Water Table Profiles and Discharges for an Inclined Ditch-Drained Aquifer under Temporally Variable Recharge
Publication: Journal of Irrigation and Drainage Engineering
Volume 129, Issue 2
Abstract
This paper presents the solution of the linearized Boussinesq equation for an inclined, ditch-drained aquifer, with a temporally varying recharge rate. Water-table profiles and flow rates into the ditches are calculated. As an initial condition the steady-state profile for a constant recharge rate is used, and the linearized Boussinesq equation is solved for a different recharge rate. Then, at a specified time, the transient water table profile is used as initial condition for the Boussinesq equation with a new recharge rate. The transient solution at a new specified time is then used as the initial condition for the Boussinesq equation with a different recharge rate, and so on. Using the Darcy equation, analytical expressions for the flow rates into the ditches can be obtained. The solution allows the calculation of the transient behavior of the groundwater table and its flow rates due to temporally variable recharge rates.
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References
Arfken, G. B., and Weber, H. J. (1995). Mathematical methods for physicists, Academic, San Diego.
Boussinesq, J.(1877). “Essai sur la théorie des eaux courantes.” Mem. Acad. Sci. Inst. Fra.,23(1), 252–260.
Brutsaert, W.(1994). “The unit response of groundwater outflow from a hillslope.” Water Resour. Res., 30(10), 2759–2763.
Brutsaert, W.(1995). “Reply to comment on ‘The unit response of groundwater outflow from a hillslope’ by Tom Chapman.” Water Resour. Res., 31(9), 2379–2380.
Chapman, T.(1995). “Comment on ‘The unit response of groundwater outflow from a hillslope by Wilfried Brutsaert’. ” Water Resour. Res., 31(9), 2377–2378.
Glover, R. (1974). Transient ground water hydraulics, Water Resources Publications, Colorado State Univ., Fort Collins, Colo.
Krayenhof van de Leur, D. (1958). “A study of non-steady groundwater flow with special reference to a reservoir coefficient.” De Ingenieur, 70, B87–B94.
Singh, R. N., Rai, S. N., and Ramana, D. V.(1991). “Water table fluctuation in a sloping aquifer with transient recharge.” J. Hydrol., 126(3-4), 315–326.
Verhoest, N. E. C., Pauwels, V. R. N., Troch, P. A., and De Troch, F. P.(2001). “Analytical solutions for transient water table heights and outflows from inclined ditch-drained terrains.” J. Irrig. Drain. Eng., 128(6), 358–364.
Verhoest, N. E. C., and Troch, P. A.(2000). “Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer.” Water Resour. Res., 36(3), 793–800.
Zissis, T. S., Teloglou, I. S., and Terzidis, G. A.(2001). “Response of a sloping aquifer to constant replenishment and to stream varying water level.” J. Hydrol., 243, 180–191.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 129 • Issue 2 • April 2003
Pages: 93 - 99
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Nov 29, 2001
Accepted: May 1, 2002
Published online: Mar 14, 2003
Published in print: Apr 2003
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