KFU. Card publication. Analytical Solution for Sharp Interface Flow to a Sink With an Upconed “Hanging” Saline Water Lens: Strack's Regimes Revisited

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ANALYTICAL SOLUTION FOR SHARP INTERFACE FLOW TO A SINK WITH AN UPCONED &LDQUO;HANGING&RDQUO; SALINE WATER LENS: STRACK'S REGIMES REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2018

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Kacimov Anvar Rashidovich, author

Bibliographic description in the original language

Kacimov A., Obnosov Y. Analytical Solution for Sharp Interface Flow to a Sink With an Upconed “Hanging” Saline Water Lens: Strack's Regimes Revisited / A. Kacimov, Y. Obnosov // Water Resources Research. - 2018,- 54(1) - P. 609-620.

Annotation

Steady, two-dimensional or axisymmetric groundwater flow in an aquifer with a horizontal or vertical well, which pumps fresh water from an aquifer sandwiched between a horizontal bedrock and ponded soil surface, and containing a lens-shaped static volume of a heavier saline water (DNAPL) as a free surface is studied. For a 2-D flow towards a line sink (horizontal well), an explicit analytical solution is obtained by a conformal mapping of the sextagone in the complex potential plane onto an auxiliary plane and the Keldysh-Sedov integral representation of a mixed boundary-value problem for a complex physical coordinate. The interface is found as a function of the pumping rate, the well locus, the ratio of liquids densities, and the hydraulic heads at the soil surface and in the well.

Keywords

Strack-type sharp interface, line/point sink, complex potential, analytic functions, Keldysh-Sedov formulae versus method of images, subcritical-critical flow

The name of the journal

WATER RESOUR RES

URL

http://DOI: 10.1002/2017WR021391

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

https://repository.kpfu.ru/eng/?p_id=175863&p_lang=2

Resource files

File name	Size (MB)	Format
WRR2018.pdf	0,15	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.contributor.author	Kacimov Anvar Rashidovich	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Kacimov A., Obnosov Y. Analytical Solution for Sharp Interface Flow to a Sink With an Upconed “Hanging” Saline Water Lens: Strack's Regimes Revisited / A. Kacimov, Y. Obnosov // Water Resources Research. - 2018,- 54(1) - P. 609-620.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=175863&p_lang=2	ru_RU
dc.description.abstract	WATER RESOUR RES	ru_RU
dc.description.abstract	Steady, two-dimensional or axisymmetric groundwater flow in an aquifer with a horizontal or vertical well, which pumps fresh water from an aquifer sandwiched between a horizontal bedrock and ponded soil surface, and containing a lens-shaped static volume of a heavier saline water (DNAPL) as a free surface is studied. For a 2-D flow towards a line sink (horizontal well), an explicit analytical solution is obtained by a conformal mapping of the sextagone in the complex potential plane onto an auxiliary plane and the Keldysh-Sedov integral representation of a mixed boundary-value problem for a complex physical coordinate. The interface is found as a function of the pumping rate, the well locus, the ratio of liquids densities, and the hydraulic heads at the soil surface and in the well.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Strack-type sharp interface	ru_RU
dc.subject	line/point sink	ru_RU
dc.subject	complex potential	ru_RU
dc.subject	analytic functions	ru_RU
dc.subject	Keldysh-Sedov formulae versus method of images	ru_RU
dc.subject	subcritical-critical flow	ru_RU
dc.title	Analytical Solution for Sharp Interface Flow to a Sink With an Upconed “Hanging” Saline Water Lens: Strack's Regimes Revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU