Transient Seepage Flow toward Two Parallel Drains

by Imre Gyuk, Asst. Prof.; Dept. of Physics, Univ. of Wisconsin, Milwaukee, WI,
Gabor M. Karadi, Prof. of Civ. Engrg.; Dept. of Mech., Univ. of Wisconsin, Milwaukee, WI,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 1, Pg. 211-226

Document Type: Journal Paper


The method of conformal mapping is applied to the analysis of transient seepage flow toward two parallel drains in a semi-infinite aquifer taking into consideration the nonlinear boundary condition on the free surface. The mapping function is expressed as the power function of time and the seepage domain is mapped onto a domain of an auxillary complex variable in such a manner that the free surface will always remain the real axis. The solution is first obtained to a single drain by neglecting the terms of the fourth on higher order. Then the solution is extended to two parallel drains by using the method of images. Calculations are carried out for different ratios of drain depth to drain spacing using various drain diameter to drain depth ratios.

Subject Headings: Transient flow | Mapping | Seepage | Drainage | Free surfaces | Free flow | Aquifers | Nonlinear analysis

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