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A flexible true plurigaussian code for spatial facies simulations
Authors:Chaoshui Xu  Peter Alan Dowd  Kanti V Mardia  Robert J Fowell
Institution:aDepartment of Mining and Mineral Engineering, University of Leeds, Leeds, LS2 9JT, UK;bFaculty of Engineering, Computer and Mathematical Sciences, University of Adelaide, SA 5005, Australia;cDepartment of Statistics, University of Leeds, Leeds, LS2 9JT, UK
Abstract: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.
Keywords:Geostatistical simulation  Plurigaussian simulation  Spatial facieses simulation  Spatial modelling  Multivariate correlation  Contact relations  Dynamic contact matrix  Recursive integration
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