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<br />,I <br /> <br />I <br /> <br />Q = q T <br />s s <br /> <br />I <br /> <br />where T is the channel top width; then the following expression for the <br /> <br /> <br />equilibrium slope of a reach may be derived; <br /> <br />I <br /> <br />I <br /> <br />S <br />eq <br /> <br />S . <br />eX1st <br /> <br />Q sup <br />Qexist <br /> <br />2 <br />) b - [0.6 (2/3 b + c)] <br /> <br />(5.3) <br /> <br />where <br /> <br />I <br /> <br />is the <br /> <br />is the equilibrium slope, S . <br />eq ex~st <br />supply of sediment to the reach, Q . t <br />eX1S <br />band c are defined by Equation 5.1. <br /> <br />S <br /> <br />is the existing slope, <br /> <br />Q <br />sup <br />is the existing transport <br /> <br />capacity of the reach, and <br /> <br />I <br /> <br />Since hydraulic conditions change with flow magnitude, the equilibrium <br /> <br /> <br />slope can vary with discharge. For this reason it is important to choose the <br /> <br /> <br />discharge level appropriately. The discharge from the 2-year flood was chosen <br /> <br /> <br />as the representative or dominant discharge. This discharge occurs frequently <br /> <br /> <br />and has a greater long-term effect on channel plan form than higher but less <br /> <br /> <br />frequent discharges such as the lOa-year flood. However, the longer, less <br /> <br />frequent discharges can cause large changes in a short period of time. These <br /> <br /> <br />changes cannot be ignored, but are best evaluated by a detailed sediment <br /> <br /> <br />routing methodology. <br /> <br /> <br />Since Fossil Creek receives water from tributaries as it flows <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />'I <br /> <br />I <br /> <br />downstream, the sediment supply increases. This sediment loading must be <br /> <br /> <br />accounted for or the sediment supply will be underestimated. Additional supply <br /> <br /> <br />of sediment was added in for Burns Tributary, Lang Gulch, Mail Creek, and <br /> <br /> <br />Stanton creek at the appropriate locations. Similarly Smith Creek's sediment <br /> <br /> <br />load was adjed to Lang Gulch at the confluence of the two. The sediment <br /> <br /> <br />loading from Burns Tributary, Lang Gulch, Mail Creek, and Stanton Creek was <br /> <br />calculated from known hydraulics. The loading due to Mail Creek was estimated <br /> <br /> <br />from discharge, slope, and drainage area. <br /> <br />'I <br /> <br />I <br /> <br />I <br /> <br />5.4.2 Results for Equilibrium Slope Analysis <br /> <br /> <br />Tables 22 and 23 present the results of the equilibrium slope analysis <br /> <br /> <br />for existing and developed conditions, respectively. The following reaches <br /> <br />are all experiencing significant aggradation; Fossil Creek from Taft Hill <br /> <br /> <br />Road to Shields Street, Burns Tributary above Shields Street; smith Creek bet- <br /> <br /> <br />ween Shields Street and Lang Gulch, and Lang Gulch between Smith Creek and the <br /> <br /> <br />Colorado & Southern Railroad Crossing No.2. Of these, Lang Gulch has the <br /> <br />'I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />46 <br />