S=O.OI 



Figure 53. Solitary wave runup (from Camfield and Street, 1967). 



because of the shallow depth. Also, this higher, shallow runup may not 

 be representative of prototype runup. O'Brien (1977) points out that a 

 fraction of the uprush percolates into a natural, permeable beach. This 

 percolation tends to partially dissipate the shallow part of the runup 

 observed on the impermeable model beach. 



Kononkova and Reihrudel (1976) studied the runup of solitary waves 

 on uniform slopes which were apparently fronted by a horizontal tank 

 bottom. For nearshore slopes less than 8°, their results were comparable 

 to those of Camfield and Street (1967) . For nearshore slopes greater 

 than 8°, they found runup values higher than the wave height at the shore- 

 line. 



Miller (1968) gives results for borelike waves which act as surge 

 runup on a shoreline. He shows that the runup in this case also takes 

 the initial form of a horizontal water surface at an elevation equal to 

 the wave height at the shoreline, and that the higher runup flows up the 

 slope as a thin sheet. Miller comments that, "In the later stages of 

 runup, the form of the wave was of a thin, fast -moving greatly elongated 

 wedge. " 



The experimental work of Camfield and Street (1967), Miller (1968), 

 and Kononkova and Reihrudel (1976) was for flat, uniform slopes with no 

 convergence of the wave crest . In general , the experiments show that 

 for flatter slopes (less than 8°) the runup height appears equal to or 

 less than the wave height at the shoreline. For steeper slopes, the 

 runup height increases as the slope increases, and the ratio of runup 

 height to wave height at the shoreline appears to reach a maximum value 

 for vertical walls. However, the higher runup on the steeper slopes 

 appears to have a relatively shallow depth. 



Some attempts have been made to develop theoretical solutions. 

 Freeman and Le Mehaute (1964) give a formula for surge runup as 



u 2 (l + A)(l + 2A) 



4 * H 



(310) 



153 



