_PGA = self.COEFFS[SA(0.01)] # The model equations produce ln(g) directly. The Fortran # reference adds 6.89 at output only to report in ln(cm/s2); # internally it operates in ln(g). pga_rock is in g. pga_rock = np.exp( _get_fM(C_PGA, ctx.mag) + _get_fP(C_PGA, ctx.mag, ctx.rrup) + _get_fZtor(C_PGA, ctx.ztor) ) # Pass 2: each IMT for m, imt in enumerate(imts): C = self.COEFFS[imt] imt_period = 0.0 if imt == PGA() else imt.period mean[m] = ( _get_fM(C, ctx.mag) + _get_fP(C, ctx.mag, ctx.rrup) + _get_fZtor(C, ctx.ztor) + _get_fS(C, ctx.vs30, pga_rock) + _get_fZ10(C, ctx.z1pt0, ctx.vs30, imt_period) + (_get_fHW(C, ctx) if self.hwflag == 1 else np.zeros_like(ctx.mag)) ) sig[m], tau[m], phi[m] = _get_stddevs(C, ctx.mag)
COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT a1 a17 M1 c4 a2 a3 a4 a5 a6 a7 a8 d1 d2 d3 d4 a13 c_site vc b4 b5 b6 b7 PhiA PhiB pga 1.5042 -0.005124 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1541 0.0000 -0.0017 1.680e-04 -3.109e-03 1.730e-02 0.0000 0.6000 -0.6037 1500 -0.1483 -0.0070 -9.9000 -9.9000 0.7131 0.5770 0.010 1.5042 -0.005124 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1541 0.0000 -0.0017 1.680e-04 -3.109e-03 1.730e-02 0.0000 0.6000 -0.6037 1500 -0.1483 -0.0070 -9.9000 -9.9000 0.7131 0.5770 0.011 1.5171 -0.005224 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1530 0.0000 -0.0017 1.680e-04 -3.109e-03 1.731e-02 0.0000 0.6000 -0.5996 1500 -0.1481 -0.0070 -9.9000 -9.9000 0.7130 0.5771 0.012 1.5310 -0.005322 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1520 0.0000 -0.0017 1.681e-04 -3.109e-03 1.731e-02 0.0000 0.6000 -0.5959 1500 -0.1480 -0.0071 -9.9000 -9.9000 0.7130 0.5772 0.013 1.5463 -0.005418 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1511 0.0000 -0.0017 1.681e-04 -3.110e-03 1.731e-02 0.0000 0.6000 -0.5924 1500 -0.1478 -0.0071 -9.9000 -9.9000 0.7129 0.5773 0.015 1.5828 -0.005601 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1494 0.0000 -0.0017 1.682e-04 -3.110e-03 1.732e-02 0.0000 0.6000 -0.5863 1500 -0.1476 -0.0072 -9.9000 -9.9000 0.7128 0.5774 0.017 1.6334 -0.005770 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1480 0.0000 -0.0017 1.683e-04 -3.111e-03 1.733e-02 0.0000 0.6000 -0.5809 1500 -0.1474 -0.0072 -9.9000 -9.9000 0.7127 0.5775 0.020 1.8230 -0.006087 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1461 0.0000 -0.0017 1.685e-04 -3.113e-03 1.736e-02 0.0000 0.6000 -0.5739 1500 -0.1471 -0.0073 -9.9000 -9.9000 0.7126 0.5777 0.022 1.9594 -0.006259 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1486 0.0000 -0.0017 1.685e-04 -3.115e-03 1.738e-02 0.0000 0.6000 -0.5645 1501 -0.1489 -0.0073 -9.9000 -9.9000 0.7137 0.5793 0.025 2.0755 -0.006479 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1519 0.0000 -0.0017 1.686e-04 -3.118e-03 1.745e-02 0.0000 0.6000 -0.5520 1502 -0.1514 -0.0073 -9.9000 -9.9000 0.7151 0.5814 0.029 2.1949 -0.006646 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1557 0.0000 -0.0017 1.690e-04 -3.123e-03 1.754e-02 0.0000 0.6000 -0.5374 1503 -0.1542 -0.0073 -9.9000 -9.9000 0.7167 0.5838 0.032 2.2621 -0.006667 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1475 0.0000 -0.0017 1.695e-04 -3.127e-03 1.761e-02 0.0000 0.6000 -0.5245 1503 -0.1596 -0.0072 -9.9000 -9.9000 0.7194 0.5875 0.035 2.3158 -0.006638 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1348 0.0000 -0.0017 1.700e-04 -3.135e-03 1.771e-02 0.0000 0.6000 -0.5111 1502 -0.1661 -0.0071 -9.9000 -9.9000 0.7226 0.5918 0.040 2.3795 -0.006528 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1160 0.0000 -0.0017 1.709e-04 -3.153e-03 1.788e-02 0.0000 0.6000 -0.4912 1502 -0.1758 -0.0069 -9.9000 -9.9000 0.7274 0.5982 0.045 2.4217 -0.006364 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0994 0.0000 -0.0017 1.718e-04 -3.174e-03 1.807e-02 0.0000 0.6000 -0.4737 1502 -0.1843 -0.0067 -9.9000 -9.9000 0.7407 0.6147 0.050 2.4465 -0.006199 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0845 0.0000 -0.0017 1.729e-04 -3.188e-03 1.823e-02 0.0000 0.6000 -0.4580 1501 -0.1920 -0.0065 -9.9000 -9.9000 0.7526 0.6295 0.055 2.4543 -0.006032 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0713 0.0000 -0.0017 1.736e-04 -3.194e-03 1.838e-02 0.0000 0.6000 -0.4547 1500 -0.2021 -0.0063 -9.9000 -9.9000 0.7614 0.6405 0.060 2.4539 -0.005870 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0593 0.0000 -0.0017 1.728e-04 -3.204e-03 1.865e-02 0.0000 0.6000 -0.4517 1498 -0.2113 -0.0061 -9.9000 -9.9000 0.7694 0.6505 0.065 2.4504 -0.005716 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0483 0.0000 -0.0017 1.726e-04 -3.213e-03 1.887e-02 0.0000 0.6000 -0.4490 1497 -0.2198 -0.0060 -9.9000 -9.9000 0.7767 0.6597 0.075 2.4282 -0.005441 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0285 0.0000 -0.0017 1.729e-04 -3.229e-03 1.913e-02 0.0000 0.6000 -0.4441 1494 -0.2350 -0.0057 -9.9000 -9.9000 0.7899 0.6761 0.085 2.4000 -0.005206 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0339 0.0000 -0.0017 1.744e-04 -3.237e-03 1.917e-02 0.0000 0.6000 -0.4629 1488 -0.2412 -0.0057 -9.9000 -9.9000 0.7932 0.6809 0.100 2.3424 -0.004904 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0408 0.0000 -0.0017 1.759e-04 -3.245e-03 1.911e-02 0.0000 0.6000 -0.4872 1479 -0.2492 -0.0056 -9.9000 -9.9000 0.7974 0.6872 0.110 2.2980 -0.004734 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0596 0.0000 -0.0017 1.761e-04 -3.248e-03 1.915e-02 0.0000 0.6000 -0.5089 1471 -0.2511 -0.0057 -9.9000 -9.9000 0.7927 0.6833 0.120 2.2527 -0.004582 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0768 0.0000 -0.0017 1.753e-04 -3.251e-03 1.926e-02 0.0000 0.6000 -0.5287 1463 -0.2528 -0.0057 -9.9000 -9.9000 0.7884 0.6797 0.130 2.2023 -0.004444 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.0926 0.0000 -0.0017 1.760e-04 -3.253e-03 1.912e-02 0.0000 0.6000 -0.5470 1456 -0.2543 -0.0058 -9.9000 -9.9000 0.7844 0.6765 0.150 2.1100 -0.004214 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1208 0.0000 -0.0017 1.761e-04 -3.247e-03 1.889e-02 0.0000 0.6000 -0.5796 1443 -0.2571 -0.0059 -9.9000 -9.9000 0.7773 0.6706 0.170 2.0198 -0.004018 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1657 0.0000 -0.0031 1.746e-04 -3.236e-03 1.877e-02 0.0000 0.6000 -0.6266 1421 -0.2525 -0.0060 -9.9000 -9.9000 0.7646 0.6607 0.200 1.9102 -0.003783 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.2241 0.0000 -0.0080 1.710e-04 -3.195e-03 1.876e-02 0.0000 0.6000 -0.6876 1393 -0.2466 -0.0061 -9.9000 -9.9000 0.7481 0.6478 0.220 1.8458 -0.003654 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.2618 0.0000 -0.0120 1.699e-04 -3.173e-03 1.864e-02 0.0000 0.6000 -0.7236 1377 -0.2419 -0.0063 -9.9000 -9.9000 0.7370 0.6396 0.240 1.7891 -0.003539 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.2962 0.0000 -0.0159 1.692e-04 -3.157e-03 1.841e-02 0.0000 0.6000 -0.7564 1363 -0.2377 -0.0064 -9.9000 -9.9000 0.7268 0.6321 0.260 1.7351 -0.003438 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.3180 0.0000 -0.0198 1.679e-04 -3.162e-03 1.813e-02 0.0000 0.6000 -0.7868 1346 -0.2321 -0.0065 -9.9000 -9.9000 0.7174 0.6257 0.280 1.6863 -0.003346 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.3285 0.0000 -0.0238 1.679e-04 -3.159e-03 1.775e-02 0.0000 0.6000 -0.8152 1327 -0.2254 -0.0066 -9.9000 -9.9000 0.7086 0.6203 0.300 1.6391 -0.003262 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.3383 0.0000 -0.0279 1.686e-04 -3.141e-03 1.734e-02 0.0000 0.6000 -0.8417 1308 -0.2191 -0.0067 -9.9000 -9.9000 0.7005 0.6152 0.350 1.5325 -0.003079 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.4082 0.0000 -0.0379 1.723e-04 -3.086e-03 1.629e-02 0.0000 0.5893 -0.8788 1279 -0.2066 -0.0069 -9.9000 -9.9000 0.6831 0.6069 0.400 1.4467 -0.002933 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.4688 0.0000 -0.0475 1.712e-04 -3.047e-03 1.565e-02 0.0000 0.5800 -0.9109 1253 -0.1958 -0.0071 -9.9000 -9.9000 0.6680 0.5998 0.450 1.3702 -0.002813 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.5162 0.0000 -0.0565 1.655e-04 -3.011e-03 1.547e-02 0.0000 0.5694 -0.9417 1227 -0.1848 -0.0073 -9.9000 -9.9000 0.6556 0.5943 0.500 1.3013 -0.002713 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.5586 0.0000 -0.0650 1.550e-04 -2.964e-03 1.566e-02 0.0000 0.5600 -0.9693 1204 -0.1750 -0.0074 -9.9000 -9.9000 0.6446 0.5893 0.550 1.2293 -0.002629 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.5876 0.0000 -0.0733 1.477e-04 -2.910e-03 1.553e-02 0.0000 0.5529 -0.9801 1191 -0.1665 -0.0076 -7.5512 -7.5590 0.6354 0.5854 0.600 1.1651 -0.002555 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.6141 0.0000 -0.0814 1.454e-04 -2.875e-03 1.478e-02 0.0000 0.5465 -0.9900 1179 -0.1587 -0.0077 -5.4070 -5.4218 0.6270 0.5819 0.650 1.1003 -0.002489 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.6385 0.0000 -0.0895 1.409e-04 -2.840e-03 1.415e-02 0.0000 0.5406 -0.9991 1167 -0.1515 -0.0079 -3.4345 -3.4558 0.6193 0.5786 0.750 0.9799 -0.002383 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.6821 0.0000 -0.1044 1.275e-04 -2.727e-03 1.319e-02 0.0000 0.5300 -1.0154 1148 -0.1387 -0.0081 0.0920 0.0590 0.6055 0.5728 0.850 0.9275 -0.002584 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.7173 0.0000 -0.1180 1.026e-04 -2.513e-03 1.245e-02 0.0000 0.5169 -1.0305 1131 -0.1241 -0.0083 0.2116 0.1238 0.5943 0.5669 1.000 0.6928 -0.002658 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.7630 0.0000 -0.1360 3.420e-05 -1.965e-03 1.227e-02 0.0000 0.5000 -1.0500 1110 -0.1052 -0.0084 0.3670 0.2080 0.5797 0.5593 1.100 0.4995 -0.002630 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.7800 0.0000 -0.1465 -3.040e-05 -1.493e-03 1.338e-02 0.0000 0.4812 -1.0489 1101 -0.0950 -0.0083 0.4307 0.2317 0.5717 0.5545 1.200 0.3002 -0.002568 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.7956 0.0000 -0.1559 -1.122e-04 -9.342e-04 1.591e-02 0.0000 0.4640 -1.0479 1093 -0.0858 -0.0081 0.4889 0.2534 0.5644 0.5501 1.300 0.1286 -0.002495 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.8099 0.0000 -0.1644 -1.897e-04 -4.667e-04 1.895e-02 0.0000 0.4482 -1.0470 1086 -0.0772 -0.0080 0.5424 0.2734 0.5577 0.5460 1.500 -0.1423 -0.002160 6.75 4.5 -0.7626 0.22 -0.0209 -0.3309 2.8355 0.0000 -0.1792 -3.026e-04 1.986e-04 2.302e-02 0.0000 0.4200 -1.0454 1072 -0.0620 -0.0077 0.6380 0.3090 0.5457 0.5388 1.700 -0.3346 -0.001818 6.75 4.5 -0.7622 0.22 -0.0209 -0.3309 2.8624 0.0000 -0.1914 -3.802e-04 6.619e-04 2.494e-02 0.0000 0.3895 -1.0427 1045 -0.0507 -0.0064 0.7394 0.3408 0.5362 0.5324 2.000 -0.6010 -0.001338 6.75 4.5 -0.7595 0.22 -0.0209 -0.3309 2.8973 0.0000 -0.2062 -4.649e-04 1.213e-03 2.586e-02 0.0000 0.3500 -1.0392 1009 -0.0361 -0.0048 0.8710 0.3820 0.5239 0.5240 2.200 -0.7595 -0.001087 6.7665 4.5 -0.7567 0.22 -0.0209 -0.3309 2.8994 0.0000 -0.2143 -5.032e-04 1.549e-03 2.533e-02 0.0000 0.3147 -1.0326 989 -0.0308 -0.0041 0.9331 0.4135 0.5180 0.5180 2.400 -0.8951 -0.000881 6.7815 4.5 -0.7535 0.22 -0.0209 -0.3309 2.9013 0.0000 -0.2211 -5.111e-04 1.845e-03 2.269e-02 0.0000 0.2826 -1.0266 970 -0.0260 -0.0035 0.9897 0.4423 0.5125 0.5126 2.600 -1.0299 -0.000730 6.7953 4.5 -0.7472 0.22 -0.0209 -0.3309 2.9030 0.0000 -0.2268 -4.640e-04 2.079e-03 1.563e-02 0.0000 0.2529 -1.0211 953 -0.0215 -0.0029 1.0418 0.4687 0.5075 0.5076 2.800 -1.1476 -0.000611 6.8081 4.5 -0.7422 0.22 -0.0209 -0.3309 2.9046 0.0000 -0.2314 -3.883e-04 2.283e-03 6.109e-03 0.0000 0.2255 -1.0160 937 -0.0174 -0.0023 1.0901 0.4932 0.5029 0.5029 3.000 -1.2695 -0.000529 6.82 4.5 -0.7346 0.22 -0.0209 -0.3309 2.9061 0.0000 -0.2350 -3.127e-04 2.480e-03 -2.759e-03 0.0000 0.2000 -1.0112 922 -0.0136 -0.0018 1.1350 0.5160 0.4986 0.4986 3.500 -1.5564 -0.000372 6.8736 4.5 -0.7134 0.22 -0.0209 -0.3309 2.8968 0.0000 -0.2413 -1.302e-04 2.843e-03 -2.288e-02 0.0000 0.0928 -0.9888 881 -0.0080 -0.0017 1.2079 0.5765 0.4917 0.4917 4.000 -1.7879 -0.000309 6.92 4.5 -0.6882 0.22 -0.0209 -0.3309 2.8888 0.0000 -0.2451 4.180e-05 2.939e-03 -4.045e-02 0.0000 0.0000 -0.9694 844 -0.0032 -0.0015 1.2710 0.6290 0.4857 0.4857 4.400 -1.9478 -0.000294 6.9542 4.5 -0.6698 0.22 -0.0209 -0.3309 2.8929 0.0000 -0.2472 1.500e-04 2.822e-03 -5.119e-02 0.0000 0.0000 -0.9481 823 -0.0020 -0.0015 1.2958 0.6756 0.4828 0.4828 5.000 -2.1623 -0.000294 7.00 4.5 -0.6449 0.22 -0.0209 -0.3309 2.8984 0.0000 -0.2498 2.338e-04 2.132e-03 -5.931e-02 0.0000 0.0000 -0.9195 793 -0.0003 -0.0014 1.3290 0.7380 0.4789 0.4789 5.500 -2.3222 -0.000294 7.0314 4.5 -0.6261 0.22 -0.0209 -0.3309 2.8969 0.0000 -0.2517 2.670e-04 1.366e-03 -6.241e-02 0.0000 0.0000 -0.8859 788 -0.0003 -0.0014 1.3290 0.7547 0.4773 0.4773 6.000 -2.4682 -0.000294 7.06 4.5 -0.6088 0.22 -0.0209 -0.3309 2.8955 0.0000 -0.2534 2.800e-04 6.464e-04 -6.331e-02 0.0000 0.0000 -0.8552 783 -0.0002 -0.0014 1.3290 0.7699 0.4758 0.4758 6.500 -2.6025 -0.000294 7.0905 4.5 -0.5926 0.22 -0.0209 -0.3309 2.8864 0.0000 -0.2549 2.597e-04 2.179e-04 -6.046e-02 0.0000 0.0000 -0.8270 779 -0.0002 -0.0014 1.3290 0.7839 0.4745 0.4744 7.500 -2.8425 -0.000294 7.145 4.5 -0.5633 0.22 -0.0209 -0.3309 2.8700 0.0000 -0.2575 1.959e-04 -4.168e-04 -5.238e-02 0.0000 0.0000 -0.7766 771 -0.0001 -0.0014 1.3290 0.8090 0.4721 0.4720 8.500 -2.8563 -0.000294 7.1907 4.5 -0.5371 0.22 -0.0209 -0.3309 2.8583 0.0000 -0.2595 1.410e-04 -6.883e-04 -4.461e-02 0.0000 0.0000 -0.7240 773 -0.0001 -0.0014 1.2655 0.7629 0.4712 0.4711 10.000 -3.3252 -0.000294 7.25 4.5 -0.5025 0.22 -0.0209 -0.3309 2.8431 0.0000 -0.2621 7.450e-05 -9.020e-04 -3.454e-02 0.0000 0.0000 -0.6558 775 0.0000 -0.0014 1.1830 0.7030 0.4700 0.4700 """)
[docs]class BaylessSomerville2024NonCratonic(BaylessSomerville2024Cratonic): """ Bayless and Somerville (2024) GMM for Non-Cratonic Australia. Applicable to Eastern Australian Phanerozoic Accretionary Terranes, extended and oceanic crust (NSHA23 Phanerozoic classification). Lower short-period ground motions and more rapid attenuation than the Cratonic version. Differs from :class:`BaylessSomerville2024Cratonic` only in coefficients a1 (source level) and a17 (anelastic attenuation / crustal Q). """ COEFFS = CoeffsTable(sa_damping=5, table="""\ IMT a1 a17 M1 c4 a2 a3 a4 a5 a6 a7 a8 d1 d2 d3 d4 a13 c_site vc b4 b5 b6 b7 PhiA PhiB pga 0.9145 -0.007517 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1541 0.0000 -0.0017 1.680e-04 -3.109e-03 1.730e-02 0.0000 0.6000 -0.6037 1500 -0.1483 -0.0070 -9.9000 -9.9000 0.7131 0.5770 0.010 0.9145 -0.007517 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1541 0.0000 -0.0017 1.680e-04 -3.109e-03 1.730e-02 0.0000 0.6000 -0.6037 1500 -0.1483 -0.0070 -9.9000 -9.9000 0.7131 0.5770 0.011 0.9187 -0.007525 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1530 0.0000 -0.0017 1.680e-04 -3.109e-03 1.731e-02 0.0000 0.6000 -0.5996 1500 -0.1481 -0.0070 -9.9000 -9.9000 0.7130 0.5771 0.012 0.9225 -0.007533 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1520 0.0000 -0.0017 1.681e-04 -3.109e-03 1.731e-02 0.0000 0.6000 -0.5959 1500 -0.1480 -0.0071 -9.9000 -9.9000 0.7130 0.5772 0.013 0.9265 -0.007540 6.75 4.5 -0.7627 0.22 -0.0209 -0.3309 2.1511 0.0000 -0.0017 1.681e-04 -3.110e-03 1.731e-02 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