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<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 />I <br />I <br /> <br />6-12 <br /> <br />HRS WATER CONSULTANTS, INC. <br />1350 INDEPENDENCE STREET ~ <br />SUITE 3-A <br />LAKEWOOD. COLORADO 80215 <br />(303) 232.5859 <br /> <br /> <br />fill <br /> <br />ONSUL T ANTS IN <br />YO OGEOLOGY AND <br />WATER RESOURCES <br /> <br />HARLAN W, ERKER <br />ROBERT 0, TAFELSKI <br />STEPHEN R. PALMER <br /> <br />December 11, 1984 <br /> <br />Mr. Ed Opitz <br />Rocky Mountain Engineers <br />P.O. Box 445 <br />Kremmling, CO 80459 <br /> <br />84039-01 <br /> <br />Dear Mr. Opitz: <br /> <br />As you requested, we have conducted an analysis of annual instantaneous <br />peak discharge data for U.S.G.S. Station 09019500 on the Colorado River near <br />Granby to determine the 100-year flood discharges for the periods before and <br />after the initiation of operation of Lake Granby in late 1949. <br /> <br />The enclosed table lists the annual instantaneous peak discharge data <br />available for these two periods and includes a total of 20 years of discontinuous <br />data for the period prior to lake impoundments, and a total of 28 years of <br />discontinuous data after the start of the lake impoundments. As can easily be <br />seen, impoundment of water in Lake Granby has had a marked effect on peak <br />discharge at this station. <br /> <br />Two commonly recognized probability distribution methods were used to <br />estimate the 100-year flood: the Log Pearson Type 1II distribution and the Gumbel <br />Extreme Value Type I distribution. The Log Pearson method is an analytical <br />method utilizing statistical analysis of the logarithms of the data and involving <br />the skew of the data as an important component in the analysis. The Gumbel <br />method is a basic graphic probability technique involving the fitting of a straight <br />line through the data. <br /> <br />For the 20 years of record prior to the operation of Lake Granby (1908 <br />- 1911 and 1934 - 1949), the following estimates for the 100-year instantaneous <br />peak discharge were obtained: <br /> <br />Log Pearson Type 1II method - 4,380 cfs <br /> <br />Gumbel Extreme Value method - 4,650 cfs <br /> <br />It should be noted that these values are only estimates based on statistical analysis <br />of the available data and that 20 years of record is considered a minimum for <br />estimation of a 100-year event. Analyzing the Log Pearson estimate of 4,380 <br />cfs based on 20 years of record and a 90% confidence interval, there is a 90% <br />probability that the 100-year flood is between 3,700 and 5,800 cfs. <br /> <br />Using the 28 years of record following the operation of Lake Granby, an <br />attempt was made to estimate the 100-year peak discharge using the two methods. <br />However, the nature of the data did not lend itself to these statistical methods. <br />The operation of the lake has created an unnatural, and therefore no longer <br />random, set of flow data (see enclosed figure). The statistical methods available <br />for analyzing flood frequencies assume a random distribution of data. The results <br />of the analysis are indicative of this problem. <br /> <br />