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<br />4 <br /> <br />TECHNIQUE8 OF WATER-RESOURCES INVE8TIGATIONS <br /> <br />fall over riflIes and boulders. The Manning <br />equation is not applicable when free fall exists. <br />However, free fall mayor may not be indicated <br />by th8 high.water profiles or by inspection of <br />the reach. Cross sections may be located to <br />eliminate any part of a reach in which free fall <br />is indicated; but when the reach includes <br />stretches in which free fall might have occurred, <br />the reliability of the computed discharge will <br />be low. <br />Channel bends often govern the length of a <br />suitable reach. The influence of the bend on <br />velocity distribution, slope, and water-sur- <br />face elevations continues some distance down- <br />stream from the bend. If a straight reach <br />away from the influence of bends cannot be <br />found, it is best to choose a long reach that <br />includes one or more channel bends with ter- <br />minal sections in straight portions of the <br />channel. <br />The reach should be long enough to develop <br />a fall which is well beyond the range of error <br />due to alternate interpretations of th8 high- <br />water profile, or to uncertainties regarding <br />the computation of velocity head. In general, <br />the accuracy of a slope.area measurement will <br />improve as the length of the reach is increased. <br />However, the length of a desirabl8 reach is often <br />governed by the geometry of the channel and <br />the practical difficulties of surveying long <br />reaches of river channel. One or more of the <br />following criteria should be met, if possible, in <br />selecting the length of a slope-area reach: <br />1. The length of the reach should be equal to or <br />greater than 75 times the' mean depth in <br />the channel. <br />2. The fall in the reach should be equal to or <br />greater than the velocity head. <br />3. The fall in the reach should be equal to or <br />greater than 0.50 foot. <br /> <br />Selection of Cross Sections <br /> <br />Cross sections represent samples of the geom. <br />etry of the reach; thus, th8 accuracy of the <br />measuremen t will to some extent depend on the <br />numboc of sections tak,en. A minimum of three <br />cross sections is recommneded. Criteria for <br />location of cross sections are given in chapter Al <br />by Benson and Dalrymple (1967). <br /> <br />Computations <br /> <br />e! <br /> <br />In general, perform the computations as <br />described by Benson ana: Dalrymple (1967) <br />beginning on page 24. Specifically for slop.... <br />area measurements the following considerations <br />apply. <br /> <br />Fall <br /> <br />To compute the fall, Mo, average the eleva- <br />tions on both banks at each cross section. <br />Show the computations for fall on the profile <br />sheet. There may be occasions when high- <br />water marks show that a ridge in the middle of <br />a stream divides the flow, so that different <br />water.surface elevations are in effect for both <br />banks, or a raised shelf may maintain overbank <br />flow at a higher elevation for some distance. <br />Under such conditions the fall may be obtained <br />by weighting the separate falls in accordance <br />with the conveyance in each portion. <br /> <br />Length of reach <br /> <br />For a reach in a straight or nearly straight <br />channel, compute the length from the stationing <br />of the ends of the cross section or scale the <br />length from the plan. If the channel is curving <br />and has nearly uniform d8pths, measure the <br />length on the curved line along the center of <br />the channel. If the main channel lies closer to <br />the' outside of the bend, use the length along <br />the center of the deep channel. The centroid <br />of conveyance may be computed for each cross <br />section and a line drawn along its approximate <br />position between the sections. In some places <br />a meandering main channel lies within a fairly <br />straight flood plain. If the water is entirely <br />within the main channel, use the main channel <br />length, If the flood plain also carries water, <br />weight the curving length along the main chan- <br />nel and the shorter length along the flood plain <br />in proportion to the approximate amount of <br />water flowing in each portion. Show computa- <br />tions of length for the individual subreaches on <br />the profile sheet. <br /> <br />e <br /> <br />'- <br />I <br /> <br />Discharge <br /> <br />Compute the conveyance, the velocity-head <br />coefficient '" for each cross section, and the <br /> <br />e <br />