Publication Details |
| Category | Text Publication |
| Reference Category | Journals |
| DOI | 10.1023/A:1022370927468 |
| Document | Shareable Link |
| 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 | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=5100 |
| 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 |
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