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

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CHAPTER 4. TWO-TERM <strong>AVO</strong> INVERSION 48<br />

Time (s)<br />

a)<br />

0<br />

0.5<br />

1.0<br />

m/s m/s kg/m 3<br />

b)<br />

c)<br />

3951<br />

0<br />

2258<br />

0<br />

2455<br />

3771<br />

3591<br />

3411<br />

3231<br />

3051<br />

0.5<br />

2058<br />

1858<br />

1658<br />

1.0 1458<br />

0.5<br />

2425<br />

2395<br />

2365<br />

2335<br />

1.0 2305<br />

Figure 4.1: (a) P-wave velocity (b) S-wave velocity and (c) density. These models<br />

are used for <strong>the</strong> syn<strong>the</strong>tic example.<br />

Time (s)<br />

a)<br />

0.1<br />

0.3<br />

0.5<br />

0.7<br />

0.9<br />

300<br />

Offset (m)<br />

1300 2300<br />

b)<br />

0.1<br />

0.3<br />

0.5<br />

0.7<br />

0.9<br />

300<br />

Offset (m)<br />

1300 2300<br />

0.05<br />

0.03<br />

0<br />

-0.03<br />

-0.05<br />

Figure 4.2: Syn<strong>the</strong>tic data (a) noiseless, and (b) with noise, S/N=4.

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