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Input Parameters for Highland #1 <br /> h W =depth of water above breach invert at time of failure = 1.0 m 3.3 ft <br /> hb = height of breach = 1.8 m 5.8 ft <br /> h d = height of dam = 1.8 m 5.8 ft <br /> VW = volume of water stored above breach invert at time of failure= 432,351 m' 350.5 ac-ft <br /> S = reservoir storage= 432,351 m3 350.5 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 =0.27K,VWo.32hbo.o4 = 17.6 m 57.6 ft <br /> bottom width = 16.3 m 53.6 ft <br /> Von Thun and Gillette (1990) <br /> Cb =function of reservoir size = 6.1 m 20.0 ft <br /> B =2.5hW + Cb = 8.6 m 28.3 ft <br /> bottom width = 7.4 m 24.2 ft <br /> USBR(1988) <br /> B =3(h ) = 3.0 m 10.0 ft <br /> bottom width = 1.8 m 5.9 ft <br /> Failure Time Equations <br /> Froehlich (2008) <br /> tf =63.2(VW/(g*hb2))o'S = 2.08 hours <br /> Von Thun and Gillette (1990) <br /> tf =B/(4hW) (erosion resistant) = 2.13 hours <br /> USBR(1988) <br /> tf = 0.011(B) = 0.03 hours <br /> B =average breach width <br /> Ver =volume of embankment material eroded <br /> tf =failure time <br /> Cb =6.1 m for VW< 1230000 m3 <br /> Cb = 18.3 m for 1230000 m3<VW<6170000 m3 <br /> Cb =42.7 m for 6170000 m3< V„,< 12300000 m3 <br /> Cb =54.9 m for VW> 12300000 m3 <br />