Finite Rectangular Beach Fill 



33. The solution to this problem in connection with shoreline change is 

 first mentioned by Le Mehaute and Soldate (1977). At time t = , the shore- 

 line has a rectangular shape of finite length 2a described by Equation 15 

 (see Figure 7) : 



y(x,0) = f(x) = < 



(15) 



The solution is 



y(x,t) = ^ Y 



erf 



2/et 



+ erf 



m 



(16) 



for t > and -°° < x < 



6 °-6- 



0.S 1 



ALONGSHORE DISTANCE (x/a) 



1.5 



Figure 7. Shoreline evolution of an initially rectangular beach 

 fill exposed to waves arriving normal to shore 



19 



