Bandwidth and vertical resolution

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Seismic Data Analysis
Seismic-data-analysis.jpg
Series Investigations in Geophysics
Author Öz Yilmaz
DOI http://dx.doi.org/10.1190/1.9781560801580
ISBN ISBN 978-1-56080-094-1
Store SEG Online Store


Frequency filtering is intimately tied to vertical (temporal) resolution of seismic data. Consider the filter operators in Figure 1.1-28. Both have the same effective bandwidth — the difference between the high-cut and low-cut frequencies. Therefore, the envelopes of the two operators are identical. The greater ringyness of the second operator (Figure 1.1-28b) results from its lower bandwidth ratio — the ratio of the high-cut to the low-cut frequency.

There is a common misunderstanding that only high frequencies are needed to increase temporal resolution. This is not true. The top frame in Figure 1.1-29 shows a single reflector and three sets of closely situated reflectors with 48-, 24-, and 12-ms time separations. A series of narrow band-pass filters is applied to these data as shown in the lower frames. The reflectors with the 48-ms separation are resolved reasonably well by using the 10-to-20-Hz bandwidth. However, the more closely situated reflectors cannot be resolved with this filter. For the 20-to-30-Hz bandwidth, again, the 48-ms reflectors are reasonably separated. Nevertheless, none of the narrow band-pass filters provides the resolution needed to distinguish the reflectors situated with smaller separations. Just having low or high frequencies does not improve temporal resolution. Both low and high frequencies are needed to increase temporal resolution. This is demonstrated further in Figure 1.1-30. Note that closely situated reflectors can be resolved only with increasingly broader bandwidth. The 10-to-30-Hz bandwidth is sufficient to resolve the reflectors with 48-ms separation. The 10-to-50-Hz bandwidth is sufficient to resolve the reflectors with 24-ms separation. Finally, the 10- to-100-Hz bandwidth is needed to resolve the reflectors that are separated by 12 ms. There is a close relationship between the amount of separation and the desired bandwidth (seismic resolution).

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Bandwidth and vertical resolution
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