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Seepage flow in unconfined aquifers

Published online by Cambridge University Press:  29 March 2006

J. A. Shercliff
Affiliation:
Department of Engineering, University of Warwick, Coventry, England

Abstract

The paper concerns one- and two-dimensional models of steady seepage flow in unconfined aquifers and the relationship between them. The first part gives a new proof of Charnyi's result that one- and two-dimensional theory yield the same value for the flow rate in a horizontal aquifer or porous bed between vertical ends and shows the extent to which it can be generalized to non-uniform or anisotropic media. The second part solves the highly two-dimensional problem of flow from a line source (line of springs) in an otherwise impermeable, sloping stratum and compares the result with the predictions of a one-dimensional Dupuit–Pavlovsky approach. Confirmatory experiments using the Hele Shaw analogue of seepage flow are also reported.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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References

Charnyi, I. A. 1951 Doklady, 79 (6).
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Muskat, M. 1937 The Flow of Homogeneous Fluids through Porous Media. Ann Arbor, Michigan: J. W. Edwards Inc.
Pavlovsky, N. N. 1956 Collected Works. Leningrad: Akad. Nauk.
Polubarinova-Kochina, P. Ya. 1962 Theory of Groundwater Movement (trans. J. M. Roger de Wiest). Princeton University Press.