(scales were confirmed by tests made for this condition) are presented in 

 Table 7. Runs 13A and 14A are models of runs 9A and lOA. 



Conditions for the model evaluation tests are given in Table 8; 

 results are shown in Figures 24 to 27. 



These tests failed to verify the model law. The slope (but not 

 position) of the foreshore zone was reproduced fairly well in three of 

 the four tests. The offshore and surf zone profiles were not reproduced. 

 Moreover, the model predicted that the shorelines would prograde signi- 

 cantly; however, the prototype shoreline retreated or prograded only 

 slightly. 



The model law was based upon modeling the slope of the foreshore, 

 and the good agreement between the model and prototype in this region is 

 encouraging for two reasons: (a) Noda's model law is useful in simulating 

 the shape of the foreshore; and (b) the "empirical approach" may be use- 

 ful in establishing scale relationships for distances between particular 

 beach features at other limited ranges of depth. 



The particle Froude and Reynolds numbers under waves vary with depth 

 and time, and, as a result, the mechanics of sediment suspension and 

 transport cannot be reproduced at all depths simultaneously. At most, a 

 model law can only be correct over a limited depth range; for this model 

 law it is the foreshore zone. 



The lack of repeatability in the position of the bar suggests that the 

 equilibrium profile should not be used as a basis for modeling. 



V. COMPARISON WITH OTHER PROFILES 



Several investigators (discussed previously) have proposed relation- 

 ships for the value of certain physical characteristics of beach profiles, 

 and Sitarz (1963) and Nicholson (1968) are the most prominent. The 

 experimental data gathered in this study can be compared with some of their 

 relationships . 



Sitarz (1963) proposed two principal relationships: 



Xo = Ai (Y')"°-^ Dl"*^-^ H^-^ (19) 



and 



where , 



2A,-\r)'-' ^l'-' n'-' , (20) 



distance offshore measured from the beach crest to the origin 

 of a parabola defining the offshore profile. This distance is 

 close to the breaker to beach crest distance (in meters); 



53 



