thumbnail

An exact solution of solute transport by one-dimensional random velocity fields

Stochastic Hydrology and Hydraulics

By:
, , and
DOI: 10.1007/BF01544177

Links

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.

Additional Publication Details

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