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Annual Report 2000 - WIT

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22<br />

For synthetic data, it is easy to pick these events, see Figure 2 (a). As there are<br />

no conflicting events and the signal-to-noise (S/N) ratio is high, the picker follows the<br />

same event over the entire ZO section. The synthetic data have been generated using<br />

a zero-phase Ricker wavelet with a peak frequency of 15 Hz. Picking the maximum<br />

amplitude yields the two-way traveltime from the source to the interface and back to<br />

the receiver at the surface. If seismic events in a real data time section, Figure 2 (b),<br />

have to be followed continuously, problems occur. Usually, the S/N ratio decreases<br />

with increasing traveltime. Events at small traveltimes of the simulated ZO section<br />

might be disturbed by mute zones. Regions with conflicting dips or where scattering<br />

prevails, interrupt the automatic picking, see Figure 2 (b) in the vicinity of CMP no.<br />

550. Thus, half-automatic picking is requested in order to overcome these problems.<br />

A little error is included while picking the maximum amplitude. In the synthetic<br />

and real data-set the actual local maximum cannot always be picked because of the<br />

discrete time sampling. But the picked maximum is very close to it, hence, the error<br />

is small. The traveltime that corresponds to the maximum amplitude of the wavelet<br />

differs slightly from the traveltime that actually represents the spatial location of the<br />

impedance contrast in the time domain. To prevent those errors, one suggestion is to<br />

pick the time sample where the wavelet starts to separate from the noise but that is<br />

even more difficult because one has to define a threshold for the noise.<br />

It is advantageous to pick as much events as possible because the more events are<br />

picked the more interfaces can be inverted and the more precise the model will be.<br />

Another reason is that the inversion algorithm provides only constant velocities within<br />

the layers along the traced rays. Hence, it is preferable to have more picked events<br />

with smaller time intervals in order to construct a more complex model.<br />

SMOOTHING BY MEANS OF STATISTICAL METHODS<br />

The inversion algorithm requires smooth CRS stack attributes. The deviation of the<br />

angle ¡ from trace to trace along an event is small and, thus, the data of the emergence<br />

angles do not require much smoothing. In contrast, the radius of the NIP wavefront<br />

¢¥£3¦6¨ often varies strongly from trace to trace, see Figure 3 (a). To perform a more<br />

stable inversion, the data have to be smoothed.<br />

There are several filters available for smoothing purposes. The smoothing is done<br />

within a pre-defined window of wv G length . This yields a symmetrical window<br />

around the picked time sample that can be set independently in time and/or trace direction.<br />

Here, possible filter choices are:<br />

1. The arithmetic mean, x<br />

<br />

, is the normalised sum of all values 1y/z {| within the

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