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 journalArticlepeer-review

15 Citations (Scopus)


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
Issue number10
Publication statusPublished - 1996
Externally publishedYes


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

ASJC Scopus subject areas

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


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