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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
Analytical solution to a sea-water intrusion problem with a fresh water zone tapering to a triple point
Journal of Engineering Mathematics, Volume 54, No. 3, Year 2006
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Description
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.
Authors & Co-Authors
Kacimov, Anvar
Oman, Muscat
Sultan Qaboos University
Obnosov, Yu V.
Russian Federation, Kazan
Kazan Federal University
Sherif, Mohsen M.
United Arab Emirates, Al Ain
United Arab Emirates University
Perret, Johan S.M.
Oman, Muscat
Sultan Qaboos University
Statistics
Citations: 18
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1007/s10665-006-9030-9
ISSN:
00220833
e-ISSN:
15732703
Research Areas
Environmental