KFU. Card publication. Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ANALYTICAL SOLUTIONS FOR SEEPAGE NEAR MATERIAL BOUNDARIES IN DAM CORES: THE DAVISON-KALININ PROBLEMS REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2012

��

��

Authors, employees of KFU

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

File name	Size (MB)	Format
AMM,36,2012.pdf	0,21	pdf	show / download

Full metadata record

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