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A Markov Chain Model for Subsurface Characterization: Theory and Applications
Authors:Amro Elfeki and Michel Dekking
Institution:(1) Thomas Stieltjes Institute for Mathematics and Faculty of ITS, Department of Probability, Statistics and Operation Research, Delft University of Technology, P. O. Box 5031, 2600GA Delft, The Netherlands
Abstract:This paper proposes an extension of a single coupled Markov chain model to characterize heterogeneity of geological formations, and to make conditioning on any number of well data possible. The methodology is based on the concept of conditioning a Markov chain on the future states. Because the conditioning is performed in an explicit way, the methodology is efficient in terms of computer time and storage. Applications to synthetic and field data show good results.
Keywords:Markov chains  geostatistics  geological heterogeneity  reservoir characterization  conditioning
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