Abstract
For earthquake ground motion studies, the actual ground motion distribution should be reproduced as accurately as possible. For optimal estimation of ground motion, kriging has been shown to provide accurate estimates. Although kriging is accurate for this application, some estimates it provides are underestimates. This has dire consequences for subsequent design for earthquake resistance. Kriging does not provide enough information to allow an analysis of each estimate for underestimation. For such an application, disjunctive kriging is better applied. This advanced technique quantifies the probability that an estimate equals or exceeds particular levels of ground motion. Furthermore, disjunctive kriging can provide improved estimation accuracy when applied for local estimation of ground motion.
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References
Carr, J. R., 1983, Application of the theory of regionalized variables to earthquake parametric estimation and simulation: unpublished doctoral dissertation, Department of Mining and Geological Engineering, University of Arizona, 259 p.
Carr, J. R. and C. E. Glass, 1985, Treatment of earthquake ground motion using regionalized variables: Math. Geol., v. 17, no. 3, p. 221–241.
Journel, A. G. and Ch. J. Huijbregts, 1978, Mining geostatistics: Academic Press, London, 600 pp.
Marechal, A., 1976, The practice of transfer functions: numerical methods and their applications,in, Guarascio, M., David, M., and Huijbregts, C. J. (Eds.), Advanced geostatistics in the mining industry: Proceedings of the NATO Advanced Study Institute: D. Reidel Publishing Co., Dordrecht, Netherlands, p. 253–276.
Matheron, G., 1976a, A simple substitute for conditional expectation: the disjunctive kriging,in, Guarascio, M., David, M., and Huijbregts, C. J. (Eds.), Advanced geostatistics in the mining industry: Proceedings of the NATO Advanced Study Institute: D. Reidel Publishing Co., Dordrecht, Netherlands, p. 221–236.
Matheron, G., 1976b, Forecasting block grade distributions: the transfer functions,in Guarascio, M., David, M., and Huijbregts, C. J. (Eds.), Advanced geostatistics in the mining industry: Proceedings of the NATO Advanced Study Institute: D. Reidel Publishing Co., Dordrecht, Netherlands, p. 237–251.
Sbar, M. L. and S. M. Dubois, 1984, Attenuation of intensity for the 1887 Northern Sonora, Mexico, earthquake: Bull. Seismol. Soc. Amer., v. 74, p. 2613–2628.
Trifunac, M. D., A. G. Brady, and D. E. Hudson, 1973, Analyses of strong motion earthquake accelerograms, v. III, parts C-S: California Institute of Technology, prepared for the National Science Foundation, distributed by the National Technical Information Service, U. S. Department of Commerce.
“United States Earthquakes,” published annually by the U.S. Department of Commerce, Coast and Geodetic Survey from 1928 to 1968, the NOAA National Ocean Survey in 1969, the NOAA Environmental Data Service from 1970 to 1972, and jointly by the NOAA Environmental Data and Information Service and the U.S. Geological Survey thereafter.
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Carr, J.R., Deng, E.D. & Glass, C.E. An application of disjunctive kriging for earthquake ground motion estimation. Math Geol 18, 197–213 (1986). https://doi.org/10.1007/BF00898283
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DOI: https://doi.org/10.1007/BF00898283