KFU. Card publication. Saturated-unsaturated seepage from Kornev's subsurface element: comparison of analytic and numerical solutions

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FEDERAL UNIVERSITY

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SATURATED-UNSATURATED SEEPAGE FROM KORNEV'S SUBSURFACE ELEMENT: COMPARISON OF ANALYTIC AND NUMERICAL SOLUTIONS

Form of presentation

Conference proceedings in Russian journals and collections

Year of publication

2025

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Kacimov Anvar Rashidovich, author

Smagin Andrey Valentinvich, author

Bibliographic description in the original language

Kacimov A., Obnosov Yu., Umarova A., Sadovnikova N., Al-Shukaili A., Smagin A. Saturated-unsaturated seepage from Kornev's subsurface element: comparison of analytic and numerical solutions. Proceedings of the XVII International Kazan School-Conference «Theory of Functions, Its Applications and Related Issues“, Kazan, August 24-28, 2025, Proceedings of the N.I.Lobachevsky Mathematical Centre, Kazan University, V.69, pp. 85-88.

Annotation

Proceedings of the XVII International Kazan School-Conference «Theory of Functions, Its Applications and Related Issues“, Kazan, August 24-28, 2025, Proceedings of the N.I.Lobachevsky Mathematical Centre, Kazan University, V.69

Keywords

conformal mapping of circular polygons, Riemann-Hilbert?s problem, HYDRUS2D modeling, seepage flow topology, field experiments

The name of the journal

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

https://repository.kpfu.ru/eng/?p_id=316988&p_lang=2

Resource files

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KacimovObnosovltd_.pdf	0,55	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.contributor.author	Kacimov Anvar Rashidovich	ru_RU
dc.contributor.author	Smagin Andrey Valentinvich	ru_RU
dc.date.accessioned	2025-01-01T00:00:00Z	ru_RU
dc.date.available	2025-01-01T00:00:00Z	ru_RU
dc.date.issued	2025	ru_RU
dc.identifier.citation	Kacimov A., Obnosov Yu., Umarova A., Sadovnikova N., Al-Shukaili A., Smagin A. Saturated-unsaturated seepage from Kornev's subsurface element: comparison of analytic and numerical solutions. Proceedings of the XVII International Kazan School-Conference «Theory of Functions, Its Applications and Related Issues“, Kazan, August 24-28, 2025, Proceedings of the N.I.Lobachevsky Mathematical Centre, Kazan University, V.69, pp. 85-88.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=316988&p_lang=2	ru_RU
dc.description.abstract	Proceedings of the XVII International Kazan School-Conference «Theory of Functions, Its Applications and Related Issues“, Kazan, August 24-28, 2025, Proceedings of the N.I.Lobachevsky Mathematical Centre, Kazan University, V.69	ru_RU
dc.description.abstract	Subsurface emitters (SEs) are modeled as line sources with descending Darcian seepage impeded by either a natural impervious horizont or by designed and constructed barrier, which makes a wedge beneath SE. An analytical model assumes a tension-saturated steady-state 2D flow (Laplace's governing PDE) near an emitter, with a capping phreatic line, along which the stream function linearly depends on the horizontal coordinate that allows to use the Polubarinova-Kochina technique, {\it videlicet} a conformal mapping of a circular trigon in the hodograph domain on a reference half-plane. In the finite element model (HYDRUD2D, the Richards-Richardson PDE), a transient initial value problem (giving an asymptotic steady-state limit is solved in a fixed domain (an isosceles curvilinear tetragon or trapeziumIsobars, isohumes, streamlines,isotachs and the Christiansen uniformity coefficient are computed.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	conformal mapping of circular polygons	ru_RU
dc.subject	Riemann-Hilbert?s problem	ru_RU
dc.subject	HYDRUS2D modeling	ru_RU
dc.subject	seepage flow topology	ru_RU
dc.subject	field experiments	ru_RU
dc.title	Saturated-unsaturated seepage from Kornev's subsurface element: comparison of analytic and numerical solutions	ru_RU
dc.type	Conference proceedings in Russian journals and collections	ru_RU