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<br />TOPPING ET AL: COWRADO RIVER SEDIMENT TRANSPORT, I <br /> <br />that a river be erosional; net dCJXlsition of coarser sizes may <br />occur even if a river is supply-limited with respect to finer slzes. <br /> <br />3. Hypothesized Effects of Sediment Supply <br />Limitation <br /> <br />[n a reach that is supply-limited with respect to a specified <br />size class of sediment over a given timescale, four coupled <br />effects are hypothesized to result. First. within the timescale <br />over which the reach is supply-limited, hysteresis in transport <br />rates of the specified size class will result [e,g" Nanson, 1974; <br />Dunne and Leopold, 1978; Moog and Whiting, 1998]. Following <br />sediment-supplying events to the reach, transport rates of sed- <br />iment in the supply-limited size class will initially increase <br />independently of discharge, then subsequently decrease as that <br />size class becomes depleted. As a result of the same process, <br />transport rates of the supply-limited size class will be higher on <br />the rising limb than on the receding limb of a flood. <br />The interplay between different size classes of sediment in a <br />supply-limited reach leads to the second effect of sediment <br />supply limitation. Sediment input to a supply-limited reach will <br />travel downstream as an elongating "sediment wave," with the <br />finest sizes (because of their lower settling velocities) traveling <br />the fastest. This sediment wave will bave a component in the <br />bed, the bed load, and the suspended load. AI; the front of a <br />sediment wave passes a given location, the sediment-transport <br />rate will first increase as the grain size in the reach fines, then <br />subsequently decrease as the grain size in the reach coarsens <br />[Topping el aI., this issue). Thus, associated with the hysteresis <br />in sediment-transport rates described above, hysteresis will <br />also exist in sediment grain size during a flood passing through <br />a supply-limited reach. The grain size of sediment in transport <br />on the rising limb will be finer than that on the receding limb <br />of the flood. Furthermore, by virtue of the physical linkage <br />between particle settling velocity and suspended-sediment- <br />transport rate [e.g., Rouse. 1937; Hunl. 1969; Smith. 1977; <br />McLean, 1992), in the same flow conditions the transport rate <br />of finer sediment will be greater than that of coarser sediment. <br />Therefore, following a discrete sediment-supplying event, the <br />timescale over which a reach becomes supply-limited with re- <br />spect to a finite amount of finer sediment is shorter than that <br />over which it becomes supply-limited with respect to an equiv- <br />alent amount of coarser sediment. <br />The third hypothesized effect of sediment supply limitation <br />follows directly from the second effect. Because the grain size <br />of sediment in suspension will coarsen over time during floods <br />passing through a supply-limited reach, the sediment available <br />for deposition on floodplains, on channel margins, or in eddies <br />will coarsen through time. Thus deposits produced during <br />floods passing through a supply-limited reach will coarsen up- <br />ward [/stya, 1989; Rubin et aI., 1998J. <br />The fourth hypothesized effect of sediment supply limitation <br />has to do with the temporal patterns of scour and fill of the bed <br />during floods passing through a supply-limited reach [Topping <br />et al., this issue]. If fhe upstream supply of sediment decreases <br />during a flood, a lag may develop or be modified between the <br />time of the flood peak and the time of either maximum or <br />minimum bed elevation. At a cross section where convergence <br />occurs in the boundary shear stress field with increasing flow, <br />the time of maximum bed elevation in a supply-limited case <br />will occur prior to that in a non-supply-limited case. Thus, at <br />this type of cross section, an observation of maximum bed <br />elevation leading a flood peak, with scour beginning prior to <br /> <br />517 <br /> <br />the Rood peak, indicates the presence of sediment supply lim- <br />italion. At a cross section where divergence occurs in the <br />boundary shear stress field with increasing flow, the time of <br />minimum bed elevation in a supply-limited case will OCCur after <br />that in a non-supply-limited case. However, because, at this <br />second type of cross section, minimum bed elevation lags the <br />flood peak in both the supply-limited and non-supply-limited <br />cases, an observation of minimum bed elevation lagging a flood <br />peak may suggest, but does not require, the presence of sedi- <br />ment supply limitation. Therefore, as with the previously de- <br />scribed hysteresis in sediment-transport rate and grain size, <br />hysteresis may also exist in bed elevation at a cross section <br />during floods, and, depending on reach geometry, the presence <br />of this hysteresis can be used to deduce the presence of sedi- <br />ment supply limitation. <br /> <br />4. Systematic Seasonal Changes in Sediment <br />Concentmtion, Gmin Size, and Bed Elevation: <br />Evidence for Predam Annual Fine-Sediment <br />Supply Limitation in Gmnd Canyon <br />4.1. Coupled Hysteresis in Suspended-Sediment <br />Concentration, Grain Size, and Bed Elevation <br /> <br />Calendar year 1954 provides a good example of the behavior <br />of suspended-sediment concentration, suspended.sediment <br />grain size, and bed elevation during an annual predam flood <br />cycle. The peak discharge of the 1954 snowmelt flood was <br />below average, and the duration was shorter than average, <br />extending only from mid-April 10 mid-June (Figure 23). Be- <br />cause of this shorter than normal duration, little overlap ex- <br />isted between the snowmelt flood and the onset of rributary <br />sediment-supplying floods during the summer thunderstorm <br />season. Thus 1954 provides a clear example of the response of <br />the river to changes in the upstream supply of sediment during <br />the annual snowmelt flood, without any of the complications <br />due to resupply of sediment to the river during the subsequent <br />summer thunderstorm season. AI; the upstream supply of sed- <br />iment decreased during the 1954 snowmelt flood (Figure 2b), <br />the suspended sand coarsened (Figure 2<:) and the bed began <br />to scour (Figure 2d). Also, note that in 1954 the maximum bed <br />elevation led the flood peak by about a week. <br /> <br />4.2. Vertical Grain-Size Trends in Predam Flood Deposits <br />in Marble and Grand Canyons <br />Sediment deposited in eddies in the Colorado River pro- <br />vides an accurate record of changes in suspended.sediment <br />grain size during floods [Rubin et al., 1998; Topping el al., 1999, <br />this issue]. To determine trends in grain size recorded in pre- <br />dam flood deposits, we sampled predam flood deposits verti. <br />cally for grain size at six sites in Marble and Grand Canyons <br />during 1997 and 1998 (Figure 1). AI; we [ound in deposits of <br />the 1996 flood experiment [Rubin et al., 1998; Topping et al., <br />1999] and the 1997 test flow [Topping el 01., this issue], the <br />predam flood deposits in the majority of Marble Canyon (i.e., <br />below river mile 2) and Grand Canyon coarsened upward. This <br />coarsening occurred both by a decrease in the percentage of <br />silt and clay and also by coarsening of the sand (Figure 3). The <br />deposit at river mile 1 (at the head of Marble Canyon) did not <br />coarsen upward, however. In this deposit the silt and clay <br />content increased, and the sand fined upward. <br /> <br />4.3. Discussion <br />All [our of the hypothesized effects of sediment supply lim- <br />itation occurred in the predam Colorado River in Grand Can- <br />