Berlin 2015 – scientific programme

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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 41.3: Talk

Thursday, March 19, 2015, 10:15–10:30, BH-N 334

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

A macroscopic theory for two-phase-flow in porous media that distinguishes between percolating (free-flowing) and non-percolating (trapped, disconnected) fluid parts has been studied. The theory naturally predicts hysteresis and spatiotemporal variations of residual and irreducible saturations. The computational advantage of the generalization over the traditional theory is the strict locality in time of all processes including hysteretic processes with simultaneous drainage and imbibition. Initial and boundary value problems on semi-infinite domains with constant total flux (generalized Buckley Leverett problems) have been solved semi-analytically with and without flow reversal. Complex combinations of shock fronts and rarefaction waves have been observed as the result.