Drying front in a sloping aquifer: Nonlinear effects

Frank Stagnitti, Ling Li, Jean‐Yves ‐Y Parlange, Wilfried Brutsaert, David Anthony Lockington, Tammo S. Steenhuis, Marc B. Parlange, David Andrew Barry, William L. Hogarth

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19 Citations (Scopus)

Abstract

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 = tc remains fixed at this point for all times t > tc 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 xf at which h is zero for times t ≥ tc, 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.

Original languageEnglish
JournalWater Resources Research
Volume40
Issue number4
Publication statusPublished - Apr 2004
Externally publishedYes

Keywords

  • Drying front
  • Nonlinear effects
  • Sloping aquifer

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