From 64f3c35762dfa99d34c55bd21d87bd6e3b350e4d Mon Sep 17 00:00:00 2001 From: Jason Altekruse <jaltekruse@usgs.gov> Date: Wed, 2 Feb 2022 17:18:47 -0700 Subject: [PATCH] add Pezeshk et al. (2018). not quite right yet --- .../gov/usgs/earthquake/nshmp/gmm/Gmm.java | 14 ++ .../nshmp/gmm/PezeshkEtAl_2018.java | 220 ++++++++++++++++++ src/main/resources/gmm/coeffs/PZCT18_1SS.csv | 24 ++ src/main/resources/gmm/coeffs/PZCT18_2ES.csv | 24 ++ .../resources/gmm/coeffs/PZCT18_sigmas.csv | 24 ++ 5 files changed, 306 insertions(+) create mode 100644 src/main/java/gov/usgs/earthquake/nshmp/gmm/PezeshkEtAl_2018.java create mode 100644 src/main/resources/gmm/coeffs/PZCT18_1SS.csv create mode 100644 src/main/resources/gmm/coeffs/PZCT18_2ES.csv create mode 100644 src/main/resources/gmm/coeffs/PZCT18_sigmas.csv diff --git a/src/main/java/gov/usgs/earthquake/nshmp/gmm/Gmm.java b/src/main/java/gov/usgs/earthquake/nshmp/gmm/Gmm.java index 3f6aeeef..9c5fdee0 100644 --- a/src/main/java/gov/usgs/earthquake/nshmp/gmm/Gmm.java +++ b/src/main/java/gov/usgs/earthquake/nshmp/gmm/Gmm.java @@ -1101,6 +1101,20 @@ public enum Gmm { NgaEastUsgs_2017.COEFFS_SIGMA_PANEL, NgaEastUsgs_2017.CONSTRAINTS), + /** @see PezeshkEtAl_2018 */ + PZCT18_1SS( + PezeshkEtAl_2018.PZCT18_1SS.class, + PezeshkEtAl_2018.PZCT18_1SS.NAME, + PezeshkEtAl_2018.COEFFS_1SS, + PezeshkEtAl_2018.CONSTRAINTS), + + /** @see PezeshkEtAl_2018 */ + PZCT18_2ES( + PezeshkEtAl_2018.PZCT18_2ES.class, + PezeshkEtAl_2018.PZCT18_2ES.NAME, + PezeshkEtAl_2018.COEFFS_2ES, + PezeshkEtAl_2018.CONSTRAINTS), + /* Combined: must be declared after any dependent models above. */ /** diff --git a/src/main/java/gov/usgs/earthquake/nshmp/gmm/PezeshkEtAl_2018.java b/src/main/java/gov/usgs/earthquake/nshmp/gmm/PezeshkEtAl_2018.java new file mode 100644 index 00000000..63e73999 --- /dev/null +++ b/src/main/java/gov/usgs/earthquake/nshmp/gmm/PezeshkEtAl_2018.java @@ -0,0 +1,220 @@ +/** + * + */ +package gov.usgs.earthquake.nshmp.gmm; + +import static gov.usgs.earthquake.nshmp.gmm.GmmInput.Field.MW; +import static gov.usgs.earthquake.nshmp.gmm.GmmInput.Field.RRUP; +import static gov.usgs.earthquake.nshmp.gmm.GmmInput.Field.VS30; +import static gov.usgs.earthquake.nshmp.gmm.GmmUtils.BASE_10_TO_E; +import static java.lang.Math.exp; +import static java.lang.Math.log10; +import static java.lang.Math.max; +import static java.lang.Math.min; +import static java.lang.Math.sqrt; + +import java.util.Map; + +import com.google.common.collect.Range; + +import gov.usgs.earthquake.nshmp.gmm.GmmInput.Constraints; +import gov.usgs.earthquake.nshmp.gmm.NgaEastUsgs_2017.SiteAmp; +import gov.usgs.earthquake.nshmp.tree.LogicTree; + +/** + * Implementation of the Pezeshk et al. (2018) ground motion model for central + * and eastern North America (CENA). Pezeshk et al. (2018) provide coefficients + * for two hybrid empirical method (HEM) ground-motion prediction equations, one + * based on a stochastic-scaling approach (PZCT-1SS) and one using the + * empirical-scaling approach (PZCT-2ES). The latter model is preferred by the + * authors as the empirical-scaling approach reduces oversaturation of GMIM + * predictions at large magnitudes, short distances, and short periods. + * + * The prediction of GMIMs for site conditions other than Vs30 = 3000 m/s and k0 + * = 0.006s requires the use of appropriate site-amplification factors. + * + * Questions: + * + * - Table 4, should C10 at 3 sec be negative? There are other coefs that look + * like they may have the wrong sign + * + * <p><b>Note:</b> Direct instantiation of {@code GroundMotionModel}s is + * prohibited. Use {@link Gmm#instance(Imt)} to retrieve an instance for a + * desired {@link Imt}. + * + * <p><b>Reference:</b> Pezeshk, S., Zandieh, A., Campbell, K.W., and Tavakoli, + * B., 2018, Ground-motion prediction equations for Central and Eastern North + * America using the hybrid empirical method and NGA-West2 Empirical + * ground-motion models: Bulletin of the Seismological Society of America, v. + * 108, n. 4, p. 2278-2304, August 2018. + * + * + * <p><b>doi:</b> <a href="http://dx.doi.org/10.1785/0120170179"> + * 10.1785/0120170179</a> + * + * <p><b>Component:</b> **** RotD50 ? + * + * @author U.S. Geological Survey + * @see Gmm#PZCT18_1SS + * @see Gmm#PZCT18_2ES + */ +public abstract class PezeshkEtAl_2018 implements GroundMotionModel { + + public static void main(String[] args) { + Coefficients c = new Coefficients(Imt.SA1P0, COEFFS_1SS, COEFFS_SIGMAS, Model.PZCT18_1SS); + System.out.println("hello"); + System.out.println(c); + System.out.println(COEFFS_1SS.imts()); + System.out.println(COEFFS_1SS.parseImt("0.04")); + + } + + static final String NAME = "Pezeshk et al. (2018)"; + + static final Constraints CONSTRAINTS = Constraints.builder() + .set(MW, Range.closed(4.0, 8.0)) + .set(RRUP, Range.closed(0.0, 1000.0)) + .set(VS30, Range.closed(0.0, 3000.0)) // ? + .build(); + + static final class Model { + static final String PZCT18_1SS = "PZCT18-1SS"; + static final String PZCT18_2ES = "PZCT18-2ES"; + } + + /* + * Note: 0.04 seconds commented out because NGA-East SiteAmp doesn't support + * SA0P04 (also commented out there), similarly 0.08 seconds is commented out + * because SA0P08 is not supported by NGA-East SiteAmp. + */ + static final CoefficientContainer COEFFS_1SS = new CoefficientContainer("PZCT18_1SS.csv"); + static final CoefficientContainer COEFFS_2ES = new CoefficientContainer("PZCT18_2ES.csv"); + static final CoefficientContainer COEFFS_SIGMAS = new CoefficientContainer("PZCT18_sigmas.csv"); + + private static final class Coefficients { + final Imt imt; + final double c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, σReg; + final double c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25; + final String model; + + Coefficients(Imt imt, CoefficientContainer cc, CoefficientContainer cc_sigma, String model) { + this.imt = imt; + this.model = model; + + Map<String, Double> coeffs = cc.get(imt); + Map<String, Double> coeffs_sigma = cc_sigma.get(imt); + + // median model coefficients + c1 = coeffs.get("c1"); + c2 = coeffs.get("c2"); + c3 = coeffs.get("c3"); + c4 = coeffs.get("c4"); + c5 = coeffs.get("c5"); + c6 = coeffs.get("c6"); + c7 = coeffs.get("c7"); + c8 = coeffs.get("c8"); + c9 = coeffs.get("c9"); + c10 = coeffs.get("c10"); + c11 = coeffs.get("c11"); + σReg = coeffs.get("σReg"); + + // between-event variability coefficients + c12 = coeffs_sigma.get("c12"); + c13 = coeffs_sigma.get("c13"); + c14 = coeffs_sigma.get("c14"); + c15 = coeffs_sigma.get("c15"); + c16 = coeffs_sigma.get("c16"); + c17 = coeffs_sigma.get("c17"); + c18 = coeffs_sigma.get("c18"); + // within-event variability coefficients + c19 = coeffs_sigma.get("c19"); + c20 = coeffs_sigma.get("c20"); + c21 = coeffs_sigma.get("c21"); + c22 = coeffs_sigma.get("c22"); + c23 = coeffs_sigma.get("c23"); + c24 = coeffs_sigma.get("c24"); + c25 = coeffs_sigma.get("c25"); + } + + } + + private final Coefficients coeffs; + private final Coefficients coeffsPga; + private final SiteAmp siteAmp; + + PezeshkEtAl_2018(Imt imt, String model) { + CoefficientContainer cc = (model == Model.PZCT18_1SS) ? COEFFS_1SS : COEFFS_2ES; + coeffs = new Coefficients(imt, cc, COEFFS_SIGMAS, model); + coeffsPga = new Coefficients(Imt.PGA, cc, COEFFS_SIGMAS, model); + this.siteAmp = new NgaEastUsgs_2017.SiteAmp(imt); + } + + @Override + public LogicTree<GroundMotion> calc(GmmInput in) { + double μPga = exp(calcMean(coeffsPga, in.Mw, in.rRup)); + double μ = calcMean(coeffs, in.Mw, in.rRup); + double σ = calcStdDev(coeffs, in.Mw); + + SiteAmp.Value fSite = siteAmp.calc(μPga, in.vs30); + double μ2 = fSite.apply(μ); + assert μ2 == μ; + + return GroundMotions.createTree(μ, σ); + } + + private double calcMean(Coefficients c, double Mw, double Rrup) { + if (c.imt == Imt.SA1P0) { + System.out.printf("Model %s: Mw = %.1f, Rrup = %.1f\n", c.model, Mw, Rrup); + } + /* Eq. 5 */ + double R = sqrt(Rrup * Rrup + c.c11 * c.c11); + /* Eq. 4 - log10 units */ + double μ = c.c1 + + (c.c2 * Mw) + + (c.c3 * Mw * Mw) + + (c.c4 + c.c5 * Mw) * min(log10(R), log10(60.0)) + + (c.c6 + c.c7 * Mw) * max(min(log10(R / 60.0), log10(2.0)), 0.0) + + (c.c8 + c.c9 * Mw) * max(log10(R / 120.0), 0.0) + + (c.c10 * R); + return μ * BASE_10_TO_E; + } + + private double calcStdDev(Coefficients c, double Mw) { + /* Aleatory standard deviation */ + /* Eq. 6 (between-event term) and Eq. 7 (within-event term) - natural log */ + double τ, φ; + if (Mw <= 4.5) { + τ = c.c12; + φ = c.c19 + c.c20 * Mw; + } else if (Mw <= 5.0) { + τ = c.c13 + c.c14 * Mw; + φ = c.c21 + c.c22 * Mw; + } else if (Mw <= 6.5) { + τ = c.c15 + c.c16 * Mw; + φ = c.c23 + c.c24 * Mw; + } else { + τ = c.c17 + c.c18 * Mw; + φ = c.c25; + } + return sqrt(τ * τ + φ * φ); + } + + static final class PZCT18_1SS extends PezeshkEtAl_2018 { + static final String MODEL = Model.PZCT18_1SS; + static final String NAME = PezeshkEtAl_2018.NAME + " : " + MODEL; + + PZCT18_1SS(Imt imt) { + super(imt, MODEL); + } + } + + static final class PZCT18_2ES extends PezeshkEtAl_2018 { + static final String MODEL = Model.PZCT18_2ES; + static final String NAME = PezeshkEtAl_2018.NAME + " : " + MODEL; + + PZCT18_2ES(Imt imt) { + super(imt, MODEL); + } + } + +} diff --git a/src/main/resources/gmm/coeffs/PZCT18_1SS.csv b/src/main/resources/gmm/coeffs/PZCT18_1SS.csv new file mode 100644 index 00000000..150322dd --- /dev/null +++ b/src/main/resources/gmm/coeffs/PZCT18_1SS.csv @@ -0,0 +1,24 @@ + T, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, σReg + PGA, -2.043e-1, 7.805e-1, -8.063e-2, -3.956, 3.901e-1, -3.259e-1, 8.243e-2, -1.928e+0, 2.511e-1, -2.347e-3, -6.368, 6.757e-2 + 0.01, 4.265e-1, 7.075e-1, -7.832e-2, -4.184, 4.091e-1, -6.455e-1, 1.049e-1, -2.056e+0, 2.585e-1, -2.286e-3, 6.653, 6.683e-2 + 0.02, 6.573e-1, 6.803e-1, -7.444e-2, -4.088, 3.909e-1, -6.327e-1, 5.930e-2, -2.645e+0, 2.934e-1, -2.045e-3, 6.723, 7.019e-2 + 0.03, 3.420e-1, 7.205e-1, -7.437e-2, -3.896, 3.729e-1, 6.628e-3, -1.971e-2, -2.848e+0, 3.026e-1, -2.068e-3, 6.523, 7.611e-2 +#0.04, -1.266e-2, 7.652e-1, -7.558e-2, -3.753, 3.644e-1, 5.479e-1, -6.757e-2, -2.577e+0, 2.711e-1, -2.376e-3, -6.332, 8.139e-2 + 0.05, -2.608e-1, 7.963e-1, -7.698e-2, -3.683, 3.639e-1, 7.904e-1, -7.123e-2, -2.094e+0, 2.232e-1, -2.747e-3, -6.190, 8.635e-2 +#0.08, -7.995e-1, 9.087e-1, -8.460e-2, -3.587, 3.591e-1, 6.022e-1, 3.520e-3, -1.075e+0, 1.398e-1, -3.319e-3, 6.105, 9.263e-2 + 0.10, -1.391e+0, 1.060e+0, -9.486e-2, -3.475, 3.439e-1, 2.369e-1, 6.864e-2, -4.517e-1, 8.967e-2, -3.481e-3, 6.130, 9.041e-2 + 0.15, -2.425e+0, 1.322e+0, -1.117e-1, -3.322, 3.177e-1, -3.225e-1, 1.450e-1, 1.825e-1, 8.081e-3, -3.216e-3, 6.229, 8.438e-2 + 0.20, -3.243e+0, 1.537e+0, -1.262e-1, -3.278, 3.062e-1, -5.643e-1, 1.689e-1, 1.641e-1, -4.100e-3, -2.638e-3, 6.366, 8.335e-2 + 0.25, -3.858e+0, 1.685e+0, -1.361e-1, -3.265, 3.024e-1, -6.514e-1, 1.742e-1, 5.760e-2, -3.273e-3, -2.137e-3, 6.331, 8.384e-2 + 0.30, -4.240e+0, 1.772e+0, -1.419e-1, -3.291, 3.053e-1, -6.865e-1, 1.736e-1, -6.002e-2, 2.221e-3, -1.744e-3, 6.318, 8.163e-2 + 0.40, -5.013e+0, 1.932e+0, -1.501e-1, -3.235, 2.919e-1, -6.095e-1, 1.481e-1, -3.715e-1, 2.499e-2, -1.072e-3, 6.493, 7.561e-2 + 0.50, -5.441e+0, 2.005e+0, -1.532e-1, -3.232, 2.888e-1, -5.287e-1, 1.262e-1, -6.771e-1, 5.550e-2, -6.642e-4, 6.558, 6.897e-2 + 0.75, -6.085e+0, 2.070e+0, -1.533e-1, -3.201, 2.863e-1, -4.266e-1, 1.014e-1, -9.856e-1, 8.410e-2, -3.040e-4, 6.303, 6.329e-2 + 1.00, -6.446e+0, 2.077e+0, -1.498e-1, -3.165, 2.814e-1, -3.605e-1, 8.293e-2, -1.113e+0, 9.241e-2, -1.857e-4, 6.187, 6.259e-2 + 1.50, -6.727e+0, 1.992e+0, -1.381e-1, -3.132, 2.848e-1, -2.712e-1, 6.172e-2, -1.272e+0, 1.104e-1, -4.798e-5, 5.818, 6.435e-2 + 2.00, -6.801e+0, 1.907e+0, -1.289e-1, -3.162, 2.935e-1, -2.309e-1, 4.892e-2, -1.438e+0, 1.316e-1, -3.612e-6, 5.655, 6.504e-2 + 3.00, -6.740e+0, 1.729e+0, -1.104e-1, -3.199, 3.019e-1, -1.443e-1, 2.933e-2, -1.619e+0, 1.535e-1, 1.309e-5, -5.447, 6.739e-2 + 4.00, -6.638e+0, 1.589e+0, -9.647e-2, -3.220, 3.074e-1, -1.276e-1, 2.714e-2, -1.575e+0, 1.411e-1, -4.202e-5, -5.592, 6.594e-2 + 5.00, -6.726e+0, 1.536e+0, -8.978e-2, -3.231, 3.089e-1, -1.063e-1, 2.324e-2, -1.572e+0, 1.354e-1, -9.189e-5, 5.726, 6.501e-2 + 7.50, -7.194e+0, 1.514e+0, -8.441e-2, -3.236, 3.170e-1, -1.766e-2, 1.731e-2, -1.658e+0, 1.494e-1, -1.369e-4, 5.846, 6.265e-2 +10.00, -7.507e+0, 1.522e+0, -8.393e-2, -3.290, 3.257e-1, 1.807e-1, -3.022e-3, -1.615e+0, 1.461e-1, -1.939e-4, 5.701, 6.838e-2 diff --git a/src/main/resources/gmm/coeffs/PZCT18_2ES.csv b/src/main/resources/gmm/coeffs/PZCT18_2ES.csv new file mode 100644 index 00000000..4832aa30 --- /dev/null +++ b/src/main/resources/gmm/coeffs/PZCT18_2ES.csv @@ -0,0 +1,24 @@ + T, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, σReg + PGA, -7.655e-1, 8.994e-1, -7.874e-2, -3.534, 2.948e-1, -4.799e-1, 1.178e-1, -2.182e+0, 3.029e-1, -2.327e-3, 6.461, 5.836e-2 + 0.01, -1.871e-1, 8.314e-1, -7.503e-2, -3.714, 3.030e-1, -7.793e-1, 1.360e-1, -2.307e+0, 3.093e-1, -2.263e-3, 6.745, 5.637e-2 + 0.02, 8.387e-2, 7.934e-1, -7.073e-2, -3.641, 2.898e-1, -7.692e-1, 9.124e-2, -2.885e+0, 3.399e-1, -2.013e-3, 6.814, 5.774e-2 + 0.03, -1.786e-1, 8.256e-1, -7.148e-2, 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