Strip-focused phreatic surface flow driven by evaporation: Analytical solution by the Riesenkampf function

A. R. Kacimov, Yu V. Obnosov

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8 Citations (Scopus)

Abstract

Steady free-surface seepage in a homogeneous porous aquifer is studied by a conformal mapping of the inversed hodograph (angle) onto the domain in the Riesenkampf plane (slanted-face half-strip or trapezium). Seepage from the water table is caused by evaporation uniformly distributed with a horizontal coordinate. This distributed sink forms a regional trough on the phreatic surface with groundwater moving from the flanks to the trough center on the regional scale and from the water table to the soil surface locally. The free surfaces, streamlines of marked particles, travel times, and Darcian velocity are presented.

Original languageEnglish
Pages (from-to)1565-1571
Number of pages7
JournalAdvances in Water Resources
Volume29
Issue number10
DOIs
Publication statusPublished - Oct 2006

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Keywords

  • Analytical solution
  • Conformal mappings
  • Seepage
  • Unconfined aquifer

ASJC Scopus subject areas

  • Earth-Surface Processes

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