Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 14: Complex Systems

DY 14.5: Vortrag

Montag, 7. März 2016, 17:15–17:30, H47

Propagation, growth and decay of saturation overshoot — •Rouven Steinle and Rudolf Hilfer — Institute for Computational Physics, University of Stuttgart, Germany

A sequence of drainage and imbibition shocks within the traditional theory of two-phase immiscible displacement can give rise to shallow non-monotone saturation profiles [1]. This phenomenon depends sensitively on model parameters and initial conditions. The systematical investigation of saturation overshoot on initial conditions allows to determine regions in the parameter space for the observation of saturation overshoot and to explore limitations of the underlying idealized hysteresis model. Numerical solutions of the nonlinear partial differential equations of motion reveal a strong dependence of the overshoot phenomenon on the boundary and initial conditions [2]. Overshoot solutions with experimentally detectable height are shown to exist numerically. Extensive parameter studies reveal different classes of initial conditions for which the width of the overshoot region, can decrease, increase or remain constant.

Hilfer, R. and Steinle, R., Eur.Phys.J.ST, 223, 2323 (2014)
Steinle, R. and Hilfer, R., Transp. Porous Media, (in print) (2016)