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<br />I' <br /> <br />I <br />I <br />i <br />t <br /> <br />19 <br /> <br />I <br />'. <br /> <br />Based on Calculations of Discharge <br /> <br />Another way to approach the problem of flood magnitude and <br /> <br />frequency is to calculate the discharges required to inundate the <br /> <br />mapped areas,l and compare these to known flood discharges. Un- <br /> <br />fortunately, gaged discharges during large floods are completely <br /> <br />absent in the thesis area. Ho~ever, calculated discharges can be <br /> <br />compared 'to floods gaged just outs~de the thesis area, and to a <br /> <br />statistical estimate of the largest probable flood for the Big <br /> <br />Thompson River at Loveland (U.S, Army, Corps of Engineers, Omaha <br /> <br />Engineer District, 1971), <br /> <br />The Hanning equation was used to calculate discharge. <br /> <br />Q = A 1.49 R2/3 Sl/2 <br />n <br /> <br />where <br /> <br />Q = discharge <br /> <br />A = cross sectional area <br /> <br />R = hydralic radius (cross sectional <br />area/wetted perimeter) <br /> <br />I. <br /> <br />S = slope <br /> <br />n = a coefficient of roughness <br /> <br />Discharges necessary to inundate ,the areas mapped were <br /> <br />i <br />I <br />I <br />I <br />I <br />I . <br />, <br />I <br />I <br />! <br />I <br /> <br />calcula'ted a't those locations which had reasonable data on flood <br /> <br />depths, using the following procedure. Cross sectional areas and <br /> <br />wetted perimeters were determined from' topographic map data, con- <br /> <br />trolled by field observations. 1~1ere field obsetvations were care- <br /> <br />fully made, a single cross sectional area could be drawli; otherwise <br /> <br />IThe Rational Hethod (Chow, 1964, pp, 14-16) is a third ap- <br />proach. Q = CIA where: Q = discharge; C = coefficient of runoff; <br />I = rainfall intensity;- A = area of dtain~ge basin. A more strictly <br />geologic approach l"iS been used in this study, <br />