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<br />Mathers Hole Reach <br /> <br />The National Park Service (NPS) (O'Brien, 1984) dermed rating curves for the Mathers Hole reach <br />based on data collected in 1982 and 1983. The rating curves were prepared for total sediment load, as well <br />as various components of the total load. A continuation of that analysis for the Nature Conservancy dermed <br />the bias correction (based on the Ferguson procedure) for the total suspended load rating curve (O'Brien, <br />1987). <br /> <br />Review of the NPS data notebooks provided the raw data necessary to derive the bias <br />correction factors for the other rating curves. Only the 1983 data set was utilized since the 1982 data <br />set was limited and did not include a breakdown of sand load and wash load. Rating curves without <br />bias correction and developed from all flow data reproduced the mean value fairly well; application <br />of the bias correction resulted in significant overprediction (Table 5.3). In both of these cases the <br />suspended sediment load began overpredicting the total load at about 16,000 cfs. Rating curves <br />based on 2000 cfs data and greater resulted in underprediction without bias correction and <br />over prediction with bias correction (Table 5.3). Figure 5.3 illustrates the fit of the various rating <br />curves against the raw data, and the rating coefficients which are recommended for use in the <br />computation of effective discharge are summarized in Table 5.1. <br /> <br />An important factor in interpreting the Mathers Hole results is recognition of the variability of <br />rating curves developed from a supply limited reach. Statistical analysis of seasonal data (rising versus <br />recessional limbs) and yearly data (1982 versus 1983) by O'Brien (1984) "...demonstrates the variability of <br />the concentration and sediment load on a seasonal and annual basis. Since the sediment load in the river is <br />supply limited, large differences should be expected from year to year" (page 37). Therefore, the rating <br />curves developed from only one or two years of data may not be indicative of long term sediment transport <br />conditions. In fact, the 1983 year was a year of high water and sediment runoff (see page 1, Appendix B). <br /> <br /> Table 5.3 Results of bias correction analysis for Mathers Hole. <br /> Raw Original Conected <br /> Data No Obs. Mean of R"2 Correction Mean of <br />Os Mean n a b Preel. Val. Coef. C a b Corr. Val <br />TOTAL LOAD <br />For Q > 2000 '83 32944 34 3.21198E-Ol 1.25671 30080 0.605 1.1779 3.79061E..ol 1.25671 35432 <br />All Flows, '83 26716 43 7.440S4E-02 1.42000 25384 0.762 1.3831 1.02913E-Ol 1.42000 35109 <br />SUSPENDED LOAD <br />For Q > 2000 '83 32903 34 3.22923E-Ol 1.25619 30041 0.604 1.1788 3.80676E-Ol 1.25619 35414 <br />All Flows, '83 26716 43 7.4S891E-02 1.41960 25352 0.162 1.3839 1.03227E-Ol 1.41960 3508S <br />SAND LOAD <br />For Q > 2000 '83 14037 34 1.25673E-04 2.00963 13609 0.741 1.2512 1.57244E-04 2.00963 17028 <br />All Flows, '83 11932 40 5.08949&09 3.12594 19478 0.909 1.5728 8.00463&09 3.12594 30634 <br />WASH LOAD <br />For Q > 2000 '83 18781 34 2.94267E+OO 0.9S083 16273 0.411 1.2284 3.61468E+OO 0.9S083 19989 <br />All Flows, '83 16040 40 4.700S5E-02 1.40760 15293 0.796 1.2643 5.94288E-02 1.40760 19335 <br /> <br />Jensen Gage <br /> <br />Rating curve information for the Jensen gage on the Green River was available from the USGS. <br />Table 5.1 summarizes the rating curve coefficients. <br /> <br />5-8 <br /> <br />I <br />I <br /> <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />