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<br />00lHl <br /> <br />23 <br /> <br />The major application is illustrated using the outflow of 5 cfs per square <br />mile. Maximum storage in the reservoir would be reached when the inflow <br />and outflow lines are most distant from each other. For a constant outflow <br />of 5 cfs per square mile the greatest ordinate interval is found by starting <br />the outflow line on June 20th and drawing the line to July 13th. The detention <br />time is 23 days. The storage requirement, as computed on figure 3, equals <br />180,400 cfs-days, which is equivalent to a runoff of 7.27 inches depth of water <br />over the entire basin. This relation is plotted as circle on figure 5 (subse- <br />quently presented). By constructing lines for other selected outflow rates <br />on figure 3, additional storage requirements were computed as shown by <br />other circles on figure 5. The circled values roughly define a relation curve <br />of storage that would be required to limit gross outflow for various rates <br />during the period of maximum observed runoff volume at this site. Such in- <br />formation is shown in subsequent illustrations for each of 14 long-term gag- <br />ing stations. <br /> <br />A minor application of figure 3 is illustrated using the outflow of 10 cfs <br />per square mile. If a proposed reservoir at the site was empty on June 20th <br />and a constant outflow of 10 cfs per square mile was maintained, the accumu- <br />lated inflow would exceed the accumulated outflow until the two lines meet, <br />when the reservoir would be empty again. <br /> <br />Storage Requirements by Frequency Methods <br /> <br />The maximum storage requirement for a specific period of record at a <br />specific site, as described in the previous Section, does not show how fre- <br />quently storage may be expected to be inadequa te. The U. S. Corps of En- <br />gineers (1955, p.10) suggested development of a mass curve from frequency <br />data. Martin and Hulme (1957, p.55) utilized low-flow frequency data to com- <br />pute synthetic mass curves on a frequency basis. These two concepts were <br />applied to develop the storage capacity needed to sustain the low flow of Kan- <br />sas streams (Furness, 1962, p.19-22) and are similarly applied herein for <br />storage requirements to control high flow. Frequency ma ss curves of maxi- <br />mum runoff have been computed for selected probabilities of events from <br />flood discharge frequency curves such as figure 2. <br /> <br />On figure 2 imagine a vertical line at the 2-percent chance of exceed- <br />ance. Where this vertical line intersects each frequency curve, the rate of <br />unregulated flow can be read. This rate of flow can be converted to volume <br />of flow by multiplying by the duration in days and then plotting against the <br />corresponding days as circles in figure 4. A smooth curve through these <br />points defines a mass curve of accumulated flood volume having a 2 percent <br />chance expectancy. This mass curve is analogous to the mass curve of ob- <br />served inflow shown in figure 3. The curve differs only by representing <br />maximum 2 percent chance inflow instead of the observed inflow to a hypo- <br />