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<br />I <br /> <br />I <br /> <br />5.3.3 Stream Bank Inventory <br /> <br /> <br />A field investigation was undertaken to categorize, reach by reach, the <br /> <br />bank stability and failure potential for each stream in the study area. The <br /> <br /> <br />results are presented in Table 21. Figure 27, a map of the study area, iden- <br /> <br />tified the reaches discussed in Table 21. <br /> <br /> <br />Worth mentioning in discussing the study results is the fact that a rela- <br /> <br /> <br />tively large-magnitude flood last occurred in the Fossil Creek drainage basin <br /> <br /> <br />in 1974. Several banks which failed in the past have become revegetated and <br /> <br /> <br />appear fairly stable. However, the passing of a large-magnitude flood will <br /> <br />likely reveal these banks to be unstable to some degree. <br /> <br /> <br />Also of special interest is an escarpment formed by a meander bed of <br /> <br /> <br />Fossil Creek cutting into a hillside located in Reach 7. The height of this <br /> <br /> <br />bank ranges from 20 to 25 feet in height. Although the bank appears fairly <br /> <br /> <br />stable, any failure which may occur will be of a very large magnitude and <br /> <br /> <br />could have significant economic impacts, particulary if future development <br /> <br />occurs in the vicinity of the escarpment. <br /> <br /> <br />Reaches which have major bank instability problems include, as numbered <br /> <br /> <br />on Figure 27, Reaches 4, 6, 7, 10, and 15 on Fossil Creek and Reach 17 on <br /> <br /> <br />Burns Tributary. Reaches with less severe, though still significant, instabi- <br /> <br /> <br />lity problems include Reaches 3 and 9 on Fossil Creek and Reaches 20, 21, and <br /> <br />23 on Lang Gulch. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />5.4 Equilibrium Slope Analysis <br /> <br /> <br />For Fossil Creek, above Fossil Creek Reservoir, and its major tribu- <br /> <br /> <br />taries, long-term aggradation and degradation potentials were calculated using <br /> <br /> <br />an equilibrium slope analysis. The equilibrium slope of a channel reach is <br /> <br /> <br />the slope at which the capacity of the channel to transport sediment is <br /> <br /> <br />exactly equal to the supply of sediment coming into the reach. If the <br /> <br />equilibrium slope is steeper than the existing slope then the channel will <br /> <br /> <br />tend to aggrade. If the equilibrium slope is flatter than the existing slope <br /> <br /> <br />then the channel will tend to degrade. The aggradation or degradation that <br /> <br /> <br />will occur will not be uniform, rather the change in slope should be thought <br /> <br /> <br />of as pivoting around a downstream control point such as a culvert, geologic <br /> <br /> <br />or other grade control. Due to the frequent occurrence of controls of this <br /> <br /> <br />type in the Fossil Creek system this method of analysis is especially appli- <br /> <br />cable. <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />I <br /> <br />43 <br /> <br />5.4.1 Method for Equilibrium Slope Analysis <br /> <br /> <br />The equilibrium slope analysis is simplified by the application of a <br /> <br />sediment transport relation of the form; <br /> <br />b c <br />q =aV Y <br />s <br /> <br />(5.1 ) <br /> <br />where ~ is the unit sediment discharge in cfs, a, b, and c are empiri- <br />cally determined coefficients, V is average channel velocity, and Y is <br />average depth. <br />The coefficients a, b, and c are determined fram a regression analy- <br />sis. Values of V and Yare generated by assuming that the wide channel <br />form of Manning's equation <br /> <br />Y = <br /> <br />qn <br />1.49 S 1/2 <br /> <br />(5.2) <br /> <br />) 3/5 <br /> <br />where V is the velocity, S is the friction slope assumed equal to bed <br /> <br /> <br />slope, Y is depth, q is water discharge per unit width, and n is <br /> <br />Manning's roughness parameter; adequately describes the hydraulics of the <br /> <br /> <br />system. A range of slopes is determined from available topographic data, <br /> <br />while a range of q's for the system is determined from multiple HEQ-2 runs. <br /> <br /> <br />For Fossil Creek and its tributaries, slopes range from approximately 0.0001 <br /> <br /> <br />foot per foot to 0.03 foot per foot, while unit discharges range from 0.5 to <br /> <br />50 cfs per foot. <br /> <br /> <br />Values of q were determined using a Meyer-Peter, Muller and modified <br />s <br /> <br />Einstein procedure explained in the Technical Addendum. Since sediment size <br /> <br /> <br />distributions, and general channel geometry and hydraulics are relatively <br /> <br />similar in the main stem and tributaries, only one sediment transport <br /> <br /> <br />regression was derived for the whole study system. This gave quite reasonable <br /> <br />results when applied in the equilibrium slope analysis. <br /> <br /> <br />Using Equations 5.1 and 5.2 and the definition of equilibrium; <br /> <br />QS(in) = Qs(out) <br /> <br />where Q (' ) is the incoming sediment to a reach and <br />s J.n <br />ment leaving the reach, and the fact that <br /> <br />QS( out) <br /> <br />is the sedi- <br />