An energetics total load sediment transport model for a plane sloping beach

Bagnold's energetics-based total load sediment transport model for streams is used as a basis for the development of a total load model of time varying sediment transport over a plane sloping bed. In both the bedload and suspended load, the transport rate vectors are found to be composed of a velocity-induced component directed parallel to the instantaneous velocity vector and a gravity-induced component directed down slope. The model is applied to idealized surfzone conditions, leading to estimates of the local longshore and onshore-offshore sediment transport rates as well as the equilibrium beach slope as a function of the local wave and current conditions. The model is combined with a nonlinear longshore current model and spatially integrated to obtain predictions of the total longshore transport rate as a function of the incident wave conditions. The results support the general form of the wave power equation except that the wave power coefficient is no longer constant but is instead a complex function of the incident wave and beach characteristics.

[1]  Douglas L. Inman,et al.  Wave ‘set-down’ and set-Up , 1968 .

[2]  O. Madsen,et al.  Combined wave and current interaction with a rough bottom , 1979 .

[3]  B. Johns.  The modelling of the approach of bores to a shoreline , 1979 .

[4]  P. Komar.  Beach Sand Transport: Distribution and Total Drift , 1977 .

[5]  D. Huntley.  LATERAL AND BOTTOM FORCES ON LONGSHORE CURRENTS , 1976 .

[6]  E. W. Bijker.  Longshore Transport Computations , 1971 .

[7]  Ivar G. Jonsson,et al.  EXPERIMENTAL AND THEORETICAL INVESTIGATIONS IN AN OSCILLATORY TURBULENT BOUNDARY LAYER , 1976 .

[8]  D. Inman,et al.  An energetics bedload model for a plane sloping beach: Local transport , 1981 .

[9]  Thorndike Saville,et al.  Model study of sand transport along an infinitely long, straight beach , 1950 .

[10]  Michael Selwyn Longuet-Higgins,et al.  Mass transport in water waves , 1953, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[11]  M. S. Longuet-Higgins,et al.  Longshore currents generated by obliquely incident sea waves: 2 , 1970 .

[12]  I. G. Jonsson.  A new approach to oscillatory rough turbulent boundary layers , 1980 .

[13]  O. Madsen,et al.  An analysis of longshore currents and associated sediment transport in the surf zone , 1979 .

[14]  A J Bowen,et al.  Simple Models of Nearshore Sedimentation, Beach Profiles and Longshore Bars , 1980 .

[15]  R. Bagnold.  An approach to the sediment transport problem from general physics , 1966 .

[16]  D. Inman,et al.  Longshore sand transport on beaches , 1970 .

[17]  Ole Secher Madsen,et al.  LONGSHORE SEDIMENT TRANSPORT DATA: A REVIEW , 1978 .

[18]  M. Longuet-Higgins.  Recent Progress in the Study of Longshore Currents , 1972 .

[19]  P. Komar.  Relative quantities of suspension versus bed-load transport on beaches , 1978 .

[20]  E. Thornton,et al.  Local and shoaled comparisons of sea surface elevations, pressures, and velocities , 1980 .

[21]  E. Thornton.  DISTRIBUTION OF SEDIMENT TRANSPORT ACROSS THE SURF ZONE , 1972 .

[22]  S. R. McLean,et al.  Spatially averaged flow over a wavy surface , 1977 .

[23]  I. James.  A non-linear theory of longshore currents , 1974 .

[24]  D. H. Swart,et al.  PREDICTIVE EQUATIONS REGARDING COASTAL TRANSPORTS , 1976 .

[25]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[26]  P. Komar.  The mechanics of sand transport on beaches , 1971 .