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<br />unit hydrograph. For a storm with only one period of excess, the ordinates of the <br />hydrograph are computed as follows: <br /> <br />Q, = U. E <br />, , <br /> <br />(1 ) <br /> <br />where: <br /> <br />Q. = the hydrograph ordinate for any period, i <br />, <br />U, = the unit hydrograph ordinate for the same period, i <br />, <br />E = the rainfall plus snowmelt excess <br /> <br />For complex storms in which excess occurs in more time <br />than one period (the normal case), the resulting hydrograph can be determined by <br />computing the individual hydrographs resulting from the various excess periods in their <br />proper time sequence and adding the individual components. The individual <br />components need not be tabulated separately, but accumulatively multiplied until all <br />excess periods have been used, to obtain a total hydrograph ordinate. A general <br />equation for the total hydrograph ordinate for any period, i, is: <br /> <br />Q = U 1 . E. + U 2 . E _ + U 3 . E ;-2 + .., + Un' E_ <br />I I 1-1 I-n+ <br /> <br />(2) <br /> <br />where: <br /> <br />i = sequence number of excess <br />Q. = the hydrograph ordinate for period, i <br />, . <br />U= the unit hydrograph ordinates in order from 1 through <br />n <br />E = the rainfall plus snowmelt excess in reverse order from <br />i through i-n <br />n = total number of unit hydrograph ordinates or i, <br />whichever is smaller. <br /> <br />2. UNIT HYDROGRAPH DERIVATION. <br /> <br />A theoretically simple method of deriving a unit hydrograph involves the <br />analysis of runoff resulting from isolated precipitation that produces reasonably <br />uniform excess rates for a period approximately equal to the desired unit duration. <br />Base flow is separated from the direct runoff, and the individual ordinates of the direct <br />runoff hydrograph are divided by the volume of direct runoff. The resulting ordinates <br />form a unit hydrograph for the specified duration of unit excess. The occurrence of <br />floods resulting from single bursts of uniform precipitation rates are rare and, <br /> <br />7-26 <br />