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A History of Research and a Review of Recent Developments

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36<br />

The detonation <strong>of</strong> explosive charges<br />

Table 2.1<br />

For explosives other than TNT it is necessary to multiply the expressions<br />

for p 0 by a further factor E, where E is an energy factor determined by the<br />

type <strong>of</strong> explosive. Lampson gave these for some common explosives <strong>of</strong> the<br />

time (mostly outdated now) (see Table 2.2).<br />

The coefficient f in Eq. (2.3) is related to the depth <strong>of</strong> burial, H, by another<br />

curve given by Lampson in reference [2.12]. At shallow burial depths the<br />

earth above the ‘chamber <strong>of</strong> compression’ formed by the explosive gases will<br />

break up <strong>and</strong> be projected into the air, forming a crater. As a result the energy<br />

available to push the shock front through the soil will be lowered, <strong>and</strong> the<br />

value <strong>of</strong> p 0 from Eq. (2.3) will be reduced. However, if the pressure <strong>of</strong> the<br />

confined gases is not sufficient to lift the overburden <strong>of</strong> soil the chamber will<br />

be left intact, forming what is known as a ‘camouflet’. At the time <strong>of</strong> Lampson’s<br />

review <strong>of</strong> experimental results the relationship between f <strong>and</strong> H for clay silt<br />

was as shown in Figure 2.11, with an optimum value <strong>of</strong> f (=1) occurring when<br />

H/W 1/3 =2 ft/lb 1/3 .<br />

Thus a charge <strong>of</strong> 1000 lb <strong>of</strong> TNT would have to be buried 20 feet to ensure<br />

the formation <strong>of</strong> a camouflet in this type <strong>of</strong> soil, whereas a charge <strong>of</strong> 500 lb<br />

TNT would need to be buried 16 feet. At depths <strong>of</strong> burial greater than the<br />

optimum there was a slight reduction in p 0 (i.e. f>1) because the effect <strong>of</strong> the<br />

reflected shock wave from the underside <strong>of</strong> the soil surface began to diminish.<br />

This reduction was <strong>of</strong>ten ignored in design calculations.<br />

Table 2.2

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