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Linearized Moisture Flow with Root Extraction Over Two‐Dimensional Zones
Author(s) -
Warrick A. W.,
Lomen D. O.
Publication year - 1983
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/sssaj1983.03615995004700050005x
Subject(s) - pressure head , richards equation , hydraulic conductivity , extraction (chemistry) , infiltration (hvac) , sink (geography) , hydraulic head , flow (mathematics) , moisture , porous medium , mathematics , soil science , mechanics , geotechnical engineering , porosity , soil water , environmental science , geology , geometry , thermodynamics , physics , meteorology , chemistry , cartography , chromatography , geography
A solution of Richards' equation is developed for flow from a two‐dimensional, rectangular source or sink. The soil is assumed uniform with the unsaturated hydraulic conductivity exponentially related to pressure head. Steady‐state conditions are used, although a time‐dependent solution is discussed. The results are useful for approximating any two‐dimensional, explicitly defined root extraction pattern. This is possible by superimposing several rectangles to give the desired effect. Calculations are rapid with negligible computer time. Several examples are given appropriate for trickle irrigation, including stratified uptake regions, noncontiguous extraction zones, and a nonsymmetric case.