Abstract
Laplace transformation, integral, and numerical solution methods to the Lewis and Milne surface irrigation volume balance equation are presented and discussed. Six formulations of the volume balance equation are presented. These consist of combinations of one of three infiltration equation (Kostiakov, extended Kostiakov, or SCS) and one of two advance equations (power or SCS). A simple and direct method based on the Kostiakov infiltration equation and the power advance equation is suggested for field use in determining infiltration from advance data and for calculations of irrigation efficiencies. This method and formulation accurately predicted the field and laboratory runoff data analyzed in Part II of this paper.
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