Abstract
One of the most valuable physical characteristics of dams and their reservoirs are area-capacity curves. The main objective of this paper is to substitute the reservoir capacity equation by a more precise dimensionless capacity equation which has fewer unknown parameters and coefficients. This proposed equation has only one unknown dimensionless parameter named “reservoir coefficient” N which should be obtained for each reservoir. The reservoir coefficient equation and reservoir area equation are obtained by differentiating the proposed reservoir capacity equation. The numerical values for N are obtained by using a trial and error procedure to minimize the Sum of Squared Errors (SSEs) of reservoir area and capacity equations and analytical values of N are obtained by deriving reservoir coefficient equation. Also, the results of the new proposed equation and the previous equation are evaluated and compared with each other for 20 reservoirs. In this study, it is concluded that the new proposed equation is more precise and much easier to solve in comparison with the previous one.
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