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Annual Report 2000 - WIT

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103<br />

summation (Hanitzsch, 1997). We avoid stacking the migrated result over the offset<br />

axis in order to gain a true-amplitude migrated data cube. This yields amplitudeversus-offset<br />

information at every depth point in the migrated image. From imagegathers<br />

at one surface location we picked the maximum amplitude at one reflector<br />

point for every offset contained in the data in order to obtain the desired AVO curves.<br />

0.4 0.8 1.2 1.6<br />

Depth [km]<br />

Receiver Offset [km]<br />

0 0.4 0.8 1.2 1.6<br />

|Rpp|<br />

0.2<br />

0.175<br />

0.15<br />

0.125<br />

0.1<br />

0.075<br />

0.05<br />

0.025<br />

AVO for Dipping Layer<br />

Analytically calculated<br />

Migration result<br />

Imagegather<br />

0<br />

0 0.5 1 1.5 2 2.5 3<br />

Offset [km]<br />

Figure 5: (a) Imagegather of the migrated result at 5.5 km. Residual moveout is caused<br />

by the difference between the model used to generate seismograms and the smooth<br />

model used for migration. (b) AVO curve from the imagegather to the left. The solid<br />

line denotes the expected amplitudes derived by Zoeppritz' equations and circles denote<br />

our migration result<br />

Amplitude<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

Amplitude Comparison in Shotgather<br />

x 10−3<br />

4<br />

Demigration Result<br />

Input Seismogram<br />

0<br />

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2<br />

Offset [km]<br />

0.0003 0.0002 1e-04 0<br />

Spectral Amplitude<br />

Spectral Comparison<br />

0 5 10 15 20 25 30 35 40 45<br />

Frequency [Hertz]<br />

Figure 6: (a) Comparison of amplitudes of one demigrated section (blue) with original<br />

seismogram (red). (b) Comparison of frequency content of the demigrated section<br />

(red) with the original seismogram (blue).<br />

We tested our migration result by comparing picked amplitudes in the imagegather<br />

of the migration output at a certain distance (Figure 5 a) with the analytical reflectivity

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