Journal
COMPUTERS & GEOSCIENCES
Volume 32, Issue 10, Pages 1629-1645Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cageo.2006.03.002
Keywords
geostatistical simulation; plurigaussian simulation; spatial facieses simulation; spatial modelling; multivariate correlation; contact relations; dynamic contact matrix; recursive integration
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The current forms of plurigaussian simulation have serious limitations for applications to large numbers of geological facies, or units, which have complex contact relations. In this paper the authors present a true plurigaussian simulation (PGS) method, which can be applied in a simple way to any number of geological facies by using any number of Gaussians. A recursive technique is used for multi-dimensional integration of the Gaussian functions, which forms the major part of the PGS computation. A binary, dynamic contact matrix (DCM) is used to specify the contact relations among the facies; this method has proved to be simple, flexible and capable of dealing with general, complex contact relations. A method for incorporating into PGS multivariate correlations among any number of random variables is also included. A simulated example is used to demonstrate the application of the generalised PGS. This example shows that PGS is more robust to under-sampling than traditional direct indicator simulation. (c) 2006 Elsevier Ltd. All rights reserved.
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