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 |
|