New Results for an Approximate Method for Calculating Two-Dimensional Furrow Infiltration
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 140, Issue 10
Abstract
This study expands the analysis of a proposed furrow infiltration formulation based on an approximate solution to the two-dimensional Richards equation. The approach calculates two-dimensional infiltration flux as the sum of one-dimensional infiltration and a second term labeled the edge effect. The edge effect varies linearly with time when the applied water pressure is constant. It is a function of sorptivity, soil water content, and the empirical parameters and that require calibration for the specific soil and furrow geometry. The primary objectives of the analysis were to better understand how furrow geometry affects the edge effect and the resulting empirical parameter values and to provide additional guidance for calibration. For a given flow depth, furrow geometry defines the wetted perimeter and the water pressure applied along that wetted perimeter. A subobjective was to evaluate the effect of the assumed soil water retention model on the calibration results. The results show that the range of variation of depends on the pressure value used for one-dimensional infiltration and edge effect calculations. This range can be reduced by using the wetted-perimeter averaged flow depth, , instead of the centroid depth, , as in the original formulation. The use of also eliminates the need to calibrate , which is simply equal to the furrow wetted. For the range of soils and geometry examined, varied in the range of 0.6–1.0, but the range was narrower with soils described with Brooks-Corey soil hydraulic models than with soils described with the van Genuchten model (VG model). This is explained by the larger values of wetting front suction associated with water retention data fitted to the Brooks-Corey model. With careful calibration, the approximate infiltration model can produce results of high accuracy in relation to the Richards equation solution. Calibration is especially needed with heavier soils for which the contribution of the edge effect relative to total infiltration is substantial.
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Acknowledgments
The authors would like to thank student intern S. Veravelli for conducting the HYDRUS-2D/3D and HYDRUS-1D simulations and compiling those results.
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Journal of Irrigation and Drainage Engineering
Volume 140 • Issue 10 • October 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 27, 2013
Accepted: Mar 24, 2014
Published online: May 22, 2014
Published in print: Oct 1, 2014
Discussion open until: Oct 22, 2014
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