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Phreatic surface flow from a near-reservoir saturated tongue

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dc.contributor.author Kacimov A.
dc.contributor.author Obnosov Y.
dc.contributor.author Perret J.
dc.date.accessioned 2018-09-17T20:22:17Z
dc.date.available 2018-09-17T20:22:17Z
dc.date.issued 2004
dc.identifier.issn 0022-1694
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/133411
dc.description.abstract Steady and transient 2D Darcian flows in a saturated 'tongue' adjacent to a reservoir are studied analytically. First, a stable tongue receiving water from an inclined equipotential reservoir bed and losing moisture through a phreatic surface is considered. The hydraulic head is governed by the Laplace equation and the complex potential and complex coordinate are determined explicitly by the Polubarinova-Kochina method at an arbitrary bank slopes and evapotranspiration rates. In a particular case of a vertical slope, the tongue becomes a right-angled triangle extending into the layer for the same distance as the Dupuit-Forchheimer model predicts. Second, a saturated Dupuit-Forchheimer flow in the tongue is analyzed under the assumption of evaporation exponentially and linearly decreasing with the depth of a phreatic surface. The corresponding non-linear ordinary differential equation is integrated twice and predicts the length of the tongue as a function of the reservoir water level. Third, a transient regime is modelled by the Boussinesq equation with evaporation uniform in space, but varying cyclostationary with time. A straight-line water table translating upward-downward is found to be located always below the water table for steady regimes with an average evaporation. © 2004 Elsevier B.V. All rights reserved.
dc.relation.ispartofseries Journal of Hydrology
dc.subject Analytic functions
dc.subject Boussinesq equation
dc.subject Dupuit-Forchheimer model
dc.subject Groundwater
dc.subject Hodograph
dc.subject Phreatic surface
dc.title Phreatic surface flow from a near-reservoir saturated tongue
dc.type Article
dc.relation.ispartofseries-issue 1-4
dc.relation.ispartofseries-volume 296
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 271
dc.source.id SCOPUS00221694-2004-296-14-SID3242737492


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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