Statistical estimation of maximum peak ground acceleration at a given point of a seismic region
Tóm tắt
A straightforward procedure is suggested for statistical estimation of maximum peak ground acceleration, Amax (T), that will occur at a given point of a seismic region in future time period T. This procedure is based on the Bayesian approach and includes estimation of three unknown parameters;b, the slope of acceleration-frequency law; α, the maximum regression acceleration; λ, the rate of significant accelerations at the point under question. Uncertainty characteristics of Amax (T)-estimates as well as of all estimated parameters are given. The suggested approach is illustrated for two sites in Southern California.
Tài liệu tham khảo
Algermissen, S. T. and Perkins, D. M., 1976, A probabilistic estimate of maximum acceleration in rock in the contiguous United States. Open file report 76- 416, U.S. Department of the Interior, Geological Survey.
Aptikaev, F. F., 1983, Prediction of strong motions parameters for large earthquakes. Report. Inst. of Physics of the Earth, Ac. Sci. USSR, Moscow (in Russian).
Benjamin, J. R. and Cornell, C. A., 1970, Probability, Statistics and Decision for Civil Engineers, McGraw-Hill, New York.
Cornell, C. A., 1968, Engineering seismic risk analysis, Bull. Seism. Soc. Am. 58, 1583–1606.
Efron, B. and Tibshirani, R., 1986, Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy, Statistical Science 1, 54–77.
Gardner, J. K. and Knopoff, L., 1974, Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian? Bull. Seism. Soc. Am. 64, 1363–1367.
Gusev, A. A., 1989, Multiasperity fault model and the nature of short-period subsources, Pure Appl. Geoph. 130, 635–660.
Joyner, W. and Boore, D., 1981, Peak horizontal acceleration and velocity from strong-motion records including records from the 1979 Imperial Valley, California, Earthquake, Bull. Seism. Soc. Am. 71, 2011–2038.
Joyner, W. and Boore, D., 1988, Measurement, characterization and prediction of strong ground motions. In Von Thun, J. L. (ed.), Proc. Conf. Earthquake Engineering and Soil Dynamics II —Recent Advances in Ground-Motion Evaluation. Park City, Utah, ASCE Geotechnical Special Publication No. 20, pp. 43–102.
Kantorovich, L. V., Keilis-Borok, V. I. and Molchan, G. M., 1973, Seismic risk and principles of seismic zoning, Computational Seismology 6, Moscow, Nauka, 3–20 (in Russian).
Kendall, M. and Stuart, A., 1961, The Advanced Theory of Statistics, Vol. 2, Inference and Relationship, Griffin, London.
Kijko, A. and Sellevoll, M. A., 1989, Estimation of earthquake hazard parameters from incomplete data files. Part I. Utilization of extreme and complete catalogs with different threshold magnitudes, Bull. Seism. Soc. Am. 79, 645–654.
Kijko, A. and Sellevoll, M. A., 1992, Estimation of earthquake hazard parameters from incomplete data files. Part II. Incorporation of magnitude heterogeneity, Bull. Seism. Soc. Am. 82, 120–134.
Kulhanek, O. and Bath, M., 1978, Seismic risk and earthquake insurance in South and Central America, Geol. Mijnbouw 57, 251–253.
Lamarre, M., Townshend, B. and Shah, H. C., 1992, Application of the bootstrap method to qualify uncertainty in seismic hazard estimates, Bull. Seism. Soc. Am. 82, 104–119.
McGuire, R. K., 1977, Effects of uncertainty in seismicity on estimates of seismic hazard for the east coast of the United States, Bull. Seism. Soc. Am. 67, 827–848.
Mortgat, C. P. and Shah, H. C., 1979, A Bayesian model for seismic hazard mapping, Bull. Seism. Soc. Am. 69, 1237–1251.
Pisarenko, V. F., Lyubushin, A. A., Lysenko, V. B. and Golubeva, T. V., 1996, Statistical Estimation of Seismic Hazard Parameters: Maximum Possible Magnitude and Related Parameters, Bull. Seism. Soc. Am. 86, 560–571.
Rao, C. R., 1965, Linear Statistical Inference and its Application, John Wiley, New York.
Schnabel, P. B. and Seed, H. B., 1973, Accelerations in rock for earthquakes in the Western United States, Bull. Seism. Soc. Am. 63, 501–516.
Steinberg, V. V., Saks, M. V., Aptikaev, F. F. et al., 1993, Methods of seismic ground motion estimation (Handbook), in Voprosy Inzhenernoi seismologii Iss. 34, Moscow, Nauka, 5–97 (in Russian).