On the Reconstruction of Random Media using Monte Carlo Methods

Details On the Reconstruction of Random Media using Monte Carlo Methods On the Reconstruction of Random Media using Monte Carlo Methods

1999-02-08

arxiv.org/abs/cond-mat/9902096v1

Physics

Condensed Matter

Materials Science

13 pages, including 7 postscript figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.59.5596

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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