KFU. Card publication. Profiling Ponded Soil Surface in Saturated Seepage Into Drain-Line Sink: Kalashnikov's Method of Lateral Leaching Revisited

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PROFILING PONDED SOIL SURFACE IN SATURATED SEEPAGE INTO DRAIN-LINE SINK: KALASHNIKOV'S METHOD OF LATERAL LEACHING REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2022

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Other authors

Kacimov Anvar Rashidovich, author

Bibliographic description in the original language

Kacimov A. R. Profiling Ponded Soil Surface in Saturated Seepage Into Drain-Line Sink: Kalashnikov's Method of Lateral Leaching Revisited / A. R.Kacimov, Yu. V. Obnosov // European Journal of Applied Mathematics. - 2022, doi:10.1017/S0956792522000171

Annotation

Two boundary value problems are solved for potential steady-state 2-D Darcian seepage flows towards a line sink in a homogeneous isotropic soil from a ponded land surface, which is not flat but profiled with the aim of “uniformization” the velocity and travel time between this surface and a horizontal drain modelled by the sink. The complex potential domain is a half-strip, which is mapped onto a reference plane. Either the velocity magnitude or a vertical coordinate along the land surface are control variables. Either a complexified velocity or complex physical coordinate are reconstructed by solving mixed problems with the help of the Keldysh-Sedov formula via singular integrals, the kernel of which are the control functions. The flow nets, isotachs, and breakthrough curves are found by computer algebra routines. A designed soil hump above the drain ameliorates an unwanted “preferential flow” (shortcut) and improves leaching of salinized soil of a cropfield during a pre-cultivation season.

Keywords

Seepage from undulated ponded soil surface to periodic drains-sinks, Reconstruction of holomorphic functions (complex potential, physical coordinate and complexified velocity) via the Keldysh-Sedov formulae, Advective travel time along streamlines and breakthrough curve

The name of the journal

EUROPEAN JOURNAL OF APPLIED MATHEMATICS

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/173165/F_EJAM2022.pdf?sequence=1&isAllowed=y

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

https://repository.kpfu.ru/eng/?p_id=270784&p_lang=2

Resource files

File name	Size (MB)	Format
F_EJAM2022.pdf	1,92	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.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Kacimov A. R. Profiling Ponded Soil Surface in Saturated Seepage Into Drain-Line Sink: Kalashnikov's Method of Lateral Leaching Revisited / A. R.Kacimov, Yu. V. Obnosov // European Journal of Applied Mathematics. - 2022, doi:10.1017/S0956792522000171	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=270784&p_lang=2	ru_RU
dc.description.abstract	EUROPEAN JOURNAL OF APPLIED MATHEMATICS	ru_RU
dc.description.abstract	Two boundary value problems are solved for potential steady-state 2-D Darcian seepage flows towards a line sink in a homogeneous isotropic soil from a ponded land surface, which is not flat but profiled with the aim of “uniformization” the velocity and travel time between this surface and a horizontal drain modelled by the sink. The complex potential domain is a half-strip, which is mapped onto a reference plane. Either the velocity magnitude or a vertical coordinate along the land surface are control variables. Either a complexified velocity or complex physical coordinate are reconstructed by solving mixed problems with the help of the Keldysh-Sedov formula via singular integrals, the kernel of which are the control functions. The flow nets, isotachs, and breakthrough curves are found by computer algebra routines. A designed soil hump above the drain ameliorates an unwanted “preferential flow” (shortcut) and improves leaching of salinized soil of a cropfield during a pre-cultivation season.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Seepage from undulated ponded soil surface to periodic drains-sinks	ru_RU
dc.subject	Reconstruction of holomorphic functions (complex potential	ru_RU
dc.subject	physical coordinate and complexified velocity) via the Keldysh-Sedov formulae	ru_RU
dc.subject	Advective travel time along streamlines and breakthrough curve	ru_RU
dc.title	Profiling Ponded Soil Surface in Saturated Seepage Into Drain-Line Sink: Kalashnikov's Method of Lateral Leaching Revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU