Abstract

AbstractUsing the Kostiakov, modified Kostiakov and improved modified Kostiakov infiltration models, three alternate solutions of the Philip and Farrel equation are suggested for the determination of waterfront advance–time relations for irrigation borders. To test the solutions with field data of waterfront advance–time relations, each accumulated infiltration–time relation was used in the Philip and Farrel equation and the waterfront advance–time relation was determined using six observed data sets on irrigation borders. The results show that the improved modified Kostiakov model performed best in prediction of accumulated infiltration time as well as the waterfront advance–time relation as compared with the modified Kostiakov and Kostiakov infiltration model. Also, the modified Kostiakov infiltration model performed better in prediction of the infiltration and advance–time relation as compared to Kostiakov. Hence this paper suggests the use of the improved modified Kostiakov infiltration model in the Philip and Farrel equation with the help of computer programs to determine the waterfront advance–time relation in irrigation borders most accurately, as compared to the modified Kostiakov and Kostiakov infiltration models. Copyright © 2016 John Wiley & Sons, Ltd.

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