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The cellular automata approach to simulating fluid flows in porous media

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  • Kohring, G.A.

Abstract

The modeling of fluid flows in porous media using cellular automata is discussed. Efficient methods for simulating these models on scalar, vector, and parallel computers are presented. Results for two-dimensional systems with up to 200 million particles show finite size effects. which may be interpreted as arising from the mean free path, λ, of the fluid particles. Empirically, these finite size effects are found to be proportional to: 1 + 7λ/R, where R is the characteristic size of the system. Using this information, the dependence of the permeability, κ, on the porosity, φ, of a 2D porous medium can be estimated as: καe6.5φ/(1 − φ).

Suggested Citation

  • Kohring, G.A., 1992. "The cellular automata approach to simulating fluid flows in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(1), pages 97-108.
    • Handle: RePEc:eee:phsmap:v:186:y:1992:i:1:p:97-108
    DOI: 10.1016/0378-4371(92)90368-Z
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    1. Yuzhakov, Vladimir (Южаков, Владимир) & Startsev, Y (Старцев, Я.), 2015. "Development of a Concept of an Interdisciplinary Research Program of Formation of Complex Methodologies and Techniques of Management Development in Public Administration [Разработка Концепции Межди," Published Papers mn37, Russian Presidential Academy of National Economy and Public Administration.

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