Form of presentation | Articles in international journals and collections |
Year of publication | 2012 |
Язык | английский |
|
Obnosov Yuriy Viktorovich, author
|
Bibliographic description in the original language |
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 |
Annotation |
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. |
Keywords |
Analytic functions, free boundary problems,
Lapalce's equation, seepage, refraction, hydraulic gradient,
suffosion |
The name of the journal |
APPL MATH MODEL
|
URL |
http://dx.doi.org/10.1016/j.apm.2011.07.088 |
Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=28653&p_lang=2 |
Resource files | |
|
Full metadata record ![](https://shelly.kpfu.ru/pdf/picture/arrow_black_right.gif) |
Field DC |
Value |
Language |
dc.contributor.author |
Obnosov Yuriy Viktorovich |
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/eng/?p_id=28653&p_lang=2 |
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 |
Articles in international journals and collections |
ru_RU |
|