A. Simon et Se. Darby, PROCESS-FORM INTERACTIONS IN UNSTABLE SAND-BED RIVER CHANNELS - A NUMERICAL MODELING APPROACH, Geomorphology, 21(2), 1997, pp. 85-106
A deterministic numerical model of bed deformation and channel widenin
g, which accounts for specific mechanisms of bank erosion and collapse
, is used to analyze morphological and flow-energy parameters in adjus
ting sand-bed channels, for a range of simulated fluvial environments.
The model is based on a set of conservation and process equations sol
ved in conjunction with a set of specific initial and boundary conditi
ons. Simulated channels with a range of assumed boundary-material char
acteristics were subjected to identical disturbances imposed by reduci
ng the supply of sediment from upstream. Asymptotic reductions of the
rate of energy dissipation (energy slope) and boundary shear stress we
re found to be unifying characteristics of channel adjustment in all s
imulations. Morphologic responses to an identical disturbance (reducti
on of sediment supply from upstream), with identical bed material (d(5
0) = 1 mm) and channel gradient (S-b = 0.001), were diverse. The relat
ive magnitude of simulated widening versus simulated bed-level change
was greatest for sand-bank channels and least for clay-bank channels.
Stable-channel dimensions were attained most rapidly for silt-bank cha
nnels, where simulated adjustments of channel width were similar to si
mulated vertical adjustments, because all components of total-mechanic
al energy (flow depth or pressure head; bed elevation and channel grad
ient or datum head; and flow velocity or velocity head) decrease simul
taneously. Each simulated channel subjected to the baseline disturbanc
e had an initial width-to-depth ratio (F) of 13.5. Asymptotic values o
f energy dissipation rate, adjusted F-values, and time taken to reach
equilibrium after the disturbance are shown to vary as a function of s
imulated environmental boundary conditions. The importance of channel
widening in controlling and reducing the flow depth of a given dischar
ge and average boundary shear stress is highlighted for the silt-and s
and-bank cases. Channel widening causes a shift from degradation to ag
gradation during adjustment, because of delivery of sand-sized sedimen
ts from failed bank material to the simulated channel. (C) 1997 Elsevi
er Science B.V.