Seepage from a special class of a curved channel with drainage layer at shallow depth

In the present study an inverse method has been used to obtain an exact solution for seepage from a curved channel passing through a homogeneous isotropic porous medium underlain by a drainage layer at shallow depth whose boundary maps along a circle onto the hodograph plane. The solution involves inverse hodograph and Schwarz‐Christoffel transformation. The solution also includes a set of parametric equations for the shape of the channel contour and loci of phreatic line. Variation in the seepage velocity along the channel contour is presented as well. All these expressions involve improper integrals along with accessory parameters. A particular solution corresponding to the water table below the top of the drainage layer has also been deduced from the general solution.