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

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17 Citations (Scopus)

Abstract

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
Volume127
Issue number1-4
DOIs
Publication statusPublished - 1991

ASJC Scopus subject areas

  • Soil Science
  • Earth-Surface Processes

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