Drying front in a sloping aquifer: Nonlinear effects
Contribuinte(s) |
M .O. Andreae |
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Data(s) |
01/01/2004
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Resumo |
[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. |
Identificador | |
Idioma(s) |
eng |
Publicador |
American Geophysical Union |
Palavras-Chave | #Limnology #Water Resources #Drying Front #Nonlinear Effects #Sloping Aquifer #Boussinesq Equation #Blasius Equation #Sudden Drawdown #Hillslope #Drainage #Environmental Sciences #C1 #260501 Groundwater Hydrology #770402 Land and water management |
Tipo |
Journal Article |