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Input Parameters for Highland #2 North <br /> h =depth of water above breach invert at time of failure = 6.4 m 21.1 ft <br /> h b =height of breach = 7.8 m 25.7 ft <br /> h d = height of dam = 7.8 m 25.7 ft <br /> VW = volume of water stored above breach invert at time of failure = 3,686,851 m' 2988.9 ac-ft <br /> S = reservoir storage = 3,686,851 m3 2988.9 ac-ft <br /> Ko = 1.4 for overtopping, 1.0 for piping = 1 <br /> Z= breach side slope = 0.7 <br /> Breach Width Equations <br /> Froehlich (2008) <br /> B = 0.2 7K0 VWo.32hbo.o4 = 37.0 m 121.5 ft <br /> bottom width = 31.5 m 103.5 ft <br /> Von Thun and Gillette(1990) <br /> Cb =function of reservoir size = 18.3 m 60.0 ft <br /> B = 2.5hw + Cb = 34.3 m 112.7 ft <br /> bottom width = 28.9 m 94.7 ft <br /> USBR(1988) <br /> B =3(h„,) = 19.2 m 63.2 ft <br /> bottom width = 13.8 m 45.1 ft <br /> Failure Time Equations <br /> Froehlich (2008) <br /> tf =63.2(V„,/(g*hb2))o.e = 1.37 hours <br /> Von Thun and Gillette (1990) <br /> tf =B/(4h W) (erosion resistant) = 1.34 hours <br /> USBR(1988) <br /> tf =0.011(B) = 0.21 hours <br /> B =average breach width <br /> Vef =volume of embankment material eroded <br /> f =failure time <br /> Cb =6.1 m for V„,< 1230000 m3 <br /> Cb = 18.3 m for 1230000 m3<V„,<6170000 m3 <br /> Cb =42.7 m for 6170000 m3 < V„,< 12300000 m3 <br /> Cb = 54.9 m for V„,> 12300000 m3 <br />