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On the Reconstruction of Random Media using Monte Carlo Methods

C. Manwart·R. Hilfer
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Abstract

A simulated annealing algorithm is applied to the reconstruction of two-dimensional porous media with prescribed correlation functions. The experimental correlation function of an isotropic sample of Fontainebleau sandstone and a synthetic correlation function with damped oscillations are used in the reconstructions. To reduce the numerical effort we follow a proposal suggesting to evaluate the correlation functions only along certain directions. The results show, that this simplification yields significantly different micro-structures as compared to a full evaluation of the correlation function. In particular we find that the simplified reconstruction method introduces an artificial anisotropy that is originally not present.

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C. Manwart, R. Hilfer. 1999-02-08. On the Reconstruction of Random Media using Monte Carlo Methods. https://doi.org/10.1103/physreve.59.5596

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