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SEDIMENT YIELD FROM WATERSHEDS 7.8
Williams (1989) has classified single event C-Q graphs into five categories:
Name Characteristic Occurrence
Class I Single-value line Rare
Class II Clockwise loop Common
Class III Counterclockwise loop Common
Class IV Single line plus loop Rare
Class V Figure Eight ?
The form of each class is illustrated in Fig. 7.6, showing the basic relationship between
the timewise variation in discharge and sediment concentration, and the resulting single-
event C-Q graph configuration.
If sediment concentration varies directly as a function of discharge, then it will be
possible to construct a single-value relationship relating sediment concentration (and
sediment load) to water discharge. This condition is represented by the Class I curve in
which discharge and concentration rise and fall simultaneously, and, when skewed, both
discharge and concentration are symmetric. The Class I curve implies uninterrupted
sediment supply through the flood, and sediment concentration should be directly related
to hydraulic factors alone. This condition is not typical; the temporal graphs of water and
sediment discharge in most field data are not symmetric. However, most sediment rating
curves are constructed by using one or several single-value functions.
The Class II, or clockwise hysteresis loop, is well-known and occurs commonly. This
pattern usually occurs when sediment concentration peaks before discharge, but under
certain conditions a clockwise loop can occur when the concentration and discharge
peaks occur simultaneously. Clockwise C-Q loops may be attributed to three causes: (1)
The readily erodible material in the watershed or the sediment accumulated in the
channel since the previous flood is washed out prior to the storm peak, and sediment load
becomes increasingly supply limited over the duration of the event. (2) Sediment supply
available from the bed may become limited prior to the peak discharge because of the
development of an armor layer. (3) Variations in rainfall and erodibility across the
watershed can concentrate sediment discharge from areas of high sediment production
near the basin outlet during the rising limb of the hydrograph. Some methods of routing
sediment through reservoirs take advantage of clockwise loops, passing, sediment-laden
water through the impoundment during the rising limb of the hydrograph, and storing the
clearer water from the falling limb. In urban water-quality detention basins, the opposite
effect is desired: sediment-laden first-flush water from the rising limb is captured while
cleaner water from the remainder of the storm is discharged to the environment.
Class III C-Q relationships, counterclockwise loops, may also be attributed to three
causes. (1) In longer rivers the change in discharge tends to increase as a function of
wave velocity, which is generally faster than the mean flow velocity of the stream (which
is also the transport velocity of the sediment), causing sediment to lag increaingly behind
the discharge peak as the flood wave moves downstream. This difference is magnified
when floods pass through lakes or other detention areas which can have high wave
velocities but slow sediment movement. (2) High soil erodibility in conjuncion with
prolonged erosion during the flood, including gully erosion, have been reported to cause
counterclockwise loops in erodible loessal soils. (3) Variability in rainfall and erodibility
across the watershed can cause high sediment discharge from distant portions of the
watershed to arrive during the declining limb of the hydrograph. The complex Class IV
pattern combines causal factors associated with Classes I and either II or III.