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Fluvial processes. As with most geomorphic processes, Rivers. • . operate as a function of a dynamic equilibrium. between. - . Driving forces and Resisting forces. Driving Forces include. • . - . Gravity. Resisting Forces include. • . - . Geology. > . rock type, topography. - .
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Fluvial processes As with most geomorphic processes, Rivers • operate as a function of a dynamic equilibrium between - Driving forces and Resisting forces Driving Forces include • - Gravity Resisting Forces include • - Geology > rock type, topography - Friction > channel shape, particle size of channel > molecular
Types of Flow Laminar Flow • - flow lines are parallel - water molecules don't disrupt flow paths of one another - Not a common type of flow in natural settings > channel is usually irregular which contributes to non-laminar flow Turbulent flow • - flow lines are not parallel - flow lines are semi-choatic - flow velocity varies in all directions > shear stresses are transmitted across layers
Flow flow in turbulent conditions • - varies with depth > related to viscosity and channel conditions max flow velocity in the channel • - occurs up from the bottom of the channel - occurs away from the edge of the channel > due to friction with the channel surface
Reynolds Number (R ) e Re = VR / ) ( r • m - where V = mean velocity - R = hydraulic radius = A x P > A= cross-sectional area > P= wetted perimeter - = density of fluid r - = molecular viscosity m often used as prediction tool • - determines at what velocity and depth flow changes from laminar to turbulent > values less than 500 = laminar flow > values more than 750 = turbulent flow > values between 500 to 750 = situational
Froude Number (Fr) Fr = V / (dg) • - where V = mean velocity - d = depth - g = gravity used to differentiate between types of Turbulent • flow - tranquil flow (Fr <1) - critical flow (Fr = 1) - rapid flow (Fr > 1)
Flow and Resistance Chezy equation • - V = C R S > where R = hydraulic radius > S = slope of channel > C= constant of proportionality (a fudge factor!) Manning equation • 1/2 2/3 - V = 1.49/n (R S ) > where n = manning roughness coefficient - assumed as a constant for a range of channel characteristics > sample n values have been calculated for a bunch of different channel types
one of many channels • depicted in the Barnes reference for determining Manning n
Components of sediment transport suspended load • - held aloft by turbulent flow and in some cases colloidal electrostatic forces > the more turbulent the flow, the higher the likelihood that material will be transported in suspension - usually restricted to fine grained particles > coarse grains can travel in suspension, infrequently and for short distances and times Bedload • - sediment rolled, bounced, and scooted along the bottom of the channel > usually associated with coarser particle size fractions
Other means of categorizing the load Wash Load • - particles so small that they are absent from the stream bed Bed material load • - particle sizes found in abundance on the stream bed this categorization scheme is dynamic and can • accommodate the natural variability in stream flow discharge only partly controls wash load (fines) • - sediment supply is a much more limiting factor - most streams can naturally carry much more than they actually do - Bed material load is much more closely related to discharge fluctuations
sediment entrainment most bed load materials travel infrequently • - do so in bursts of motion associated with dramatic increases in energy > i.e., velocity (and indirectly discharge) - maximum size of the particles capable of being transported is called competence - total amount of material the stream carries is called capacity should be an easy thing to determine, but often • isn't
Competence critical bed velocity • - weight or volume of largest particle varies as a function of the sixth power of the velocity > involves ascertaining depth and flow velocity during extreme events critical shear stress (tractive force) • - DuBoys equation t - c = RS g t > where c = critical shear > g = specific weight of water > R= hydraulic radius > S = slope
Stream Power defined by Bagnold to relate the processes, the • velocity, and the particle sizes = QS • w g - where = stream power w = specific weight of water g Q= discharge S= slope divided by width yields stream power per unit • area--> or a function of velocity and shear = QS/width= dSV = V t w g g
Bank erosion generated by two processes • - corrasion > removal of materials by flowing water that exerts a critical shear - this then contributes to a second process > slope failure due to undercutting of the bank > slab failure > often observed when trees drop into the river as banks on which they grow collapse - failure may also result from tension cracks, shrink swell, sapping, or some combination of the above
deposition related to energy as well • - decreases in energy or changes in particle shape can cause sediments to be deposited > coarse stuff first, then finer particles as velocity and or depth changes. - long term deposition is termed aggradation > creates episodes of fill punctuated by episodes of incision > responsible for point bars, gravel bars, terraces, and floodplain formation - vertical aggradation vs lateral migration (point bars)
Geomorphic work when do streams move materials? • - low frequency, high magnitude? or - high frequency, moderate magnitude events? what is the definition of geomorphic work? • - movement of material? - maintenance or modification of channel form? some data indicate most (90%) sediment • movement occurs during normal flow events - sediment is moved during frequent (1-5 year) events > the dominant discharge = approximated by bankfull discharge or the 1.0 to 2.33 yr flood event
other factors include vegetation cover along the channel • recovery time • - has the stream had time to recover > accumulate sediments or re-establish the original channel form environmental conditions • - geologic and topographic setting - climatic variations as well
Hydraulic Geometry streams are in constant state of flux • - discharge and sediment loads vary all the time stream is in equilibrium with these conditions • - Quasi-equilibrium compilation of all kinds of discharge and geometric • data provided statistical relationships for the variable involved - w = aQˆb - d = cQˆf - v = kQˆm > since Q =wdv > Q= (aQˆb) x (cQˆf) x (kQˆm) = ackQˆ(b+f+m) - ackbfm are constants, whereas discharge is the variable
values for b, f, and m avg. values for a statistically significant number • of streams b = 0.26 f = 0.40 m = 0.34 These variables represent what proportion of • total discharge is affected by each dimension at specific locations These 3 variables w, d, v, increase in the • downstream direction - also climate and vegetative cover affect the value of Q
Channel slope concave up longitudinal profile represents a • stream in equilibrium - e.g., the gradient decreases in the downstream direction this helps to explain the general downstream • fining of sediment load - however the slope may in fact be a function of particle size and not vice versa
Channel patterns and shape shape is related to particle size (Schumm, 1971) • -1.08 F = 255 M > where F is depth to width ratio > M is percent clay and silt (fines) - those with more fines have deep narrow channels - those with coarse-grained banks have wider than deeper Channel Shape • - sinuosity= stream length/valley width > straight channels = sinuosity < 1.5 > meandering = sinuosity ≥ 1.5 > braided = any value-not related to sinuosity
Channel terminology thalweg = the area of maximum velocity in the • channel pool = an area of deeper water; may or may not be • slower flowing riffles = areas of shallower water; • point bar = that area on the inside of the channel • meander bend cut bank = that area where the bank is steepend by • erosion on the outside of the meander bend
Characteristics of flow and Channel patterns flow is generally turbulent, but has areas of • convergence and divergence - convergent -flow lines come together, increases energy - divergent- flow lines spread apart, decreases in energy occurs in downstream direction (horizontally) and in • the vertical direction (up and down) - erosion occurs where lines come together - deposition where lines move apart
Origins of meanders hypothesized as a result of helicoidal flow • - spiral in the downstream direction meander size and shape are shown to be related to • - bankfull discharge and sediment size once flow initiates, random convergence and • divergence creates bedforms and areas of erosion when coupled with helicoidal flow it begins to trigger • meanders, even in straight channels