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- Title
Macrodispersion in a radially diverging flow field with finite Peclet Numbers: 1. Perturbation theory approach.
- Authors
Neuweiler, I.; Attinger, S.; Kinzelbach, W.
- Abstract
In this paper large-scale dispersion coefficients for tracer transport in a radially diverging flow field with cylindrical geometry in an unbounded domain are investigated. The effect of small-scale dispersion as well as small-scale diffusion on the large-scale dispersion is analyzed. Macrodispersion coefficients are derived analytically from ensemble-averaged second radial cumulants of the tracer concentration distribution. The cumulants are calculated to second order in the fluctuations of permeability of the heterogeneous porous medium. A macrodispersion coefficient is found, which is proportional to the mean velocity field. It is shown that the macrodispersivity is modified because of the impact of the small-scale diffusion and small-scale dispersion. The vertical small-scale mixing leads to a decrease of the macrodispersivity. Small-scale diffusion makes this decrease time-dependent. Horizontal diffusion, however, leads to an increase of the macrodispersivity.
- Publication
Water Resources Research, 2001, Vol 37, Issue 3, p481
- ISSN
0043-1397
- Publication type
Article
- DOI
10.1029/2000WR900313