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<br /> <br />48 <br /> <br /> <br />type III and Pearson type III frequency analyses were performed, and <br />the Pearson type III was found to be more applicable. This decision <br />was based on both theoretical considerations and results of analyses <br />of the data. The' frequency analysis was performed for volumes with <br />durations of one month, two months, etc. An adjustment was made to <br />the results to arrive at 100-year peak 30-day volumes, 60-day <br />volumes, etc. based on the 100-year peak one monthly volume, two <br />monthly volumes, etc. This adjustment, used to compensate for the <br />fixed interval of the base data, was very small. It was less than <br />6 percent for 30 days and practically negligible for periods longer <br />than 60 days. An inspection of the data shows that the adjustment <br />was not dependent on the magnitude of runoff. These flood frequency <br />curves are illustrated on figures 4.1 and 4.2 for Lakes Powell and <br />Mead, respectively. <br /> <br />The resulting 100-year volumes were used with the balanced <br />hydrograph procedure to arrive at daily hydrograph values. The <br />values near the peak, those for the peak thirty days, were patterned <br />to resemble the shape of the peak experienced during the natural <br />runoff into Glen Canyon Dam in 1984. The remainder of the <br />hydrograph was patterned to reflect a shape typical of that normally <br />experienced in high runoff years. The timing within the year was <br />also determined based on that normally experienced in high runoff <br />years. <br /> <br />The 100-year peak volumes were examined for temporal consistency. <br />The values for the 90-day peak volume appeared excessively large <br />with respect to all of the other values. Therefore, in order to <br />arrive at a reasonably consistent hydrograph, the 90-day values were <br />adjusted downward. This adjustment amounts to 2 percent for the <br />inflow into Hoover Dam. The intervening flows are approximately <br />5 percent or less of the total and were also smoothed temporally for <br />consistency. It should be noted that as a computational expediency <br />the peak 10, 11, and 12 month volumes were calculated using water <br />year data, but these values were used in constructing a hydrograph <br />for the calendar year. This discrepancy is insignificant in terms <br />of this study. <br /> <br />4.3 ANTECEDENT FLOODS FOR HOOVER AND GLEN CANYON <br /> <br />The resulting ordinates of the 100-year hydrograph for inflow into <br />Hoover Dam are shown in table 4.1. Table 4.2 provides the ordinates <br />for the 100-year inflow hydrograph for Glen Canyon Dam, and table <br />4.3 lists the concurrent flow in the intervening reach between <br />Hoover and Glen Canyon Dams. The ordinates from tables 4.2 and 4.3 for <br />any given day sum to give the corresponding unregulated, undepleted daily <br />flow in table 4.1. <br /> <br />Table 4.4 summarizes the results of the separation technique used in <br />the snowmelt flood analysis. The method calculated a 100-year <br />balanced snowmelt hydrograph for flows into Glen Canyon, with the <br />remainder of the 100-year inflow to Hoover Dam coming from the <br />intervening area between the dams. <br />