Conditional Simulation of Spatially Correlated Earthquake Ground Motion
Publication: Journal of Engineering Mechanics
Volume 119, Issue 11
Abstract
Methodology is presented for simulating properly correlated earthquake ground motions at an arbitrary set of closely spaced points, compatible with known or prescribed motions at other locations. The input consists of the spectral density function and frequency‐dependent spatial correlation function in several nonoverlapping ground‐motion segments. Linear‐prediction estimators are used to generate a set of statistically independent, frequency‐specific, spatial random processes, based on which ground motions are composed by means of a fast‐Fourier‐transform algorithm. The method's advantage over existing linear‐estimation techniques, known as kriging, is that it correctly reproduces the specified space‐time correlation structure of the ground motion. Examples are given to illustrate the features of the simulation methodology; in particular, response spectra and dynamic response ratios are compared for recorded and simulated motions at the site of the SMART 1 strong‐motion accelerograph array.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abrahamson, N., and Bolt, B. (1985). “The spatial variation of the phasing of seismic strong ground motion.” BSSA, 75(5), 1247–1264.
2.
Abrahamson, N., et al. (1987). “The SMART 1 accelerograph array (1980–1987): A review.” Earthquake Spectra, 3(2), 267–287.
3.
Boissieres, H. P. (1992). “Estimation of the correlation structure of random fields,” PhD thesis, Princeton University, Princeton, N.J.
4.
Harichandran, R., and Vanmarcke, E. (1986). “Stochastic variation of earthquake ground motion in space and time.” J. Engrg. Mech., ASCE, 112(2), 154–174.
5.
Heredia‐Zavoni, E. (1993). “Structural response to spatially varying earthquake ground motion,” PhD dissertation, Princeton University, Princeton, N.J.
6.
Journel, A., and Huijbregts, C. H. (1978). Mining geostatistics. Academic Press, London, England.
7.
Loh, C., Penzien, J., and Tsai, Y. (1982). “Engineering analysis of SMART 1 array accelerograms.” Earthquake Engrg. Struct. Dyn., 10(2), 575–591.
8.
Matheron, G. (1967). “Kriging or polynomial interpolation procedures.” Can. Inst. of Mining Bull., 60(4), 1041–1053.
9.
Priestley, M. B. (1981). Spectral analysis and time series, Academic Press, New York, N.Y.
10.
Vanmarcke, E. (1983). Random fields: analysis and synthesis. The MIT Press, Cambridge, Mass.
11.
Vanmarcke, E., and Fenton, G. (1989). “Application of kriging techniques to earthquake ground motion simulation.” Proc. 4th Int. Conf. on Soil Dyn. and Earthquake Engrg., A. Cakmak and I. Herrera, eds., Computational Mechanics, 247–263.
12.
Vanmarcke, E., and Fenton, G. (1991). “Conditioned simulation of local fields of earthquake ground motion.” Struct. Safety, 10(1–3), 247–264.
13.
Watson, G. S. (1970). “Trend surface analysis.” Technical Report No. 143, Dept. of Statistics, John Hopkins Univ., Baltimore, Md.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 11 • November 1993
Pages: 2333 - 2352
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jul 6, 1992
Published online: Nov 1, 1993
Published in print: Nov 1993
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.