Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.11: Poster

Donnerstag, 14. März 2013, 17:00–19:00, Poster C

Residual saturation dynamics and hysteresis in two-phase flow — •Rouven Steinle and Rudolf Hilfer — Institut für Computerphysik, Universität Stuttgart, 70569 Stuttgart, Deutschland

The concepts of relative permeability and capillary pressure are crucial for the accepted traditional theory of two phase flow in porous media. A generalization of the traditional theory does not require these concepts as input [1]. The presentation will describe this novel approach. It allows to predict residual saturations and local spatiotemporal changes between imbibition and drainage during two phase immiscible displacement. The Riemann problem for the hyperbolic limit is solved analytically in one dimension by the method of characteristics [2]. Shock fronts and rarefaction waves in both directions in the percolating and the nonpercolating fluids are found, which can be compared directly to experiment [2].

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

[2] F. Doster and R. Hilfer, Generalized Buckley-Leverett theory for two-phase flow in porous media, New Journal of Physics, vol. 13, pp. 123030, (2011)