Казанский (Приволжский) федеральный университет, КФУ
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PROFILING PONDED SOIL SURFACE IN SATURATED SEEPAGE INTO DRAIN-LINE SINK: KALASHNIKOV'S METHOD OF LATERAL LEACHING REVISITED
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2022
Языканглийский
  • Обносов Юрий Викторович, автор
  • Kacimov Anvar Rashidovich, автор
  • Библиографическое описание на языке оригинала 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
    Аннотация 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.
    Ключевые слова 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
    Название журнала EUROPEAN JOURNAL OF APPLIED MATHEMATICS
    Ссылка для РПД http://dspace.kpfu.ru/xmlui/bitstream/handle/net/173165/F_EJAM2022.pdf?sequence=1&isAllowed=y
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