| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2019 |
| Язык | английский |
|
Обносов Юрий Викторович, автор
|
|
Kacimov Anvar Rashidovich, автор
|
| Библиографическое описание на языке оригинала |
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)
|
| Аннотация |
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. |
| Ключевые слова |
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 |
| Название журнала |
Advances in Water Resources
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=205095 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Обносов Юрий Викторович |
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/?p_id=205095 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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