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Stagnitti et al. 2004
Stagnitti, F., Li, L., Parlange, J.-Y., Brutsaert, W., Lockington, D.A., Steenhuis, T.S., Parlange, M.B., Barry, D.A. and Hogarth, W.L. (2004). Drying front in a sloping aquifer: Nonlinear effects. Water Resources Research 40: doi: 10.1029/2003WR002255. issn: 0043-1397.

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 ttc, 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.

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Abstract

Keywords
Hydrology, Groundwater hydrology, Hydrology, Groundwater transport, drying front, nonlinear effects, sloping aquifer
Journal
Water Resources Research
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Publisher
American Geophysical Union
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