75
. The P-wave velocity and the Poisson’s ratio for a homogeneous and
isotropic sedimentary rock are 2500 m/s and 0.3, respectively. The
S-wave velocity for the rock is ________m/s.
Solution:
The
relation between velocity of P-wave , S-wave and Poisson’s ratio is
given below
Vp
/ Vs = √
( 2(1-ν)
/ (1-2ν)
) ----------------(1)
Velocity
of the P-wave = 2500 m/s
Poisson’s
ratio (ν)
= 0.3
Substitute
above values in below equation
Vs
/ Vp = √
( (1-2ν) / 2(1-ν)
)
Vs
= Vp ( √
( (1-2ν) / 2(1-ν)
) )
Vs
= 2500 ( √ (
(1-2(0.3) / 2(1-0.3)
) )
Vs
= 2500 ( √ (
(1-0.6) / 2 (0.7 ) )
Vs
= 2500 ( √ ( 0.4
/ 1.4 ) )
Vs
= 2500 * 0.53
Vs
= 1336.30 m/s
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