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.
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Format: | artículo biblioteca |
Language: | English |
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Elsevier
2013-09-25
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Subjects: | Unconfined flow, Shallow flows, Second-order theory, Groundwater hydraulics, |
Online Access: | http://hdl.handle.net/10261/91882 |
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dig-ias-es-10261-918822018-08-02T12:10:10Z Second-order shallow flow equation for anisotropic aquifers Castro-Orgaz, Óscar Giráldez, Juan Vicente Mateos, Luciano Unconfined flow Shallow flows Second-order theory Groundwater hydraulics 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. This research was supported by the Consejería de Educación, Ciencia y Empleo of the Junta de Andalucia, Spain through the Research Project P09-AGR-4782. Peer Reviewed 2014-02-18T07:54:08Z 2014-02-18T07:54:08Z 2013-09-25 2014-02-18T07:54:08Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1016/j.jhydrol.2013.08.011 issn: 0022-1694 Journal of Hydrology 501: 183-185 (2013) http://hdl.handle.net/10261/91882 10.1016/j.jhydrol.2013.08.011 en none Elsevier |
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Unconfined flow Shallow flows Second-order theory Groundwater hydraulics Unconfined flow Shallow flows Second-order theory Groundwater hydraulics |
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Unconfined flow Shallow flows Second-order theory Groundwater hydraulics Unconfined flow Shallow flows Second-order theory Groundwater hydraulics Castro-Orgaz, Óscar Giráldez, Juan Vicente Mateos, Luciano Second-order shallow flow equation for anisotropic aquifers |
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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. |
format |
artículo |
topic_facet |
Unconfined flow Shallow flows Second-order theory Groundwater hydraulics |
author |
Castro-Orgaz, Óscar Giráldez, Juan Vicente Mateos, Luciano |
author_facet |
Castro-Orgaz, Óscar Giráldez, Juan Vicente Mateos, Luciano |
author_sort |
Castro-Orgaz, Óscar |
title |
Second-order shallow flow equation for anisotropic aquifers |
title_short |
Second-order shallow flow equation for anisotropic aquifers |
title_full |
Second-order shallow flow equation for anisotropic aquifers |
title_fullStr |
Second-order shallow flow equation for anisotropic aquifers |
title_full_unstemmed |
Second-order shallow flow equation for anisotropic aquifers |
title_sort |
second-order shallow flow equation for anisotropic aquifers |
publisher |
Elsevier |
publishDate |
2013-09-25 |
url |
http://hdl.handle.net/10261/91882 |
work_keys_str_mv |
AT castroorgazoscar secondordershallowflowequationforanisotropicaquifers AT giraldezjuanvicente secondordershallowflowequationforanisotropicaquifers AT mateosluciano secondordershallowflowequationforanisotropicaquifers |
_version_ |
1777663012760453120 |