Details
| Original language | English |
|---|---|
| Pages (from-to) | 287-314 |
| Number of pages | 28 |
| Journal | Transport in porous media |
| Volume | 51 |
| Issue number | 3 |
| Publication status | Published - Jun 2003 |
| Externally published | Yes |
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.
Keywords
- Buckley-Leverett flow, Heterogeneous porous media, Macrodispersion, Stochastic method, Two-phase flow, Upscaling
ASJC Scopus subject areas
- Chemical Engineering(all)
- Catalysis
- Chemical Engineering(all)
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In: Transport in porous media, Vol. 51, No. 3, 06.2003, p. 287-314.
Research output: Contribution to journal › Article › Research › 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 -