Open-File Report 2015–1009
A ground-motion prediction equation (GMPE) for computing medians and standard deviations of peak ground acceleration and 5-percent damped pseudo spectral acceleration response ordinates of maximum horizontal component of randomly oriented ground motions was developed by Graizer and Kalkan (2007, 2009) to be used for seismic hazard analyses and engineering applications. This GMPE was derived from the greatly expanded Next Generation of Attenuation (NGA)-West1 database. In this study, Graizer and Kalkan’s GMPE is revised to include (1) an anelastic attenuation term as a function of quality factor (Q0) in order to capture regional differences in large-distance attenuation and (2) a new frequency-dependent sedimentary-basin scaling term as a function of depth to the 1.5-km/s shear-wave velocity isosurface to improve ground-motion predictions for sites on deep sedimentary basins. The new model (GK15), developed to be simple, is applicable to the western United States and other regions with shallow continental crust in active tectonic environments and may be used for earthquakes with moment magnitudes 5.0–8.0, distances 0–250 km, average shear-wave velocities 200–1,300 m/s, and spectral periods 0.01–5 s. Directivity effects are not explicitly modeled but are included through the variability of the data. Our aleatory variability model captures inter-event variability, which decreases with magnitude and increases with distance. The mixed-effects residuals analysis shows that the GK15 reveals no trend with respect to the independent parameters. The GK15 is a significant improvement over Graizer and Kalkan (2007, 2009), and provides a demonstrable, reliable description of ground-motion amplitudes recorded from shallow crustal earthquakes in active tectonic regions over a wide range of magnitudes, distances, and site conditions.
First posted February 5, 2015
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Graizer, V., and Kalkan, E., 2015, Update of the Graizer-Kalkan ground-motion prediction equations for shallow crustal continental earthquakes: U.S. Geological Survey Open-File Report 2015–1009, 79 p., https://dx.doi.org/10.3133/ofr20151009.
ISSN 2331-1258 (online)
Functional Form of Ground-Motion Prediction Equation
Mixed-Effects Residuals Analysis
Terms of Standard Deviation
Comparisons With Graizer-Kalkan 2007–2009 Models
Comparisons With NGA-West2 Models
Comparisons With Earthquake Data
Example Calculations Using MatLAB Codes
Range of Applicability
Data and Resources