NSWC/WOL TR 76-15 5 



the parameter values, 0.055 and 125, fitted to the experimental data. 

 The parameter value 0.055 was obtained by considering all of the Spot 

 and White Perch data, levels 1, 2 and 3 from the two test series. 

 The parameter value 125 -- the value of Z corresponding to 50% 

 injury probability -- is the maximum likelihood fit value to the 

 level 3 injury data for Spot. 



Equation 3.2.1 is considered to be a sufficiently precise 

 representation of the data for most applications, such as those 

 described in Section 4 of this report. 



3.3 OBSERVED INJURIES TO WHITE PERCH VS CALCULATED OSCILLATION 

 PARAMETER 



Figure 3.3.1 shows the experimentally observed injuries to 

 White Perch on the 1973 and 1975 tests (as shown in each row of 

 Table 3.1.4) plotted as a function of Z . To investigate the 

 functional dependencies we constructed Table 3.3.1 and Figure 3.3.2 

 from the data presented in Table 3.1.4. The plot shown in Figure 

 3.3.2 for level 3 injuries exhibits excessive scatter. Perhaps 

 these level 3 injuries to White Perch are more closely related to 

 some other parameter of the bladder oscillation, but it did not 

 appear worthwhile to investigate that possibility. 



Figure 3.3.3 shows the averaged injury data for both Spot and 

 White Perch (Tables 3.2.1 and 3.3.1) plotted as a function of Z. The 

 curves were drawn by eye through the combined data. These plots 

 support the viewpoint of this report that the observed injuries to 

 both species of fish -- Spot and White Perch -- are described by the 

 same damage functions. (The coefficients — Equations 3.1.7 and 

 3.1.8 -- for the effective bladder radii used in the dynamical 

 response calculations are different for the two species of fish, 

 however. ) 



42 



