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Table 4. Sediment-size statistics and critical shear stress for the median particle size, Red Rock Canyon study reach <br />[Station, sample location on cross section from left endpoint; Percentile, percentile of the size distribution; lc, sampled across the entire ]ow-flow channel; <br />Critical shear for the median sediment size calculated with Equation 2; Shields pazameter is variable depending on pavement and subsurface properties; <br />ft, foot; mm, millimeters; ]b/ftZ, pound per square foot; DF, debris flow) <br /> Critical Critical <br /> shear shear <br />16th 50th 84th Maximum with with <br />Cross Sample Sample Station Percen- Percen- Percen- particle Shields Shields Remarks <br />section year code (ft) the the the size param- param- <br />(mm) (mm) (mm) (mm) eter eter <br /> 0.030 0.045 <br /> (Ib/ft2) (Ib/ftz) <br />F2 1994 RBank 85 43 165 500 1,000 1.67 2.51 DF-2 deposit neaz <br /> distal fan mazgin. <br />Fl 1994 RBank 78 43 165 500 1,000 1.67 2.51 DF-2 deposit near <br />distal fan margin. <br />H1 1994 RBank 90 13 50 174 500 0.51 0.76 DF-3 deposit neaz <br />distal fan mazgin. <br />Hl 1994 Fan 105 11 33 109 320 0.33 0.50 DF-3 deposit on fan. <br />H2 1994 RB1dBaz 181 79 320 450 650 3.24 4.87 Reworked boulders <br /> from debris fan. <br />Gl 1994 XChan lc 11 64 168 600 0.65 0.97 Sampled from <br /> station 52 to 210. <br />G1 1994 LB1dBaz 45 2 100 250 1,050 1.01 1.52 Sand covers boulders <br /> many places. <br />G1 1994 LGv1Baz 79 16 36 76 120 0.36 0.55 Well sorted gravels. <br />G2 1994 XChan lc 51 90 250 900 0.91 1.37 Sampled from <br /> station 38 to 142. <br />approximated by the relation between boundary shear <br />stress, flow depth, and energy gradient, given by the <br />duBoys equation (Chow, 1959, p. 168): <br />do=yD S (1) <br />where 1;o is the mean boundary shear stress, in pounds <br />per square foot; <br />y is the specific weight of water (62.4 pounds <br />per cubic foot); <br />D is the mean flow depth, in feet; and <br />S is the energy gradient, in foot per foot, for a <br />specific discharge. <br />Assumptions for using equation 1 are (1) the channel <br />cross section has a regular, or trapezoidal, shape and <br />width at least 10 times greater than its depth, (2) <br />streamflow is steady (there is a continuity of discharge <br />from cross section to cross section in the reach), and <br />(3) streamflow is uniform (velocity is constant in both <br />magnitude and direction through the reach). Applica- <br />tion of equation 1 is inappropriate in channel sections <br />where there is a strong lateral variation in acceleration <br />or where abrupt, local changes in streambed gradient <br />occur. Cross sections in this study were not trape- <br />zoidal, although all had single-thread channels at less <br />than flood discharges; all had width at least 20 times <br />mean flow depth, and many were approximately <br />symmetrical at less than flood discharges. streamflow <br />in the Warner Point and Red Rock Canyon study <br />reaches was assumed to be steady; there were no <br />significant local inflows to either reach, and infiltration <br />losses were assumed to be insignificant. <br />Most natural streams do not completely satisfy <br />the assumptions for equation 1, and the boundary <br />shear stress associated with any specific discharge is <br />i6 Geomorphic and Sedimentologic Characteristics of Alluvial Reaches in the Black Canyon of the Gunnison National Monument, <br />Colorado <br />