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Generation of Spatially Correlated Network Models of Porous Media

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Abstract

A Monte Carlo (MC) algorithm to generate pore networks with spatial correlation of pore sizes is developed. The algorithm is illustrated for model porous media described as a two-dimensional square lattices of nodes and bonds which represent pore bodies and pore throats, respectively. We seek a spatial rearrangement of pore throats that minimizes the difference between the semivariogram of the network and a given model semivariogram. The spatial correlation of the initially uncorrelated network increases by means of MC moves where the diameters of a pair of randomly chosen pores are interchanged. The algorithm preserves the initial pore size distribution. Finally, the correlated pore throat networks are used to derive correlated pore body networks once a given body-to-throat size ratio is set. A simple parallel implementation of the algorithm is presented.

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Acknowledgments

G. Quezada thanks University of Concepción and CONICYT-Chile for graduate student fellowships. We thank Centro CRHIAM Project Conicyt/Fondap-15130015 and Red Doctoral REDOC.CTA, MINEDUC Grant UCO1202 for financial support. J. Saavedra thanks Centro CHRIAM for a postdoctoral fellowship position. R. E. Rozas thanks Nvidia Education Center program for the donation of graphic cards to the University of Bío-Bío.

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  1. J. H. Saavedra

    Present address: Department of Wood Engineering, University of Bío-Bío, Av. Collao 1202, PO Box 5-C, Concepción, Chile

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  1. Chemical Engineering Department and Surface Analysis Laboratory (ASIF), University of Concepción, PO Box 160-C, Correo 3, Concepción, Chile

    G. R. Quezada, P. G. Toledo & J. H. Saavedra

  2. Department of Physics, University of Bío-Bío, Av. Collao 1202, PO Box 5-C, Concepción, Chile

    R. E. Rozas

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Quezada, G.R., Toledo, P.G., Saavedra, J.H. et al. Generation of Spatially Correlated Network Models of Porous Media. Transp Porous Med 111, 499–515 (2016). https://doi.org/10.1007/s11242-015-0606-6

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