in which d is the profile depth at c, and g is the depth at 3c. 

 Figure D-1 is a semilogarithmic plot of f versus 1. 



4. Combination Term . 



A combining function is necessary to define the influence of the 

 ramp and shoreface profiles (eqs. D-1 and D-8) as they asymptotically 

 merge. An analysis of various smooth-type shoreface profiles, such as 

 profile line 15 in Figure 4, indicates that approximately 88 percent of 

 the change from the shoreface to the ramp sector shape occurs between 

 X = 2c and x = 3c; i.e., about 88 percent of the shape of the actual 

 profile in that region can be described using equation (D-8) . The term 

 that approximates the influence of both the shoreface and the ramp in 

 that region is 



■'■%} 



G = exp \3c/ (D-11) 



in which the constant 2.8 ensures that less than 6 percent of the 

 profile at X = 3c is influenced by the shoreface sector, and that less 

 than 6 percent of the profile at x = 2c is influenced by the ramp sec- 

 tor. The value 3c is considered to be the seaward limit of the 

 shoreface. 



5. Inner Continental Shelf Profile Equation . 



Four constants: a = ramp slope, b = ramp intercept depth at the 

 shoreline, c = seaward limit of upper shoreface, and d = depth at c, 

 are combined in the equation for the Inner Continental ■ Shelf profile: 



z = (1 - G) (ax + b) + G [g(l - exp '^)^J (D-12) 



Points on the profiles in Figure 4 and Appendix C are depth-distance 

 points obtained using equation (D-12). An APL computer program of 

 equation (D-12) is in Appendix E. 



90 



