Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
STEADY FLOW FROM AN ARRAY OF SUBSURFACE EMITTERS: KORNEV'S IRRIGATION TECHNOLOGY AND KIDDER'S FREE BOUNDARY PROBLEMS REVISITED
Form of presentationArticles in international journals and collections
Year of publication2017
Языканглийский
  • Obnosov Yuriy Viktorovich, author
  • Kacimov Anvar Rashidovich, author
  • Šimůnek Jirka , author
  • Bibliographic description in the original language A. R. Kacimov, Yu. V. Obnosov, and J. Šimůnek. Steady Flow From an Array of Subsurface Emitters: Kornev's Irrigation Technology and Kidder's Free Boundary Problems Revisited, Transport in Porous Media, 2017, Springer DOI: 10.1007/s11242-017-0978-x
    Annotation Kornev's (1935) subsurface irrigation with a periodic array of emitting porous pipes is analytically modeled as a steady potential Darcian flow from a line source generating a phreatic surface. The hodograph method is used. The complex potential strip is mapped onto the trigon of the inverted hodograph. An analogy with the Deemter (1950) drainage problem and Kidder (1956) free-surface flow towards an array of oil wells underlain by a “wavy” oil-water interface is drawn. For a half-period of Kornev's flow, the “wavy” phreatic surface has an inflection point. The “waviness” of the phreatic surface is controlled by the spacing between emitters, the strength of line sources, and the pipe pressure and radius. Numerical modeling with HYDRUS involved two factors which confined the saturated-unsaturated flow.
    Keywords an array of subsurface irrigation emitters, line sources versus oil production wells, ?wavy? phreatic surface, conformal mappings of hodograph-complex potential domains, HYDRUS-2D simulations of ?backwater? bottom conditions
    The name of the journal Transport in Porous Media
    URL http://DOI: 10.1007/s11242-017-0978-x
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=169847&p_lang=2

    Full metadata record