Nonuniform and Unsteady Solute Transport in Furrow Irrigation. I: Model Development
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Abstract
A cross-section-averaged advection-dispersion equation (ADE) model was developed to simulate the transport of fertilizer in furrow irrigation. The advection and dispersion processes were solved separately at each time step by implementing a method of characteristics with cubic-spline interpolation and a time-weighted finite-difference scheme, respectively. The upstream boundary condition was a prescribed concentration. Downstream, a zero-flux boundary condition during advance and a concentration gradient following completion of advance were prescribed. Local pseudosteady state was assumed in order to apply Fischer’s longitudinal dispersion equation under nonuniform and unsteady furrow flow conditions. Statistical parameters were used to evaluate the ADE model performance.
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Acknowledgments
This research received support from USDA-CSREES-NRI Competitive Grant No. UNSPECIFIED2001-35102-10218. The writers would like to thank Dr. Dawit Zerihun, Dr. Peter Waller, Dr. William F. Ritter, and anonymous reviewers for helping to improve the manuscript. Also, we appreciate the support from Carl Arterberry, Don Powers, and Clint Jones of the U.S. Water Conservation Laboratory, Phoenix, in preparation and conduct of the field tracer experiment, and subsequent activities after that.
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Received: Aug 8, 2008
Accepted: Apr 17, 2009
Published online: May 14, 2010
Published in print: Jun 2010
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