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DY: Fachverband Dynamik und Statistische Physik

DY 41: Complex Fluids and Soft Matter - Part II (joint session DY/ CPP / BP)

DY 41.4: Talk

Thursday, March 19, 2015, 10:30–10:45, BH-N 334

Saturation overshoot and hysteresis for twophase flow in porous media — •Rouven Steinle and Rudolf Hilfer — Institute for Computational Physics, University of Stuttgart, Germany

Observations of non-monotone saturation profiles (saturation overshoot) during twophase infiltration processes have recently attracted much attention because such profiles are mathematically excluded within the Richards approximation to the traditional Darcy theory. Here it is shown that a traditional Darcy theory combined with a simple hysteresis model yields non-monotone saturation profiles in the Buckley-Leverett limit. Analytical arguments and numerical simulations are reported. They agree quantitatively in predicting saturation overshoot. A simple jump-type hysteresis in the relative permeabilities suffices to yield a saturation overshoot, while hysteresis in the capillary pressure is not needed [1]. Extensive numerical simulations of the mathematical model reveal a strong dependence of the overshoot phenomenon on the initial and boundary conditions.
[1] Hilfer, R. and Steinle, R., Saturation overshoot and hysteresis for twophase flow in porous media, Eur.Phys.J.ST, vol. 223, pp. 2323 (2014)