Form of presentation | Articles in international journals and collections |
Year of publication | 2022 |
Язык | английский |
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Obnosov Yuriy Viktorovich, author
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Kacimov Anvar Rashidovich, author
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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
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On-line resource for training course |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/173165/F_EJAM2022.pdf?sequence=1&isAllowed=y
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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 | |
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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 |
|