Stream Multiaquifer Well Interactions
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 131, Issue 5
Abstract
In this paper, unsteady flow into a multiaquifer well due to stream stage changes and varying pumping rate is analyzed. The well is located at such a distance that the radius of influence touches the stream boundary; hence, pumping induces seepage from the stream to the aquifer. The discrete kernel approach, which is based on Duhamel’s principle, has been applied to find the interaction among stream, aquifers, and pumping well for constant as well as varying stream stage. The analytical expression for a damped sinusoidal flood wave passing in a fully penetrating stream has been used for obtaining the aquifer response. By applying image-well theory, the finite aquifer and well system has been transformed into an infinite aquifer and well system. The principle of superposition, which is applicable to a linear system, has been used to analyze the interaction processes among the three components of the system. The interaction of the stream, aquifers, and well with each other are analyzed during pumping, after stoppage of pumping, as well as during passage of a flood wave in the stream.
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References
Abromowitz, M., and Stegun, I. A. (1964). Hand book of mathematical functions, National Bureau of Standards, Washington, D.C., 231,299.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, Oxford University Press, London.
Cooper, H. H., and Papadopulos, I. S. ( 1967). “Drawdown in a well of large diameter.” Water Resour. Res., 3(1), 241–244.
Cooper, H. H., Jr., and Rorabough, M. I. (1963). “Groundwater movement and bank storage due to flood stage in surface streams.” Water Supply Paper 1536-J, U.S. Geological Survey, 343–366.
Hantush, M. S. (1964). “Well hydraulics.” Advances in hydroscience, V. T. Chow, ed., Vol. 1, Academic, New York, 339–340.
Hemker, C. J. (1984). “Steady groundwater flow to wells in leaky multiaquifer systems.” J. Hydrol., 72, 355–374.
Mass, C. (1986). “The use of matrix differential calculus in problems of multiaquifer flow.” J. Hydrol., 99, 43–67.
Mishra, G. C., and Jain, S. K. (1999). “Estimation of Hydraulic diffusivity in stream–aquifer system,” J. Irrig. Drain. Eng., 125(2), 74–81.
Patel, S. C., and Mishra, G. C. (1983). “Analysis of flow to a large diameter well by a discrete kernel approach.” Ground Water, 21(5), 573–576.
Theis, C. V., (1935). “The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage.” Trans., Am. Geophys. Union, 16, 519–524.
Walton, W. C. (1970). Groundwater resources evaluation, McGraw-Hill, New York, 157–158.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 131 • Issue 5 • October 2005
Pages: 433 - 439
Copyright
© 2005 ASCE.
History
Received: Feb 11, 2003
Accepted: Sep 28, 2004
Published online: Oct 1, 2005
Published in print: Oct 2005
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