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<br />Therefore, the peak discharge of the 1921 flood at the <br />Lees Feny should have been similar to that at the Topock <br />gaging station, which is approximately 450 miles <br />downstream from Lees Feny, and the Yuma gaging <br />station, which is approximately 660 miles downstream <br />from Lees Ferry (fig, 1A). Support for this is provided by <br />the measured peak discharges during the high-discharge, <br />large-volume, long-duration snowmelt floods of 1922 and <br />1923, which had vhtually identical peak discharges at the <br />Lees Ferry, Topock, and Yuma gaging stations (U.S. <br />Geological Survey, daily mean and peak discharge data, <br />accessed November 22, 2(00). During the 1922 snowmelt <br />flood, peak discharges at the Lees Ferry, Topock, and <br />Yuma gaging stations were 116,000 ft3/s, 125,000 ft3/s <br />and 117,000 It3/s, respectively; during the 1923 snowmelt <br />flood, peak discharges at the Lees Feny, Topock, and <br />Yuma gaging stations were 98,300 ft3/s, 1m,OOO ft3/s, and <br />101,OOO ft3/s, respectively. Only during lower volume <br />snowmelt floods, with peaks of much shorter duration <br />than during the 1921, 1922, or 1923 Hoods, was <br />substantial attenuation of the peak discharge observed <br />between the Lees Ferry and Yuma gaging stations. <br />The estimated peak discharge of the 1921 Hood at <br />the Topock gaging station was 174,000 ft3/s on June 22, <br />1921 (Grover and others, 1922). This peak discharge was <br />estimated by extrapolating the stage-discharge rating <br />curve that applied to this site in 1921. This rating curve <br />was defined by 30 discharge measurements covering a <br />discharge range between 8,000 and 80,000 ft3/s (Grover <br />and others, 1922). Based on an evaluation of the discharge <br />data at the Topock gaging station by Dickinson (1944), the <br />174,000 ft3/s estimate of the peak discharge may be, if <br />anything, too high, Dickinson (1944) stated, "In general, <br />records prior to 1 924 tend to show the discharge too <br />great above about 20,000 second-feet [ft3/s] owing to <br />equipment and methods then in use in making discharge <br />measurements," In 1942, the USGS revised its estimate of <br />the 1921 flood at the Topoek gaging station to "greater <br />than 200,000 ft3/s" (Parker and others, 1942), but there <br />was no basis for this revision except to make it consistent <br />with Gatewood and Hunter's 1938 revision or the <br />estimated peak discharge of the 1921 flood at Lees Ferry, <br />Discharge data collected farther downstream at the <br />Yuma gaging station during the 1921 flood are <br />inconsistent with Gatewood and Hunter's 1938 estimate <br />ofthe peak discharge at Lees Ferry and Parker and others' <br />1942 revision of the peak discharge at the Topock gaging <br />station, The peak discharge or the 1921 flood measured at <br /> <br />the Yuma gaging station was 188,000 ft3/s on June 27, <br />1921 (Grover and others, 1922), This value was never <br />revised by the USGS and is still the accepted peak <br />discharge at Yuma during the 1921 flood, The computed <br />discharges at the Yuma gaging station during 1921 were <br />based on 164 measurements made duri ng the year (Grover <br />and others, 1922), Indeed, a discharge measurement was <br />made on the morning of June 27, 1927, near the peak of <br />the flood (fig, 10). <br />The published estimate of 188,000 ft3/s at the Yuma <br />gaging station may be slightly high because (1) the ero85- <br />sectional area of the flow at the Yuma gaging station was <br />determined by primitive sounding methods that would <br />have overestimated the cross-sectional area of flow, and <br />(2) the mean velocities in the higher flow discharge <br />measurements during 1921 were estimated by multiplying <br />surface velocities by a coefficient of 0.9 (Dickinson, <br />1944), In evaluating the discharge data at the Yuma gaging <br />station, Dickinson (1944), stated: <br />Priorto 1926, measurements are generally subjectto <br />errors of varying amounts due to methods and equipment <br />used, including the use of relatively few measuring points. <br />During 1911-15 and at stages above low-water during <br />1916-22, most measurements were based on observations <br />of surface velocity using a coefficient of 0.9 to obtain the <br />mean. At stages above low-water, soundings were made <br />separately from velocity observations priorto 1926, and <br />prior to 1923 a cylindrical weight suspended from one end <br />laxis verticall was used which was aptto be carried <br />downstream by drift and high velocity, resulting in too large <br />soundings. Soundings and velocity observations were <br />further complicated by a stayline 1918-25, <br />When the roughness elements on the bed are <br />small relative to the How depth, velocity profiles in steady, <br />uniform flow tend to have a logarithmic shape in only <br />the lower 20 percent of the flow, and an approximately <br />parabolic shape in the upper 80 percent of' the flow <br />(Rattray and Mitsuda, 1974; Wiberg and Smith, 1991; <br />Long and others, 1993), The coefficient relating suttaee to <br />mean velocity in this type of' profile is not 0.9, but 0,8 (at <br />one significant Jigure). The peak discharge of the 1921 <br />flood at the Yuma gaging station, based on a velocity <br />eoeflicient of 0.8 and the assumption that the sounding <br />methods did not introduce too much error, is ]67,000 ft3/s. <br />The peak discharge of this flood at the Yuma gaging <br />station was therefore between 167,000 and 188,000 ft3/s; <br />the uncertainty of this estimate is associated with the <br />accuracy of the sounding and the cross-sectionally <br />averaged shape of the velocity prolile. <br /> <br />1 <br /> <br />".t. ,:' , <br />. 'N' _\ .t <br /> <br />24 Computation and Analvsis of the Instantaneous-Discharge Re.cord1or. the Colorado River at Lees Ferrv. Arizona-May 8. 1921. through September 30, 2000 <br />