Abstract
Many applications are multivariate in character and call for stochastic images of the joint spatial variability of multiple variables conditioned by a prior model of covariances and cross- covariances. This paper presents an algorithm to perform cosimulation of such spatially intercorrelated variables. This new algorithm builds on a Markov-type hypothesis whereby collocated information screens further away data of the same type, allowing cosimulation without the burden of a full cokriging. The proposed algorithm is checked against a synthetic multi-Gaussian reference dataset, then against a multi-Gaussian cosimulation approach using full cokriging. The results indicate that the proposed algorithm perform as well as the full cokriging approach in reproducing the univariate and bivariate statistics of the reference set, yet at less cpu cost.
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References
Anderson, T. W. 1958,An Introduction to Multivariate Statistical Analysis: Wiley, New York, 374 p.
Carr, J. R., and Myers, D. E., 1985, A FORTRAN IV Program for Co-conditional Simulation:Comp. Geosci., v. 11, n. 6, p. 675–705.
Chu, J., 1992, XGAM User's Manual: Report 6 of the Stanford Center for Reservoir Forecasting.
Deutsch, C. V., and Journel, A., 1992,GSLIB: Geostatistical Software Library and User's Guide: Oxford University Press, 340 p.
Gomez-Hernandez, J. J., and Journel, A. G., 1992, Joint Sequential Simulation of Multigaussian Fields, in Amilcar Soares (Ed.),Geostatistics Troia 1992: Kluwer Academic Publ., Dordrecht, Holland, p. 85–94.
Isaaks, E., 1990, The Application of Monte Carlo Methods to the Analysis of Spatial Correlated Data: PhD thesis, Stanford University, CA.
Journel, A., 1989,Fundamentals of Geostatistics in Five Lessons. Volume 8, Short Course in Geology: American Geophysical Union Press, Washington, D.C., 40 p.
Journel, A., and Huijbregts, C. J.,Mining Geostatistics: Academic Press, New York, 600 p.
Luster, G. R., 1985, Raw Material for Portland Cement: Application of Conditional Simulation of Coregionalization: PhD thesis, Stanford University, CA.
Myers, D. E., 1989, Vector Conditional Simulation,in M. Armstrong (Ed.),Geostatistics: D. Reidel Publ., Dordrecht, Holland, p. 283–293.
Suro-Perez, V., and Journel, A., 1991, Indicator Principal Component Kriging: Math. Geol., v. 23, n. 5, p. 759–788.
Verly, G., 1992, Sequential Gaussian Cosimulation: A Simulation Method Integrating Several Types of Information,in Amilcar Soares (Ed.),Geostatistics Troia 1992: Kluwer Academic Publishers, Dordrecht, Holland, p. 85–94.
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Almeida, A.S., Journel, A.G. Joint simulation of multiple variables with a Markov-type coregionalization model. Math Geol 26, 565–588 (1994). https://doi.org/10.1007/BF02089242
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DOI: https://doi.org/10.1007/BF02089242