KFU. Card publication. Analytical solution for a sharp interface problem in sea water intrusion into a coastal aquifer

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FEDERAL UNIVERSITY

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ANALYTICAL SOLUTION FOR A SHARP INTERFACE PROBLEM IN SEA WATER INTRUSION INTO A COASTAL AQUIFER

Form of presentation

Articles in international journals and collections

Year of publication

2001

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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.R., Obnosov Yu.V. Analytical solution for a sharp interface problem in sea water intrusion into a coastal aquifer. Proceedings Royal Society London A, 2001, 457, 2016, 3023-3038. DOI: 10.1098/rspa.2001.0857.

Annotation

Steady two-dimensional groundwater ?ow in an aquifer of constant thickness discharging into an inclined sea bottom is studied by the methods of complex analysis. The shape of an abrupt interface between moving fresh water and stagnant saline water appearing at the bottom corner of the aquifer is determined in an explicit analytical form depending on the values of the incident ?ow, hydraulic conductivity of the aquifer, its thickness, slope angle and densities of the two waters. The hodograph domain in this problem is an in� nite curvilinear triangle. Its conformal mapping on an auxiliary half-plane and the mappings of the physical domain and a priori unknown complex potential domain are obtained by the method of Polubarinova-Kochina based on the analytic theory of ordinary di?erential equations. The solution shows that, at small values of the incident ?ow, sea water intrudes deeply landward into the aquifer.

Keywords

free surface; complex potential; hodograph; analytic function

The name of the journal

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

URL

http://DOI: 10.1098/rspa.2001.0857

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

https://repository.kpfu.ru/eng/?p_id=137470&p_lang=2

Resource files

File name	Size (MB)	Format
PRLS2001.pdf	0,03	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	2001-01-01T00:00:00Z	ru_RU
dc.date.available	2001-01-01T00:00:00Z	ru_RU
dc.date.issued	2001	ru_RU
dc.identifier.citation	Kacimov A.R., Obnosov Yu.V. Analytical solution for a sharp interface problem in sea water intrusion into a coastal aquifer. Proceedings Royal Society London A, 2001, 457, 2016, 3023-3038. DOI: 10.1098/rspa.2001.0857.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=137470&p_lang=2	ru_RU
dc.description.abstract	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	ru_RU
dc.description.abstract	Steady two-dimensional groundwater ?ow in an aquifer of constant thickness discharging into an inclined sea bottom is studied by the methods of complex analysis. The shape of an abrupt interface between moving fresh water and stagnant saline water appearing at the bottom corner of the aquifer is determined in an explicit analytical form depending on the values of the incident ?ow, hydraulic conductivity of the aquifer, its thickness, slope angle and densities of the two waters. The hodograph domain in this problem is an in� nite curvilinear triangle. Its conformal mapping on an auxiliary half-plane and the mappings of the physical domain and a priori unknown complex potential domain are obtained by the method of Polubarinova-Kochina based on the analytic theory of ordinary di?erential equations. The solution shows that, at small values of the incident ?ow, sea water intrudes deeply landward into the aquifer.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Analytical solution for a sharp interface problem in sea water intrusion into a coastal aquifer	ru_RU
dc.type	Articles in international journals and collections	ru_RU