Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Modeling and Data Analysis

DY 17.1: Vortrag

Mittwoch, 2. April 2014, 09:30–09:45, ZEU 146

Analytical solutions for a model of tow-phase-flow in porous media — •Christoph Wolber and Rudolf Hilfer — Institut für Computerphysik, Universität Stuttgart, Allmandring 3, 70569 Stuttgart

Modeling immiscible two-phase flow in porous media on a macroscopic scale has proven difficult due to hysteresis and residual saturation. The traditional Buckley-Leverett- theory has to resolve these difficulties by explicitly introducing hysteresis into core concepts like capillary pressure and relative permeability. A new approach distinguishes between percolating and non percolating components of the fluid phases (2006b Phys. Rev. E 73 016307). The hysteresis is reproduced and can be linked to the entrapped fluids that are the physical cause of it. Analytical solutions for a hyperbolic limit have been studied with the method of characteristics. They show shocks and rarefaction waves as expected of hyperbolic partial differential equations. In addition to reproducing the results of the traditional theory where they are valid, the new theory can model processes where imbibition and drainage take place at the same time at different sites as well as flow-reversal problems.