||Seepage Face Effects in Unsteady Ground-Water Flow.
Murra, Willard A. ;
||Wisconsin Univ., Madison. Water Resources Center.
||DI-14-01-0001-1960; OWRR-B-021-WIS; 08660,; B-021-WIS(1)
( Ground water ;
Fluid flow) ;
Fourier analysis ;
Mathematical models ;
Mathematical prediction ;
Water table ;
Potential theory ;
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The study deals with the effect of the seepage face on the location of the free surface in a two-dimensional unconfined aquifer adjacent to a ditch or stream. The analysis is restricted to considering flow only in the saturated region below the water table; unsaturated flow effects are neglected. Theoretical solutions were obtained for steady state conditions and for the transient case of instantaneous drawdown by using potential theory and standard Fourier methods. The steady state solution is a corrected form of that presented by Kirkham (1964), which was found to contain a flaw. The transient solution involves a simple extension of the steady state solution and reduces to the latter for large time. Both solutions are presented in infinite series form. (Author)