TECHNICAL PAPERS
Feb 1, 2008

Stream Depletion by Groundwater Pumping in Leaky Aquifers

This article has a reply.
VIEW THE REPLY
This article has a reply.
VIEW THE REPLY
Publication: Journal of Hydrologic Engineering
Volume 13, Issue 2

Abstract

We present a simple approach to assess stream depletion by groundwater pumping in aquifers with leakage from an underlying source bed. The hydrogeological setting consists of a leaky aquifer that is hydraulically connected to a stream of shallow penetration. Under such conditions, the pumping rate is partially supported by the depletion of an adjacent stream. We quantify this phenomenon by deriving explicit analytical solutions that elucidate the interplay among the streambed, aquifer, aquitard, and well parameters. In particular, our solutions demonstrate how both hydraulic stream-aquifer connection and hydrostratigraphic conditions determine the possible fraction of the pumping rate supplied by the stream depletion. In leaky aquifers, this fraction decreases exponentially with the distance between a stream and a pumping well and is attenuated by a factor that depends on the streambed, aquifer, and aquitard parameters. The balance of pumping rate is supplied from recharge zone of the source bed.

Get full access to this article

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

References

Bouwer, H., and Maddock, T., III. (1997). “Making sense of the interactions between groundwater and streamflow: Lessons for water masters and adjudicators.” River, 6(1), 19–31.
Butler, J. J., Jr., Zhan, X., and Zlotnik, V. A. (2007). “Pumping-induced drawdown and stream depletion in a leaky aquifer system.” Ground Water, 45(1), 178–186.
Butler, J. J., Jr., Zlotnik, V. A., and Tsou, M.-S. (2001). “Drawdown and stream depletion produced by pumping in the vicinity of a partially penetrating stream.” Ground Water, 39(5), 651–659.
Calver, A. (2001). “Riverbed permeabilities: Information from pooled data.” Ground Water, 39(4), 546–553.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Oxford University Press, New York.
Christensen, S. (2000). “On the estimation of stream flow depletion parameters by drawdown analyses.” Ground Water, 38(5), 726–734.
Christensen, S. (2005). “Comment on ‘Sensitivity analysis and determination of streambed leakance and aquifer hydraulic properties’ by X. Chen and X. Chen.” J. Hydrol., 303(1–4), 316–321.
Glover, R. E., and Balmer, G. G. (1954). “River depletion resulting from pumping a well near a river.” Trans., Am. Geophys. Union, 35(3), 468–470.
Guidelines for the Assessment of Groundwater Extraction Effects on Stream Flow, Environment Canterburry, New Zealand (Guidelines). (2001). ⟨http://www.ecan.govt.nz/Plans+and+Reports/Water/Groundwater/Guidelines-groundwater-extraction-effects-2001.htm⟩.
Hantush, M. S. (1955). “Discussion of ‘River depletion resulting from pumping a well near a river,’ by Robert E. Glover and Glenn G. Balmer.” Trans., Am. Geophys. Union, 36(2), 345–346.
Hantush, M. S. (1964). “Hydraulics of wells.” Advances in hydroscience, V. Chow, ed., Academic, New York, Vol. 1, 281–432.
Hantush, M. S. (1965). “Wells near streams with semipervious beds.” J. Geophys. Res., 70(12), 2829–2838.
Hantush, M. S., and Jacob, C. E. (1955). “Nonsteady radial flow in an infinite leaky aquifers.” Trans., Am. Geophys. Union, 36(1), 95–100.
Hunt, B. (1999). “Unsteady stream depletion from groundwater pumping.” Ground Water, 37(1), 98–102.
Hunt, B. (2003). “Unsteady stream depletion when pumping from semi confined aquifer.” J. Hydrol. Eng., 8, 12–19.
Hunt, B., Weir, J., and Clausen, B. (2001). “A stream depletion field experiment.” Ground Water, 39(2), 283–289.
Jenkins, C. T. (1968). “Techniques for computing rate and volume of stream depletion by wells.” Ground Water, 6(2), 37–46.
Kollet, S. J., and Zlotnik, V. A. (2003). “Stream depletion predictions using data of pumping tests in heterogeneous stream–aquifer system in the Great Plains, USA.” J. Hydrol., 281(1-2), 96–114.
Kollet, S. J., and Zlotnik, V. A. (2005). “Influence of aquifer heterogeneity and return flow on pumping test data interpretation.” J. Hydrol., 300, 267–285.
Kollet, S. J., Zlotnik, V. A., and Woodward, D. (2002). “A field and theoretical study on stream–aquifer interactions under pumping conditions in the Great Plains, Nebraska.” Proc., Am. Water Res. Assoc., July 2002, 29–34.
Nyholm, T., Christensen, S., and Rasmussen, K. R. (2002). “Flow depletion in a small stream caused by ground water abstraction from wells.” Ground Water, 40(4), 425–437.
Nyholm, T., Rasmussen, K. R., and Christensen, S. (2003). “Estimation of stream depletion and uncertainty from discharge measurements in a small alluvial stream.” J. Hydrol., 274(1–4), 129–144.
Ramireddygari, S. R., Sophocleous, M. A., Koelliker, J. K., Perkins, S. P., and Govindaraju, R. S. (2000). “Development and application of comprehensive simulation model to evaluate impacts of watershed structures and irrigation water use on streamflow and groundwater: The case of Wet Walnut Creek Watershed, Kansas.” J. Hydrol., 236(3–4), 223–246.
Sophocleous, M. (1997). “Managing water resources systems: Why ‘safe yield’ is not sustainable.” Ground Water, 35(4), 561.
Sophocleous, M. (2005). “Groundwater recharge and sustainability in the High Plains aquifer in Kansas, USA.” Hydrogeol. J., 13(2), 351–365.
Sophocleous, M., Townsend, M. A., Vogler, L. D., McLain, T. J., Marks, E. T., and Goble, G. R. (1988). “Experimental studies in stream-aquifer interactions along the Arkansas River in Central Kansas—Field testing and analysis.” J. Hydrol., 98, 249–273.
Theis, C. V. (1941). “The effect of a well on the flow of a nearby stream.” EOS Trans. Am. Geophys. Union, 22(3), 734–738.
Winter, C. L., Tartakovsky, D. M., and Guadagnini, A. (2003). “Moment equations for flow in highly heterogeneous porous media.” Surv. Geophys., 24(1), 81–106.
Zappa, G., Bersezio, R., Felletti, F., and Guiducci, M. (2006). “Modeling heterogeneity of gravel-sand, braided stream, alluvial aquifers at the facies scale.” J. Hydrol., 325(1–4), 134–153.
Zlotnik, V. A. (2004). “A concept of maximum stream depletion rate for leaky aquifers in alluvial valleys.” Water Resour. Res., 40, W06507.
Zlotnik, V. A., and Huang, H. (1999). “Effect of shallow penetration and streambed sediments on aquifer response to stream stage fluctuations (analytical model).” Ground Water, 37(4), 599–605.
Zlotnik, V. A., Huang, H., and Butler, J. J. (1999). “Evaluation of stream depletion considering finite stream width, shallow penetration, and properties of streambed sediments.” Proc., Water 99, Joint Congress, Institute of Engineering, Barton ACT, Australia, 221–226.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 13Issue 2February 2008
Pages: 43 - 50

History

Received: Apr 3, 2006
Accepted: Apr 5, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008

Permissions

Request permissions for this article.

Authors

Affiliations

Vitaly A. Zlotnik
Professor, Dept. of Geosciences, Univ. of Nebraska-Lincoln, Lincoln, NE 68588-0340. E-mail: [email protected]
Daniel M. Tartakovsky
Associate Professor, Dept. of Mechanical and Aerospace Engineering, Univ. of California, San Diego, La Jolla, CA 92093. E-mail: [email protected]

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