Canal Seepage with Boundary at Finite Depth

Closed-form solution for the problem of seepage from channels in homogeneous and isotropic material extending up to finite depth with drainages at a finite distance from the canal and at finite depth has been obtained by the use of conformal mapping. Equations for seepage discharge and the shape of the phreatic line are given. The analysis indicates that the phreatic surface rises with decrease in the depth of impervious layer, and increase in the width of the channel and the drainage distance. For larger values of T/n, the phreatic surface is seen to curve continuously and is S-shaped. With a decrease in the value of T/n, the curvature of the phreatic surface is reduced. It is also seen that the seepage discharge increases with an increase in the depth of the pervious stratum and approaches the value for the case of a canal with depth of pervious stratum extending to infinity.