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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
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<br />".t. ,:' ,
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<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
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