Stochastic reconstruction of sandstones

Details Stochastic reconstruction of sandstones Stochastic reconstruction of sandstones

2000-07-28

arxiv.org/abs/cond-mat/0007459v1

Phys. Rev. E. 62(1), 893-899, 2000

Physics

Condensed Matter

Materials Science

12 pages, 5 figures

Scientific paper

10.1103/PhysRevE.62.893

A simulated annealing algorithm is employed to generate a stochastic model for a Berea and a Fontainebleau sandstone with prescribed two-point probability function, lineal path function, and ``pore size'' distribution function, respectively. We find that the temperature decrease of the annealing has to be rather quick to yield isotropic and percolating configurations. A comparison of simple morphological quantities indicates good agreement between the reconstructions and the original sandstones. Also, the mean survival time of a random walker in the pore space is reproduced with good accuracy. However, a more detailed investigation by means of local porosity theory shows that there may be significant differences of the geometrical connectivity between the reconstructed and the experimental samples.

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