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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 |