Conditional simulation of intrinsic random functions of order k |
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| Authors: | Roussos Dimitrakopoulos |
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| Institution: | (1) Département de Génie Minéral, École Polytechnique, Succursale  A, , C.P. 6079, H3C 3A7 Montréal, Québec, Canada;(2) Present address: Department of Mining and Metallurgical Engineering, McGill University, 3480 University Str., H3A 2A7 Montréal, P.Q., Canada |
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| Abstract: | Conditional simulation of intrinsic random functions of orderk is a stochastic method that generates realizations which mimic the spatial fluctuation of nonstationary phenomena, reproduce their generalized covariance and honor the available data at sampled locations. The technique proposed here requires the following steps: (i) on-line simulation of Wiener-Levy processes and of their integrations; (ii) use of the turning-bands method to generate realizations in Rn; (iii) conditioning to available data; and (iv) verification of the reproduced generalized covariance using generalized variograms. The applicational aspects of the technique are demonstrated in two and three dimensions. Examples include the conditional simulation of geological variates of the Crystal Viking petroleum reservoir, Alberta, Canada. |
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| Keywords: | Geostatistics nonstationary phenomenon Wiener-Levy process stochastic simulation generalized covariance generalized variogram |
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