Phreatic surface flow from a near-reservoir saturated tongue

A. R. Kacimov, Yu V. Obnosov, J. Perret

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Steady and transient 2D Darcian flows in a saturated 'tongue' adjacent to a reservoir are studied analytically. First, a stable tongue receiving water from an inclined equipotential reservoir bed and losing moisture through a phreatic surface is considered. The hydraulic head is governed by the Laplace equation and the complex potential and complex coordinate are determined explicitly by the Polubarinova-Kochina method at an arbitrary bank slopes and evapotranspiration rates. In a particular case of a vertical slope, the tongue becomes a right-angled triangle extending into the layer for the same distance as the Dupuit-Forchheimer model predicts. Second, a saturated Dupuit-Forchheimer flow in the tongue is analyzed under the assumption of evaporation exponentially and linearly decreasing with the depth of a phreatic surface. The corresponding non-linear ordinary differential equation is integrated twice and predicts the length of the tongue as a function of the reservoir water level. Third, a transient regime is modelled by the Boussinesq equation with evaporation uniform in space, but varying cyclostationary with time. A straight-line water table translating upward-downward is found to be located always below the water table for steady regimes with an average evaporation.

Original languageEnglish
Pages (from-to)271-281
Number of pages11
JournalJournal of Hydrology
Volume296
Issue number1-4
DOIs
Publication statusPublished - Aug 20 2004

Fingerprint

overland flow
tongue
evaporation
water table
Boussinesq equation
hydraulic head
evapotranspiration
water level
saturated flow
moisture
surface water level
fluid mechanics
water

Keywords

  • Analytic functions
  • Boussinesq equation
  • Dupuit-Forchheimer model
  • Groundwater
  • Hodograph
  • Phreatic surface

ASJC Scopus subject areas

  • Soil Science
  • Earth-Surface Processes

Cite this

Phreatic surface flow from a near-reservoir saturated tongue. / Kacimov, A. R.; Obnosov, Yu V.; Perret, J.

In: Journal of Hydrology, Vol. 296, No. 1-4, 20.08.2004, p. 271-281.

Research output: Contribution to journalArticle

Kacimov, A. R. ; Obnosov, Yu V. ; Perret, J. / Phreatic surface flow from a near-reservoir saturated tongue. In: Journal of Hydrology. 2004 ; Vol. 296, No. 1-4. pp. 271-281.
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