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

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


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