Simulation of Multiple-Station Ground Motions Using Stochastic Point-Source Method with Spatial Coherency and Correlation Characteristics

Abstract Existing algorithms, including the stochastic point‐source method, used to simulate synthetic ground‐motion records are aimed at sampling records at a single station or records at multiple stations. The application of the algorithms may not adequately reproduce the observed coherency structure of the actual records and the intraevent spatial correlation characteristics of peak ground acceleration or spectral accelerations. To improve these, we suggest an extension to the stochastic point‐source method by introducing a target spatial coherency structure and the spatially correlated uncertainties in the Fourier amplitude spectrum for each recording station. The use of the extended model to simulate the multiple‐station records is illustrated, and the spatial correlation of the ground‐motion measures for the simulated records are compared with the empirical spatial correlation model derived based on the 1999 Chi‐Chi Taiwan earthquake.

[1]  Shawn Larsen,et al.  Calculation of broadband time histories of ground motion: Comparison of methods and validation using strong-ground motion from the 1994 Northridge earthquake , 1999, Bulletin of the Seismological Society of America.

[2]  Gail M. Atkinson,et al.  Stochastic Finite-Fault Modeling Based on a Dynamic Corner Frequency , 2005 .

[3]  Katsuichiro Goda,et al.  Estimation of Seismic Loss for Spatially Distributed Buildings , 2008 .

[4]  R. Harichandran.  Estimating the spatial variation of earthquake ground motion from dense array recordings , 1991 .

[5]  N. Abrahamson,et al.  Spatial coherency of shear waves from the Lotung, taiwan large-scale seismic test , 1991 .

[6]  Arthur Frankel,et al.  A Constant Stress-Drop Model for Producing Broadband Synthetic Seismograms: Comparison with the Next Generation Attenuation Relations , 2009 .

[7]  Aspasia Zerva,et al.  Spatial Variation of Seismic Ground Motions: Modeling and Engineering Applications , 2009 .

[8]  David M. Boore,et al.  Site amplifications for generic rock sites , 1997, Bulletin of the Seismological Society of America.

[9]  A. Kiureghian.  A COHERENCY MODEL FOR SPATIALLY VARYING GROUND MOTIONS , 1996 .

[10]  E. Vanmarcke,et al.  Stochastic Variation of Earthquake Ground Motion in Space and Time , 1986 .

[11]  Tsuyoshi Takada,et al.  Macrospatial Correlation Model of Seismic Ground Motions , 2005 .

[12]  W. B. Joyner,et al.  Methods for regression analysis of strong-motion data , 1993, Bulletin of the Seismological Society of America.

[13]  H. Hong,et al.  Spatial correlation of peak ground motions and response spectra , 2008 .

[14]  J. García-Pérez,et al.  Evolutionary properties of stochastic models of earthquake accelerograms: Their dependence on magnitude and distance , 2001 .

[15]  J. Penzien,et al.  Multiple-station ground motion processing and simulation based on smart-1 array data , 1989 .

[16]  Zafeiria Roumelioti,et al.  Stochastic Finite-Fault Modeling of Ground Motions from the 1999 Chi-Chi, Taiwan, Earthquake: Application to Rock and Soil Sites with Implications for Nonlinear Site Response , 2003 .

[17]  G. Atkinson,et al.  Intraevent Spatial Correlation of Ground-Motion Parameters Using SK-net Data , 2010 .

[18]  G. Atkinson,et al.  Modeling finite-fault radiation from the ωn spectrum , 1997, Bulletin of the Seismological Society of America.

[19]  Han Ping Hong,et al.  Effect of spatial correlation on estimated ground motion prediction equations , 2009 .

[20]  Friedemann Wenzel,et al.  Uncertainty and Spatial Correlation of Earthquake Ground Motion in Taiwan , 2010 .

[21]  A. M. Abdel-Ghaffar,et al.  Effects of ground motion spatial variability on the response of cable‐stayed bridges , 1992 .

[22]  Gail M. Atkinson,et al.  A guide to differences between stochastic point-source and stochastic finite-fault simulations , 2009 .

[23]  Gary C. Hart,et al.  Simulation of artificial earthquakes , 1973 .

[24]  Gail M. Atkinson,et al.  Intraevent Spatial Correlation Characteristics of Stochastic Finite-Fault Simulations , 2012 .

[25]  Katsuichiro Goda,et al.  Deaggregation of seismic loss of spatially distributed buildings , 2009 .

[26]  David M. Boore,et al.  Simulation of Ground Motion Using the Stochastic Method , 2003 .

[27]  G. N. Bycroft.  El Centro, California, differential ground motion array , 1980 .

[28]  David M. Boore,et al.  Estimated Ground Motion From the 1994 Northridge, California, Earthquake at the Site of the Interstate 10 and La Cienega Boulevard Bridge Collapse, West Los Angeles, California , 2003 .

[29]  J. Baker,et al.  Correlation model for spatially distributed ground‐motion intensities , 2009 .

[30]  D. Boore.  Comparing Stochastic Point-Source and Finite-Source Ground-Motion Simulations: SMSIM and EXSIM , 2009 .

[31]  Masanobu Shinozuka,et al.  ARMA Representation of Random Processes , 1985 .