Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits

M. Ferer, Grant S. Bromhal and Duane H. Smith

Physica A: Statistical Mechanics and its Applications, 2003, vol. 319, issue C, 11-35

Abstract: Motivated by a wide-range of applications from ground water remediation to carbon dioxide sequestration and by difficulties in reconciling experiments with previous modeling, we have developed a pore-level model of two-phase flow in porous media. We have attempted to make our model as physical and as reliable as possible, incorporating both capillary effects and viscous effects. After a detailed discussion of the model, we validate it in the very different limits of zero capillary number and zero-viscosity ratio. Invasion percolation (IP) models the flow in the limit of zero capillary number; results from our model show detailed agreement with results from IP, for small capillary numbers. Diffusion limited aggregation (DLA) models the flow in the limit of zero-viscosity ratio; flow patterns from our model have the same fractal dimension as patterns from DLA for small viscosity ratios.

Keywords: Pore-level modeling; Immiscible drainage; Invasion percolation; DLA (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:319:y:2003:i:c:p:11-35

DOI: 10.1016/S0378-4371(02)01508-X

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