| Abstract: | The problem of one-dimensional transport of passive solute by a random steady velocity field is investigated. This problem is representative of solute movement in porous media, for example, in vertical flow through a horizontally stratified formation of variable porosity with a constant flux at the soil surface. Relating moments of particle travel time and displacement, exact expressions for the advection and dispersion coefficients in the Focker-Planck equation are compared with the perturbation results for large distances. The first- and second-order approximations for the dispersion coefficient are robust for a lognormal velocity field. The mean Lagrangian velocity is the harmonic mean of the Eulerian velocity for large distances. This is an artifact of one-dimensional flow where the continuity equation provides for a divergence free fluid flux, rather than a divergence free fluid velocity. ?? 1991 Springer-Verlag. |
| Genre: | Article |
| ProdID: | 70016884 |
| Citation Author: | Cvetkovic, V. D.; Dagan, G.; Shapiro, A. M. |
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| Citation End Page: | 54 |
| Citation Issue: | 1 |
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| Citation Language: | English |
| Citation Larger Work Title: | Stochastic Hydrology and Hydraulics |
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| Citation Number Of Pages: | 10 |
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| Citation Search Results Text: | An exact solution of solute transport by one-dimensional random velocity fields; 1991; Article; Journal; Stochastic Hydrology and Hydraulics; Cvetkovic, V. D.; Dagan, G.; Shapiro, A. M. |
| Citation Start Page: | 45 |
| Citation Volume: | 5 |
| Citation Year: | 1991 |
| Type: | citation/reference |
| Text: | An exact solution of solute transport by one-dimensional random velocity fields; 1991; Article; Journal; Stochastic Hydrology and Hydraulics; Cvetkovic, V. D.; Dagan, G.; Shapiro, A. M. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1007/BF01544177 |
| Date Other: | Tue, 1 Jan 1991 00:00 -0600 |
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