On the Reconstruction of Random Media using Monte Carlo Methods
arXiv:cond-mat/9902096 · doi:10.1103/PhysRevE.59.5596
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.
13 pages, including 7 postscript figures, to appear in Phys. Rev. E