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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