Jose de la Peña, Jose Sanchez, Roberto Diaz, Manuel Martin


Several formulations deduced from empirical studies are available for runup estimation. Scattering is high when applied to practical cases. Through a state of the art best formulations are chosen. This equations are also studied in a physical model carried out in the Laboratory for Maritime Experimentation of CEDEX with three beaches with slopes 1/20, 1/30 and 1/50 and with sand bed. The performance of each formulation is discussed. A new formulation is proposed in order to give more weight to the beach slope thus reducing scatter.


runup; swash; setup; beach processes

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Ahrens, J.P., Seeling, W.N., 1996. Wave runup on beaches. 25th International Conference on Coastal Engineering, ASCE, 981-993.

Battjes, J.A., 1974. Surf Similarity. Coastal Engineering . Proceedings of the 14th Coastal Engineering Conference, 466-480.

Channel, A.R., Stevenson, A.T., Brown, R., 1985. Run up on shingle beaches. Hydraulic research limited, Wallingford SR 72.

Douglass, S.L., 1990. Estimating Runup on Beaches: A Review of the State of the Art. CERC-90-3, U.S Army Engineer Waterways Experiment Station.


Guza, R.T., Thornton, E.B., 1982. Swash Oscillations on a Natural Beach. Journal of Geophysical Research-Oceans and Atmospheres 87, 483-491.

Hedges, T.S., Mase, H., 2004. Modified Hunt's equation incorporating wave setup. Journal of Waterway Port Coastal and Ocean Engineering-Asce 130, 109-113.

Holman, R.A., 1986. Extreme Value Statistics for Wave Run-Up on a Natural Beach. Coastal Engineering 9, 527-544.

Hughes, M.G., Moseley, A.S., Baldock, T.E., 2010. Probability distributions for wave runup on beaches. Coastal Engineering 57, 575-584.

Hunt, I.A., 1959. Design of seawalls and breakwaters. J. Waterways and Harbors Division, ASCE, Vol. 85, No. WW3.

Iribarren, C.R., Nogales, C., 1949. Protection des Ports, Section I, cOMM. 4, XVIIth International Navigation Congress.

Kiyoshi Horikawa, 1988. Nearshore Dynamics and Coastal Processes, University of Tokio Press, 522.

Kobayashi, N., 1997. Wave Run-up and Overtopping on beaches and coastal structures, Advances in Coastal and Ocean Engineering, World Scientific, 5, 95-154.

Longo, S., Petti, M., Losada, I.J., 2002. Turbulence in the swash and surf zones: a review. Coastal Engineering 45, 129-147.

Mase, H., 1989. Random Wave Runup Height on Gentle Slope. Journal of Waterway, Port, Coastal, and Ocean Engineering 115, 649-661.

Mase, H., Iwagaki, Y., 1984. Run-up of random waves on gentle slope. 19th International Conference on Coastal Engineering ASCE, 593-609.

Mase, H., Miyahira, A., Hedges, T.S., 2004. Random wave runup on seawalls near shorelines with and without artificial reefs. Coastal Engineering Journal. 46, 247-268.

Miche, R., 1951. Mouvements ondulatoires de la mer en profondeur constante ou décroissante. Annales des Ponts et Chaussées .

Nielsen, P., Hanslow, D.J., 1991. Wave Runup Distributions on Natural Beaches. Journal of Coastal Research 7, 1139-1152.

Resio, D.T., 1987. Extreme runup statistics on natural beaches. U.S. Army Corps of Engineers, CERC 87-11, Miscellaneous Paper. U.S. Army Corps of Engineers, Coastal Engineering Research Center.

Ruggiero, P., Komar, P.D., McDougal, W.G., Marra, J.J., Beach, R.A., 2001. Wave runup, extreme water levels and the erosion of properties backing beaches. Journal of Coast. Research. 17, 407-419.

Stockdon, H.F., Holman, R.A., Howd, P.A., Sallenger, A.H., 2006. Empirical parameterization of setup, swash, and runup. Coastal Engineering 53, 573-588.

Van der Meer, J.W., 1988. Rock slopes and gravel beaches under wave attack. Doctoral thesis, Delft University of Technology. Delft Hydraulics Publication no. 396.

Van Dorn, W.G., 1976. Set-up and Run-up in shoaling breakers. Proceedings of the 19th Coastal Engineering Conference, 738-751.

Van Oorshot, J.H., D'Angremont K., 1968. The effect of wave energy spectra on wave run-up. Proceedings of the 11th Coastal Engineering Conference, 888-900.