On the Reconstruction of Random Media using Monte Carlo Methods
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.
Cite
@article{arxiv.cond-mat/9902096,
title = {On the Reconstruction of Random Media using Monte Carlo Methods},
author = {C. Manwart and R. Hilfer},
journal= {arXiv preprint arXiv:cond-mat/9902096},
year = {2009}
}
Comments
13 pages, including 7 postscript figures, to appear in Phys. Rev. E