Regularization of the AVO inverse problem by means of a ...

CHAPTER 4. TWO-TERM AVO INVERSION 49
Time (s)
a)
Time (s)
a) b)
0.2
0.2
0.4
0.6
−0.2 0 0.2
0.4
0.6
−0.2 0 0.2
Figure 4.3: (a) P-wave impedance (RMSErα = 0.0311), and (b) S-wave impedance
(RMSErβ = 0.0472) retrieved from noiseless data (S/N=104 ) using Multivariate
Gaussian as a priori.
0.2
0.4
0.6
100
Offset (m)
1100 2100
b)
0.2
0.4
0.6
100
Offset (m)
1100 2100
c)
0.2
0.4
0.6
100
Offset (m)
1100 2100
Figure 4.4: (a) The input data (S/N=10 4 ), (b) the predicted data, and (c) the
difference between the input and the predicted data using Multivariate Gaussian as
a priori.
0.04
0.02
0
-0.02
-0.04