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Input Parameters for Highland #3 (constrained) <br /> h w =depth of water above breach invert at time of failure = 4.9 m 16.1 ft <br /> h b = height of breach = 5.1 m 16.6 ft <br /> h d = height of dam = 5.1 m 16.6 ft <br /> VW =volume of water stored above breach invert at time of failure = 2,081,503 m' 1687.4 ac-ft <br /> S = reservoir storage = 2,081,503 m3 1687.4 ac-ft <br /> Ko = 1.4 for overtopping, 1.0 for piping = 1 <br /> Z= breach side slope = 1 <br /> constrained bottom width = 3.7 m 12 ft <br /> Breach Width Equations <br /> Froehlich(2008) <br /> 8 = 8.7 m 28.6 ft <br /> bottom width = 3.7 m 12.0 ft <br /> Von Thun and Gillette (1990) <br /> B = 8.7 m 28.6 ft <br /> bottom width = 3.7 m 12.0 ft <br /> USBR(1988) <br /> B= 8.7 m 28.6 ft <br /> bottom width = 3.7 m 12.0 ft <br /> Failure Time Equations <br /> Froehlich (2008) <br /> t, = 63.2(V,v/(g*hb2))o.5 = 1.59 hours <br /> V on Thun and Gillette (1990) <br /> t, =B/(4h,) (erosion resistant) = 0.44 hours <br /> USBR(1988) <br /> tf =0.011(8) = 0.10 hours <br /> B =average breach width <br /> V, =volume of embankment material eroded <br /> tf =failure time <br /> Cb =6.1 m for VH,< 1230000 m3 <br /> Cb = 18.3 m for 1230000 m3< Vw<6170000 m3 <br /> Cb =42.7 m for 6170000 m3<VW< 12300000 m3 <br /> Cb =54.9 m for V,> 12300000 m3 <br />