EM 1110-2-1100 (Part II)
31 July 2003
Figure II-4-11.
Definition sketch for wave runup
Figure II-4-12.
Definition of runup as local maximum in elevation
a. Regular waves.
(1) For breaking waves, Hunt (1959) empirically determined runup as a function of beach slope, incident
wave height, and wave steepness based on laboratory data. Hunt's formula, given in nondimensional form
(Battjes 1974), is
R
' ξo
for 0.1 < ξo < 2.3
(II-4-26)
Ho
for uniform, smooth, impermeable slopes, where ξo is the surf similarity parameter defined in Equation II-4-1.
Walton et al. (1989) modified Equation II-4-26 to extend the application to steep slopes by replacing tan β
in the surf similarity parameter, which becomes infinite as β approaches π/2, with sin β. The modified Hunt
formula was verified with laboratory data from Saville (1956) and Savage (1958) for slopes of 1/10 to
vertical.
(2) The nonbreaking upper limit of runup on a uniform slope is given by
Surf Zone Hydrodynamics
II-4-17
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