Determination of the shape of the downstream slope of an earth-fill dam from the seepage strength conditions at the face
type: Item
instance of: scholarly article
title: Determination of the shape of the downstream slope of an earth-fill dam from the seepage strength conditions at the face
zbMATH Open document ID: 0648.76061
DOI: 10.1007/BF01051922
author: N. B. Il'inskij
author: N. D. Yakimov
published in: Fluid Dynamics
publication date: 1987-01-01T00:00:00Z
review text: Inverse boundary-value problems of determining the slope of an earth-fill dam (or its core) for which the local seepage strength conditions are exactly satisfied over the entire face, with no unnecessary margin, are formulated. Variants of these conditions are examined for cases of suffosion (undermining), local slip and contact suffosion. The shape of the boundary of the region in the velocity hodograph plane is established and the possibility of using it to construct a solution is demonstrated. Analytical and numerical methods of solution are proposed and justified. For a number of special cases solutions are obtained in explicit form and the results of numerical calculations are presented.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 86A99
zbMATH DE Number: 4059048
zbMATH Keywords: Inverse boundary-value problems
zbMATH Keywords: earth-fill dam
zbMATH Keywords: local seepage strength
zbMATH Keywords: local slip
zbMATH Keywords: contact suffosion
zbMATH Keywords: velocity hodograph plane
zbMATH Keywords: numerical methods
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01051922
OpenAlex ID: W1996499303
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description: scientific article; zbMATH DE number 4059048