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Drying front in a sloping aquifier: nonlinear effects

Stagnitti, Frank, Li, Ling, Parlange, J.-Yves, Brutsaert, Wilfried, Lockington, David A., Steenhuis, Tammo S., Parlange, Marc B., Barry, D. A. and Hogarth, William L. 2004, Drying front in a sloping aquifier: nonlinear effects, Water resources research, vol. 40, pp. 1-6.

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Title Drying front in a sloping aquifier: nonlinear effects
Author(s) Stagnitti, Frank
Li, Ling
Parlange, J.-Yves
Brutsaert, Wilfried
Lockington, David A.
Steenhuis, Tammo S.
Parlange, Marc B.
Barry, D. A.
Hogarth, William L.
Journal name Water resources research
Volume number 40
Start page 1
End page 6
Publisher American Geophysical Union
Place of publication Washington, D.C., United States
Publication date 2004
ISSN 0043-1397
1944-7973
Keyword(s) hydrology
groundwater hydrology
groundwater transport
Summary 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 ≥ 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.
Language eng
Field of Research 050305 Soil Physics
Socio Economic Objective 970105 Expanding Knowledge in the Environmental Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2004, American Geophysical Union
Persistent URL http://hdl.handle.net/10536/DRO/DU:30002714

Document type: Journal Article
Collections: School of Ecology and Environment
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.