TECHNICAL PAPERS
Apr 1, 1996

Stream-Aquifer Interaction Model with Diffusive Wave Routing

Publication: Journal of Hydraulic Engineering
Volume 122, Issue 4

Abstract

A practical approach to modeling the hydraulic interaction of a stream and aquifer via streambed leakage is based on the established U.S. Geological Survey (USGS) model, MODFLOW. To represent flood-wave propagation and the associated bank storage, MODFLOW's STREAM module is replaced by the Muskingum-Cunge diffusive-wave-routing scheme. The diffusive wave model closely approximates a dynamic model of a flood wave's speed, shape, and streambed leakage. Because the stream responds more rapidly to disturbances than the aquifer, streambed leakage is calculated at the flood routing time scale in order to properly represent the stream-aquifer coupling. However, both the relative magnitude and timing of aquifer response to a flood wave depend on the strength of this coupling. We find discrepancies in both the flood wave and the streambed leakage when the wave and ground-water motions are evaluated at different time scales. These discrepancies are significant in the case of a strong stream-aquifer coupling, for which equal aquifer and flood-routing time steps may be required. Wave diffusion and bank storage are shown to be comparable in magnitude and should, therefore, be included in stream-aquifer interaction models. Diffusive wave routing more accurately represents wave propagation, bed leakage, and aquifer response if short aquifer time steps are taken, and is preferable to the STREAM module for simulating short time transients. However, the STREAM module is useful for simulating large time frames if accurate modeling of the flood-wave propagation is not required.

Get full access to this article

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

References

1.
Bowen, J. D., Koussis, A. D., and Zimmer, D. T.(1989). “Storm drain design: diffusive flood routing for PCs.”J. Hydr. Engrg., ASCE, 115(8), 1135–1150.
2.
Cooper, H. H. Jr., and Rorabaugh, M. I. (1963). “Changes in ground-water movement and bank storage caused by flood waves in surface streams.”U.S. Geol. Survey Profl. Paper 475-B, Art. 53, U.S. Govt. Printing Ofc., Washington, D.C., B192–B195.
3.
Cunge, J. A.(1969). “On the subject of a flood propagation computation method (Muskingum Method).”J. Hydr. Res., 7(2), 205–230.
4.
de Marsily, G. (1986). Quantitative hydrogeology—groundwater hydrology for engineers . Academic Press, New York, N.Y.
5.
Gill, M. A. (1985). “Bank storage characteristics of a finite aquifer due to sudden rise and fall of river level.”J. Hydro., Vol. 76, 133–142.
6.
Glover, R. E. (1974). Transient ground water hydraulics . Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
7.
Hall, F. R., and Moench, A. F.(1972). “Application of the convolution equation to stream-aquifer relationships.”Water Resour. Res., 8(2), 487–493.
8.
Henderson, F. M. (1966). Open channel flow . Macmillan, New York, N.Y.
9.
Hunt, B.(1990). “An approximation for the bank storage effect.”Water Resour. Res., 26(11), 2769–2775.
10.
Koussis, A. D., Sophocleous, M. A., Perkins, S. P., and Martin, J. L. (1994). “Evaluation of the role of stream-aquifer hydraulics in the administration of water rights and minimum streamflow standards.”Rep., Contribution No. 311, Kansas Water Resour. Res. Inst., Kansas State Univ., Manhattan, Kans.
11.
McDonald, M. G., and Harbaugh, A. W. (1988). “A modular threedimensional finite-difference ground-water flow model.”Water-resources investigations, Book 6, U.S. Geological Survey, Federal Ctr., Denver, Colo.
12.
Pinder, G. F., and Sauer, S. P.(1971). “Numerical simulation of flood wave modification due to bank storage effects.”Water Resour. Res., 7(1), 63–70.
13.
Ponce, V. M., Li, R.-M., and Simons, D. B.(1978). “Applicability of kinematic and diffusion models.”J. Hydr. Div., ASCE, 104(3), 353–360.
14.
Prudic, D. E. (1989). “Documentation of a computer program to simulate stream-aquifer relations.”Open-File Rep. 88-729, U.S. Geological Survey, Denver, Colo.
15.
Schaffranek, R. W., Baltzer, R. A., and Goldberg, D. E. (1981). “A model for simulation of flow in singular and interconnected channels.”Water-resources investigations, Book 7, U.S. Geological Survey, Federal Ctr., Denver, Colo.
16.
Swain, E. D., and Wexler, E. J. (1993). “A coupled surface-water and ground-water flow model for simulation of stream-aquifer interaction.”Open-File Rep. 92-138, U.S. Geological Survey, Denver, Colo.
17.
Zitta, V. L., and Wiggert, J. M.(1971). “Flood routing in channels with bank seepage.”Water Resour. Res., 7(5), 1341–1345.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 122Issue 4April 1996
Pages: 210 - 218

History

Published online: Apr 1, 1996
Published in print: Apr 1996

Permissions

Request permissions for this article.

Authors

Affiliations

Samuel P. Perkins
Res. Asst., Kansas Geological Survey, Univ. of Kansas, 1930 Constant Ave., Lawrence, KS 66047; formerly, Grad. Res. Asst., Dept. of Civ. Engrg., Univ. of Kansas, Lawrence, KS 66045.
Antonis D. Koussis, Member, ASCE
Res., Nat. Observatory of Athens, Inst. of Geodynamics, Athens, Greece; formerly, Prof., Dept. of Geology, Univ. of Kansas, Lawrence, KS 66045.

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