KFU. Card publication. Leaky-layer seepage: the Verigin function revisited

KAZAN
FEDERAL UNIVERSITY

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LEAKY-LAYER SEEPAGE: THE VERIGIN FUNCTION REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2008

Язык

русский

Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Kacimov A.R., Obnosov Yu.V. Leaky-layer seepage: the Verigin function revisited. Journal Engineering Mathematics. V.62(4) 2008, p. 345-354

Annotation

Explicit analytical solution to the problem of steady Darcian seepage into a constant-head subsurface gallery placed in a homogeneous rock under a leaky layer of silt deposited in a reservoir is obtained. The third-type boundary condition along the interface between sediments and rock is tackled through the Verigin function, which satisfies a mixed boundary-value problem conditions in a domain obtained by conformal mappings of the physical plane (quadrangle) onto an auxiliary plane. This function has three integrable singularities and, unlike Verigin's attempt to construct the second conformal mapping, we use the Signorini-type integral representation, which skirts the abstruse calculation of mapping parameters. The gallery flow rate is plotted as a function of the gallery size, location under the cake, and the leakage factor, which combines the hydraulic conductivities of the rock and silt, acting hydraulic head and the silt thickness.

Keywords

analytical solution, steady Darcian seepage

The name of the journal

J ENG MATH

URL

http://www.springerlink.com/content/405jj785m3097818/

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=4278&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2008-01-01T00:00:00Z	ru_RU
dc.date.available	2008-01-01T00:00:00Z	ru_RU
dc.date.issued	2008	ru_RU
dc.identifier.citation	Kacimov A.R., Obnosov Yu.V. Leaky-layer seepage: the Verigin function revisited. Journal Engineering Mathematics. V.62(4) 2008, p. 345-354	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=4278&p_lang=2	ru_RU
dc.description.abstract	J ENG MATH	ru_RU
dc.description.abstract	Explicit analytical solution to the problem of steady Darcian seepage into a constant-head subsurface gallery placed in a homogeneous rock under a leaky layer of silt deposited in a reservoir is obtained. The third-type boundary condition along the interface between sediments and rock is tackled through the Verigin function, which satisfies a mixed boundary-value problem conditions in a domain obtained by conformal mappings of the physical plane (quadrangle) onto an auxiliary plane. This function has three integrable singularities and, unlike Verigin's attempt to construct the second conformal mapping, we use the Signorini-type integral representation, which skirts the abstruse calculation of mapping parameters. The gallery flow rate is plotted as a function of the gallery size, location under the cake, and the leakage factor, which combines the hydraulic conductivities of the rock and silt, acting hydraulic head and the silt thickness.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	analytical solution	ru_RU
dc.subject	steady Darcian seepage	ru_RU
dc.title	Leaky-layer seepage: the Verigin function revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU