TECHNICAL PAPERS
Jan 1, 1996

Nonsteady-State Drawdowns in Two Coupled Aquifers

Publication: Journal of Irrigation and Drainage Engineering
Volume 122, Issue 1

Abstract

A nonsteady coupled aquifer solution is developed in which transient and steady-state drawdowns can be calculated in a pumped aquifer and in an overlying unpumped aquifer that is separated from the pumped aquifer by a semipermeable confining bed. The water pumped is from artesian storage in the pumped aquifer and leakage through the overlying confining bed. This leakage is from storage in the water-table aquifer and a reduction in evapotranspiration due to a decline in the water table. As a simplifying assumption, storage in the confining bed is neglected. This solution is different from existing analytical solutions in that steady-state conditions can be reached because a source term representing the evapotranspiration reduction is included in the differential equations that are solved. A Laplace-space solution obtained for the differential equations and boundary conditions is inverted to the time domain using the Stehfest numerical algorithm. The resulting time-dependent solution is an efficient tool for making preliminary estimates and identifying additional data needs. Also, it can be used to verify solutions obtained using more complex analytical and numerical models.

Get full access to this article

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

References

1.
Carslaw, H. S., and Jaeger, J. C. (1973). Conduction of heat in solids. Second Ed., Oxford University, London, England.
2.
Cheng, A. H.-D., and Morohunfola, O. K.(1993). “Multilayered leaky aquifer systems: 1. Pumping well solutions.”Water Resour. Res., 29(8), 2787–2800.
3.
Cheng, A. H.-D., and Ou, K.(1989). “An efficient Laplace transform solution for multiaquifer systems.”Water Resour. Res., 25(4), 742–748.
4.
Hantush, M.(1967). “Flow to wells in aquifers separated by a semipervious layer.”J. Geophysical Res., 72(6), 1709–1720.
5.
Herrera, I.(1970). “Theory of multiple leaky aquifers.”Water Resour. Res., 6(1), 185–193.
6.
Herrera, I. (1976). “A review of the integrodifferential equations approach to leaky aquifer mechanics.”Advances in groundwater hydrology. Z. Saleem, ed., American Water Resources Association, Bethesda, Md., 29–47.
7.
Herrera, I., and Figueroa, G. E.(1969). “A correspondence principle for the theory of leaky aquifers.”Water Resour. Res., 5(4), 900–904.
8.
Huisman, L. (1972). Groundwater recovery. Winchester Press, New York, N.Y.
9.
Hunt, B.(1985). “Flow to a well in a multiaquifer system.”Water Resour. Res., 21(11), 1637–1641.
10.
Kreyszig, E. (1993). Advanced engineering mathematics. John Wiley & Sons, New York, N.Y.
11.
McDonald, M. G., and Harbaugh, A. W. (1988). “Chapter A1: A modular three-dimensional finite-difference ground-water flow model.”Book 6, Techniques of water-resources investigations, U.S. Geological Survey, Washington, D.C.
12.
Miller, J. A. (1986). “Hydrogeologic framework of the Floridian aquifer system in Florida and in parts of Georgia, Alabama, and South Carolina.”Profl. Paper 1403-B, U.S. Geological Survey, Washington, D.C.
13.
Moench, A. F., and Ogata, A.(1981). “A numerical inversion of the Laplace transform solution to radial dispersion in a porous medium.”Water Resour. Res., 17(1), 250–252.
14.
Moench, A. F., and Ogata, A. (1984). “Analysis of constant discharge wells by numerical inversion of Laplace transform solutions.”Water Resources Monograph Series 9, Ground water hydraulics, J. S. Rosenshein and G. D. Bennett, eds., American Geophysical Union, Washington, D.C., 146–170.
15.
Motz, L. H.(1978). “Steady-state drawdowns in coupled aquifers.”J. Hydr. Div., ASCE, 104(7), 1061–1074.
16.
Motz, L. H.(1981). “Well field drawdowns using coupled aquifer model.”J. Ground Water, 19(2), 172–179.
17.
Neuman, S. P., and Witherspoon, P. A.(1969). “Theory of flow in a confined two aquifer system.”Water Resour. Res., 5(4), 803–816.
18.
Polubarinova-Kochina, P. Y. (1962). Theory of ground-water movement, R. J. M. DeWiest, Translator, Princeton University Press, Princeton, N.J., 385–390.
19.
Stehfest, H. (1970). Numerical inversion of Laplace transforms.”Communications of the ACM, 13(1), 47–49.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 122Issue 1January 1996
Pages: 19 - 23

History

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

Permissions

Request permissions for this article.

Authors

Affiliations

Louis H. Motz
Assoc. Prof., Dept. of Civ. Engrg., 345 Weil Hall, Univ. of Florida, Gainesville, FL 32611.

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