We have addressed the problem of seismic data frequency-time filtration based on the S-transform. The S-transform provides frequency-dependent resolution while maintaining a direct relationship with the Fourier spectrum. The S-transform has been widely used in different seismic data-processing applications. The standard S-transform filtration method is based on its invertibility. In a sense of time localization, this method is not optimal, because the calculation of the inverse S-transform includes the time averaging. We propose an alternative filtration method which is based on the reconstruction of a signal by S-transform ridges. We approximate the Fourier phase spectrum of the reconstructed signal by the phase of S-transform ridge. We derive the integral equation which expresses the S-transform ridge amplitudes in terms of Fourier amplitude spectrum of the reconstructed signal. The introduced equation is solved to find the signal amplitude numerically, using truncated singular value decomposition. We get both the phase and amplitude off the signal. Thus, the signal can be extracted from the S-transform spectrum only by the ridges. We believe it is promising in a sense of maximum usage of time-localization properties of the S-transform during frequency-time filtration. The results of synthetic data processing confirm the promising prospects of the proposed method.
|Number of pages||5|
|Journal||SEG Technical Program Expanded Abstracts|
|Publication status||Published - 10 Aug 2019|
|Event||Society of Exploration Geophysicists International Exposition and 89th Annual Meeting, SEG 2019 - San Antonio, United States|
Duration: 15 Sep 2019 → 20 Sep 2019
- 1.05 EARTH AND RELATED ENVIRONMENTAL SCIENCES