Abstract
Sequential Indicator Simulation (SIS), although widely used, is relatively slow, and requires tedious inference of a large number of indicator variogram models. SIS is designed only to estimate class proportions and to reproduce indicator variogram models; the statistics of the continuous attribute being simulated,z-histogram and variogram, may be poorly reproduced. Several implementations of the SIS algorithm are proposed resulting in better reproduction of statistics yet with better CPU performance.
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References
Albert, F., 1987, Stochastic imaging of spatial distributions using hard and soft information: unpubl. masters thesis, Stanford Univ., 169 p.
Deutsch, C. V., 1992, Annealing techniques applied to reservoir modelling and the integration of geological and engineering (well test) data: unpubl. doctoral dissertation. Stanford Univ., 306 p.
Deutsch, C. V., and Journel, A. G., 1992, GSLIB: Geostatistical Software Library and user's guide: Oxford Univ. Press, Oxford, 340 p.
Geman, S., and Geman, D., 1984, Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images: IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-. v. 6, no. 6. p. 721–724.
Giordano, R., Salter, S., and Mohanty, K., 1985. The effects of permeability variations on flow in porous media: SPE Paper Number 14365, preprint.
Gomez-Hernańdez, J., 1990, A stochastic approach to the simulation of block conductivity fields conditioned upon data measured at a smaller scale: unpubl. doctoral disseration, Stanford Univ., 351 p.
Johnson, M., 1987, Multivariate statistical simulation: John Wiley & Sons, New York, 230 p.
Journel, A. G., 1989, Fundamentals of geostatistics in five lessons: Intern. Geol. Congress (Washington, D.C.), Short Course in Geology, v. 8, Am. Geophys. Union. 40 p.
Journel, A. G., 1993, Geostatistics: roadblocks and challenges,in Soares, A., ed., Geostatistics Troia 1992: Kluwer Acad. Publ., Dordrecht, The Netherlands, p. 213–224.
Journel, A. G., and F. Alabert, 1989. Non-gaussian data expansion in the earth sciences: Terra Nova, v. 1, no. 2, p. 123–134.
Press, W. H., Flannery, B., Teukolsky, S., and Vetterling, W., 1986, Numerical recipes: Cambridge Univ. Press, New York, 994 p.
Ripley, B. D., 1987, Stochastic simulation: John Wiley & Sons, New York, 237 p.
Srivastava, R., 1992, Iterative methods for spatial simulation: Stanford Center for Reservoir Forecasting, Rept. 5, 24 p.
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Chu, J. Fast sequential indicator simulation: Beyond reproduction of indicator variograms. Math Geol 28, 923–936 (1996). https://doi.org/10.1007/BF02066009
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DOI: https://doi.org/10.1007/BF02066009