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If the P wave velocity in a rock is 5.4 km/s and the S to P velocity ratio is 0.6, the S wave velocity is

  • A.3.24 km/s
  • B.9.0 km/s
  • C.5.4 km/s
  • D.0.6 km/s

Answer: A

Correct answer: 3.24 km/s

The ratio is applied directly:

\[ V_s = 0.6 \times 5.4 = 3.24 \text{ km/s} \]

A ratio near 0.58, that is \( 1/\sqrt{3} \), corresponds to a Poisson solid with Poisson’s ratio of 0.25, which most crustal rocks approximate. The ratio is a useful diagnostic in itself: an unusually low value can indicate fracturing or the presence of gas in the pore space.

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