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Input Parameters for Highland #2 North (constrained) <br /> h W = depth of water above breach invert at time of failure = 9.8 m 32.0 ft <br /> h b = height of breach = 11.2 m 36.7 ft <br /> h d = height of dam = 11.2 m 36.7 ft <br /> V =volume of water stored above breach invert at time of failure = 4,579,838 m' 3712.8 ac-ft <br /> S =reservoir storage = 4,579,838 m3 3712.8 ac-ft <br /> Ka = 1.4 for overtopping, 1.0 for piping = 1 <br /> Z = breach side slope = 1 <br /> constrained bottom width = 4.6 m 15 ft <br /> Breach Width Equations <br /> Froehlich (2008) <br /> B = 15.7 m 51.7 ft <br /> bottom width = 4.6 m 15.0 ft <br /> Von Thun and Gillette(1990) <br /> B = 15.7m 51.7 ft <br /> bottom width = 4.6 m 15.0 ft <br /> USBR(1988) <br /> B = 15.7m 51.7 ft <br /> bottom width = 4.6 m 15.0 ft <br /> Failure Time Equations <br /> Froehlich (2008) <br /> ft- =63.2(VW/(g`hb2))oe = 1.07 hours <br /> Von Thun and Gillette(1990) <br /> tf =B/(4h (erosion resistant) = 0.40 hours <br /> USBR(1988) <br /> tf = 0.011(B) = 0.17 hours <br /> B =average breach width <br /> Ver =volume of embankment material eroded <br /> tf =failure time <br /> Cb =6.1 m for Vim,< 1230000 m3 <br /> Cb = 18.3 m for 1230000 m3 < VN,<6170000 m3 <br /> Cb =42.7 m for 6170000 m3< VW< 12300000 m3 <br /> Cb =54.9 m for V,N> 12300000 m3 <br />