Drying front in a sloping aquifer: Nonlinear effects

Stagnitti, F, Li, L, Parlange, JY, Brutsaert, W, Lockington, DA, Steenhuis, TS, Parlange, MB, Barry, DA and Hogarth, WL (2004) Drying front in a sloping aquifer: Nonlinear effects. Water Resources Research, 40 4: . doi:10.1029/2003WR002255

Author Stagnitti, F
Li, L
Parlange, JY
Brutsaert, W
Lockington, DA
Steenhuis, TS
Parlange, MB
Barry, DA
Hogarth, WL
Title Drying front in a sloping aquifer: Nonlinear effects
Journal name Water Resources Research   Check publisher's open access policy
ISSN 0043-1397
Publication date 2004
Sub-type Article (original research)
DOI 10.1029/2003WR002255
Volume 40
Issue 4
Total pages 6
Editor M .O. Andreae
Place of publication USA
Publisher American Geophysical Union
Collection year 2004
Language eng
Subject C1
260501 Groundwater Hydrology
770402 Land and water management
Abstract [1] The profiles for the water table height h(x, t) in a shallow sloping aquifer are reexamined with a solution of the nonlinear Boussinesq equation. We demonstrate that the previous anomaly first reported by Brutsaert [1994] that the point at which the water table h first becomes zero at x = L at time t = t(c) remains fixed at this point for all times t > t(c) is actually a result of the linearization of the Boussinesq equation and not, as previously suggested [Brutsaert, 1994; Verhoest and Troch, 2000], a result of the Dupuit assumption. Rather, by examination of the nonlinear Boussinesq equation the drying front, i.e., the point x(f) at which h is zero for times t greater than or equal to t(c), actually recedes downslope as physically expected. This points out that the linear Boussinesq equation should be used carefully when a zero depth is obtained as the concept of an average'' depth loses meaning at that time.
Keyword Limnology
Water Resources
Drying Front
Nonlinear Effects
Sloping Aquifer
Boussinesq Equation
Blasius Equation
Sudden Drawdown
Environmental Sciences
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 05:02:45 EST