Dynamics of wetting fronts in porous media

Igor Mitkov, Daniel M. Tartakovsky, C. Larrabee Winter

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

We propose a phenomenological approach for describing the dynamics of wetting front propagation in porous media. Unlike traditional models, the proposed approach is based on the 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 a 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 a more general case, the proposed approach reveals the dependence of front dynamics upon the flow regime.

Original languageEnglish (US)
Pages (from-to)R5245-R5248
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number5
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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