Steady, two-dimensional flow of ground water to a trench

Anvar Kacimov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


The problem under consideration is a steady ground water inflow to a single trench which drains a water-bearing layer of infinite extent. The equipotential corresponding to the trench outline is determined from the solution for extremum problems. The isoperimetric constraints selected for solution of these problems include cross-sectional area, seepage flow rate and size of a region with a guaranteed head loss. The equations for the required extremals and variable functions are written explicitly in terms of the solution for the Dirichlet problem.

Original languageEnglish
Pages (from-to)71-83
Number of pages13
JournalJournal of Hydrology
Issue number1-4
Publication statusPublished - Oct 1991
Externally publishedYes

ASJC Scopus subject areas

  • Water Science and Technology


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