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A diffuse interface model for solid-liquid-air dissolution problems based on a porous medium theory

Luo, Haishan and Quintard, Michel and Debenest, Gérald and Laouafa, Farid A diffuse interface model for solid-liquid-air dissolution problems based on a porous medium theory. (2012) In: AGU Fall Meeting 2011, 5 December 2011 - 9 December 2011 (San Francisco, United States).

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The underground rock may be dissolved by the flows of groundwater where the dissolution mainly happens at the liquid-solid interface. In many practical cases, the underground cavities are not occupied only by the water, but also the gas phase, e.g., air, CO2. In this case, there are solid-liquid-gas three phases. Normally, the air does not participate the dissolution. However, it may influence the dissolution as the position of the solid-liquid interface may gradually change with the dissolution process. Simulating the dissolution problems with multi-moving interfaces is a difficult but rather interesting task. In this paper, we propose a diffuse interface model (DIM) to simulate the three-phase dissolution problem, based on a porous medium theory and a volume averaging theory. The interfaces are regarded as continuous layers where the phase indicator (for the solid-liquid interface) and the phase saturation (for the liquid-gas interface) vary rapidly but smoothly.

Item Type:Conference or Workshop Item (Poster)
HAL Id:hal-04023900
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
French research institutions > Institut National de l'Environnement Industriel et des Risques - INERIS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:24 Feb 2012 14:51

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