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 a2692e9df45beeb5695c6cdca331422708fe5820..6fad8ce77522297b8b4fdd52d04999d211555282 100644 --- a/src/main/java/gov/usgs/earthquake/nshmp/gmm/Gmm.java +++ b/src/main/java/gov/usgs/earthquake/nshmp/gmm/Gmm.java @@ -53,6 +53,18 @@ public enum Gmm { * argument. */ + MA_05_BASE( + MotazedianAtkinson_2005.class, + MotazedianAtkinson_2005.NAME, + MotazedianAtkinson_2005.COEFFS, + MotazedianAtkinson_2005.CONSTRAINTS), + + MA_05( + MotazedianAtkinson_2005.Usgs.class, + MotazedianAtkinson_2005.NAME, + MotazedianAtkinson_2005.COEFFS, + MotazedianAtkinson_2005.CONSTRAINTS), + /* * Active continent NGA-West1 WUS 2008. * diff --git a/src/main/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005.java b/src/main/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005.java new file mode 100644 index 0000000000000000000000000000000000000000..00cd66017f0fe1c1d118c6cc050652723bd32da1 --- /dev/null +++ b/src/main/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005.java @@ -0,0 +1,261 @@ +package gov.usgs.earthquake.nshmp.gmm; + +import static gov.usgs.earthquake.nshmp.gmm.Gmm.BA_08_BASE; +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 gov.usgs.earthquake.nshmp.gmm.GmmUtils.LN_G_CM_TO_M; +import static gov.usgs.earthquake.nshmp.gmm.Imt.PGA; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P01; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P02; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P03; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P05; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P06; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P075; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P08; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P1; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P12; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P15; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P16; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P2; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P5; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P6; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P75; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P8; +import static gov.usgs.earthquake.nshmp.gmm.Imt.SA1P0; +import static java.lang.Math.log10; +import static java.lang.Math.sqrt; + +import java.util.EnumMap; +import java.util.Map; +import java.util.Optional; + +import com.google.common.collect.ImmutableMap; +import com.google.common.collect.Maps; +import com.google.common.collect.Range; + +import gov.usgs.earthquake.nshmp.data.Interpolator; +import gov.usgs.earthquake.nshmp.gmm.GmmInput.Constraints; +import gov.usgs.earthquake.nshmp.tree.LogicTree; + +/** + * Implementation of the ground motion relations for Puerto Rico by Motazedian + * and Atkinson (2005) in order to evaluate the model for use in the 2025 Puerto + * Rico and U.S. Virgin Islands NSHM. + * + * <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>Implementation notes:</b><ul> + * + * <li>Published coefficients are defined in frequency-space. Frequencies are + * converted to the closest existing spectral period in IMT.</li> + * + * <li>Support for spectral period 0.01s is provided using the same coefficients + * as PGA.</li> + * + * <li>Support for spectral periods 0.02, 0.03, 0.05, 0.075, 0.15, and 0.75 s is + * provided via interpolation of ground motion and sigma of adjacent periods for + * which there are coefficients.</li> + * + * <li>Base model is for soft rock site classes only (Vs30 = 760 m/s).</li> + * + * <li>USGS subclass adds site-scaling model of BA08.</li> + * + * <p><b>Reference:</b> Motazedian, D. and Atkinson, G., 2005, Ground-motion + * relations for Puerto Rico, in Mann, P., ed., Active tectonics and seismic + * hazards of Puerto Rico, the Virgin Islands, and offshore areas: Geological + * Society of America Special Paper 385, p. 61-80. + * + * <p><b>doi: </b> <a href="https://doi.org/10.1130/SPE385">10.1130/SPE385</a> + * + * <p><b>Component:</b> Geometric mean of two horizontal components + * + * @author U.S. Geological Survey + * @see Gmm#MA_05_BASE + * @see Gmm#MA_05 + */ +public class MotazedianAtkinson_2005 implements GroundMotionModel { + + static final String NAME = "Motazedian & Atkinson (2005) BETA"; + + static final Constraints CONSTRAINTS = Constraints.builder() + .set(MW, Range.closed(4.0, 9.5)) + .set(RRUP, Range.closed(0.0, 1000.0)) + .set(VS30, Range.singleton(760.0)) + .build(); + + /* + * Published coefficients are given for frequency (Hz). These are converted to + * the closest available IMT period. Published PGA coefficients are duplicated + * for 0.01 sec. Non-MPRS coefficients for 1.25, 2.5, and 6 s commented out. + */ + static final CoefficientContainer COEFFS = + new CoefficientContainer("MotazedianAtkinson05_interp.csv"); + + /* Interpolated IMTs to support MPRS. */ + private static final Map<Imt, Range<Imt>> INTERPOLATED_IMTS = + Maps.immutableEnumMap( + ImmutableMap.<Imt, Range<Imt>> builder() + .put(SA0P02, Range.closed(SA0P01, SA0P06)) + .put(SA0P03, Range.closed(SA0P01, SA0P06)) + .put(SA0P05, Range.closed(SA0P01, SA0P06)) + .put(SA0P075, Range.closed(SA0P06, SA0P08)) + .put(SA0P15, Range.closed(SA0P12, SA0P16)) + .put(SA0P75, Range.closed(SA0P6, SA0P8)) + .build()); + + // distance centering coefficients + private static final double C5 = -7.333; + private static final double C6 = 2.333; + // hinge function coefficients + private static final double C7 = -1.8; + private static final double C8 = 0.1; + private static final double DIST_HINGE_LOWER = 75.0; + private static final double DIST_HINGE_UPPER = 100.0; + + // convert log10 sigma to ln + private static final double SIGMA = 0.28 * BASE_10_TO_E; + + private static final class Coefficients { + + final Imt imt; + final double c1, c2, c3, c4; + + Coefficients(Imt imt, CoefficientContainer cc) { + this.imt = imt; + Map<String, Double> coeffs = cc.get(imt); + c1 = coeffs.get("c1"); + c2 = coeffs.get("c2"); + c3 = coeffs.get("c3"); + c4 = coeffs.get("c4"); + } + } + + private final Coefficients coeffs; + private final boolean interpolated; + private final GroundMotionModel interpolatedGmm; + + MotazedianAtkinson_2005(Imt imt) { + coeffs = new Coefficients(imt, COEFFS); + interpolated = INTERPOLATED_IMTS.containsKey(imt); + interpolatedGmm = interpolated + ? new InterpolatedGmm(Gmm.MA_05, imt, INTERPOLATED_IMTS.get(imt)) + : null; + } + + @Override + public Imt imt() { + return coeffs.imt; + } + + @Override + public LogicTree<GroundMotion> calc(GmmInput in) { + if (interpolated) { + return interpolatedGmm.calc(in); + } + return calc(coeffs, in); + } + + private static LogicTree<GroundMotion> calc( + Coefficients c, + GmmInput in) { + + double μ = calcMean(c, in.rRup, in.Mw); + return GroundMotions.createTree(μ, SIGMA); + } + + private static final double calcMean( + Coefficients c, + double rRup, + double Mw) { + + /* Eq. 6, log10(PSA) in cm/s/s */ + + double r = getR(rRup, Mw); + + double hingeFunction = getHingeFunction(r, Mw); + + double μ = c.c1 + c.c2 * (Mw - 6) + c.c3 * (Mw - 6) * (Mw - 6) + hingeFunction + c.c4 * r; + // convert from base 10 to base 2 and from cm/s/s to g + return μ * BASE_10_TO_E - LN_G_CM_TO_M; + } + + private static final double getR(double rRup, double Mw) { + // Equation and coefficients defined in Table 2 caption + double delta = C5 + C6 * Mw; + return sqrt(rRup * rRup + delta * delta); + } + + private static final double getHingeFunction(double dist, double Mw) { + // Equation and coefficients defined in Table 2 caption + double mFac = C7 + C8 * Mw; + if (dist <= DIST_HINGE_LOWER) { + // R <= 75 km + return mFac * log10(dist); + } else if (dist <= DIST_HINGE_UPPER) { + // 75 km < R <= 100 km + return mFac * log10(DIST_HINGE_LOWER); + } else { + // R >= 100 km + return mFac * log10(DIST_HINGE_LOWER) - 0.5 * log10(dist / DIST_HINGE_UPPER); + } + } + + /* + * USGS implementation that adds site scaling using BA08 model. + * + * MA05 supports a variety of non-MPRS spectral periods required for + * interpolation that are, in turn, not supported by BA08. We therefore + * interpolate site terms as needed for the six IMTs missing from BA08. + */ + static class Usgs extends MotazedianAtkinson_2005 { + + /* MA05 non-MPRS IMTs. */ + private static final Map<Imt, Range<Imt>> INTERPOLATED_SITE_IMTS = + new EnumMap<>(Map.of( + SA0P06, Range.closed(SA0P05, SA0P75), + SA0P08, Range.closed(SA0P75, SA1P0), + SA0P12, Range.closed(SA0P1, SA0P15), + SA0P16, Range.closed(SA0P15, SA0P2), + SA0P6, Range.closed(SA0P5, SA0P75), + SA0P8, Range.closed(SA0P75, SA1P0))); + + private final Coefficients coeffsPGA; + private final Optional<BooreAtkinson_2008> siteAmp; + + Usgs(Imt imt) { + super(imt); + coeffsPGA = new Coefficients(PGA, COEFFS); + siteAmp = BooreAtkinson_2008.COEFFS.imts().contains(imt) + ? Optional.of((BooreAtkinson_2008) BA_08_BASE.instance(imt)) + : Optional.empty(); + } + + @Override + public LogicTree<GroundMotion> calc(GmmInput in) { + double μ = calcMean(super.coeffs, in.rRup, in.Mw); + double μPga = calcMean(coeffsPGA, in.rRup, in.Mw); + double site = siteAmp.isPresent() + ? siteAmp.get().siteAmp(μPga, in.vs30) + : calcInterpolatedSite(super.coeffs.imt, μPga, in.vs30); + return GroundMotions.createTree(μ + site, SIGMA); + } + + private static double calcInterpolatedSite(Imt imt, double μPga, double vs30) { + Range<Imt> imts = INTERPOLATED_SITE_IMTS.get(imt); + Imt imtLo = imts.lowerEndpoint(); + Imt imtHi = imts.upperEndpoint(); + double tLo = imtLo.period(); + double tHi = imtHi.period(); + double tTarget = imt.period(); + BooreAtkinson_2008 ba08lo = (BooreAtkinson_2008) BA_08_BASE.instance(imtLo); + BooreAtkinson_2008 ba08hi = (BooreAtkinson_2008) BA_08_BASE.instance(imtHi); + double siteLo = ba08lo.siteAmp(μPga, vs30); + double siteHi = ba08hi.siteAmp(μPga, vs30); + return Interpolator.findY(tLo, siteLo, tHi, siteHi, tTarget); + } + } +} diff --git a/src/main/resources/gmm/coeffs/MotazedianAtkinson05_interp.csv b/src/main/resources/gmm/coeffs/MotazedianAtkinson05_interp.csv new file mode 100644 index 0000000000000000000000000000000000000000..8c97ab785dbaf49199b9464763a05fa647232f0d --- /dev/null +++ b/src/main/resources/gmm/coeffs/MotazedianAtkinson05_interp.csv @@ -0,0 +1,39 @@ +T, f, c1, c2, c3, c4 +10, 0.10, 1.62, 0.91212, -0.10486, -0.00092 +7.5, 0.13, 1.80, 0.90635, -0.11886, -0.00081 +#6, 0.16, 1.98, 0.89009, -0.13157, -0.00064 +5, 0.20, 2.16, 0.87177, -0.14444, -0.00052 +4, 0.25, 2.36, 0.84583, -0.15306, -0.00048 +3, 0.32, 2.55, 0.81112, -0.16625, -0.00044 +#2.5, 0.40, 2.74, 0.78035, -0.17792, -0.00050 +2, 0.50, 2.89, 0.73416, -0.17060, -0.00056 +1.5, 0.63, 3.04, 0.67664, -0.15973, -0.00061 +#1.25, 0.79, 3.20, 0.63441, -0.15706, -0.00080 +1, 1.00, 3.35, 0.56986, -0.14377, -0.00086 +0.8, 1.26, 3.47, 0.49700, -0.11945, -0.00105 +0.75, 0, 0, 0, 0, 0 +0.6, 1.59, 3.58, 0.47303, -0.11486, -0.00118 +0.5, 2.00, 3.68, 0.44246, -0.10831, -0.00126 +0.4, 2.51, 3.74, 0.40472, -0.08864, -0.00139 +0.3, 3.16, 3.83, 0.38087, -0.09045, -0.00159 +0.25, 3.98, 3.88, 0.35932, -0.07932, -0.00185 +0.2, 5.01, 3.94, 0.33077, -0.06816, -0.00204 +0.16, 6.31, 3.97, 0.33046, -0.07344, -0.00219 +0.15, 0, 0, 0, 0, 0 +0.12, 7.94, 3.98, 0.32515, -0.07216, -0.00234 +0.1, 10.00, 3.96, 0.32088, -0.06542, -0.00244 +0.08, 12.59, 3.94, 0.32165, -0.06523, -0.00253 +0.075, 0, 0, 0, 0, 0 +0.06, 15.85, 3.88, 0.33249, -0.06818, -0.00251 +0.05, 0, 0, 0, 0, 0 +0.03, 0, 0, 0, 0, 0 +0.02, 0, 0, 0, 0, 0 +0.01, 0.01, 3.60, 0.35181, -0.06926, -0.00201 +PGA, 0.00, 3.60, 0.35181, -0.06926, -0.00201 +PGV, -1.00, 2.35, 0.54828, -0.06350, -0.00107 +#0.8, 0, 0, 0, 0, 0x +#0.6, 0, 0, 0, 0, 0x +#0.16, 0, 0, 0, 0, 0x +#0.12, 0, 0, 0, 0, 0x +#0.08, 0, 0, 0, 0, 0x +#0.06, 0, 0, 0, 0, 0x diff --git a/src/test/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005_tests.java b/src/test/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005_tests.java new file mode 100644 index 0000000000000000000000000000000000000000..6d4c174bcd2b09bf6ffda798088bc42150c01c38 --- /dev/null +++ b/src/test/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005_tests.java @@ -0,0 +1,41 @@ +package gov.usgs.earthquake.nshmp.gmm; + +import static gov.usgs.earthquake.nshmp.gmm.Gmm.MA_05; + +import java.io.IOException; +import java.util.EnumSet; +import java.util.Set; +import java.util.stream.Stream; + +import org.junit.jupiter.api.extension.ExtensionContext; +import org.junit.jupiter.params.ParameterizedTest; +import org.junit.jupiter.params.provider.Arguments; +import org.junit.jupiter.params.provider.ArgumentsProvider; +import org.junit.jupiter.params.provider.ArgumentsSource; + +public class MotazedianAtkinson_2005_tests implements ArgumentsProvider { + + private static String GMM_INPUTS = "/gmm/motazedian-atkinson-2005-inputs.csv"; + private static String GMM_RESULTS = "/gmm/motazedian-atkinson-2005-results.csv"; + + @ParameterizedTest(name = "({index}) {0} {2} {1}") + @ArgumentsSource(MotazedianAtkinson_2005_tests.class) + void test(int index, Gmm gmm, Imt imt, double exMedian, double exSigma, String inputs) { + GmmTest.test(index, gmm, imt, exMedian, exSigma, inputs); + } + + @Override + public Stream<? extends Arguments> provideArguments(ExtensionContext context) throws Exception { + return GmmTest.loadResults(GMM_RESULTS, GMM_INPUTS); + } + + /* Result generation sets */ + private static Set<Gmm> gmms = EnumSet.of(MA_05); + + private static Set<Imt> imts = MotazedianAtkinson_2005.COEFFS.imts(); + + public static void main(String[] args) throws IOException { + GmmTest.generateResults(gmms, imts, GMM_INPUTS, GMM_RESULTS); + System.out.println("Done"); + } +} diff --git a/src/test/resources/gmm/motazedian-atkinson-2005-inputs.csv b/src/test/resources/gmm/motazedian-atkinson-2005-inputs.csv new file mode 100644 index 0000000000000000000000000000000000000000..08631badd122126c492ba484dc84e95159ef88fd --- /dev/null +++ b/src/test/resources/gmm/motazedian-atkinson-2005-inputs.csv @@ -0,0 +1,305 @@ +#Mw,rjB,rRup,rX,dip,width,zTor,zHyp,rake,vs30,z1p0,z2p5,zSed +5.0,0,2,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,3,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,4,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,5,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,6,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,8,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,10,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,15,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,20,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,30,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,40,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,50,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,60,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,80,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,100,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,150,0,90,5,1,1,1,760,NaN,NaN,NaN +5.0,0,200,0,90,5,1,1,1,760,NaN,NaN,NaN 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