KFU. Card publication. Analytical Solution to Problem of 2-D Seepage From Aquifer Towards Stream via Clogged Bed: the Trefftz-Toth Legacy Conjugated

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ANALYTICAL SOLUTION TO PROBLEM OF 2-D SEEPAGE FROM AQUIFER TOWARDS STREAM VIA CLOGGED BED: THE TREFFTZ-TOTH LEGACY CONJUGATED

Form of presentation

Articles in international journals and collections

Year of publication

2019

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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 Anvar, Obnosov Yurii. Analytical Solution to Problem of 2-D Seepage From Aquifer Towards Stream via Clogged Bed: the Trefftz-Toth Legacy Conjugated. Advances in Water Resources (Elsevier), v.131 (2019) 103372, DOI: 10.1016/j.advwatres.2019.07.002 (IF=3.512, Q1)

Annotation

Transient 2D phreatic flow from an unconfined aquifer into a river with a clogged bed is approximated by a sequence of steady states, each of which assumes the water table to be horizontal. The scalar and vector fields of piezometric head, stream function and Darcian velocity are found from solution of the Dirichlet and Robin (linear combination of the velocity potential and its normal derivative) boundary value problems for the piezometric head (harmonic function). The time-shrinking Tothian “unit basins” are a half-strip, half-plane or rectangle. Stream banks are assumed to be horizontal or vertical segments. Cross-flow from the aquifer into the stream is trumped by the aquifer-skin conductivity ratio and the stages of the river and adjacent aquifer. The head and cross-flux on the interface (Robin's boundary) is shown to vary along this line and therefore situations are addressed when even for vertical river banks the Dupuit-Forchheimer approximation is not valid. Early-stage drawdown of a rectangular cake due to a sudden drop of the water level on the river side and formation of a seepage face is analysed with potential applications to stability of earth dams.

Keywords

stream-aquifer conjugation via a clogged bed, Robin?s boundary conditions for essentially 2-D seepage in the aquifer or cake, conformal mappings and solution of the Dirichlet and Robin boundary value problems for holomorphic functions, method of successive steady states for approximation of a curved branch of phreatic surface by a horizontal falling ray

The name of the journal

Advances in Water Resources

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

https://repository.kpfu.ru/eng/?p_id=205095&p_lang=2

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	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Kacimov Anvar, Obnosov Yurii. Analytical Solution to Problem of 2-D Seepage From Aquifer Towards Stream via Clogged Bed: the Trefftz-Toth Legacy Conjugated. Advances in Water Resources (Elsevier), v.131 (2019) 103372, DOI: 10.1016/j.advwatres.2019.07.002 (IF=3.512, Q1)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=205095&p_lang=2	ru_RU
dc.description.abstract	Advances in Water Resources	ru_RU
dc.description.abstract	Transient 2D phreatic flow from an unconfined aquifer into a river with a clogged bed is approximated by a sequence of steady states, each of which assumes the water table to be horizontal. The scalar and vector fields of piezometric head, stream function and Darcian velocity are found from solution of the Dirichlet and Robin (linear combination of the velocity potential and its normal derivative) boundary value problems for the piezometric head (harmonic function). The time-shrinking Tothian “unit basins” are a half-strip, half-plane or rectangle. Stream banks are assumed to be horizontal or vertical segments. Cross-flow from the aquifer into the stream is trumped by the aquifer-skin conductivity ratio and the stages of the river and adjacent aquifer. The head and cross-flux on the interface (Robin's boundary) is shown to vary along this line and therefore situations are addressed when even for vertical river banks the Dupuit-Forchheimer approximation is not valid. Early-stage drawdown of a rectangular cake due to a sudden drop of the water level on the river side and formation of a seepage face is analysed with potential applications to stability of earth dams.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	stream-aquifer conjugation via a clogged bed	ru_RU
dc.subject	Robin?s boundary conditions for essentially 2-D seepage in the aquifer or cake	ru_RU
dc.subject	conformal mappings and solution of the Dirichlet and Robin boundary value problems for holomorphic functions	ru_RU
dc.subject	method of successive steady states for approximation of a curved branch of phreatic surface by a horizontal falling ray	ru_RU
dc.title	Analytical Solution to Problem of 2-D Seepage From Aquifer Towards Stream via Clogged Bed: the Trefftz-Toth Legacy Conjugated	ru_RU
dc.type	Articles in international journals and collections	ru_RU