Exiplosion-Genevated Water Waves 



WAVE CREST LOCUS 



1 1 1 1 1 



OIMENSIONLESS FREE SURFACE ELEVATION 

 .ENVELOPE 



10 20 30 



OIMENSIONLESS TIME t = t!/g7D 



SO 



Fig, 4 Schematic drawing of wave trains as function of time at 

 three different locations (Van Dorn, personal communi- 

 cation) 



Based on this formulation, an equivalent crater size defined 

 by its maximum depth flg^^g^ and radius R can be empirically re- 

 lated to yield W and detonation depth as shown in the following. 



However, the present formulation is oversimplified. The 

 cavity shape (and not only its overall dimension) is a function of 

 submergence depth and charge weight, and the phenomena of the 

 upper critical depth is very sensitive to the manner in which the 

 cavity is formed. 



IV. CORRELATION WITH EXPERIMENTS 



4, 1 Practical Formulation 



In Eq, (13) the cosine term represents the Individual waves, 

 while the remiainder of the expression gives their varying amplitude 

 or envelope which we shall call A: 



