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Steady Infiltration from Line Sources and Furrows
Author(s) -
Raats P. A. C.
Publication year - 1970
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1970.03615995003400050015x
Subject(s) - pressure head , infiltration (hvac) , hydraulic conductivity , exponential function , hydraulic head , water potential , flux (metallurgy) , surface irrigation , mechanics , hydrology (agriculture) , soil science , environmental science , geotechnical engineering , mathematics , soil water , irrigation , geology , mathematical analysis , materials science , physics , thermodynamics , ecology , biology , metallurgy
Steady infiltration from an array of equally spaced line sources or furrows at the surface of a semi‐infinite soil profile is analyzed. The discussion is based on the assumption that the hydraulic conductivity is an exponential function of the pressure head. It is shown that, under this assumption, the matric flux potential and the stream function for plane flows satisfy the same linear partial differential equation. Explicit expressions for the stream function, the flux, the matric flux potential, the pressure head, and the total head are obtained. Some implications with regard to furrow irrigation are discussed. The solution provides a rational basis for the discussion of leaching under furrow irrigation.