A numerical scheme for two-scale phase-field models in porous media
[EN] We consider the flow of two immiscible fluid phases in a porous medium. At the scale of pores, the two fluid phases are separated by interfaces that are transported by the flow. Furthermore, the surface tension at such interfaces depends on the concentration of a surfactant dissolved in one of...
| Autores: | , , , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/186550 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/186550 |
| Access Level: | acceso abierto |
| Palabra clave: | Multi-scale methods Phase-field models Porous media Two-phase flow |
| Sumario: | [EN] We consider the flow of two immiscible fluid phases in a porous medium. At the scale of pores, the two fluid phases are separated by interfaces that are transported by the flow. Furthermore, the surface tension at such interfaces depends on the concentration of a surfactant dissolved in one of the fluids. Here we discuss a two-scale model for two-phase porous-media flow, in which concentration-dependent surface tension effects are incorporated. The model is obtained by employing formal homogenization methods and relies on the phase-field approach, in which thin, diffuse interface regions approximate the interfaces. We propose a two-scale numerical scheme and present numerical results revealing the influence of various quantities on the averaged behaviour of the system. |
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