B = overtopping volume per wave 



9 = structure slope 



F = freeboard 



R = runup as defined in Figure 1 



29. The monochromatic-wave runup formula Battjes uses in his derivation 

 of Equation 14 is from Hunt (1959). Battjes (1972) has shown that Hunt's 

 formula well describes the runup created by breaking waves. The laboratory 

 work Battjes uses is from Battjes and Roos (1975). They investigate the 

 geometry of runup on smooth slopes and relate the volume of water on a 

 structure slope at the instant of maximum runup to the incident monochromatic 

 wave conditions. The coefficient 0.1 and the exponent 2 in Equation 6 are 

 found by fitting the equation to Saville's data (Figure 8). 



Figure 8. Battjes monochromatic-wave 

 overtopping equation with Saville's 

 data (from Battjes 1974) 



10"' 



1 ' / 









b /°>"-Ti> 2 ~^jF 





/' 



10" 2 



- - ./••: - 





. ./ ■ 





. /• : 





/ . 





■7 



1(1-3 



/ , , 



F 



~"r" 



30. Substituting Hunt's formula into Equation 14 gives 



3/2 2 

 B = 0.1 (cot e)(R - F) 



(15) 



The runup R is the only parameter on the right-hand side of this equation 



17 



