Watercourses in the form of channels, storages, reservoirs, etc., often have curvilinear profiles, and filtration in them under the corresponding conditions can be characterized as free. This problem in application to symmetric watercourses with the central thalweg was considered in the hydromechanical formulation by using the semi-inverse method in [1-5]. In this case, Vedernikov and Pavlovskii assumed the initial ring base of the profile of a watercourse in the plane of the Joukowski complex [2-5].
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