Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 40: Posters II
DY 40.10: Poster
Donnerstag, 17. März 2011, 17:00–19:00, P3
Percolation in two phase flow in porous media on macroscopic scales — •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 standard model for multiphase flow in porous media on scales of centimeters to hectometers shows several deficiencies when compared with experiments. Fundamental parameter functions are not unique due to hysteretic and dynamic effects. Residual saturations cannot be predicted but are injected as parameters into the standard model. A macroscopic mixture theory for immiscible two phase displacement in porous media aims to cope with these deficiencies by taking into account the differences in percolating and nonpercolating phases. Recently first numerical solutions to the theory have been published [2,3]. Here, analytical and quasi-analytical solutions of a hyperbolic limit of the theory are presented. The results show that the degeneracy of states of the traditional theory is resolved within the new one. The results show that hysteresis in relative permeabilities is indeed reproduced inherently by the new theory. It is further indicated that dynamic effects in saturations and residual saturations are contained and that the representation of irreducible fluids by constant parameters in the traditional theory is questionable.
[1] R. Hilfer, Phys. Rev. E, 73, 016307 (2006)
[2] R. Hilfer and F. Doster, Trans. Por. Med., 82 (3), 507-519 (2010)
[3] F. Doster et al., Phys. Rev. E, 81, 036307 (2010)