Second-order shallow flow equation for anisotropic aquifers

Transient 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.

Bibliographic Details

Main Authors:	Castro-Orgaz, Óscar, Giráldez, Juan Vicente, Mateos, Luciano
Format:	artículo biblioteca
Language:	English
Published:	Elsevier 2013-09-25
Subjects:	Unconfined flow, Shallow flows, Second-order theory, Groundwater hydraulics,
Online Access:	http://hdl.handle.net/10261/91882
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