Publication Details |
| Category | Text Publication |
| Reference Category | Journals |
| DOI | 10.1029/2000WR900313 |
| Title (Primary) | Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach |
| Author | Neuweiler, I.; Attinger, S.; Kinzelbach, W. |
| Source Titel | Water Resources Research |
| Year | 2001 |
| Department | CHS |
| Volume | 37 |
| Issue | 3 |
| Page From | 481 |
| Page To | 493 |
| Language | englisch |
| 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. |
| Persistent UFZ Identifier | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=6656 |
| Neuweiler, I., Attinger, S., Kinzelbach, W. (2001): Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach Water Resour. Res. 37 (3), 481 - 493 10.1029/2000WR900313 |
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