Saturation overshoot and hysteresis for twophase flow in porous media*
Institute for Computational Physics, Universität Stuttgart, 70569 Stuttgart, Germany
Received: 3 April 2014
Revised: 18 August 2014
Published online: 24 October 2014
Saturation overshoot and hysteresis for two phase flow in porous media are briefly reviewed. Old and new challenges are discussed. It is widely accepted that the traditional Richards model for twophase flow in porous media does not support non-monotone travelling wave solutions for the saturation profile. As a concequence various extensions and generalizations have been recently discussed. The review highlights different limits within the traditional theory. It emphasizes the relevance of hysteresis in the Buckley–Leverett limit with jump-type hysteresis in the relative permeabilities. Reviewing the situation it emerges that the traditional theory may have been abandoned prematurely because of its inability to predict saturation overshoot in the Richards limit.
© EDP Sciences, Springer-Verlag, 2014