Maximization of Water Storage in Backfilled and Lined Channels and Dimples Subject to Evaporation and Leakage
Publication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 1
Abstract
A channel or axisymmetric dimple filled with a coarse porous material and aimed at a temporary storage of infiltrated water as a perched water table aquifer is studied. The bottom shape is varied based on the criterion of maximal water storage after a certain period of drainage and evaporation. Leakage into the vadose zone through a thin liner occurs with a specific discharge proportional to the pressure drop across the liner. Evaporation through a horizontal shrinking water table is spatially uniform. An ordinary differential equation, which follows from the mass balance condition, is solved either explicitly or numerically. The class of triangular, polynomial, and conical sections is studied. The shape of maximal water retention is calculated for a given initial stored water volume or water table width, evaporation intensity, liner thickness and conductivity, vadose zone pressure beneath the liner, and selected time interval between two sequential infiltration events.
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Acknowledgments
Helpful comments and criticism by three anonymous referees are highly appreciated.
References
Al-Muttair, F. F., Sendil, U., and Al-Turbak, A. S. (1994). “Management of recharge dams in Saudi Arabia.” J. Water Resour. Plann. Manage., 120(6), 749–763.
Al-Turbak, A. S. (2006). “Artificial recharge: Saudi experience.” Proc., Regional Symposium on Artificial Recharge and Water Treatment for Sustainable Development of Groundwater Aquifers, Muscat, Sultanate of Oman, December 12–13.
Alexander, E. C., and Nieber, J. (1994). “A field tracer test method for large soil samples.” Minnesota Ground Water Association Newsletter, April.
Bejan, A., and Lorente, S. (2006). “Constructal theory of generation of configuration in nature and engineering.” J. Appl. Phys., 100, 041301.
Cedergren, H. R. (1989). Seepage, drainage, and flow nets, Wiley, New York.
Fox, G., and Durnford, D. S. (2003). “Unsaturated hyporheic zone flow in stream-aquifer conjunctive systems.” Adv. Water Resour., 26, 989–1000.
Fox, G., and Gordji, L. (2007). “Consideration for unsaturated flow beneath a streambed during alluvial well depletion.” J. Hydrol. Eng., 12(2), 139–145.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice-Hall, Englewood Cliffs, N.J.
Haimerl, G. (2004). “Groundwater recharge in Wadi channels downstream of dams.” Berichte des Lehrstuhls und der Versuchsanstalt fur Wassserbau und Wasserwirtschaft, Technische Universitat Munchen.
Kacimov, A. R. (1992). “Seepage optimization for a trapezoidal channel.” J. Irrig. Drain. Eng., 118(4), 520–526.
Kacimov, A. R. (2003). “Unsaturated quasi-linear flow analysis in V-shaped domains.” J. Hydrol., 279, 70–82.
Kacimov, A. R., Obnosov, Y. V., and Perret, J. (2004). “Phreatic surface from a near-reservoir saturated tongue.” J. Hydrol., 296, 271–281.
Miyazaki, T. (1993). Water flow in soils, Dekker, New York.
Osman, Y. Z., and Bruen, M. P. (2002). “Modelling stream-aquifer seepage in an alluvial aquifer: An improved loosing-stream package for MODFLOW.” J. Hydrol., 264(1–4), 69–86.
Pacey, A., and Cullis, A. (1986). Rainwater harvesting: The collection of rainfall and run-off in rural areas, Intermediate Technology, London.
Polubarinova-Kochina, P. Y. (1977). Theory of ground-water movement, Nauka, Moscow (in Russian).
Prathapar, S., Perret, J., and Seckler, D. (2004). “A new approach to bypass silt deposition in recharge dams.” Proc., Regional Workshop on Management of Aquifer Recharge and Water Harvesting in Arid and Semi-arid Regions of Asia, Yazd, Iran, 69–79.
Sherif, M., et al. (2006). “Geoelectrical and hydrogeochemical studies for delineating seawater intrusion in the outlet of Wadi Ham, UAE.” Environ. Geol., 49(4), 536–551.
Strack, O. D. L. (1989). Groundwater mechanics, Prentice-Hall, Englewood Cliffs, N.J.
Todd, D. K. (1980). Groundwater hydrology, Wiley, New York.
Wolfram, S. (1991). Mathematica. A system for doing mathematics by computer, Addison-Wesley, Redwood City, Calif.
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© 2008 ASCE.
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Received: Sep 6, 2006
Accepted: May 23, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008
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