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

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14 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 languageEnglish
Pages (from-to)715-723
Number of pages9
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume20
Issue number10
Publication statusPublished - 1996

Fingerprint

Conformal mapping
Embankment dams
earth dam
rainstorm
Seepage
Hinges
Bearing capacity
bearing capacity
flow pattern
Flow patterns
Dams
Boundary value problems
seepage
recharge
Gravitation
boundary condition
dam
Flow rate
Boundary conditions
gravity

Keywords

  • Boundary value problems
  • Conformal mapping
  • Hydraulic gradient
  • Recharge-discharge
  • Seepage

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Computational Mechanics
  • Mechanics of Materials
  • Materials Science(all)

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.

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