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<br />is applied to concurrent ordinates. The instantaneous peak flows should be averaged, <br />regardless of differences in lag time and plotted at the average lag time. The average unit <br />hydrograph can then be sketched to confOITl) to the shape of the graphs, passing through <br />the computed average peak, and having a Volume of 1 unit of runoff. <br /> <br />By inspection of the heaviest rainfall and snowmeit excesses that caUSed the peak <br />flows of the flood hydrograph, unit hydrograph ordinates around the peak are first <br />estimated. The remainder of unit hydrograph is then estimated so that the volume is equal <br />to 1 unit Of runoff. In estimating the overall shape of the unit hydrograph, consideration <br />is given to the rate of rise and recession 01 the flood hydro graph and the estimated lag <br />time from the heaviest excess period to the peak of the flood hydrograph. This first-trial <br />unit hydrograph is then applied to the eX<::ess estimates, and the resuitinQ computed <br />hydrograph is checked against the observed flood hydrograph. The unit hYdrograph is <br />then adjusted as needed, and the process is repeated until the computed hydrograph <br />approximates the observed hydrograph to the desired accuracy. <br /> <br />The computation of a hydrograph rElquires not only developing a unit hydro graph <br />but estimating rainfall and snowmeit losses as well, and ordinarily the analysis involves <br />beth procEldures at the same time. This is normally required since it is not always obvious <br />whether the unit hydrograph or the loss nUes should be adjusted to obtain a better fit <br />between the computed and observed hydrographs. <br /> <br />The reconstitution of historical f100q hydrographs involves the estimation of base <br />flow, loss rates, and unit hydrographs; and it becomes clear that many combinations of <br />these three items can reconstitute the same flood hydrograph equally as well. <br />Consequently, a considerable amount of enllineering judgment will be requireq to establish <br />reasonable estimates for each of these items. Some subjectivity can be eliminated by <br />techniques such as the base flow separation. However, there is no way to completely <br />eliminate all of the subjectivity involved. cCmsistency in approach can be gained through <br />the use 01 computer programs such as the HEC-1 Flood Hydrograph Package, which will <br />automatically derive "best fit" unit hydrograph and loss rate coefficients based on <br />optimization techniques to minimize the differences between observed and computed flows. <br />Care must still be exercised by the enllineer, however, to evaluate the computed <br />coefficients for reasonableness. <br /> <br />3. S-CUFlVE HYDROGRAPHS. <br /> <br />According to the unit hydrograph concept, if the unit rate of rainfall excess over a <br />drainage area should continue indefinitely with the same areal distribution and intensity <br />characteristics, successive units of rainfall excess would contribute runoff at rates <br />corresponding to the basic unit hydrograph. An accumulation of runOff ordinates <br />corresponding to a particular time would give the total rate of runoff produced by the <br />uniform, <::ontinuous rate of rainfall excess antecedent thereto. At a time equal to the rate <br />of rainfall excess and would remain constant thereafter. The hydrograph generated in this <br />fashion will be referred to herein as an S-clJrve Hydrograph. The S-curve hYdrograph, as <br />defined abeve, should not be confused with mass curves of runoff that simply represent <br />accumulative volumes. <br /> <br />Colorado Flood <br />Hydrology Manual <br /> <br />7-38 <br /> <br />a:w=r <br />