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Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited

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dc.contributor.author Kacimov A.
dc.contributor.author Kayumov I.
dc.contributor.author Al-Maktoumi A.
dc.date.accessioned 2018-09-19T20:31:36Z
dc.date.available 2018-09-19T20:31:36Z
dc.date.issued 2016
dc.identifier.issn 0309-1708
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/142984
dc.description.abstract © 2016 Elsevier LtdAn analytical solution to the Poisson equation governing Strack's discharge potential (squared thickness of a saturated zone in an unconfined aquifer) is obtained in a wedge-shaped domain with given head boundary conditions on the wedge sides (specified water level in an open water body around a porous promontory). The discharge vector components, maximum elevation of the water table in promontory vertical cross-sections, quantity of groundwater seeping through segments of the wedge sides, the volume of fresh groundwater in the mound are found. For acute angles, the solution to the problem is non-unique and specification of the behaviour at infinity is needed. A “basic” solution is distinguished, which minimizes the water table height above a horizontal bedrock. MODFLOW simulations are carried out in a finite triangular island and compare solutions with a constant-head, no-flow and “basic” boundary condition on one side of the triangle. Far from the tip of an infinite-size promontory one has to be cautious with truncation of the simulated flow domains and imposing corresponding boundary conditions. For a right and obtuse wedge angles, there are no positive solutions for the case of constant accretion on the water table. In a particular case of a confined rigid wedge-shaped aquifer and incompressible fluid, from an explicit solution to the Laplace equation for the hydraulic head with arbitrary time-space varying boundary conditions along the promontory rays, essentially 2-D transient Darcian flows within the wedge are computed. They illustrate that surface water waves on the promontory boundaries can generate strong Darcian waves inside the porous wedge. Evaporation from the water table and sea-water intruded interface (rather than a horizontal bed) are straightforward generalizations for the Poissonian Strack potential.
dc.relation.ispartofseries Advances in Water Resources
dc.subject Analytic and numeric solutions
dc.subject Dirichlet conditions for Poisson equation
dc.subject Dupuit–Forchheimer model
dc.subject Evaporation and sea water intrusion
dc.subject Water table with natural recharge
dc.title Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited
dc.type Article
dc.relation.ispartofseries-volume 97
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 110
dc.source.id SCOPUS03091708-2016-97-SID84988009617


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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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