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A History of Research and a Review of Recent Developments

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54<br />

<strong>and</strong> 50%, rather than by a factor <strong>of</strong> 2, so a good deal <strong>of</strong> shock wave energy<br />

was transmitted <strong>and</strong> dispersed on the bottom.<br />

Surface waves can be generated by underwater explosions or by air bursts<br />

close to the water surface. In the case <strong>of</strong> underwater explosions the outward<br />

propagating waves result from the gas bubble breaking through the surface,<br />

<strong>and</strong> in deep water explosions it is usually assumed that between 2% <strong>and</strong> 5% <strong>of</strong><br />

the yield <strong>of</strong> the charge is directed to the energy <strong>of</strong> the train <strong>of</strong> surface waves.<br />

When the detonation is in relatively shallow water, there is <strong>of</strong>ten only an initial,<br />

solitary wave, particularly for very large nuclear explosions. After the 20 kiloton<br />

shallow water explosion at Bikini, mentioned earlier, wave heights <strong>and</strong> times <strong>of</strong><br />

arrival were recorded at increasing distances from the detonation point (surface<br />

zero). At distances <strong>of</strong> 330, 2000 <strong>and</strong> 4000 yards the arrival times were 11, 74<br />

<strong>and</strong> 154 seconds respectively, <strong>and</strong> the wave heights were 94, 16 <strong>and</strong> 9 feet.<br />

Characteristic properties <strong>of</strong> the underwater shock wave from nuclear<br />

explosions have been given by Glasstone <strong>and</strong> Dolan [2.9]. For water with no<br />

reflections or refractions the relationship between peak instantaneous underwater<br />

shock pressure in psi <strong>and</strong> the slant range in thous<strong>and</strong>s <strong>of</strong> yards is given in Figure<br />

2.21. Approximate relationships have been established for surface wave amplitude<br />

(H) <strong>and</strong> radius (R) from surface zero for nuclear explosions as follows:<br />

In deep water, 850 W 1/4 >d>256 W 1/4 , where W is yield in kilotons <strong>of</strong> TNT<br />

equivalent, <strong>and</strong> d is water depth in feet,<br />

where H <strong>and</strong> R are measured in feet.<br />

In shallow water, d

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