dc.contributor |
Казанский федеральный университет |
|
dc.contributor.author |
Kacimov Anvar Rashidovich |
|
dc.contributor.author |
Obnosov Yurii Viktorovich |
|
dc.date.accessioned |
2022-09-29T08:01:59Z |
|
dc.date.available |
2022-09-29T08:01:59Z |
|
dc.date.issued |
2022 |
|
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 |
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dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/173165 |
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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. |
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dc.language.iso |
en |
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dc.relation.ispartofseries |
EUROPEAN JOURNAL OF APPLIED MATHEMATICS |
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dc.rights |
открытый доступ |
|
dc.subject |
Seepage from undulated ponded soil surface to periodic drains-sinks |
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dc.subject |
Reconstruction of holomorphic functions (complex potential |
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dc.subject |
physical coordinate and complexified velocity) via the Keldysh-Sedov formulae |
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dc.subject |
Advective travel time along streamlines and breakthrough curve |
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dc.subject.other |
Механика |
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dc.title |
Profiling Ponded Soil Surface in Saturated Seepage Into Drain-Line Sink: Kalashnikov's Method of Lateral Leaching Revisited |
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dc.type |
Article |
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dc.contributor.org |
Институт математики и механики им. Н.И. Лобачевского |
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dc.description.pages |
1-15 |
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dc.pub-id |
270784 |
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dc.identifier.doi |
10.1017/S0956792522000171 |
|