dorsal/arxiv
View SchemaDynamics of Wetting Fronts in Porous Media
| Authors | Igor Mitkov, Daniel M. Tartakovsky, C. Larrabee Winter |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9809004 |
| URL | https://arxiv.org/abs/patt-sol/9809004 |
| DOI | 10.1103/PhysRevE.58.R5245 |
| Journal | Physical Review E, V. 58, No. 5, R5245-R5248, Rapid Communications (1998) |
Abstract
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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"abstract": "We propose a new phenomenological approach for describing the dynamics of\nwetting front propagation in porous media. Unlike traditional models, the\nproposed approach is based on dynamic nature of the relation between capillary\npressure and medium saturation. We choose a modified phase-field model of\nsolidification as a particular case of such dynamic relation. We show that in\nthe traveling wave regime the results obtained from our approach reproduce\nthose derived from the standard model of flow in porous media. In more general\ncase, the proposed approach reveals the dependence of front dynamics upon the\nflow regime.",
"arxiv_id": "patt-sol/9809004",
"authors": [
"Igor Mitkov",
"Daniel M. Tartakovsky",
"C. Larrabee Winter"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.58.R5245",
"journal_ref": "Physical Review E, V. 58, No. 5, R5245-R5248, Rapid Communications\n (1998)",
"title": "Dynamics of Wetting Fronts in Porous Media",
"url": "https://arxiv.org/abs/patt-sol/9809004"
},
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