Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

Anvar R. Kacimov

doi:10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0

Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

Anvar R. Kacimov^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.

Original language	English
Pages (from-to)	715-723
Number of pages	9
Journal	International Journal for Numerical and Analytical Methods in Geomechanics
Volume	20
Issue number	10
DOIs	https://doi.org/10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0
Publication status	Published - 1996
Externally published	Yes

Keywords

Boundary value problems
Conformal mapping
Hydraulic gradient
Recharge-discharge
Seepage

ASJC Scopus subject areas

Computational Mechanics
General Materials Science
Geotechnical Engineering and Engineering Geology
Mechanics of Materials

Access to Document

10.1002/(sici)1096-9853(199610)20:10<715::aid-nag842>3.0.co;2-0

Cite this

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abstract = "Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.",

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AB - Steady two-dimensional gravity-driven seepage in homogeneous porous lumps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exposed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharge distributions, hinge points, gradients along the lump contour as well as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.

KW - Boundary value problems

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KW - Hydraulic gradient

KW - Recharge-discharge

KW - Seepage

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Explicit solutions for seepage infiltrating into a porous earth dam due to precipitation

Abstract

Keywords

ASJC Scopus subject areas

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