Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.10: Poster

Thursday, March 14, 2013, 17:00–19:00, Poster C

Generalized theory for multiphase flow in porous media — Oliver Hönig, •Rouven Steinle, and Rudolf Hilfer — Institut für Computerphysik, Universität Stuttgart, 70569 Stuttgart, Deutschland

We study multiphase flow processes, including imbibition and drainage processes, in porous media on macroscopic scales to resolve the shortcomings of the traditional theory. The equations of the fluid percolation model [1] are transformed into a dynamical system with immobile nonpercolating fluid phases. This dynamical system is investigated analytically and numerically. Various classes of travelling wave solutions have been found [2].

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

[2] O. Hönig, F. Doster, R. Hilfer, Travelling wave solutions in a generalized theory for macroscopic capillarity, in preparation