Summary
A quasi-steady state integral (QSSI) model was developed for irrigation on freely draining borders. A semi-analytical method was used for solving the governing equations. The model results compared favorably with experimental data from 13 experimental borders for advance and from 4 experimental borders for recession. The absolute average percent deviation (APD) between calculated and observed advance times varied between 13.1 and 26.6 for 4 data sets and between 9.2 and 18.8 for 9 data sets. The APD for recession times varied between 1.7 and 5.7 for 4 data sets. The calculated advance times were smaller than observed values for these borders. For constant infiltration parameters, the border bed roughness was found to be the single most important parameter affecting model results.
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Ram, R.S., Singh, V.P. & Prasad, S.N. A quasi-steady state integral model for border irrigation. Irrig Sci 7, 113–141 (1986). https://doi.org/10.1007/BF00259428
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DOI: https://doi.org/10.1007/BF00259428