Analytical solution for transient water table heights and outflows from inclined ditch-drained terrains

Niko E C Verhoest, Valentijn R N Pauwels, Peter A Troch, François P. De Troch

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

This paper presents two analytical solutions of the linearized Boussinesq equation for an inclined aquifer, drained by ditches, subjected to a constant recharge rate. These solutions are based on different initial conditions. First, the transient solution is obtained for an initially fully saturated aquifer. Then, an analytical expression is derived for the steady state solution by allowing time to approach infinity. As this solution represents the groundwater table shape more realistically, this water table profile is used as an initial condition in the derivation of the second analytical solution for the groundwater table height, and the in- and outflow into the ditches. The solutions allow the calculation of the transient behavior of the groundwater table, and its outflow, due to changing percolation rates or water level heights in both ditches.

Original languageEnglish (US)
Pages (from-to)358-364
Number of pages7
JournalJournal of Irrigation and Drainage Engineering
Volume128
Issue number6
DOIs
StatePublished - Nov 2002
Externally publishedYes

Fingerprint

Groundwater
water table
outflow
Aquifers
aquifers
groundwater
Water
aquifer
Boussinesq equation
Water levels
infiltration (hydrology)
surface water level
recharge
inflow
water level
ditch
rate

Keywords

  • Aquifers
  • Boussinesq equations
  • Water table

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Water Science and Technology
  • Civil and Structural Engineering

Cite this

Analytical solution for transient water table heights and outflows from inclined ditch-drained terrains. / Verhoest, Niko E C; Pauwels, Valentijn R N; Troch, Peter A; De Troch, François P.

In: Journal of Irrigation and Drainage Engineering, Vol. 128, No. 6, 11.2002, p. 358-364.

Research output: Contribution to journalArticle

Verhoest, Niko E C ; Pauwels, Valentijn R N ; Troch, Peter A ; De Troch, François P. / Analytical solution for transient water table heights and outflows from inclined ditch-drained terrains. In: Journal of Irrigation and Drainage Engineering. 2002 ; Vol. 128, No. 6. pp. 358-364.
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