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Zbl 1003.30030
Kacimov, A.R.; Obnosov, Yu.V.
Analytical determination of seeping soil slopes of a constant exit gradient. (English)
[J] ZAMM, Z. Angew. Math. Mech. 82, No.6, 363-376 (2002). ISSN 0044-2267; ISSN 1521-4001/e

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 $F(x)$.
[Nikolai K.Karapetyants (Rostov-na-Donu)]

MSC 2000:: *30E25 Boundary value problems, complex analysis

Keywords: slope; stability; analytic functions; conformal mappings; Riemann's problem

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