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Long range shock waves from a large explosion underwater: experiment and data<br />

8: Calculated using ala = 1.985 or a = 0.33, appropriate for soft<br />

unconsolidated sediment near to the surface.<br />

It is worth noting possible values which are appropriate for Poisson'<br />

ratio. Assumpcao & Bamford's (1978) LISPB results show typically a = 0.25<br />

except in the upper crust south of the Southern Uplands fault (a = 0.231)<br />

and in the middle crust under the Midland Valley (a = 0.224). However,<br />

higher values are expected near to the surface where there are soft or<br />

unconsolidated sediments; this is supported by laboratory and field<br />

measurements e.g. a = 0.33. Poisson's ratio links « and a as follows:<br />

'h<br />

« = [2(1-a)/(1-2a)] a,<br />

(6.1)<br />

« = c( a) a, (6.2)<br />

and typical values are:<br />

a c(a)Z c(a)<br />

0.231 2.859 1.691 South of Southern Uplands<br />

0.224 2.812 1.677 Middle crust, Midland Valley<br />

0.25 3. 1. 732<br />

0.27 3.1739 1.7815<br />

0.33 3.941 1.985 Soft unconsolidated<br />

sediment near surface<br />

0.40 6. 2.449 This value assumed for silty<br />

sand layer in new acoustic.s<br />

models developed here<br />

0.45 11. 3.3166<br />

0.49 52. 7.2111<br />

[0.4921376] 64.583937 8.037035 From the unconsolidated<br />

sediment sea-bed layer of<br />

Model FFI for the Firth of<br />

Forth (MacBeth & Burton<br />

1988)<br />

31

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