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Effective equations for two-phase flow in porous media: the effect of trapping at the micro scale

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: C.J. van Duijn, H. Eichel, R. Helmig, I.S. Pop

Editorial: Transp. Porous Med., 69, p.411-428, 2007.

Rezumat:

In this article, we consider a two-phase flow model in a heterogeneous porous column. The medium consists of many homogeneous layers that are perpendicular to the flow direction and have a periodic structure resulting in a one-dimensional flow. Trapping may occur at the interface between a coarse and a fine layer. Assuming that capillary effects caused by the surface tension are in balance with the viscous effects, we apply the homogenization approach to derive an effective (upscaled) model. Numerical experiments show a good agreement between the effective solution and the averaged solution taking into account the detailed microstructure.

Cuvinte cheie: homogenization, two-phase flow, porous media, upscaling

URL: http://www.springerlink.com/content/x0xv331t02763237/