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<br />FINAL REPORT, November 2003 <br />High-flow Requirements for the Duchesne River <br /> <br />base-flow plus falling limb data to yield the following suspended sediment concentration ratings <br />relations (Figure 5): <br /> <br />C = 2800 - 2680 ; rising limb (Ia) <br />1+ exp[0.08(Q- 55)] <br /> <br />C = 800 - 680 ; falling limb (1 b) <br />1+ exp[0.07(Q - 65)] <br /> <br />where discharge is in cubic meters per second and concentration is expressed in milligrams per <br />liter. <br /> <br />This functional form reflects reasonable constraints that are consistent with these data and <br />with better-measured concentration time series on comparable streams. Among the simplest, and <br />perhaps most common, functional form used for suspended sediment rating relations is the power <br />function. In this data set, suspended sediment concentration increases with discharge in a <br />manner that can be well represented by a power function only through only a small range of <br />flows that occur in the Duchesne River. These data show that no systematic correlation between <br />concentration and discharge is apparent under base flow conditions, such that base flow <br />concentrations are best represented by a mean value. Only two measurements are available to <br />represent concentrations at discharges approaching or exceeding bankfull flow. However, these <br />measurements indicate that there is an upper limit to the suspended sediment concentration. <br />Simply extrapolating a power function to higher flows would not capture this phenomenon. <br />Instead, extrapolation would produce extremely high concentrations that are inconsistent with <br />this data and with observations elsewhere. These constraints -low-flow concentrations that are <br />insensitive to discharge and an upper bound on concentration - define the relations we fitted to <br />the data. <br /> <br />Total annual suspended-sediment discharge was estimated for time periods before 1925 <br />and after 1943, and for upper-quartile, lower-quartile, and middle-quartile years within the <br />period of measurement from 1943 to 2000. Upper-quartile years were defined as years with total <br />annual discharge in the upper quartile of all years in the measurement period Water years with <br />total annual discharge in the lowest quartile of all years in the measurement period were defined <br /> <br />12 <br />