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Bulletin of the Seismological Society of America; April 2005; v. 95; no. 2; p. 614-645; DOI: 10.1785/0120040136
© 2005 Seismological Society of America
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Calculation of Broadband Time Histories of Ground Motion, Part II: Kinematic and Dynamic Modeling Using Theoretical Green’s Functions and Comparison with the 1994 Northridge Earthquake

Stephen Hartzell1, Mariagiovanna Guatteri2, P. Martin Mai3, Peng-Cheng Liu4 and Mark Fisk5

1 U.S. Geological Survey
Denver Federal Center
Box 25046 MS 966
Denver, Colorado 80225
 (S.H.)

2 Swiss Reinsurance America
175 King Street
Armonk, New York 10504
 (M.G.)

3 Institute of Geophysics
ETH Hoenggerberg, HPP P7.1
Zurich, CH-8093, Switzerland
 (P.M.M.)

4 Institute for Crustal Studies
University of California, Santa Barbara
Santa Barbara, California 93106
 (P.-C.L.)

5 ATK Mission Research
8560 Cinderbed Road, Suite 700
Newington, Virginia 22122
 (M.F.)

In the evolution of methods for calculating synthetic time histories of ground motion for postulated earthquakes, kinematic source models have dominated to date because of their ease of application. Dynamic models, however, which incorporate a physical relationship between important faulting parameters of stress drop, slip, rupture velocity, and rise time, are becoming more accessible. This article compares a class of kinematic models based on the summation of a fractal distribution of subevent sizes with a dynamic model based on the slip-weakening friction law. Kinematic modeling is done for the frequency band 0.2 to 10.0. Hz, dynamic models are calculated from 0.2 to 2.0. Hz. The strong motion data set for the 1994 Northridge earthquake is used to evaluate and compare the synthetic time histories. Source models are propagated to the far field by convolution with 1D and 3D theoretical Green’s functions. In addition, the kinematic model is used to evaluate the importance of propagation path effects: velocity structure, scattering, and nonlinearity. At present, the kinematic model gives a better broadband fit to the Northridge ground motion than the simple slip-weakening dynamic model. In general, the dynamic model overpredicts rise times and produces insufficient shorter-period energy. Within the context of the slip-weakening model, the Northridge ground motion requires a short slip-weakening distance, on the order of 0.15 m or less. A more complex dynamic model including rate weakening or one that allows shorter rise times near the hypocenter may fit the data better.




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