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Input Parameters for Highland #2 South (constrained) <br /> h =depth of water above breach invert at time of failure = 5.9 m 19.2 ft <br /> h b = height of breach = 7.3 m 23.9 ft <br /> h d = height of dam = 7.3 m 23.9 ft <br /> V„, =volume of water stored above breach invert at time of failure = 3,472,008 ►n' 2814.7 ac-ft <br /> S =reservoir storage = 3,472,008 m3 2814.7 ac-ft <br /> Ko = 1.4 for overtopping, 1.0 for piping = 1 <br /> Z= breach side slope = 1 <br /> constrained bottom width = 9.1 m 30 ft <br /> Breach Width Equations <br /> Froehlich (2008) <br /> B = 16.4 m 53.9 ft <br /> bottom width = 9.1 m 30.0 ft <br /> Von Thun and Gillette(1990) <br /> B = 16.4 m 53.9 ft <br /> bottom width = 9.1 m 30.0 ft <br /> USBR(1988) <br /> B = 16.4 m 53.9 ft <br /> bottom width = 9.1 m 30.0 ft <br /> Failure Time Equations <br /> Froehlich (2008) <br /> tf =63.2(Vw/(g*hb2))0.5 = 1.43 hours <br /> Von Thun and Gillette(1990) <br /> tf =B/(4h„,) (erosion resistant) = 0.70 hours <br /> USBR(1988) <br /> tf =0.011(B) = 0.18 hours <br /> B =average breach width <br /> Ver =volume of embankment material eroded <br /> t f =failure time <br /> Cb =6.1 m for VH,< 1230000 m3 <br /> Cb = 18.3 m for 1230000 m3 <VH,< 6170000 m3 <br /> Cb =42.7 m for 6170000 m3 <V„,< 12300000 m3 <br /> Cb =54.9 m for VW> 12300000 m3 <br />