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 |
|