7.2 Probability Density Functions of Damage, Eroded Depth, and Cover Depth 



The probability density functions of S*,E*, and C* are shown in Figures 

 7.2, 7.3, and 7.4, respectively, with Series D', £", F' and G' combined onto each figure. 

 These figures can be compared to Figures 5.2, 5.3, and 5.4 for Series A', B', and C, 

 respectively. The figures indicate that the variability of the eroded profile and eroded 

 area for the new series are similar to those of Series A',B', and C The limits of 

 variability remain as prescribed by Equation 5.10 or approximately in the range from 

 -3.0 to 3.0. It is noted that the damage and eroded depth distributions are negatively 

 skewed while the cover depth is positively skewed. This indicates that more cross 

 sections have less normalized damage and larger normalized cover layer thickness. 

 Relatedly, the negative tails of the damage and eroded depth distributions are less 

 populated for Series D', £", F' and G' than for Series A', B', and C, particularly below 

 normalized values of -2. As will be described in the following sections, wave energy 

 and therefore damage levels were lower for the new series than for Series A', B', and C. 

 The damage increased rapidly at low damage levels, 5^= 0-1, resulting in few damage 

 measurements at these low damage levels. 



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