Analytical determination of seeping soil slopes of a constant exit gradient. (English) Zbl 1003.30030

Soil slopes satisfying the condition of a constant exit gradient and the seepage face condition are studied by the methods of complex analysis. For a given slope \(y=F(x)\) the exit gradient \(|\nabla h|_F \) is determined from the flow problem. In this paper the authors consider the case when \(|\nabla h|_F =J/k\) along the slope, where \(J\) is a given critical velocity and \(h\) is the hydraulic head. In that case the exit gradient is a constant along \(F(x)\).


30E25 Boundary value problems in the complex plane
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