Sediment Transport

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Lund-CIRP Transport Equations

Camenen and Larson (2005, 2007, and 2008) developed a general sediment transport formula for bed and suspended load under combined waves and currents.

Bed load

The current-related bed load transport with wave stirring is given by

  (1)

Suspended load

The current-related suspended load transport with wave stirring is given by

  (2)

The reference sediment concentration is obtained from

  (3)

where the coefficient is given by

  (4)

with being the dimensionless grain size and the kinematic viscosity of water.

The sediment mixing coefficient is calculated as

  (5)

Soulsby-van Rijn Transport Formula

  Failed to parse (syntax error): {\displaystyle C_{*} = \frac{A_{sb}+A_{ss}}{ h} \biggl[ \frac{ U^2 + 0.018 \frac{U_{rms}^2}{C_d} \biggr]^{2.4} } (6)

Symbol Description Units
Bed load transport rate m3/s
Relative density m
Shields parameter due to currents -
Shields parameter due to waves and currents -
Critical shields parameter -
Empirical coefficient -
Empirical coefficient -