On the cross-shore profile change of gravel beaches

Abstract This paper investigates cross-shore profile changes of gravel beaches, with particular regard to discussing the tendency for onshore transport and profile steepening in the swash zone. The discussion includes observed morphological changes on a gravel beach from experimental investigations at the Large Wave Flume (GWK) in Hanover, Germany. During the tests all the profile changes occurred in the swash zone, resulting in erosion below the still water line (SWL) and formation of a berm above the SWL. We investigate the profile evolution evaluating the transport rates from a bed load sediment transport formulation coupled with velocities calculated from a set of Boussinesq equations that have been validated for its use in the surf and swash zones [Lynett, P.J., Wu, T.-R., and Liu, L.-F., P., 2002. Modelling wave runup with depth-integrated equations. Coastal Engineering, 46, 89–107; Otta, A.K., and Pedrozo-Acuna, A., 2004. Swash boundary and cross-shore variation of horizontal velocity on a slope. In: J.M. Smith (Editor), Proceedings 29th International Conference on Coastal Engineering. World Scientific, Lisbon, Portugal, pp. 1616–1628]. We discuss the influence of bottom friction on the predicted profiles, using reported friction factors from experimental studies. It is shown that the use of a different friction factor within a realistic range in each phase of the swash (uprush and backwash) improves prediction of the beach profiles, although quantitative agreement between the measured and computed profile evolutions is not satisfactory. Furthermore, if the friction factor and the transport efficiency ( C ) of the sediment transport formulation are kept the same in the uprush and backwash, accurate representation of profile evolution is not possible. Indeed, the features of the predicted profiles are reversed. However, when the C parameter is set larger during the uprush than during the backwash, the predicted profiles are closer to the observations. Differences between the predicted profiles from setting non-identical C -values and friction factors for the swash phase, are believed to be linked to both the infiltration effects on the flow above the beachface and the more accelerated flow in the uprush.

[1]  Tom E. Baldock,et al.  Large scale experiments on gravel and mixed beaches: Experimental procedure, data documentation and initial results , 2006 .

[2]  A. H. Murphy,et al.  Skill Scores and Correlation Coefficients in Model Verification , 1989 .

[3]  Ole Secher Madsen,et al.  Mechanics of Cohesionless Sediment Transport in Coastal Waters , 1991 .

[4]  K. Holland,et al.  Estimating swash zone friction coefficients on a sandy beach , 2001 .

[5]  S. Elgar,et al.  Observations of swash zone velocities: A note on friction coefficients , 2004 .

[6]  Gerhard Masselink,et al.  Field investigation of sediment transport in the swash zone , 1998 .

[7]  Ian L. Turner,et al.  The influence of swash infiltration–exfiltration on beach face sediment transport: onshore or offshore? , 2001 .

[8]  O. Nwogu Alternative form of Boussinesq equations for nearshore wave propagation , 1993 .

[9]  Magnus Larson,et al.  A Model of Sediment Transport and Profile Evolution in the Swash Zone , 2001 .

[10]  R. Soulsby,et al.  Threshold of Sediment Motion in Coastal Environments , 1997 .

[11]  M. G. Wurtele,et al.  The numerical integration of the nonlinear shallow-water equations with sloping boundaries , 1970 .

[12]  Nobuhisa Kobayashi,et al.  WAVE REFLECTION AND RUN-UP ON ROUGH SLOPES , 1987 .

[13]  Francis C. K. Ting,et al.  Laboratory study of wave and turbulence velocities in a broad-banded irregular wave surf zone , 2001 .

[14]  B. Raubenheimer Observations and predictions of fluid velocities in the surf and swash zones , 2002 .

[15]  Steve Elgar,et al.  Swash on a gently sloping beach , 1995 .

[16]  Paul Russell,et al.  Hydrodynamics and Cross-Shore Sediment Transport in the Swash-Zone of Natural Beaches: A Review , 2000 .

[17]  R. Soulsby Dynamics of marine sands , 1997 .

[18]  P. Nielsen Shear stress and sediment transport calculations for swash zone modelling , 2002 .

[19]  J. Kirby,et al.  Observation of undertow and turbulence in a laboratory surf zone , 1994 .

[20]  H. Hanson Coastal Dynamics 01 , 2001 .

[21]  Franklin Liu,et al.  Modeling wave runup with depth-integrated equations , 2002 .

[22]  D. Huntley,et al.  Velocity predictions for shoaling and breaking waves with a Boussinesq-type model , 2000 .

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

[24]  D. H. Peregrine,et al.  Surf and run-up on a beach: a uniform bore , 1979, Journal of Fluid Mechanics.

[25]  P. Nielsen Coastal Bottom Boundary Layers and Sediment Transport , 1992 .

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

[27]  William Hobensack Numerical prediction of wave transformation, velocity, and bottom stress in the inner surf and swash zone , 2001 .

[28]  Michael G. Hughes,et al.  Friction factors for wave uprush , 1995 .

[29]  J. Kirby,et al.  BOUSSINESQ MODELING OF WAVE TRANSFORMATION, BREAKING, AND RUNUP. II: 2D , 2000 .

[30]  J. G. Griffin,et al.  Direct measurements of bed stress under swash in the field , 2004 .

[31]  M. Heimann,et al.  Impact of vegetation and preferential source areas on global dust aerosol: Results from a model study , 2002 .

[32]  Per A. Madsen,et al.  Surf zone dynamics simulated by a Boussinesq type model. Part I. Model description and cross-shore motion of regular waves , 1997 .

[33]  A. R. Packwood,et al.  The influence of beach porosity on wave uprush and backwash , 1983 .

[34]  J. Ribberink Bed-load transport for steady flows and unsteady oscillatory flows , 1998 .

[35]  Ida Brøker,et al.  A phase-resolving cross shore sediment transport model for beach profile evolution , 1997 .