KFU. Card publication. Analytical and HYDRUS Solutions for Exfiltration Through Inclined Seepage Faces

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ANALYTICAL AND HYDRUS SOLUTIONS FOR EXFILTRATION THROUGH INCLINED SEEPAGE FACES

Form of presentation

Articles in Russian journals and collections

Year of publication

2023

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Kacimov Anvar Rashidovich, author

Bibliographic description in the original language

A. R. Kacimov, Yu. V. Obnosov. Analytical and HYDRUS Solutions for Exfiltration Through Inclined Seepage Faces. Advances in Water Resources (Elsevier) 2023, https://doi.org/10.1016/j.advwatres.2023.104517 (WoS IF=5.361, Q1)

Annotation

Steady, phreatic flows in wedge-shaped aquifers subtended by a tilted bedrock and discharged through a hillslope seepage face are studied by the hydrodynamic (2-D), hydraulic (1-D) analytical and FEM numerical models. The curvilinear triangle in the hodograph domain is conformally mapped onto a reference half-plane where the Hilbert problem is solved for two holomorphic functions. Free boundaries and sizes of seepage face segments are found for given flow rates of the incident flows seeping downhills. The approximate (Dupuit-Forchheimer ) water table is conjugated with a saturated triangle where the exact 1-D solution gives a constant Darcian velocity as a function of the angles of the soil wedge. HYDRUS-2D model gives the distributions of the pressure head, volumetric moisture content, isotachs, vector-fields of Darcian velocity and other characteristics of saturated-unsaturated seepage. Applications to stability of exfiltrating zones near tailwaters of earth dams are discussed.

Keywords

Phreatic seepage in hillslope, conformal mapping, Hilbert?s boundary value problem, Dupuit-Forchheimer? fragment, seepage-face bounded triangle, HYDRUS2D flow over a tilted bedrock

The name of the journal

Advances in Water Resources

URL

https://doi.org/10.1016/j.advwatres.2023.104517

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

https://repository.kpfu.ru/eng/?p_id=287016&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.contributor.author	Kacimov Anvar Rashidovich	ru_RU
dc.date.accessioned	2023-01-01T00:00:00Z	ru_RU
dc.date.available	2023-01-01T00:00:00Z	ru_RU
dc.date.issued	2023	ru_RU
dc.identifier.citation	A. R. Kacimov, Yu. V. Obnosov. Analytical and HYDRUS Solutions for Exfiltration Through Inclined Seepage Faces. Advances in Water Resources (Elsevier) 2023, https://doi.org/10.1016/j.advwatres.2023.104517 (WoS IF=5.361, Q1)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=287016&p_lang=2	ru_RU
dc.description.abstract	Advances in Water Resources	ru_RU
dc.description.abstract	Steady, phreatic flows in wedge-shaped aquifers subtended by a tilted bedrock and discharged through a hillslope seepage face are studied by the hydrodynamic (2-D), hydraulic (1-D) analytical and FEM numerical models. The curvilinear triangle in the hodograph domain is conformally mapped onto a reference half-plane where the Hilbert problem is solved for two holomorphic functions. Free boundaries and sizes of seepage face segments are found for given flow rates of the incident flows seeping downhills. The approximate (Dupuit-Forchheimer ) water table is conjugated with a saturated triangle where the exact 1-D solution gives a constant Darcian velocity as a function of the angles of the soil wedge. HYDRUS-2D model gives the distributions of the pressure head, volumetric moisture content, isotachs, vector-fields of Darcian velocity and other characteristics of saturated-unsaturated seepage. Applications to stability of exfiltrating zones near tailwaters of earth dams are discussed.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Phreatic seepage in hillslope	ru_RU
dc.subject	conformal mapping	ru_RU
dc.subject	Hilbert?s boundary value problem	ru_RU
dc.subject	Dupuit-Forchheimer? fragment	ru_RU
dc.subject	seepage-face bounded triangle	ru_RU
dc.subject	HYDRUS2D flow over a tilted bedrock	ru_RU
dc.title	Analytical and HYDRUS Solutions for Exfiltration Through Inclined Seepage Faces	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU