An exact solution of solute transport by one-dimensional random velocity fields
Stochastic Hydrology and Hydraulics
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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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | An exact solution of solute transport by one-dimensional random velocity fields |
| Series title | Stochastic Hydrology and Hydraulics |
| DOI | 10.1007/BF01544177 |
| Volume | 5 |
| Issue | 1 |
| Year Published | 1991 |
| Language | English |
| Publisher location | Springer-Verlag |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Stochastic Hydrology and Hydraulics |
| First page | 45 |
| Last page | 54 |
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