KFU. Card publication. A well in a «target« stratum of a two-layered formation: the Muscat-Riesenkampf solution revisited

KAZAN
FEDERAL UNIVERSITY

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A WELL IN A &LAQUO;TARGET&LAQUO; STRATUM OF A TWO-LAYERED FORMATION: THE MUSCAT-RIESENKAMPF SOLUTION REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2011

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Obnosov Yu.V., Kasimova R. G., Kacimov A.R.A well in a «target« stratum of a two-layered formation: the Muscat-Riesenkampf solution revisited. Transport in Porous Media. 2011, v.87, 437-457; DOI: 10.1007/s11242-010-9693-6

Annotation

Explicit analytical solutions are obtained in terms of hydraulic head (pressure) and Darcian velocity for a steady Darcian flow to a point/line sink and array of sinks with refraction of streamlines on a horizontal interface between two layers of constant hydraulic conductivities. The sinks are placed in a ``target'' layer between a constant potential plane and interface. An equipotential surface, encompassing the sink represents a horizontal or vertical well, and is reconstructed as a quasi-cylinder or quasi-sphere. The method of electrostaic images and theory of holomorphic functions are employed for obtaining series expansion solutions of two conjugated Laplace equations. If the conductivity of the ``target'' layer is less than that of the super/sub-stratum, then there is a minimum of the flow rate into the well of a given size. Applications to agricultural drainage and surface DC-electrical resistivity surveying are discussed.

Keywords

analytical solution, complex potential, Darcian velocity, refraction

The name of the journal

TRANSPORT POROUS MED

URL

http://www.springerlink.com/content/l8044805650x47h6/

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

https://repository.kpfu.ru/eng/?p_id=23242&p_lang=2

Resource files

File name	Size (MB)	Format
TPM2011.pdf	0,12	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2011-01-01T00:00:00Z	ru_RU
dc.date.available	2011-01-01T00:00:00Z	ru_RU
dc.date.issued	2011	ru_RU
dc.identifier.citation	Obnosov Yu.V., Kasimova R. G., Kacimov A.R.A well in a «target« stratum of a two-layered formation: the Muscat-Riesenkampf solution revisited. Transport in Porous Media. 2011, v.87, 437-457; DOI: 10.1007/s11242-010-9693-6	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=23242&p_lang=2	ru_RU
dc.description.abstract	TRANSPORT POROUS MED	ru_RU
dc.description.abstract	Explicit analytical solutions are obtained in terms of hydraulic head (pressure) and Darcian velocity for a steady Darcian flow to a point/line sink and array of sinks with refraction of streamlines on a horizontal interface between two layers of constant hydraulic conductivities. The sinks are placed in a ``target'' layer between a constant potential plane and interface. An equipotential surface, encompassing the sink represents a horizontal or vertical well, and is reconstructed as a quasi-cylinder or quasi-sphere. The method of electrostaic images and theory of holomorphic functions are employed for obtaining series expansion solutions of two conjugated Laplace equations. If the conductivity of the ``target'' layer is less than that of the super/sub-stratum, then there is a minimum of the flow rate into the well of a given size. Applications to agricultural drainage and surface DC-electrical resistivity surveying are discussed.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	analytical solution	ru_RU
dc.subject	complex potential	ru_RU
dc.subject	Darcian velocity	ru_RU
dc.subject	refraction	ru_RU
dc.title	A well in a «target« stratum of a two-layered formation: the Muscat-Riesenkampf solution revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU