TECHNICAL PAPERS
Feb 1, 1986

Stochastic Variation of Earthquake Ground Motion in Space and Time

Publication: Journal of Engineering Mechanics
Volume 112, Issue 2

Abstract

Consideration of the spatial as well as temporal variation of earthquake ground motions may be important in the design of structures with spatially extended foundations and lifeline systems. In this paper, the ground motion during a specific earthquake event is conceived as the realization of a space‐time random field. Following a brief review of pertinent results from the second‐order theory of random fields and a description of spectral estimators, accelerograms recorded by the SMART 1 seismograph array in Lotung, Taiwan, are examined to determine the frequency‐dependent spatial correlation of earthquake ground motions. A scheme for processing seismograph array data is proposed, and similarities and differences in the motions recorded during different events are noted. Finally, key parameters characterizing the correlation structures are identified and a preliminary mathematical model is suggested for the space‐time correlations.

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References

1.
Aki, K., and Tsujiura, M., “Correlational Study of Near Earthquake Waves,” Bulletin of the Earthquake Research Institute, Vol. 37, 1959, pp. 207–232.
2.
Bolt, B. A., et al., “Preliminary Report on the SMART 1 Strong Motion Array in Taiwan,” Technical Report UCB/EERC‐82/13, Earthquake Engineering Research Center, Univ. of California, Berkeley, CA, Aug., 1982.
3.
Bolt, B. A., et al., “Earthquake Strong Motions Recorded by a Large Near‐Source Array of Digital Seismographs,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 561–573.
4.
Childers, D. G., Ed., Modem Spectral Analysis, IEEE Press, 1978.
5.
Harichandran, R. S., “Space‐Time Variation of Earthquake Ground Motion,” thesis presented to the Massachusetts Institute of Technology, at Cambridge, MA, in 1985, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Iwan, W. D., “The Deployment of Strong Motion Earthquake Instrument Arrays,” Earthquake Engineering and Structural Dynamics, Vol. 7, 1979, No. 5, pp. 413–426.
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Jenkins, G. M., and Watts, D. G., Spectral Analysis and its Applications, Holden‐Day, 1969.
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Loh, C. H., Penzien, J., and Tsai, Y. B., “Engineering Analysis of the SMART 1 Array Accelerograms,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 575–591.
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Priestley, M. B., Spectral Analysis and Time Series, Academic Press, New York, NY, 1981.
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Vanmarcke, E., Random Fields: Analysis and Synthesis, MIT Press, Cambridge, MA, 1983.
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Vanmarcke, E., and Harichandran, R. S., “Models of the Spatial Variation of Ground Motion for Seismic Analysis of Structures,” Proceedings of the Eighth World Conference on Earthquake Engineering, San Francisco, CA, July, 1984, pp. 597–604.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 2February 1986
Pages: 154 - 174

History

Published online: Feb 1, 1986
Published in print: Feb 1986

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Authors

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Ronald S. Harichandran
Asst. Prof., Dept. of Civ. and Environmental Engrg., Michigan State Univ., East Lansing, MI 48824; formerly Research Asst., MIT, Cambridge, MA
Erik H. Vanmarcke, M. ASCE
Prof., Dept. of Civ. Engrg., MIT, Cambridge, MA 02139

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