Calculation of free seepage from watercourses with curvilinear profiles

A strict hydromechanical solution is given to the problem of free seepage from watercourses (rivers, canals, water bodies, industrial and agricultural ponds) for a family of smooth and complex curvilinear profiles with the use of conformal mappings and with the representation of the flow domain as the basis of the water-course profile in the Zhukovski complex domain. All necessary parameters of the flow are determined, including the outline of the curvilinear profile of the watercourse, depression curves and constant pressure lines (isobars), seepage flow, etc. For the particular case of a circular base of the watercourse profile, the results of obtained solution coincide with the known exact solutions derived by V.V. Vedernikov and N.N. Pavlovskii. Specific numerical examples of calculations for watercourses with different relative widths are given.