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<br />meters to urbanization characteristics. The equa- <br />tions used were of the form: <br /> <br />S[ =a +bCr+cLr <br /> <br />. (3.24) <br /> <br />in which <br />S[ = the volume of the inlerception storage <br />capacity (Equation 3.2) <br />Cr = the percentage impervious cover on the <br />walershed (Chapter II) <br />Lr = the characteristic impervious length fac- <br />tor (Chapler II). <br /> <br />The coefficients a, b, and c are determined for each <br />watershed parameler from each of the three storms. <br />For exampie, for S(; <br /> <br />S( = a + bCr + cLr (3.25) <br />( <br />SI2 = a + bCr + cLr " <br />SI3 = a + bCr + cLr " <br /> <br />Sj for each storm evenl (Equation 3.25) is de- <br />termined by calibration and the three equations are <br />solved for the Ihree unknowns a, b, and c. A similar <br />set of equations was solved for Ihe depression storage <br />capacily, Sd' the initial infillration rale, fo, and the <br />equilibrium infiltration capacity rate, fc' Each of <br />these watershed parameters were thus expressed as a <br />function of the two urban parameters, percenlage <br />impervious cover, Cf, and characteristic impervious <br />length factor, Lr. From these relationships, values of <br />the model parameters Sj. Sd, fo, and fc were calcu- <br />laled as needed for parlicular values of the urban para- <br />melers (which characterize Ihe degree of urbaniza- <br />tion). A fifth watershed parameter, the hydrograph <br />rise time, tr, was estimated as a function of the drain- <br />age area. The five equations thus eSlablished were: <br /> <br />S[ = <br />fo = <br />Sd = <br />fc = <br />I, <br /> <br />0.272- 0.203Cr + 0.22Lr . <br />0.793 .OA5ICr -O.040Lr . <br />0.113 + O.072Cr + O.l68Lr <br />0.277 - 0.247Cr - 0.168Lr <br />0.144 A . <br /> <br />(3.26) <br />(3.27) <br />(3.28) <br />(3.29) <br />(3.30) <br /> <br />The above equalions apply to the total area of <br />Mill Creek, Big Cottonwood, and little Cottonwood <br />Creeks combined, but it also was necessary to derive <br />similar equations for the Ihree individual walersheds. <br />A major problem, hOYfever, was the lack of storm run~ <br />offhydrographs for individual walersheds. Since the <br />available runoff records on the Jordan River inlegrate <br />the runoff from the tluee areas of concern, it was <br />necessary to separate the total hydrograph into com- <br />ponents which could be reasonably assumed 10 apply <br />to the three drainage areas of in terest. <br /> <br />The above parameters for the entire area were <br />used 10 calcuiate a combined runoff hydrograph from <br />Big and little Cottonwood Creeks for one slorm. <br />lhis hydro graph was then subtracled from Ihe lolal <br />recorded hydrograph to isolate Ihe hydrograph for <br />the third walershed (Mill Creek) for the chosen storm <br />(say, slorm number one). Then Ihe model was cali- <br />brated to match this hydro graph, and a set of water- <br />shed parameters thus was determined Mill Creek for <br />storm number one. Using the lolal watershed para. <br />melers for Big Cottonwood Creek and those just de- <br />termined for Mill Creek, a combined hydrograph for <br />these two walersheds was computed. By subtracting <br />this hydrograph from the tolal hydrograph, Ihe liltle <br />Cottonwood Creek hydrograph was isolated and used <br />to estimate watershed parameters for the little Cotton- <br />wood Creek. Finally, using the Mill Creek and the lil- <br />tie Cottonwood Creek parameters for the respeclive <br />areas, a combined hydrograph was calculated and sub- <br />tracted from the lotal walershed hydrograph. The re- <br />sulting hydrograph was assumed to be the Big Cotton- <br />wood Creek and was used to determine values for the <br />watershed parameters for that subwatershed. lhis <br />procedure was repealed for the second and third <br />storms, except that the order of subbasin selection <br />was altered to prevent a bias from the order in which <br />the storms were selected. <br /> <br />The above procedure was followed to estimate <br />individual runoff hydrographs for Ihree storms cor- <br />responding 10 each of the three watersheds within the <br />sludyarea. For each runoff event, Ihe values of the <br />watershed parameters S(. Sd' fo' and fc were deter- <br />mined from Ihe model calibration procedure. The <br />sels of equations of the form given by Equation 3.25 <br />then were solved for each parameter, and thus the co- <br />efficients a, b, and c were evaluated to produce equa- <br />tions for each of the three watersheds similar 10 those <br />of Equations 3.26 through 3.29. The data covered a <br />fairly broad spectrum of values for Cr and Lr; for ex. <br />ample. Cf varied between 10 and 50 percent. A fourlh <br />storm event (May 23, 1968) was used to lest the equa. <br />tions. Figure 3.11 gives a comparison of the observed <br />and computed tolal discharge rates on the Jordan <br />River at stations 1705 and 1710 for this storm. Flow <br />from Mill Creek at this time (station 1700) was negii. <br />gible and not included in the calculations. Obviously, <br />the results would have been better had the individual <br />walershed outpuls been gaged, but the melhod pro- <br />vides flood peak estimales for various levels of urbanl- <br />zation. <br /> <br />These equations could be used 10 estimate <br />stream flow under all conditions of urbanization. <br />Watershed dala and precipitation data (U. S. Army <br />Corps of Engineers, 1969a) for Ihe desired relurn per- <br />iods were used in Ihe model to graph the peak dis- <br />charge resulting from specified degrees of urbanlza- <br />tion by frequency as shown in Figures 3.12, 3.13, and <br /> <br />38 <br />