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Horizontal redistribution of fluids in a porous medium: The role of interfacial area in modeling hysteresis
Authors:IS Pop  CJ van Duijn  J Niessner  SM Hassanizadeh
Institution:1. Technische Universiteit Eindhoven, Department of Mathematics and Computer Science, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;2. Universität Stuttgart, Institut für Wasserbau, Pfaffenwaldring 61, D-70550 Stuttgart, Germany;3. Universiteit Utrecht, Department of Earth Sciences, P.O. Box 80021, 3508 TA Utrecht, The Netherlands
Abstract:Recent advances in multi-phase flow theory have shown that the flow of several phases in a porous medium is highly influenced by the interfaces separating these phases. First modeling studies based on this new theory have been performed on a pore scale, as well as on a volume-averaged macro scale using balance equations and constitutive relations that take the role and presence of interfaces into account. However, neither experimental data nor analytical solutions are available on the macro scale so far, although their knowledge is essential for the verification of the new models.
Keywords:Porous media flow  Interfacial area model  Redistribution  Similarity solution
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