Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Fluid dynamics II
DY 26.6: Vortrag
Donnerstag, 28. Februar 2008, 15:30–15:45, MA 001
Numerical solutions of a recent theory for two-phase flow in porous media — •Florian Doster1 and Rudolf Hilfer1,2 — 1Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — 2Institute for Physics, University of Mainz, 55099 Mainz, Germany
The commonly used constitutive theory for multiphase flow in porous media on macroscopic scales -- the extended Darcy theory -- has several deficiencies regarding hysteresis and residual saturations. Experimental evidence shows that the fundamental parameter functions of the theory, i.e. capillary pressure and relative permeabilities are process dependent and hence are not parameter functions. A new constitutive theory addressed some of these challenges [1]. A subsequent work presented promising calculations in and near the hydrostatic equilibrium in [2]. We present a fully implicit finite volume algorithm to solve the set of coupled nonlinear PDE's in one dimension. Results of simulated reference problems, i.e. the Buckley-Leverett-Problem, the McWorther-Problem, etc. used for studying the parameter space of the theory and testing the algorithm are shown.
[1] R. Hilfer, Phys. Rev. E 58, 2090 (1998)
[2] R. Hilfer, Physica A 371, 209 (2006)