A diffuse interface model for solid-liquid-air dissolution problems based on a porous medium theory - Archive ouverte HAL Access content directly
Poster Communications Year : 2012

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

Abstract

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.
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Dates and versions

hal-04023900 , version 1 (10-03-2023)

Identifiers

  • HAL Id : hal-04023900 , version 1
  • OATAO : 5223

Cite

Haishan Luo, Michel Quintard, Gérald Debenest, Farid Laouafa. A diffuse interface model for solid-liquid-air dissolution problems based on a porous medium theory. AGU Fall Meeting 2011, Dec 2011, San Francisco, United States. pp.0, 2012. ⟨hal-04023900⟩
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