Thermodynamic automaton simulations of fluid flow and diffusion in porous media

A thermodynamic automaton model of fluid flow in porous media is presented. The model is a nonrelativistic version of a Lorentz invariant lattice gas model constructed by Udey et al. (1998). In the previous model it was shown that the energy momentum tensor and the relativistic Boltzman equation can...

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Bibliographic Details
Published in:Transport in porous media 1999-04, Vol.35 (1), p.37-47
Main Authors: YANG, D, UDEY, N, SPANOS, T. J. T
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Darcys law
Diffusion
Diffusion coefficient
Earth sciences
Earth, ocean, space
Exact sciences and technology
Fluid flow
Hydrogeology
Hydrology. Hydrogeology
Porous media
Porous media flow
Simulation
Tensors
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Summary:A thermodynamic automaton model of fluid flow in porous media is presented. The model is a nonrelativistic version of a Lorentz invariant lattice gas model constructed by Udey et al. (1998). In the previous model it was shown that the energy momentum tensor and the relativistic Boltzman equation can be rigorously derived from the collision and propagation rules. In the present paper we demonstrate that this nonrelativistic model can be used to accurately simulate well known results involving single phase flow and diffusion in porous media. The simulation results show that (1) one-phase flow simulations in porous media are consistent with Darcy's law; (2) the apparent diffusion coefficient decreases with a decrease in permeability; (3) small scale heterogeneity does not affect diffusion significantly in the cases considered.
ISSN:0169-3913
1573-1634
DOI:10.1023/A:1006528621365