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Second-order shallow flow equation for anisotropic aquifers

AuthorsCastro-Orgaz, Óscar ; Giráldez, Juan Vicente ; Mateos, Luciano
KeywordsUnconfined flow
Shallow flows
Second-order theory
Groundwater hydraulics
Issue Date25-Sep-2013
CitationJournal of Hydrology 501: 183-185 (2013)
AbstractTransient unconfined ground-water flow is described using the well-known Boussinesq equation, in which the Dupuit assumptions are implicit. When these assumptions fail, one must recur to the next level of approximation, which is the second-order theory for shallow flow in porous media, developed by Dagan (1967) for isotropic aquifers. When the soil is highly anisotropic Dagan's second-order theory can become invalid. Here we present the generalized second order theory that account for anisotropy. An analytical solution for the second-order theory with anisotropy is presented for the linearized equation that is used to illustrate this effect on the bank storage problem. © 2013 Elsevier B.V.
Identifiersdoi: 10.1016/j.jhydrol.2013.08.011
issn: 0022-1694
Appears in Collections:(IAS) Artículos
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