Review of Stream Depletion Solutions, Behavior, and Calculations
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Hydrologic Engineering
Volume 19, Issue 1
Abstract
A review is given of some currently available solutions for the calculation of stream depletion from pumped aquifers. A brief history is given of the development of analytical and semianalytical models. A solution published in 2003, which is also capable of duplicating many previously published solutions, is described in detail. In this solution, the stream partially penetrates a Boulton delayed-yield aquifer and is shown herein to apply when different segments of a stream may be either gaining or losing water to the pumped aquifer. Excel computational tools freely available to practitioners are referenced and used in an illustration for the calculation of the 2003 solution, and the general behavior of the solution is discussed. Generalizations and additional solutions are discussed for streams and aquifers with finite width, for systems containing several aquifers and for abstraction wells that are either horizontal or slanted. The review concludes with a very brief discussion of the advantages and disadvantages of using numerical solutions for modeling stream-depletion behavior.
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Acknowledgments
The writer is indebted to David Scott of Environment Canterbury, Hilary Lough of Pattle Delamore Partners and Julian Weir of Aqualinc Research for reviewing portions of this manuscript and to four anonymous reviewers for constructive comments that significantly improved this paper.
References
Boulton, N. S. (1963). “Analysis of data from non-equilibrium pumping tests allowing for delayed yield from storage.” Proc. Inst. Civ. Eng., 26(6693), 469–482.
Boulton, N. S. (1973). “The influence of delayed drainage on data from pumping tests in unconfined aquifers.” J. Hydrol., 19(2), 157–169.
Butler, J. J., 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.
Clausen, B., Young, A. R., and Gustard, A. (1993). “Modeling the impact of groundwater abstraction on low river flows.” IAHS Publication No. 221, 77–85.
Cooley, R. L., and Case, C. M. (1973). “Effect of a water table aquitard on drawdown in an underlying pumped aquifer.” Water Resour. Res., 9(2), 434–447.
Environment Canterbury. (2000). “Guidelines for the assessment of groundwater abstraction effects on stream flow.”, Canterbury.
Fox, G. A. (2004). “Evaluation of a stream aquifer analysis test using analytical solutions and field data.” J. Am. Water Resour. Assoc., 40(3), 755–763.
Glover, R. E., and Balmer, C. G. (1954). “River depletion from pumping a well near a river.” Trans. Am. Geophys. Union, 35(3), 468–470.
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). “Non-steady radial flow in an infinite leaky aquifer.” Trans. Am. Geophys. Union, 36(1), 95–100.
Hunt, B. (1999). “Unsteady stream depletion from ground water pumping.” Ground Water, 37(1), 98–102.
Hunt, B. (2003). “Unsteady stream depletion when pumping from semiconfined aquifer.” J. Hydrol. Eng., 12–19.
Hunt, B. (2005). “Visual basic programs for spreadsheet analysis.” Ground Water, 43(1), 138–141.
Hunt, B. (2008). “Stream depletion for streams and aquifers with finite widths.” J. Hydrol. Eng., 80–89.
Hunt, B. (2009). “Stream depletion in a two-layer leaky aquifer system.” J. Hydrol. Eng., 895–903.
Hunt, B., and Scott, D. (2005). “Extension of Hantush and Boulton Solutions.” J. Hydrol. Eng., 223–236.
Hunt, B., and Scott, D. (2007). “Flow to a well in a two-aquifer system.” J. Hydrol. Eng., 146–155.
Hunt, B., Weir, J. 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 pumping test data from a heterogeneous stream-aquifer system (a case study from the Great Plains, USA).” J. Hydrol., 281(1–2), 96–114.
Lough, H. K. (2004). “The evaluation of hydrological parameters for stream depletion assessments.” M.E. thesis. Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Lough, H. K., and Hunt, B. (2006). “Pumping test evaluation of stream depletion parameters.” Ground Water, 44(4), 540–546.
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.
Sanders, R. (1996). “Effects of groundwater abstractions on surface water flows in the lower Waimakariri River and its tributaries.”, Canterbury Regional Council, Christchurch, New Zealand.
Scott, D. M., and Callander, P. (1995). “Effect of groundwater abstractions on surface water flows in the Opihi River catchment.”, Canterbury Regional Council, Christchurch, New Zealand.
Sophocleous, M., Koussis, A., Martin, J. L., and Perkins, S. P. (1995). “Evaluation of simplified stream-aquifer depletion models for water rights administration.” Ground Water, 33(4), 597–609.
Spalding, C. P., and Khaleel, R. (1991). “An evaluation of analytical solutions to estimate drawdowns and stream depletions by wells.” Water Resour. Res., 27(4), 597–609.
Theis, C. V. (1941). “The effect of a well on the flow of a nearby stream.” Trans. Am. Geophys. Union, 22(3), 734–738.
Tsou, P. R., Feng, Z. Y., Yeh, H. D., and Huang, C. S. (2010). “Stream depletion rate with horizontal or slanted wells in confined aquifers near a stream.” Hydrol. Earth Syst. Sci., 14(8), 1477–1485.
van Lanen, H. A. J., and van de Weerd, B. (1993). “Groundwater flow from a Cretaceous Chalk plateau: Impact of groundwater recharge and abstraction.” IAHS Publication No. 221, 87–875.
Wallace, R. B., Darma, Y., and Annable, M. D. (1990). “Stream depletion by cyclic pumping of wells.” Water Resour. Res., 26(6), 1263–1270.
Ward, N. D., and Callander, P. (2010). “Distribution of stream depletion.” J. Hydraul. Eng., 170–174.
Ward, N. D., and Lough, H. (2011). “Stream depletion from pumping a semiconfined aquifer in a two-layer leaky aquifer system.” J. Hydrol. Eng., 955–959.
Weir, J. J. (1999). “Stream depletion from groundwater pumping.” M.E. thesis. Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
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© 2014 American Society of Civil Engineers.
History
Received: Jul 5, 2012
Accepted: Dec 13, 2012
Published online: Dec 15, 2012
Discussion open until: May 15, 2013
Published in print: Jan 1, 2014
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