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Reference Category Journals
DOI 10.1023/A:1022370927468
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Title (Primary) Large scale mixing for immiscible displacement in heterogeneous porous media
Author Neuweiler, I.; Attinger, S.; Kinzelbach, W.; King, P.
Source Titel Transport in Porous Media
Year 2003
Department CHS
Volume 51
Issue 3
Page From 287
Page To 314
Language englisch
Keywords upscaling; two-phase flow; Buckley-Leverett flow; stochastic method; heterogeneous porous media; macrodispersion
Abstract We derive a large scale mixing parameter for a displacement process of one fluid by another immiscible one in a two-dimensional heterogeneous porous medium. The mixing of the displacing fluid saturation due to the heterogeneities of the permeabilities is captured by a dispersive flux term in the large scale homogeneous flow equation. By making use of the stochastic approach we develop a definition of the dispersion coefficient and apply a Eulerian perturbation theory to determine explicit results to second order in the fluctuations of the total velocity. We apply this method to a uniform flow configuration as well as to a radial one. The dispersion coefficient is found to depend on the mean total velocity and can therefore be time varying. The results are compared to numerical multi-realization calculations. We found that the use of single phase flow stochastics cannot capture all phenomena observed in the numerical simulations.
Persistent UFZ Identifier
Neuweiler, I., Attinger, S., Kinzelbach, W., King, P. (2003):
Large scale mixing for immiscible displacement in heterogeneous porous media
Transp. Porous Media 51 (3), 287 - 314 10.1023/A:1022370927468