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Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Insa Neuweiler
  • S. Attinger
  • W. Kinzelbach

External Research Organisations

  • Imperial College London

Details

Original languageEnglish
Pages (from-to)481-493
Number of pages13
JournalWater resources research
Volume37
Issue number3
Publication statusPublished - 1 Mar 2001
Externally publishedYes

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.

ASJC Scopus subject areas

Cite this

Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach. / Neuweiler, Insa; Attinger, S.; Kinzelbach, W.
In: Water resources research, Vol. 37, No. 3, 01.03.2001, p. 481-493.

Research output: Contribution to journalArticleResearchpeer review

Neuweiler I, Attinger S, Kinzelbach W. Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach. Water resources research. 2001 Mar 1;37(3):481-493. doi: 10.1029/2000WR900313
Neuweiler, Insa ; Attinger, S. ; Kinzelbach, W. / Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach. In: Water resources research. 2001 ; Vol. 37, No. 3. pp. 481-493.
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