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<br />I <br /> <br />16 <br /> <br />I <br />I <br /> <br />A unit hydrograph is defined as the hydrograph of one inch of direct <br />runoff from the tributary area resulting from a unit storm. A unit <br />storm is a rainfall of such duration that the period of surface runoff <br />is not appreciably less for any rain of shorter duration. The unit <br />hydrograph thus represents the integrated effects of factors such as <br />tributary area, shape, street pattern, channel capacities, and stream <br />and land slopes, <br /> <br />I <br /> <br />I <br /> <br />To apply the unit hydrograph, the effective precipitation depth for <br />the "unit storm" periods are multipl led by the ordinates of the unit <br />hydrograph and added to obtain a design storm runoff. <br /> <br />I <br /> <br />The basic premise of the unit hydrograph is that individual hydrographs <br />resulting from the successive increments of rainfall excess that occur <br />throughout a storm period will be proportional in discharge throughout <br />their length, and that when properly arranged with respect to time, the <br />ordinates of the individual unitgraphs can be added to give ordinates <br />representing the total storm discharge. The hydrograph of total storm <br />discharge is obtained by summing the ordinates of the individual <br />hyd rographs. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />The derivation and appl ication of the unit hydrograph are based on <br />the following assumptions: <br /> <br />I <br /> <br />I. The rainfall intensity is constant during the storm that produces <br />the unit hydrograph, <br /> <br />I <br />I <br /> <br />2. The rainfall is uniformly distributed throughout the whole area <br />or the drainage basin. The small basins in North Boulder make <br />this a va) id assumption. <br /> <br />3. The base or time duration of the design runoff due to an effective <br />rainfall of unit duration is constant. <br /> <br />I <br /> <br />4. The ordinates of the design runoff with a common base time are <br />directly proportional to the total amount of direct runoff repre- <br />sented by each hydrograph. <br /> <br />I <br /> <br />5, The effects of all physical characteristics of a given drainage <br />basin, including shape, slope, detention, infiltration, drainage <br />pattern, channel storage, etc., are reflected in the shape of <br />the unit hydrograph for that basin, <br /> <br />I <br />I <br /> <br />Equations <br /> <br />There are two basic equations used in defining the 1 imits of the <br />synthetic hydrograph, The first equation defines the lag time of the <br />basin in terms of time to peak, tp' which, for the Colorado Urban <br />Hydrograph Procedure, is defined as the time from the center of the <br />unit storm duration to the peak of the unit hydrograph. This study <br />used a ten-minute unit storm duration. <br /> <br />I <br />I <br />I <br />