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where: W = flow width of stream, in feet; <br />D = mean flow depth of stream, in feet; <br />V = mean flow velocity of stream, in feet per second; and <br />Q = water discharge, in cubic feet per second; <br />using the symbols introduced by Leopold and Maddock (1953), in which a, <br />c, and k are coefficients and b, f, and m are the exponents. The coeffi- <br />cients represent the theoretical values of width, depth, and velocity <br />when the discharge is unity (1.0), but on many rivers the discharge is <br />never actually 1 ft3/s and so the coefficients have no physical meaning. <br />The values of b, f, and m are the slopes of the respective lines. <br />Variations in the values of b, f, and m among stations can be ex- <br />plained by the general station locations. The station Big Sandy River at <br />Leckie Ranch, near Big Sandy is located near the headwaters of the river; <br />therefore, smaller values for b and f and a larger value for m are ob- <br />tained. This is due to the bedrock control of the width and depth caus- <br />ing a greater increase in velocity with increasing discharge. Pacific <br />Greek is located in the plains where the erodible channel allows a change <br />in depth and width with increasing discharge; therefore, a smaller in- <br />crease in velocity occurs with increasing discharge than at the station <br />on the Big Sandy River at Leckie Ranch. <br />Some errors in the values of b, f, and m in table 5 are present due <br />to the techniques of data collection. Data collection during the high <br />flows on the Big Sandy River at Gasson Bridge near Eden were made from a <br />bridge, while at low flows other cross sections were used. The bridge <br />measurements yielded a smaller than average value for b and a larger than <br />average value for f because the bridge revetments confine the width of <br />flow, causing the depth to increase more rapidly. At other locations <br />where wading measurements were made, for example the Big Sandy River near <br />Farson, the original cross section was not always used during subsequent <br />measurements. Wider than average sections were used at high discharges <br />to obtain depths shallow enough for wading. <br />Bankfull values of discharge and the bankfull width--depth ratio (H. <br />W. Lowham, U.S. Geological Survey, written commun., 1978), also are <br />presented in table 5. The bankfull discharge is commonly considered the <br />most important factor in forming the channel. The width-depth ratio is <br />an indicator of the main type of sediment load carried by a stream. A <br />large width-depth ratio generally indicates a bedload stream while a <br />small ratio generally indicates a suspended-load stream. The nature of <br />these types of loads is explained more fully in later sections of the <br />report. <br />21