| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2012 |
| Язык | английский |
|
Обносов Юрий Викторович, автор
|
| Библиографическое описание на языке оригинала |
Kacimov A.R., Obnosov Yu.V Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited. Appl. Math. Modelling (2012), v.36(3), 1286-1301, DOI: 10.1016/j.apm.2011.07.088 |
| Аннотация |
Steady Darcian seepage through a dam core and
adjacent shells is analytically studied. By conformal mappings of
the pentagon in the hodograph plane and triangle in the physical
plane flow through a low-permeable dam core is analyzed.
Mass-balance conjugation of flow in the core and downstream
highly-permeable shell of the embankment is carried out by matching
the seepage flow rates in the two zones assuming that all water is
intercepted by a toe-drain. Seepage refraction is studied for a
wedge-shaped domain where pressure and normal components of the
Darcian velocities coincide on the interface between the core and
shell. Mathematically, the problem of R-linear conjugation (the
Riemann-Hilbert problem) is solved in an explicit form. As an
illustration, flow to a semi-circular drain (filter) centered at the
triple point (contact between the core, shell and impermeable base)
is studied. |
| Ключевые слова |
Analytic functions, free boundary problems,
Lapalce's equation, seepage, refraction, hydraulic gradient,
suffosion |
| Название журнала |
APPL MATH MODEL
|
| URL |
http://dx.doi.org/10.1016/j.apm.2011.07.088 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=28653 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Обносов Юрий Викторович |
ru_RU |
| dc.date.accessioned |
2012-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2012-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2012 |
ru_RU |
| dc.identifier.citation |
Kacimov A.R., Obnosov Yu.V Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited. Appl. Math. Modelling (2012), v.36(3), 1286-1301, DOI: 10.1016/j.apm.2011.07.088 |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=28653 |
ru_RU |
| dc.description.abstract |
APPL MATH MODEL |
ru_RU |
| dc.description.abstract |
Steady Darcian seepage through a dam core and
adjacent shells is analytically studied. By conformal mappings of
the pentagon in the hodograph plane and triangle in the physical
plane flow through a low-permeable dam core is analyzed.
Mass-balance conjugation of flow in the core and downstream
highly-permeable shell of the embankment is carried out by matching
the seepage flow rates in the two zones assuming that all water is
intercepted by a toe-drain. Seepage refraction is studied for a
wedge-shaped domain where pressure and normal components of the
Darcian velocities coincide on the interface between the core and
shell. Mathematically, the problem of R-linear conjugation (the
Riemann-Hilbert problem) is solved in an explicit form. As an
illustration, flow to a semi-circular drain (filter) centered at the
triple point (contact between the core, shell and impermeable base)
is studied. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Analytic functions |
ru_RU |
| dc.subject |
free boundary problems |
ru_RU |
| dc.subject |
Lapalce's equation |
ru_RU |
| dc.subject |
seepage |
ru_RU |
| dc.subject |
refraction |
ru_RU |
| dc.subject |
hydraulic gradient |
ru_RU |
| dc.subject |
suffosion |
ru_RU |
| dc.title |
Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
EN 
中文 
ES 
Карта сайта
