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<br />C"": <br />.~ <br />"'" <br /> <br />o <br /> <br />independent measurements, can be calculated. Standard methods have been developed to <br />evaluate this net uncertainty. The method developed by Kline and McClintock (1953)* was used <br />in this analysis. <br /> <br />The functional relationship between flow and measured variables in this case is expressed as <br />Manning's Equation: <br /> <br />Q = 1.49 n -1 A 5/3 Pw -2/3 S 1/2, <br /> <br />where Q is discharge (l3 r1). n is Manning's On" (-), A is area (l2), Pw is wetted perimeter (l), <br />and S is slope (l l-\ Because On" is not a measured vaiue, a separate uncertainty analysis <br />was conducted for 'n" to provide an error estimate for use in this analysis. For the sensitivity <br />analysis 01 maximum flow, the following error terms were used: <br /> <br />o area and wetted perimeter .:t. 10 percent <br />o Manning's On" .:t. 20 percent <br />o slope.:t. 0.001. <br /> <br />The results ofthese anaiyses are shown in the last column of Table 4. <br /> <br />TABL.E 4 <br /> <br />GURLEY INTAKE DITCH MAXIMUM CAPACITY SENSITIVITY ANAL.YSIS <br /> <br /> Range with <br /> Estimated Maximum Range Probable <br /> Capacity .:t.l0% Uncertainty <br />location (cIs) (cIs) (cIs) <br />D/S East Beaver 85 76-94 59 -111 <br />U /S Craver Creek 225 203 - 248 137 - 310 <br />Bwtn Craver & W. Beaver 220 198 - 242 156 - 278 <br />D /S West Beaver 360 324 - 396 256 - 460 <br />Gurley Ditch 745 671 - 820 541-944 <br /> <br />A more extensive program 01 flow measurements, surveying, and hydraulic modeling would be <br />required to better define and further reline the ditch capacity estimates. For the purposes of this <br />study, however, no further work is felt to be warranted. The data gathered indicate that the 400 <br />cfs ditch capacity above the chute and the 600 cfs capacity below the chute reported are <br />acceptable values. Given the uncertainty associated with the calculated capacities, there is not <br />sufficient evidence to reject or modify these values. <br /> <br />" <br /> <br />Kline, S.J. and FA McClintock, 1953. Describing uncertainties in single-sample experiments. <br />Mech. Eng. 75:3-8. <br /> <br />8 <br />