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

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CHAPTER 5. THREE-TERM <strong>AVO</strong> INVERSION 68<br />

Time (s)<br />

a)<br />

Time (s)<br />

a) b) c)<br />

0.2<br />

0.2<br />

0.2<br />

0.4<br />

0.6<br />

−0.2 0 0.2<br />

0.4<br />

0.6<br />

−0.2 0 0.2<br />

0.4<br />

0.6<br />

−0.2 0 0.2<br />

Figure 5.7: (a) P-wave reflectivity (RMSEA = 0.0391), (b) S-wave reflectivity<br />

(RMSEB = 0.0611), and (c) density reflectivity (RMSEC = 0.0328) retrieved<br />

from data with S/N=4 using Univariate Cauchy as a priori.<br />

0.2<br />

0.4<br />

0.6<br />

100<br />

Offset (m)<br />

1100 2100<br />

b)<br />

0.2<br />

0.4<br />

0.6<br />

100<br />

Offset (m)<br />

1100 2100<br />

c)<br />

0.2<br />

0.4<br />

0.6<br />

100<br />

Offset (m)<br />

1100 2100<br />

Figure 5.8: (a) The input data (S/N=4), (b) <strong>the</strong> predicted data, and (c) <strong>the</strong> difference<br />

between <strong>the</strong> input and <strong>the</strong> predicted data using Univariate Cauchy as a<br />

priori.<br />

0.04<br />

0.02<br />

0<br />

-0.02<br />

-0.04

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