Dynamics of Wetting Fronts in Porous Media

Details Dynamics of Wetting Fronts in Porous Media Dynamics of Wetting Fronts in Porous Media

1998-09-04

arxiv.org/abs/patt-sol/9809004v1

Physical Review E, V. 58, No. 5, R5245-R5248, Rapid Communications (1998)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures, revtex

Scientific paper

10.1103/PhysRevE.58.R5245

We propose a new phenomenological approach for describing the dynamics of wetting front propagation in porous media. Unlike traditional models, the proposed approach is based on dynamic nature of the relation between capillary pressure and medium saturation. We choose a modified phase-field model of solidification as a particular case of such dynamic relation. We show that in the traveling wave regime the results obtained from our approach reproduce those derived from the standard model of flow in porous media. In more general case, the proposed approach reveals the dependence of front dynamics upon the flow regime.

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