Modelling of interfaces in unsaturated porous media

Mario Ohlberger; Ben Schweizer

doi:10.3934/proc.2007.2007.794

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2007, Volume 2007: 794-803. Doi: 10.3934/proc.2007.2007.794 open access

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Modelling of interfaces in unsaturated porous media

Mario Ohlberger¹ and
Ben Schweizer^2,

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

Received: August 31, 2006

Revised: June 30, 2007

Published: August 2007

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Abstract

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.

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Mathematics Subject Classification: Primary: 76S05, 35K60, 35K65.

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