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Analytical solution to a sea-water intrusion problem with a fresh water zone tapering to a triple point

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dc.contributor.author Kacimov A.
dc.contributor.author Obnosov Y.
dc.contributor.author Sherif M.
dc.contributor.author Perret J.
dc.date.accessioned 2018-09-18T20:05:01Z
dc.date.available 2018-09-18T20:05:01Z
dc.date.issued 2006
dc.identifier.issn 0022-0833
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/136338
dc.description.abstract A new explicit analytical solution is obtained to a steady-state abrupt interface problem concerning sea-water intrusion into a coastal unconfined homogeneous aquifer with a horizontal impermeable bed and uniformly distributed losses along a phreatic surface. Two free surfaces (encroachment tongue and groundwater table) intersect with a horizontal water table of the resting sea water propagated inland. In the hodograph plane the image of the physical domain is a curvilinear triangle. Conformal mappings of the physical domain and of an unknown complex-potential domain onto an auxiliary half-plane are obtained by a modified method of Polubarinova-Kochina, which is mathematically reduced to a vector Riemann boundary-value problem. Free surfaces are reconstructed for different values of losses, densities of the two fluids, sea water and incident groundwater hydraulic heads. Comparisons with the Dupuit-Forcheimer (hydraulic) model are made and practical implications for catchment-scale groundwater management in Oman and UAE are discussed. © Springer 2006.
dc.relation.ispartofseries Journal of Engineering Mathematics
dc.subject Boundary-value problems
dc.subject Complex potential
dc.subject Hodograph
dc.subject Phreatic surface
dc.subject Sharp interface
dc.title Analytical solution to a sea-water intrusion problem with a fresh water zone tapering to a triple point
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 54
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 197
dc.source.id SCOPUS00220833-2006-54-3-SID33745068084

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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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