454 lecture 6
FLUVIAL PROCESSES
Water flowing downhill has kinetic & potential energy due to the
pull of gravity. This energy can be expended in
friction against bed & banks
carrying sediment
internal friction (eddies, turbulence, viscosity)
Velocity reflects the balance between energy causing flow &
energy consumed by resistance to flow
Flow equations describe how energy is distributed in a flow:
eg. Reynolds number, Re
Re = (vRρ)/ μ = driving/resisting
ρ is density, μ is molecular viscosity, R = area/wetted perimeter
Re < 500 laminar Re > 750 turbulent
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Boundary roughness
Internal resistance
Sediment movement
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Flow resistance equations relate velocity to flow parameters:
eg. Chezy v = C √ R SC is constant of proportionality relating to resistance factors
S is slope
eg. Manning v = (1.49/n) R2/3 S1/2
n is Manning roughness coefficient
External resistance caused by
particle size channel irregularities
bedforms structures
vegetation
Internal resistance comes from the amount of sediment being
carried by the water: increases in sediment decrease resistance
as turbulence effects decrease because mixing within the fluid
decreases
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Entrainment: processes that initiate motion of particles from
bed & banks
(amount entrained depends on erosive power of flow relative to
resistance (due to size & packing) of particles)
depositiontransport
erosion
particle size
me
an v
elo
city
Hjulström
Curve
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Competence: size of largest particle stream can entrain under
given hydraulic conditions
Capacity: maximum quantity of sediment transported
Load: actual quantity
A threshold is reached when forces promoting & resisting
entrainment meet; initial movement can be specified either by
critical velocity or critical shear stress – either way, the process
is difficult to model/predict because of stochastic conditions –
special spatial or temporal conditions at the time of entrainment
are unmeasurable due to their transiency
Sediment entrainment can be generalized in the manner of the
Hjulström Curve
Supply-limited or capacity-limited systems
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Wash load – material in solution or suspension
Suspended load – sediment in suspension
Bed material load – rolling, sliding, saltating in contact with the
streambed
DH-48 &samplebottle
Helley-Smith
Downstream, clasts are smaller,
rounder, better-sorted due to
abrasion (mechanical)
sorting (selective entrainment &
differential transport)
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Channel Pattern & Shape
Most common classification is straight
meandering
braided
Straight vs meandering depends on sinuosity
P = (stream length)/(valley length)
P > 1.5 meandering
Straight/meandering vs braided depends on division of river
into more than one channel – arbitrary divisions, which can
change with stage
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Straight
• least common
• have alternate bars with pools & riffles
• spacing analogous to meanders
• thalweg (deepest part of channel) meanders
Meandering
• most common river form
• flow has strong lateral components (helical flow)
• river shifts by eroding on outside of bends & depositing on inside
• meander wavelength related to discharge & width
Meandering channels tend to be narrow & deep, and carry fine
sediments
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pool bar
riffle
thalweg
straight channels
BB’
braided channels
B B’
x-section
plan view
λ
meandering
channels
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northern California
North Fork Poudre River, CO
N. St. Vrain Creek, CO
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North Park,CO
Wood River, Alaska
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Braided channels
• single trunk channel divided into networks of branches with
growth & stabilization of intervening islands
• steep & shallow, with rapid shifts (relative to other channel
types)
Braided channels occur where there are
erodible banks
large volumes of bedload
rapid & frequent discharge variations
Braid bars can be
transverse: perpendicular to current, grow downstream,
have cross-beds
point: on channel margins, beside banks
longitudinal: planar beds, grow downstream
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Bars develop as
• local channel condition allows deposition
• as particles move across reach, they are deposited on the
lower end, where depth increases & velocity decreases
• flow is deflected around widening bar – banks are eroded
• bar emerges as island flanked by two channels
Combined effects of discharge & sediment set stability range
for 3 channel patterns, which shift among each other as these
controls change
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1969 flood boulder train, Jordan River
central AZ Death Valley, CA
coastal PeruArid-region braided rivers
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Matanuska River, Alaska
Jasper National Park, British Columbia
Annapurna region, Nepal
Glacial braided rivers
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Mt. St. Helensarea, WA, 1997
Aggradation above tributary junction, Khumbu, Nepal
upper Amazon basin, Ecuador
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Adjustments in the Fluvial System
discharge
sediment load all mutually adjust &
slope tend toward equilibrium
channel shape
Equilibrium – all of the interacting variables are mutually
adjusted to each other, & to prevailing external
conditions so that, in the absence of perturbations,
the system is stable
Most systems only tend toward equilibrium because different
variables respond differently to change due to lag times &
thresholds
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Leopold & Maddock (1953) hydraulic geometry:
statistical relation between discharge & other variables
w = a Qb
d = c Qf
v = k Qm
a c k = 1 = b + f + m
w, d, v vary in response to Q
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Sequence of bedforms related to increasing flow intensity,& corresponding values of Darcy-Weisbach friction factorin flume experiments (after Simons & Richardson, 1966)
ripples0.052 < ff < 0.13
dunes &superimposedripples
dunes0.042 < ff < 0.16
transition
plane bed0.02 < ff < 0.03
antidunes; standing waves0.02 < ff < 0.036
chute & pool0.07 < ff < 0.09
antidunes;breaking waves0.07 < ff < 0.08
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ripples, Fall River, CO
Dirty Devil River,Utah
sand ripples migrating over gravel, MercedRiver, Yosemite
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point bar stratigraphyGeegully Creek, Australia