American Institute of Mathematical Sciences

2007, 2007(Special): 794-803. doi: 10.3934/proc.2007.2007.794

Modelling of interfaces in unsaturated porous media

 1 Mathematisches Institut, Universität Freiburg, Herrmann-Herder-Str. 10, D-79104 Freiburg, Germany 2 Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland

Received  September 2006 Revised  July 2007 Published  September 2007

In this contribution we discuss interface conditions for unsaturated flow in porous media. Our aim is to provide a concise collection of the arguments that lead to the standard models for interfaces that either separate two porous media or a porous medium and void space. We furthermore present a regularization procedure for these interface conditions. In a singular limit, a nonlinear boundary condition of third kind can provide approximate solutions to the outflow condition of Signorini type.
Citation: Mario Ohlberger, Ben Schweizer. Modelling of interfaces in unsaturated porous media. Conference Publications, 2007, 2007 (Special) : 794-803. doi: 10.3934/proc.2007.2007.794
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