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This article in VZJ

  1. Vol. 11 No. 3
    Received: Dec 14, 2011
    Published: September 7, 2012

    * Corresponding author(s): Frederike.Kissling@mathematik.uni-stuttgart.de
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Simulation of Infiltration Processes in the Unsaturated Zone Using a Multiscale Approach

  1. Frederike Kissling ,
  2. Rainer Helmigb and
  3. Christian Rohdea
  1. aInstitut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
    bInstitut für Wasserbau, Universität Stuttgart, Pfaffenwaldring 61, D-70569 Stuttgart, Germany


Saturation overshoots during infiltration are simulated with a numerical model that relies on an extended Heterogeneous Multiscale Method. On the macroscale, the overshoot is realized as a shock wave which is driven by microscale configurational forces. These are captured using an evolution equation with rate-dependent capillary pressure.

We consider the infiltration of a wetting fluid into a homogeneous porous medium and the formation of preferential flow paths with saturation overshoots. These are caused by dynamic capillary pressure effects which can be modeled by the rate-dependent approach of Hassanizadeh and Gray. To track the overshoot wave numerically, we propose an extended Heterogeneous Multiscale Method. In the approach, the rate-dependent model takes the role of a microscale model. The algorithm is applied to several infiltration problems.

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Copyright © 2012. Copyright © by the Soil Science Society of America, Inc.