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<br />collected only those par1icles having diameters <64 <br />mm. <br />We analyzed particle-size distributions using <br />standard techniques (Kellerhals and Bray, 1971; <br />Folk, 1974). Samples were dried, then a <br />representative split was sieved using standard, brass <br />sieves at I ljl intervals from 4 to -5ljl (0.064 to 32 <br />mm). Par1icles retained on each sieve were weighed <br />and the percent of the subsample in each ljl class was <br />determined. <br /> <br />Particle-size distribution of debris flows <br /> <br />Par1icle-size distributions were determined by <br />reconstructing the percentage of par1icles in each ljl <br />class on the basis of sample weight or by <br />occurrence in point counts. If particle diameters <br />were measured in the field, the par1icle-size <br />distribution determined using sieve analysis was <br />adjusted for these par1icles after the par1icle weight <br />was calculated. If point counts were made on the <br />surface of the deposit from which the sample was <br />collected, the two types of data were combined. <br />Although point counts are made using surface <br />exposure and dry-sieve analyses are based on <br />weight percent of a sample, the order of magnitude <br />of the resulting percentages is similar (Kellerhals <br />and Bray, 1971). We assumed that point counts <br />accurately measure par1icle diameters in excess of <br />64 mm; therefore, the distribution of par1icles >64 <br />mm was determined using point counts, whereas <br />the distribution of par1icles <64 mm was <br />determined by combining point count and dry-sieve <br />data. The percentage of par1icles <64 mm <br />determined by point count was adjusted by the <br />par1icle-size distribution of the collected sample. <br />We determined par1icle-size distribution for 41 <br />fresh, unaltered debris-flow deposits left by debris <br />flows that occurred between 1965 and 1999 (fig. <br />14). The deposits are very poorly sorted. Pebbles <br />are the most abundant par1icles at 41 percent by <br />weight (table 16). Boulder content is highly <br />variable, but typically accounts for about 14 percent <br />of debris-flow deposits. On average, about 22 <br />percent of all particles are smaller than gravel, and <br />par1icles finer than sand account for only 4 percent <br />of the distribution. The average sand content of <br />debris flows is about 18.2 percent with a range of <br />2.4 to 47 percent. <br /> <br />We found no significant statistical relation <br />between sand content and other factors that might <br />contribute to the high variability, such as drainage <br />area, watershed lithology, or the volume of the <br />debris flow. The strongest correlations obtained <br />were between sand-and-finer par1icles and debris- <br />flow volume (R2 = 0.20) and tributary drainage area <br />(R2 = 0.20). For the sand fraction, alone the highest <br />R2 value with any variable was 0.04. <br /> <br />Table 16. Percentage of boulderl, cobblel, pebblea, <br />land, and IlIt+clay In debrll flow In Grand Canyon. <br /> <br />Size Cle.. <br />Number of samples <br />Boulders (>256 mm) <br />Cobbles (64,256 mm) <br />Pebbles (2-64 mm) <br />Sand (0.063-2 mm) <br />Silt + Clay (< 0.0063 mm) <br /> <br />Deb,lo-flow depoatte <br />(welght% ~ 1 SD) <br /> <br />41 <br /> <br />13.9"'18.7 <br /> <br />24.4'" 19.3 <br /> <br />40.6", 20.6 <br /> <br />18.2", 11.3 <br /> <br />3.7", 3.1 <br /> <br />Bulk density of debris flows <br /> <br />The bulk density of debris flow deposits is <br />required to convert deposit volume, as calculated <br />using equation (10), to deposit mass. We calculate <br />bulk density from par1icle-size information, by <br />assuming that the volume occupied by par1icles <br />larger than 2 mm has a density equivalent to rock, <br />about 2.65 Mg/m3. We further assume that the <br />aggregate debris finer than gravel has a density of <br />1.5 Mglm3, a density typical of a non-compacted <br />sandy soil. The bulk density of a debris-flow <br />deposit can therefore be estimated from: <br /> <br />y = 2.65' r(W", '" < -I) + 1.50' I(W",'" > -I), (II) <br /> <br />where y = the density of debris-flow deposits and <br />W" = a weight percent fraction for a par1icle-size <br />range. Using the values presented in table 16, we <br />calculated an average value of y = 2.4 Mg/m3, <br />which corresponds to a solids concentration of 85 <br />percent by volume. This estimate is high compared <br />to measured values for debris-flow deposits in other <br />regions (Pierson, 1980; Major, and Voight, 1980; <br />Gallino and Pierson, 1985; Iverson, 1997), which <br /> <br />DEBRIS-FLOW SEDIMENT YIELD 31 <br />