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. An effective (upscaled) model is derived by homogenization techniques.
|Title of host publication||Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006)|
|Editors||L.L. Bonilla, M. Moscoso, G. Platero, J.M. Vega|
|Place of Publication||Berlin|
|Publication status||Published - 2008|
|Name||Mathematics in Industry|
Duijn, van, C. J., Eichel, H., Helmig, R., & Pop, I. S. (2008). Effective two-phase flow models including trapping effects at the micro scale. In L. L. Bonilla, M. Moscoso, G. Platero, & J. M. Vega (Eds.), Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006) (pp. 333-339). (Mathematics in Industry; Vol. 12). Springer. https://doi.org/10.1007/978-3-540-71992-2_47