Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T14:01:13.433Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of scale on solute dispersion in saturated porous media

Published online by Cambridge University Press:  01 July 2016

Vijay K. Gupta  and
R. N. Bhatiacharya
Vijay K. Gupta
Affiliation:
University of Mississippi
R. N. Bhatiacharya
Affiliation:
Indiana University
Get access Rights & Permissions [Opens in a new window]

Extract

Consider a saturated porous m edium in which water is flowing slowly with a steady velocity. Suppose at some space-time scale the concentration C(x, r) of a non-reactive dilute solute is governed by the following Fokker-Planck differential equation:

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 18
Copyright
Copyright © Applied Probability Trust 1984 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bhattacharya, R. N. (1982) On the functional central limit theorem and the law of iterated logarithm for Markov processes. Z. Wahrscheinlichkeitsth. 60, 195–201.Google Scholar
Bhattacharya, R. N. (1983) On the asymptotics of diffusions under periodic coefficients.Google Scholar
Bhattacharya, R. N. and Gupta, V. K. (1983) A theoretical explanation of solute dispersion in saturated porous media at the Darcy scale. Water Resources Res. 19, 938–944.Google Scholar
Gelhar, L. W. and Axness, C. L. (1983) Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resources Res. 19, 161–180.Google Scholar
Winter, C. K. (1982) Asymptotic Properties of Mass Transport in Random Porous Media. Ph.D. Dissertation, Programs in Applied Mathematics, University of Arizona, Tucson.Google Scholar