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DY: Fachverband Dynamik und Statistische Physik

DY 17: Modeling and Data Analysis

DY 17.2: Vortrag

Mittwoch, 2. April 2014, 09:45–10:00, ZEU 146

Generation of drainage or imbibition waves from nonconstant initial saturations of trapped disconnected fluid parts during two-phase immiscible displacement — •Rouven Steinle and Rudolf Hilfer — Institut für Computerphysik, Universität Stuttgart, 70569 Stuttgart, Deutschland

For two-phase immiscible displacement in a homogeneous porous medium with spatially constant initial saturation the traditional Darcy theory predicts no changes of the saturations during drainage or imbibition when the boundary saturations are kept constant. The physical content of a recent generalization of the traditional Darcy theory is tested by studying a similar initial and boundary value problem. The generalized theory distinguishes between percolating and nonpercolating (trapped, disconnected) fluid phases [1]. The initial value problem now requires to specify initial profiles separately for the percolating and nonpercolating phases. When the initial nonpercolating profiles are position dependent drainage or imbibition waves may be generated depending on the initial profiles [2]. These results allow to test the generalized theory by comparing its predictions to experiment.

[1] R. Hilfer, Macroscopic capillarity without a constitutive capillary pressure function, Physica A, vol. 371, pp. 209, (2006)

[2] A. Monge Sánchez, Numerical Solutions of Macroscopic Equations for Multiphase Flows in Porous Media, Master Thesis, (2013)