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Steady‐state Solute Convection in Two Dimensions With Nonuniform Infiltration
Author(s) -
Batu Vedat,
Gardner W. R.
Publication year - 1978
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/sssaj1978.03615995004200010005x
Subject(s) - streamlines, streaklines, and pathlines , infiltration (hvac) , dimensionless quantity , exponential function , soil water , exponential growth , convection , mechanics , steady state (chemistry) , soil science , vadose zone , hydraulic conductivity , thermodynamics , geology , mathematics , chemistry , physics , mathematical analysis
The steady‐state unsaturated flow equation in two dimensions is solved for an exponential unsaturated conductivity using the Kirchhoff transformation. Streamlines, travel times, and isochrones are calculated for an infiltration rate which is a piece‐wise linear function of horizontal coordinate. Results are compared with the equivalent solutions for a saturated soil. In addition to solutions in dimensionless form, an example is presented for Plainfield sand. The results confirm that surface variations in infiltration rate may be propagated to a considerable depth, particularly in sandy soils. This may account, in part, for the variability in solute leaching frequently observed in the field.