Capillary Network Model: Capillary Power and Effective Permeability

preprint2012arXivOpen access

Abstract

A simple model of two-phase flow in porous media is presented. A connection is made to statistical mechanics by applying capillary power as a constraint. Stochastic sampling is then used to test the validity of this approach. Good agreement is found between stochastic sampling and time stepping for flow-rates above a transition value.

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