caa a22 4500 463162870 CHVBK 20180406164752.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11242-006-9089-9 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9089-9 Effective equations for two-phase flow in porous media: the effect of trapping on the microscale [Elektronische Daten] [Cornelis Johannes van Duijn, Hartmut Eichel, Rainer Helmig, Iuliu Pop] 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. Springer Science+Business Media, Inc., 2007 Homogenization nationallicence Two-phase flow nationallicence Porous media nationallicence Upscaling nationallicence Johannes van Duijn Cornelis Department of Mathematics and Computer Science, TU Eindhoven, PO Box 513, 5600MB, Eindhoven, The Netherlands aut Eichel Hartmut Department of Hydromechanics and Modeling of Hydrosystems, Institute of Hydraulic Engineering, Universität Stuttgart, Pfaffenwaldring 61, 70550, Stuttgart, Germany aut Helmig Rainer Department of Hydromechanics and Modeling of Hydrosystems, Institute of Hydraulic Engineering, Universität Stuttgart, Pfaffenwaldring 61, 70550, Stuttgart, Germany aut Pop Iuliu Department of Mathematics and Computer Science, TU Eindhoven, PO Box 513, 5600MB, Eindhoven, The Netherlands aut Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 411-428 0169-3913 69:3<411 2007 69 11242 https://doi.org/10.1007/s11242-006-9089-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9089-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Johannes van Duijn Cornelis Department of Mathematics and Computer Science, TU Eindhoven, PO Box 513, 5600MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Eichel Hartmut Department of Hydromechanics and Modeling of Hydrosystems, Institute of Hydraulic Engineering, Universität Stuttgart, Pfaffenwaldring 61, 70550, Stuttgart, Germany aut NATIONALLICENCE 700 1- Helmig Rainer Department of Hydromechanics and Modeling of Hydrosystems, Institute of Hydraulic Engineering, Universität Stuttgart, Pfaffenwaldring 61, 70550, Stuttgart, Germany aut NATIONALLICENCE 700 1- Pop Iuliu Department of Mathematics and Computer Science, TU Eindhoven, PO Box 513, 5600MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 69/3(2007-09-01), 411-428 0169-3913 69:3<411 2007 69 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer