Earthquake Ground Motion Modeling. II: Stochastic Line Source
Publication: Journal of Engineering Mechanics
Volume 117, Issue 9
Abstract
The pulse shape function obtained in a companion paper is incorporated in the development of a stochastic earthquake model. It is assumed that seismic ground motion is caused by shear dislocation that propagates along a line. This line source is further discretized into point sources at equal intervals. The times at which seismic signals are activated are assumed to be Poisson events with a time‐varying average occurrence rate per unit time. This is equivalent to assuming an average speed for the propagation of shear dislocation. The strengths of seismic signals emitted from discretized point sources are assumed to be independent and identically distributed random variables. A generalized version of the random‐pulse‐train theory is used to compute the mean and auto‐correlation functions of the ground motion at one site, and the cross‐correlation function at two sites. The auto‐correlation and cross‐correlation functions can then be converted to the evolutionary spectral density and evolutionary cross‐spectral density of the ground motion, which are required in the computation of structural response. The new earthquake model is capable of capturing both the geophysical and stochastic features of many past earthquake records.
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References
1.
Burridge, R., and Knopoff, L. (1964). “Body force equivalents for seismic dislocations.” Bull. Seism. Soc. Am., 54, 1875–1888.
2.
Cornell, C. A. (1964). “Stochastic process models in structural engineering.” Stanford Univ. Civil Engrg. Dept. Tech. Report 34, Stanford Univ., Stanford, Calif.
3.
Deodatis, G., Shinozuka, M., and Papageorgiou, A. (1990a). “Stochastic wave representation of seismic ground motion. I: F‐K spectra.” J. Engrg. Mech., ASCE, 116(11), 2363–2379.
4.
Deodatis, G., Shinozuka, M., and Papageorgiou, A. (1990b). “Stochastic wave representation of seismic ground motion. II: Simulation.” J. Engrg. Mech., ASCE, 116(11), 2381–2399.
5.
Kanamori, H. (1979). “Semi‐empirical approach to prediction of long‐period ground motions from great earthquakes.” Bull. Seism. Soc. Am., 69(6), 1645–1670.
6.
Kanamori, H., and Gordon, S. S. (1978). “Seismological aspects of the Guatemala earthquake of February 4, 1976.” J. Geophys. Res., 83(B7), 3427–3434.
7.
Lin, Y. K. (1963). “Application of nonstationary shot noise in the study of system response to a class of nonstationary excitations.” J. Appl. Mech., 30(4), 555–558.
8.
Lin, Y. K. (1967). Probabilistic theory of structural dynamics. McGraw‐Hill Book Co., Inc., New York, N.Y. (reprinted by Rrieger Publishing Co., Malabar, Fla., 1976).
9.
Lin, Y. K. (1986). “On random pulse train and its evolutionary spectral representation.” Probabilistic Engrg. Mech., 1(4), 219–223.
10.
Lin, Y. K., and Yong, Y. (1987). “Evolutionary Kanai‐Tajimi earthquake models.” J. Engrg. Mech., ASCE, 113(8), 1119–1137.
11.
Priestley, M. B. (1965). “Evolutionary spectral and nonstationary process.” J. Royal Statist. Soc., B27, 204–228.
12.
Shinozuka, M., and Deodatis, G. (1988). “Stochastic process models for earthquake ground motion.” Probabilistic Engrg. Mech., 3(3), 114–123.
13.
Stratonovich, R. L. (1963). Topics in the theory of random noise. R. A. Silverman, trans., Gordon and Breach, Science Publishers, New York, N.Y.
14.
Yong, Y. (1987). “Stochastic earthquake modeling and dynamic response analysis,” thesis presented to the University of Illinois, at Urbana, Ill., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Zerva, A. (1988). “Seismic source mechanisms and ground motion models.” Probabilistic Engrg. Mech., 3(2), 64–74.
16.
Zhang, R., Yong, Y., and Lin, Y. K. (1991). “Earthquake ground motion modeling. I: Deterministic point source.” J. Engrg. Mech., ASCE, 117(9), 2114–2132.
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Copyright © 1991 ASCE.
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Published online: Sep 1, 1991
Published in print: Sep 1991
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