TECHNICAL PAPERS
Oct 1, 1987

Macrodispersion in Stratified Porous Media

Publication: Journal of Hydraulic Engineering
Volume 113, Issue 10

Abstract

A methodology has been presented by which field data on spatial variations in the hydraulic conductivity and local dispersivity may be utilized to determine the macrodispersion coefficient tensor of the formation. This technique has been applied to an idealized stratified formation, and the relative importance of several nondimensional parameters that influence the macrodispersivity have been studied. It has been shown that for flows parallel to the stratification the macrodispersivity may be several orders of magnitude greater than the local dispersivity. This effect is significantly reduced as the flow direction is rotated. In utilizing the macroscopic advection‐dispersion equation, it has been shown that the macrodispersion coefficient may be dependent on grid scale, source location, and flow direction, although scale and source dependence will generally disappear as the grid scale becomes very large.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bear, J. (1961). “On the tensor form of dispersion in porous media.” J. of Geophys. Res., 66(4), 1185–1197.
2.
Chin, D. A. (1986a). “Estimation of dispersion coefficients in porous media.” J. Hydr. Engrg., ASCE, 112(7), 591–609.
3.
Chin, D. A. (1986b). “Predicting contaminant movement in groundwater.” Proc., 1986 Annual Meeting, ASCE South Florida Section, West Palm Beach, Fla.
4.
De Josselin de Jong, G. (1969). “The tensor character of the dispersion coefficient in anisotropic porous media.” Proc. First Symp. Fundamentals of Transport Phenomena in Porous Media, American Elsevier, New York, N.Y., 259–267.
5.
De Josselin de Jong, G. (1958). “Longitudinal and transverse diffusion in granular deposits.” Trans. Amer. Geophys. Union, 39(1), 67–74.
6.
Gelhar, L. W., and Axness, C. L. (1983). “Three‐dimensional stochastic analysis of macrodispersion in aquifers.” Water Resour. Res., 19(1), 161–180.
7.
Gupta, V. K., and Bhattacharya, R. N. (1986). “Solute dispersion in multidimensional periodic saturated porous media.” Water Resour. Res., 22(2), 156–164.
8.
Güven, O., and Molz, F. J. (1986). “Deterministic and stochastic analyses of dispersion in an unbounded stratified porous medium.” Water Resour. Res., 22(11), 1565–1574.
9.
Güven, O., Molz, F. J., and Melville, J. G. (1984). “An analysis of dispersion in a stratified aquifer.” Water Resour. Res., 20(10), 1337–1354.
10.
Klotz, D., Seiler, K.‐P., Moser, H., and Neumaier, F. (1980). “Dispersivity and velocity relationship from laboratory and field experiments.” J. of Hydrology, Vol. 45, Elsevier Scientific Pub. Co., Amsterdam, Netherlands 169–184.
11.
Matheron, G., and de Marsily, G. (1980). “Is transport in porous media always diffusive? A counterexample.” Water Resour. Res., 16(5), 901–916.
12.
McDonald, M. G., and Harbaugh, A. W. (1984). A modular three‐dimensional finite difference ground‐water flow model, U.S. Geological Survey, National Center, Reston, Va.
13.
Neuman, S. P., Winter, C. L., and Newman, C. M. (1987). “Stochastic theory of field‐scale Fickian dispersion in anisotropic porous media.” Water Resour. Res., 23(3), 453–466.
14.
Scheidegger, A. E. (1961). “General theory of dispersion in porous media.” J. Geophys. Res., 66(10), 3273–3278.
15.
Sposito, G., Jury, W. A., and Gupta, V. K. (1986). “Fundamental problems in the stochastic convection‐dispersion model of solute transport in aquifers and field soils.” Water Resour. Res., 22(1), 77–88.
16.
Whitaker, S. (1967). “Diffusion and dispersion in porous media.” J.A.I.Ch.E., 13(3), 420–427.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 113Issue 10October 1987
Pages: 1343 - 1357

History

Published online: Oct 1, 1987
Published in print: Oct 1987

Permissions

Request permissions for this article.

Authors

Affiliations

David A. Chin, A. M. ASCE
Asst. Prof., Dept. of Civ. and Arch. Engrg., Univ. of Miami, Coral Gables, FL, 33186

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share