caa a22 4500 463177657 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10596-007-9050-1 doi (NATIONALLICENCE)springer-10.1007/s10596-007-9050-1 Dynamic capillary effects in heterogeneous porous media [Elektronische Daten] [Rainer Helmig, Alexander Weiss, Barbara Wohlmuth] In standard multi-phase flow models on porous media, a capillary pressure saturation relationship developed under static conditions is assumed. Recent experiments have shown that this static relationship cannot explain dynamic effects as seen for example in outflow experiments. In this paper, we use a static capillary pressure model and a dynamic capillary pressure model based on the concept of Hassanizadeh and Gray and examine the behavior with respect to material interfaces. We introduce a new numerical scheme for the one-dimensional case using a Lagrange multiplier approach and develop a suitable interface condition. The behavior at the interface is discussed and verified by various numerical simulations. Springer Science+Business Media B.V., 2007 Heterogeneous porous media nationallicence Dynamic capillary effect nationallicence Capillary pressure nationallicence Helmig Rainer IWS, Department of Hydromechanics and Modeling of Hydrosystems, Universität Stuttgart, Pfaffenwaldring 61, 70529, Stuttgart, Germany aut Weiss Alexander Institute of Applied Analysis and Numerical Simulations (IANS), Universität Stuttgart, Pfaffenwaldring 57, 70529, Stuttgart, Germany aut Wohlmuth Barbara Institute of Applied Analysis and Numerical Simulations (IANS), Universität Stuttgart, Pfaffenwaldring 57, 70529, Stuttgart, Germany aut Computational Geosciences Springer Netherlands 11/3(2007-09-01), 261-274 1420-0597 11:3<261 2007 11 10596 https://doi.org/10.1007/s10596-007-9050-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10596-007-9050-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Helmig Rainer IWS, Department of Hydromechanics and Modeling of Hydrosystems, Universität Stuttgart, Pfaffenwaldring 61, 70529, Stuttgart, Germany aut NATIONALLICENCE 700 1- Weiss Alexander Institute of Applied Analysis and Numerical Simulations (IANS), Universität Stuttgart, Pfaffenwaldring 57, 70529, Stuttgart, Germany aut NATIONALLICENCE 700 1- Wohlmuth Barbara Institute of Applied Analysis and Numerical Simulations (IANS), Universität Stuttgart, Pfaffenwaldring 57, 70529, Stuttgart, Germany aut NATIONALLICENCE 773 0- Computational Geosciences Springer Netherlands 11/3(2007-09-01), 261-274 1420-0597 11:3<261 2007 11 10596 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer