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Sediment Transport Outline
Incipient motion criteria for unisize and mixed-size sediments Modes of sediment transport Bedload transport Suspended load Bedforms
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Incipient Motion
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Forces Acting on Stationary Grain
(Middleton and Southard, 1984)
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Threshold of Motion (Shields,1936; Julien, 1998)
(Middleton and Southard, 1984)
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Smooth Transitional Rough Motion No Motion (Miller et al., 1977)
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Sample Calculation What is c for D = mm quartz-density particle?
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Entrainment of mixed-size sediment
Due to: Relative Protrusion Pivoting angle
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Relative Protrusion
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Pivoting Angle
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Threshold of Motion for a Stationary Grain (Unisize or Graded Sediment)
Wiberg and Smith (1987), Bridge and Bennett (1992), + many others
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Entrainment of mixed-size sediment
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Sample Calculation What is c for and m quartz-density particles in a mixture with D50 = m? Using Shields for unisize sediment 0.7 Pa 7.3 Pa
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Sediment Transport
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Modes of sediment transport
(Leeder, 1999)
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Criteria for Sediment Transport Modes
Bedload: Suspended bed material: Washload: D mm
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Modes of sediment transport
Washload: D mm (Bridge, 2003)
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Bedload Transport Equations
Meyer-Peter and Muller (1948) Bagnold (1966)
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Measuring bedload transport
Bedload traps (K. Bunte) Helley-Smith sampler
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Bedload Transport Observations
HS trap Gravel-bed streams (Bunte et al., 2004) Gravel-bed stream (Cudden & Hoey, 2003) HS
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Bedload Transport Equations
Wilcock & Crowe (2003) Reference threshold condition Hiding function Reference dimensionless shear stress for median size base don fraction of sand Transport rate based on t/tri
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Bedload Transport Equations
Barry et al. (2004) Meyer-Peter and Muller (1948) Abrahams and Gao (2006; following Bagnold, 1966, 1973) Bagnold (1966)
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Predicting bedload transport
Abrahams and Gao (2006) following Bagnold (1966, 1973) Barry et al. (2004)
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Predicting bedload transport
(a) Meyer-Peter and Müller [1948] equation by d50ss (b) Meyer-Peter and Müller equation by di (d) Bagnold equation by dmss (c) Ackers and White [1973] equation by di (e) Bagnold equation by dmqb (e) Bagnold equation by dmqb (g) Parker et al. [1982] equation by di (Parker et al. hiding function) (h) Parker et al. [1982] equation by di (Andrews [1983] hiding function) Predicting bedload transport (Barry et al., 2004)
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Suspended Sediment Simple criterion for suspension: (van Rijn, 1993)
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Measuring suspended load transport
DH59 – Hand line Sampler DH48 – Wading Sampler D74 – Hand line Sampler Others: Super-critical flumes, ISCO, OBS, Acoustics
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Suspended Sediment Sediment-diffusion balance (equilibrium):
downward settling + upward diffusion Total suspended load Rouse equation:
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Suspended sediment profiles and Rouse equation
Z (van Rijn, 1993)
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Ripples Dunes Bedload sheet Upper-stage plane beds
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Bedform Stability
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Suspended Load Observations
Mobile orbital ripples with acoustic probes, P. Thorne Mobile river dunes with acoustic probe, Wren et al. (2007) Stochastic simulation, Man (2007)
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Sediment Transport and Stream Restoration
Deficient or excessive sediment transport based on design discharge will result in erosion or deposition, which can redirect flow and threaten infrastructure and ecologic indices Sediment transport prediction depends on grain size, gradation, and bed topography Uncertainty can be large Excludes bank erosion and wash load Use multiple relationships
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Sediment Transport Conclusions
Threshold conditions defined by Shields criterion Modes of sediment transport depend on Shields criterion and grain size Bedload and suspended load transport treated separately Load is modulated by bedforms
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