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..b462d398d6d548fcb8f40ec7cef0a97422707f1a 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 +53,12 @@ public enum Gmm {
* argument.
*/
+ MA_05(
+ MotazedianAtkinson_2005.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..f61aaa30b4259f8d4e98760a8e1b4cbed1def26d
--- /dev/null
+++ b/src/main/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005.java
@@ -0,0 +1,175 @@
+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.GmmInput.Field.ZTOR;
+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.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.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.SA0P6;
+import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P75;
+import static gov.usgs.earthquake.nshmp.gmm.Imt.SA0P8;
+import static java.lang.Math.log10;
+import static java.lang.Math.sqrt;
+
+import java.util.Map;
+
+import com.google.common.collect.ImmutableMap;
+import com.google.common.collect.Maps;
+import com.google.common.collect.Range;
+
+import gov.usgs.earthquake.nshmp.Earthquakes;
+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>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>
+ *
+ * <p><b>Component:</b> Geometric mean of two horizontal components
+ *
+ * @author U.S. Geological Survey
+ * @see Gmm#GEOMATRIX_93_INTERFACE
+ * @see Gmm#GEOMATRIX_93_SLAB
+ */
+public class MotazedianAtkinson_2005 implements GroundMotionModel {
+
+ static final String NAME = "Motazedian & Atkinson (2005)";
+
+ static final Constraints CONSTRAINTS = Constraints.builder()
+ .set(MW, Range.closed(5.0, 9.5))
+ .set(RRUP, Range.closed(0.0, 1000.0))
+ .set(ZTOR, Earthquakes.SLAB_DEPTH_RANGE)
+ .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.
+ */
+ static final CoefficientContainer COEFFS = new CoefficientContainer("MotazedianAtkinson05.csv");
+
+ /*
+ * Interpolated IMTs added for MPRS Imts for which there are not published
+ * coefficients.
+ */
+ 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.WONG_15, imt, INTERPOLATED_IMTS.get(imt))
+ : null;
+ }
+
+ @Override
+ public Imt imt() {
+ return coeffs.imt;
+ }
+
+ @Override
+ public final LogicTree<GroundMotion> calc(GmmInput in) {
+ if (interpolated) {
+ return interpolatedGmm.calc(in);
+ }
+
+ double μ = calcMean(coeffs, in);
+ double σ = SIGMA;
+ return GroundMotions.createTree(μ, σ);
+ }
+
+ private static final double calcMean(
+ Coefficients c,
+ GmmInput in) {
+ /* Eq. 6, log10(PSA) in cm/s/s */
+
+ double r = getR(in.rRup, in.Mw);
+
+ double hingeFunction = getHingeFunction(r, in.Mw);
+
+ double μ =
+ c.c1 + c.c2 * (in.Mw - 6) + c.c3 * (in.Mw - 6) * (in.Mw - 6) + hingeFunction + c.c4 * r;
+ // convert from base 10 to base 3 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;
+ return (dist <= DIST_HINGE_LOWER) ? mFac * log10(dist)
+ : (dist <= DIST_HINGE_UPPER) ? mFac * log10(DIST_HINGE_LOWER)
+ : mFac * log10(DIST_HINGE_LOWER) - 0.5 * log10(dist / DIST_HINGE_UPPER);
+ }
+
+}
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..b56891beb45709660d35d9426f4289313aa991c2
--- /dev/null
+++ b/src/test/java/gov/usgs/earthquake/nshmp/gmm/MotazedianAtkinson_2005_tests.java
@@ -0,0 +1,42 @@
+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..1ccd66d11d26fabf30888a62f2eb8e8937a2045b
--- /dev/null
+++ b/src/test/resources/gmm/motazedian-atkinson-2005-inputs.csv
@@ -0,0 +1,241 @@
+#Mw,rjB,rRup,rX,dip,width,zTor,zHyp,rake,vs30,z1p0,z2p5,zSed
+4.0,0,5,0,90,5,1,1,1,150,NaN,NaN,NaN
+4.0,0,5,0,90,5,1,1,1,250,NaN,NaN,NaN
+4.0,0,5,0,90,5,1,1,1,450,NaN,NaN,NaN
+4.0,0,5,0,90,5,1,1,1,760,NaN,NaN,NaN
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+4.0,0,15,0,90,5,1,1,1,150,NaN,NaN,NaN
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+4.0,0,20,0,90,5,1,1,1,150,NaN,NaN,NaN
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+4.8,0,60,0,90,5,1,1,1,250,NaN,NaN,NaN
+4.8,0,60,0,90,5,1,1,1,450,NaN,NaN,NaN
+4.8,0,60,0,90,5,1,1,1,760,NaN,NaN,NaN
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+4.8,0,80,0,90,5,1,1,1,250,NaN,NaN,NaN
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diff --git a/src/test/resources/gmm/motazedian-atkinson-2005-results.csv b/src/test/resources/gmm/motazedian-atkinson-2005-results.csv
new file mode 100644
index 0000000000000000000000000000000000000000..b248eab449cafa5afe67298a0e5036b448b3bd37
--- /dev/null
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