A General Formula for Noncohesive Suspended Sediment Transport

Abstract A simple and robust suspended load transport formula for noncohesive sediment is presented for application to river, estuarine, and coastal environments with the use of depth-averaged models. The formula is based on an exponential profile for the concentration and assumes a constant velocity over depth to simplify the calculations. These assumptions were validated with a large data set, including data with a steady current, wave and current interaction, and breaking waves. The formula has two parameters: the mean sediment diffusivity over depth and the bottom reference concentration. The sediment diffusivity is estimated assuming a linear combination of mixing because of breaking waves and the energy dissipation in the bottom boundary layer from the mean current, waves, or both. The bottom reference concentration is a function of the Shields parameter. Overall, the formula developed in this study yields the best agreement with the compiled data set compared with a number of existing formulas for estimating the suspended load.

[1]  Hunter Rouse,et al.  Experiments on the Mechanics of Sediment Suspension , 1939 .

[2]  A. G. Anderson Distribution of suspended sediment in a natural stream , 1942 .

[3]  R. Müller,et al.  Formulas for Bed-Load transport , 1948 .

[4]  H. Einstein,et al.  The Bed-Load Function for Sediment Transportation in Open Channel Flows , 1950 .

[5]  Emmett M. Laursen,et al.  The Total Sediment Load of Streams , 1958 .

[6]  Kenneth C. Wilson,et al.  Bed-Load Transport at High Shear Stress , 1966 .

[7]  F. Engelund,et al.  A monograph on sediment transport in alluvial streams , 1967 .

[8]  E. W. Bijker LITTORAL DRIFT AS FUNCTION OF WAVES AND CURRENT , 1968 .

[9]  S. Murray Settling velocities and vertical diffusion of particles in turbulent water , 1970 .

[10]  James A. Bailard,et al.  An energetics total load sediment transport model for a plane sloping beach , 1981 .

[11]  Neil L. Coleman,et al.  VELOCITY PROFILES WITH SUSPENDED SEDIMENT , 1981 .

[12]  B. Mutlu Sumer,et al.  Particle motions near the bottom in turbulent flow in an open channel. Part 2 , 1978 .

[13]  A. Watanabe Numerical Models of Nearshore Currents and Beach Deformation , 1982 .

[14]  I. A. Svendsen Mass flux and undertow in a surf zone , 1984 .

[15]  M. Stive Energy dissipation in waves breaking on gentle slopes , 1984 .

[16]  L. Rijn Sediment Transport, Part II: Suspended Load Transport , 1984 .

[17]  R. Dean,et al.  Suspended Sediment Transport and Beach Profile Evolution , 1984 .

[18]  Van Rijn,et al.  Sediment transport; Part I, Bed load transport , 1984 .

[19]  Peter Nielsen,et al.  Field measurements of time-averaged suspended sediment concentrations under waves , 1984 .

[20]  H. Dette,et al.  CHAPTER 79 VELOCITY AND SEDIMENT CONCENTRATION FIELDS ACROSS SURF ZONES , 2022 .

[21]  Peter Nielsen,et al.  Suspended sediment concentrations under waves , 1986 .

[22]  Martin W. C. Nieuwjaar,et al.  Sediment transport concentrations and sediment transport in case of irregular non-breaking waves with a current , 1987 .

[23]  Kenneth C. Wilson,et al.  Friction of wave-induced sheet flow , 1989 .

[24]  A. Kroon Suspended Sediment Concentrations in a Barred Nearshore Zone , 1991 .

[25]  J. H. Berg,et al.  Sediment Transport of Fine Sands at High Velocities , 1991 .

[26]  F. J. Havinga,et al.  Sediment concentrations and sediment transport in case of irregular non-breaking waves with a current , 1992 .

[27]  L. Rijn Principles of sediment transport in rivers, estuaries and coastal seas , 1993 .

[28]  Peter Nielsen,et al.  Turbulence Effects on the Settling of Suspended Particles , 1993 .

[29]  M. Dentith,et al.  Correction to “Inversion of borehole breakout orientation data” by Wei Qian and Laust Børsting Pedersen , 1994 .

[30]  Jan S. Ribberink,et al.  Sediment transport in oscillatory boundary layers in cases of rippled beds and sheet flow , 1994 .

[31]  M. Larson MODEL FOR DECAY OF RANDOM WAVES IN SURF ZONE , 1995 .

[32]  R. Soulsby Dynamics of marine sands : a manual for practical applications , 1997 .

[33]  Marian Muste,et al.  Velocity Profiles for Particles and Liquid in Open-Channel Flow with Suspended Sediment , 1997 .

[34]  Michael Collins,et al.  Sediment resuspension on beaches: response to breaking waves , 2000 .

[35]  P. Thorne,et al.  Measurements of suspended sediment transport parameters in a tidal estuary , 2001 .

[36]  N. Kraus,et al.  Cross-shore distribution of longshore sediment transport: comparison between predictive formulas and field measurements , 2001 .

[37]  J. Graaff,et al.  SEDMOC, Sediment transport modelling in marine coastal environments , 2001 .

[38]  N. Kraus,et al.  Mathematical Model for Rapid Estimation of Infilling and Sand Bypassing at Inlet Entrance Channels , 2001 .

[39]  D. Hanes,et al.  Sheet flow dynamics under monochromatic nonbreaking waves , 2002 .

[40]  Ernest R. Smith,et al.  Longshore sand transport - initial results from large-scale sediment transport facility , 2002 .

[41]  Effective Form Roughness of Ripples for Waves , 2004 .

[42]  P. Nielsen,et al.  Turbulent diffusion of momentum and suspended particles: A finite-mixing-length theory , 2004 .

[43]  M. Boers Surf Zone Turbulence , 2005 .

[44]  Magnus Larson,et al.  A general formula for non-cohesive bed load sediment transport , 2005 .

[45]  Prediction of ripple properties in shelf seas-Mark 1 Predictor , 2005 .

[46]  J. Ribberink,et al.  Wave-induced sediment transport processes in the ripple regime , 2005 .