Laserfiche WebLink
<br />. <br /> <br />T,...BLE 3. power l'(X'ffi.:ienh In certain channel l1](\rrh"l{)g~ n:la- <br />tions, <br /> <br />CoefficIent Kan~as" Albenac Saimon Rl\n. ID' Average <br />m 0.16 0.14 0,12 0,14 <br />f 0,31 0.33 0.34 0,33 <br />b 0.54 0,53 0.54 0,54 <br /> <br />'Streamflow exceeded 10 % of the time (from Burns 1971), <br />"Two-year flood flow (from Bray 1982), <br />'Annual peak with a I in 2-yr return period (from Emmett 1975). <br /> <br />TABLE 4. Percent decrease in cenain characteristics of stream <br />morphology resulting from reduction of peak streamflows. <br /> <br />Morphology <br />factor <br /> <br />Power" <br />coefficient <br /> <br />50 <br />9.2 <br />19.2 <br />31.2 <br />14.1 <br /> <br />Percent reduction in peak flow <br /> <br />10 <br />1.5 <br />3.3 <br />5.5 <br />2.2 <br /> <br />33 <br />5,5 <br />12.2 <br />19.6 <br />8,5 <br /> <br />0,14 <br />0.32 <br />0.54 <br />0.22b <br /> <br />Velocity <br />Depth <br />Width <br />Width/depth <br /> <br />'From Table 3. <br />bCoefficient for width minus coefficient for depth. <br /> <br />remarkable, considering the geographic diversity of the <br />streams. However, when regressions are performed on <br />streams conforming to a different set of conditions, different <br />relationships could be anticipated. <br />Whereas hydraulic geometry equations might be predic- <br />tive in a situation where only the flows changed, they would <br />not be well suited to an application where both the flow and <br />the sediment load were modified. This concept is illustrated <br />in Table 5, based on data from the North Platte River and <br />the Platte River in Nebraska (Williams 1978). In this case, <br />the change in width is greatly underestimated, most likely <br />because the analysis did not account for a change in sedi- <br />ment load and size nor the encroachment of riparian vegeta- <br />tion. <br />Using the results of a laboratory study by Raju et al. <br />(1977) for variable sediment discharge and constant water <br />discharge we obtained the following relations: <br />(II) v=QsO.1O <br />(12) d = Qs -0,12 <br /> <br />(13) It' = Q,U02 <br />114) 5 = 0,043 <br />(IS) lI"d=Q,i'I." <br />where S is the slope. and Q. is the sediment discharge; the <br />other terms as defined previously, The study was made at <br />nearly constant discharge and used particles :s 0.27 mm in <br />diameter. <br />Three interesting points were developed in this study: (l) <br />the major impact of a change in the sediment load with no <br />change in streamflow was on the slope; (2) the width did <br />not change significantly with a change in sediment load; and <br />(3) the depth decreased with an increase in sediment load. <br />In most rivers, the slope cannot increase without the river <br />becoming straighter. Sinuosity - the ratio of the channel <br />length to the valley length - decreases with an increase in <br />sediment load. In addition, the meander wave length <br />increases. <br />Schumm (1977) suggested the following generalized rela- <br />tionships : <br />(16) Q = II (width, depth, meander wave length, <br />I1slope) <br />(17) Qs = 12 (width, I/depth, meander wave length, <br />slope, l/sinuosity) <br />where Q is the streamflow and Qs is the sediment load. <br />In many water development projects, both the sediment <br />load and the streamflow may be changed. The direction of <br />change suggested by Schumm (1977) is illustrated in Table <br />6 to show channel changes expected from specified changes <br />in sediment loads and streamflow. <br />When a reservoir is constructed, the impact on both the <br />sediment load and the. peak flows is significant. From <br />Table 6 we would expect the width of a river to decrease <br />after decreasing both the discharge and sediment load. <br />Actual results from 16 projects (Table 7), illustrate some <br />inconsistencies with these generalities. The width increased <br />in II (which is not the expected change) and decreased is <br />5 (the expected result). <br />Hay (1982) provided the following equations to use with <br />mobile gravel bed rivers. <br />(18) P = ~.20 QO.54 Qs -0,05 <br />(19) R = 0.161 00.41 D50-0.15 <br />(20) dm = 0.252 00,38 D50 -0,16 <br />(21) S = 0.679 Q-O,53 Qso,13D50o,97 <br /> <br />TABLE 5. Comparison of estimated vs. observed change in channel width of the North Platte and Platte rivers. Nebraska, using the <br />hydraulic geometry equations. <br /> <br /> Base condition Modified condition Ratio: <br /> Mean peak Mean peak <br /> flow' flowb Estimated' Observed Actual! <br />Location (m3.s -I) Width (m) (m3.s-l) width width estimated <br />Sutherland 152 410 68 265 75 0.28 <br />North Platte 217 520 72 282 90 0.32 <br />Brady 218 340 100 223 45 0.20 <br />Cozad 204 440 84 324 40 0.12 <br />Ovenon 293 1520 140 1020 335 0.33 <br />Odessa 196 930 165 506 490 0.95 <br />Grand Island 312 730 174 545 760 1.39 <br />'Peaks between July 1927 and March 1939. <br />bpeaks between October 1957 and 1970. <br /><Estimated width = width (1938) x (Q(l965)/Q(l938)) expo 0.54. Data source: Williams (1978). <br /> <br />25 <br />