Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 287-314 |
| Seitenumfang | 28 |
| Fachzeitschrift | Transport in porous media |
| Jahrgang | 51 |
| Ausgabenummer | 3 |
| Publikationsstatus | Veröffentlicht - Juni 2003 |
| Extern publiziert | Ja |
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.
ASJC Scopus Sachgebiete
- Chemische Verfahrenstechnik (insg.)
- Katalyse
- Chemische Verfahrenstechnik (insg.)
- Allgemeine chemische Verfahrenstechnik
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in: Transport in porous media, Jahrgang 51, Nr. 3, 06.2003, S. 287-314.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Large scale mixing for immiscible displacement in heterogeneous porous media
AU - Neuweiler, Insa
AU - Attinger, S.
AU - Kinzelbach, W.
AU - King, P.
PY - 2003/6
Y1 - 2003/6
N2 - 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.
AB - 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.
KW - Buckley-Leverett flow
KW - Heterogeneous porous media
KW - Macrodispersion
KW - Stochastic method
KW - Two-phase flow
KW - Upscaling
UR - http://www.scopus.com/inward/record.url?scp=0037409138&partnerID=8YFLogxK
U2 - 10.1023/A:1022370927468
DO - 10.1023/A:1022370927468
M3 - Article
AN - SCOPUS:0037409138
VL - 51
SP - 287
EP - 314
JO - Transport in porous media
JF - Transport in porous media
SN - 0169-3913
IS - 3
ER -