Stochastic reconstruction of sandstones

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 ann...

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Bibliographic Details
Published in:arXiv.org 2000-07
Main Authors: Manwart, C, Torquato, S, Hilfer, R
Format: Article
Language:English
Subjects:
Algorithms
Computer simulation
Distribution functions
Percolation
Pore size distribution
Porosity
Sandstone
Simulated annealing
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0007459