Details
Original language | English |
---|---|
Pages (from-to) | 481-493 |
Number of pages | 13 |
Journal | Water resources research |
Volume | 37 |
Issue number | 3 |
Publication status | Published - 1 Mar 2001 |
Externally published | Yes |
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
- Environmental Science(all)
- Water Science and Technology
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In: Water resources research, Vol. 37, No. 3, 01.03.2001, p. 481-493.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach
AU - Neuweiler, Insa
AU - Attinger, S.
AU - Kinzelbach, W.
PY - 2001/3/1
Y1 - 2001/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034989868&partnerID=8YFLogxK
U2 - 10.1029/2000WR900313
DO - 10.1029/2000WR900313
M3 - Article
AN - SCOPUS:0034989868
VL - 37
SP - 481
EP - 493
JO - Water resources research
JF - Water resources research
SN - 0043-1397
IS - 3
ER -