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<br />COMPUTATION OF PElIK DISCHl\RGE DUE TO FJl.ILURE OF THE Dl\M (OP) <br /> <br />The vast majority of dams are constructed of earth and rock. and the methods <br />presented in this section primarily relate to calculation of Qp for those <br />types of structures. (A simplified method for calculation of Qp for concrete <br />and masonry dams is presented at the end of this section). <br /> <br />For failure of an earth or rock fill dam under normal weather conditions. the <br />fOllowing general assumptions have been adopted: <br /> <br />1. The dam fails by erosion of embankment materials. initiated by piping. <br />embankment slides, deterioration of the outlet works. or spillway backcutting. <br /> <br />2. At the time of failure. the water level in the reservoir is at the crest <br />elevation of the emergency spillway. <br /> <br />3. The dam fails at its maximum section. <br /> <br />The conditions listed above have been found to be typical for dry-weather <br />failures of earth dams in Colorado. (The peak discharge for overtopping <br />failure can be calculated by adding base flow to the Qp value.) <br /> <br />The failure hydrograph is assumed to exist at a section immediately downstream <br />of the dam and to have the characteristics as shown in figure 1. <br /> <br />Q. cfs <br /> <br />Qp <br /> <br /> <br />1 Hours <br /> <br />o <br /> <br />. <br /> <br />Base Time Tp <br /> <br />JI <br /> <br />Figure 1: Idealized Failure Hydrograph <br /> <br />The shape is that of an isosceles triangle. having a peak value equal to Qp <br />(cfs) and base time Tp (Hours). Tp represents the time required to breach the <br />dam and ful1v drain the contents of the reservoir. The following relationship <br />is developed from the geometry of the triangle; V is the reservoir volume in <br />acre-feet (the area inside the triangle), and the constant. 24.2. is a <br />conversion factor to obtain units of cubic feet per second. <br /> <br />Qp = 24.2 V <br />TP <br /> <br />Equation 1 <br /> <br />2 <br />