Analytic element solutions for seepage towards topographic depressions

A. R. Kacimov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Point and line singularities are superposed with incident unidirectional saturated and unsaturated flows. The resulting isobars of 3D Laplacian or advective dispersion equation fields model either seepage face dimples and rills on a tilted hillslope or an undulated top of the vadose zone above a stagnant water table. The reconstructed shapes of isobars are conchoidal, i.e. convex-concave. All flow characteristics (drawdowns, velocity and Kirchhoff potential distributions, dimple sizes) are calculated either explicitly or by elementary computer algebra routines.

Original languageEnglish
Pages (from-to)262-275
Number of pages14
JournalJournal of Hydrology
Issue number1-4
Publication statusPublished - Mar 1 2006


  • Analytic solutions
  • Evaporation
  • Groundwater
  • Moisture flow
  • Seepage erosion

ASJC Scopus subject areas

  • Water Science and Technology


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