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<br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br /> <br />Using similar triangles, the flow into Lake <br />Catamount at failure is estimated at about <br /> <br />, <br /> <br />qf = (qp) (tb -tf ) / (tb ) <br />= (474,291)(1.70 0.33) / 1.70 <br />= 382,223 cfs. <br /> <br />The flow through the spillways at failure is <br />estimated at <br /> <br />q. = 26,000 + 4,900 <br />= 30,900 efs. <br /> <br />The volume of water that flows through the spillways <br />at Lake Catamount while the freeboard storageuspace is <br />being filled is estimated at <br /> <br />v. = 1/2 (30,900) (0.33) (3,600/43,560) <br />= 421 acre feet. <br /> <br />Based on the geometry of the dam and the volume and <br />the surface area of the reservoir, the peak flow <br />through the breach was calculated by computer program <br />HAZARD2.BAS at 63,951 cfs. The sum of the discharge <br />through the breach and through the spillways is <br /> <br />63,951 + 30,900 = 94,851 cfs. <br /> <br />Since the rate of flow into the reservoir at the <br />time the flood water reaches the level of the crest of <br />the dam is greater than the rate of flow out of the <br />reservoir, the water will continue to rise and start <br />flowing over the top of the dam. This rise will <br />continue until equilibrium is reached, or when the rate <br />of flow into the reservoir equals the rate of flow out <br />of the reservoir. <br /> <br />The maximum discharge over the top of the dam was <br />estimated by simultaneously solving three independent <br />equations. These equations are based on an estimate of <br />the additional volume in the reservoir during overflow <br />assuming an average surface area of 1200 acres, the <br />slope of the inflow hydrograph, and the equation for <br />flow over a broad crested wier. The peak rate of flow <br />over the top of the dam is estimated at 32,400 cfs which <br />will occur at a depth of 9.0 feet at approximately 0.91 <br />hours after water begins to flow over the dam. <br /> <br />2.1 <br />