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<br />Measured and Predicted Velocity and Longitudinal Dispersion at Steady and Unsteady Flow, <br />Colorado River, Glen Canyon Dam to Lake Mead <br /> <br />rating curve - defined by recent current-meter mea- <br />surements. Gaging stations with stage record and rat- <br />ing curves were Colorado River below Glen Canyon <br />Dam (09379910); Colorado River at Lees Ferry <br />(09380000); Colorado River above the Little Colorado <br />River near Desert View (09383100); Colorado River <br />near Grand Canyon (09402500); Colorado River above <br />National Canyon near Supai (09404120); and Col- <br />orado River above Diamond Creek near Peach <br />Springs (09404200) (Figure 1). The network of tempo- <br />rary stage recorders provided stage information at <br />intervals of about 8 kilometers. In addition, stage at <br />sampling sites not near an existing gage was recorded <br />during sampling for the unsteady-flow measurement <br />with a portable gage that consisted of a submersible- <br />pressure transducer and datalogger to provide addi- <br />tional information on the timing of dye passage <br />relative to the passage of the daily hydrograph. <br /> <br />Results <br /> <br />Steady Flow, Glen Canyon Reach. Results show <br />that dispersion was proportionally much greater <br />at the lowest flow than at the highest two flows <br /> <br />measured (Figure 3 and Table 2). Velocity increased <br />from 0.3 to 1.0 mls as discharge increased from 139 to <br />651 m3/s. The lower bed slope in the Glen Canyon <br />reach than in downstream subreaches (Table 1) may <br />account for the fact that average velocity at a dis- <br />charge of 425 m3/s is less in the Glen Canyon reach <br />than in any of the subreaches of the Grand Canyon <br />reach. <br />The changes in unit-peak concentration, dye-cloud <br />variance, and dye-cloud skewness with discharge all <br />show that dispersion is much greater at the lowest <br />flow than at the two highest flows (Figure 3). Dura- <br />tion of the dye cloud past Lees Ferry, measured from <br />the time of arrival of the dye to the time when a con- <br />centration of 10 percent of the peak concentration was <br />reached on the trailing edge of the dye cloud, also is <br />proportionally much greater at the lowest flow than <br />the two highest flows. Dye-cloud duration was 4.5 <br />hours at 651 m3/s, 6.5 hours at 425 m3/s, and 12.3 <br />hours at 139 m3/s. Quantitative measures of changes <br />in spatia] characteristics of flow are not available, but <br />qualitative information from aerial photographs and <br />direct observation indicates that the increased <br />dispersion at low flow results from an increase in sin- <br />uosity and in longitudinal velocity gradients caused <br />by the emergence of large cobble bars and riffles. <br /> <br />Za:O 150 12.5 I , I <br />Owm . <br />j::1-::::>o W <br /><:Joz 00 . <br />0:0:",0 Zw 10.0 <br />.... wo . <1;0: <br />Z~::I:w 100 -<I; <br /> O::J <br />W _'" <1;0 7.5 <br />C,,>C/H-cr: >", <br />z~::!:w 0", <br />Oc(c(a.. <br />00:0: =>0: 5.0 - <br />~C)C)cn O:J <br /><1;00[5 50 -'0 <br />wa:...J1- . '1J: <br />a..o-w Wz 2.5 - <br />,->< >- <br />....::1:0:::1: 0 . <br />zzw I ' . <br />:J-a, 0 0 <br /> 1.5 I , I 1.2 I I , <br /><Ii 0 <br />'" - - .Z . - <br /> . >0 <br />w'" to <br />z", <br />:;=w - - ow - <br />w-' 1.0 0'" 0.8 <br />><Z -'0: . <br />"'0 Ww <br />oUi - >a, <br />:Jz W'" <br />OW . Clo: <br />...J::I: 0.5 - <l;w 0.41- <br />0- . 0:.... . <br />,0 Ww <br />w - >::1: I- <br />> <I; <br />0 z <br /> 0 I , 0 I , I <br /> 0 200 400 600 800 0 200 400 600 800 <br /> DISCHARGE. IN CUBIC METERS PER SECOND <br /> <br />Figure 3, Relation of Average Velocity, Dye-Cloud Skewness, Dye-Cloud Variance, and <br />Unit-Peak Concentration to Discharge, Glen Canyon Reach. <br /> <br />". <br />'~r- <br /> <br />271 <br /> <br />WATER RESOURCES BULLETIN <br /> <br />~,'~<l/ <br />f'" <br />'.uf.... <br />~;;~:' <br />',,--;. <br /> <br />i~:: <br /> <br />.:,. ,~~ :. <br /> <br />," <br /> <br />f,.. <br /> <br />':-1 <br /> <br />-~. <br /> <br />'.'" .-' <br /> <br />~;i~~t~ <br />f,S!'~: <br /> <br />.,'- <br /> <br />" <br /> <br />,.,. <br />~ :~. ;-~~ .-: <br />,t::. " <br />" . <br />:'; _'::~ : <br />"l"";,"_~ '-. <br />,.., .,;~ <br /> <br />j<~~':~'~~' , <br />~i~:; <br />.....-.. . <br /> <br />..: ~,:_'" , <br /> <br />r~_, '.' <br />-1.-,;. <br />