Velocity analysis by focal transform

Torabi, S., Javaherian, A. and Nabi-Bidhendi, M., 2013. Velocity analysis by focal transform. Journal of Seismic Exploration, 22: 373-388. Many steps in seismic processing are, directly or indirectly, affected by the quality of the velocity function obtained through a velocity analysis. Improving the quality of the velocity function can affect the entire processing procedure. Regarding the limited resolution in using semblance velocity analysis, many researchers are trying to introduce new methods of velocity analysis with higher resolution. In this paper, the focal transform is introduced as an effective tool in the velocity analysis. The focal transform can be used as a method to estimate Van in terms of time. This method is based on the fact that the shape of any event in the focal domain depends on the similarity between the shape of the event in the operator and the events in the CMP gather. Having this similarity measured, we can determine the velocity of each event in the CMP gather. This new method was tested on a synthetic CMP gather and two real data sets from onshore and offshore. Attributes of the peak quality, velocity resolution and time resolution were introduced in this study to measure and compare the quality velocity panels obtained by the focal transform velocity analysis. A comparison of the results of the focal transform with those of the semblance method demonstrated that a higher resolution in the velocity analysis was achieved when using the focal transform.
- Berkhout, A.J. and Verschuur, D.J., 2006. Focal transformation, an imaging concept for signal
- restoration and noise removal. Geophysics, 71: A55-A59.
- Berkhout, A.J., Verschuur, D.J. and Romijn, R. 2004. Reconstruction of seismic data using the
- focal transformation. Expanded Abstr., 74th Ann. Internat. SEG Mtg., Denver: 1993-1996.
- Biondi, B.L. and Kostov, C., 1989. High resolution velocity spectra using eigenstructure methods.
- Geophysics, 54: 832-842.
- Fomel, S. 2009. Velocity analysis using AB semblance. Geophys. Prosp., 57: 311-321.
- Key, S.C. and Smithson, S.B., 1990. A new method of event detection and velocity estimation.
- Geophysics, 55: 1057-1069.
- Neidell, N.S. and Taner, M.T., 1971. Semblance and other coherency measures for multichannel
- data. Geophysics, 36: 482-497.
- 388 TORABI, JAVAHERIAN & NABI-BIDHENDI
- Rutherford, S.R. and Williams, R.H., 1989. Amplitude-versus-offset variations in gas sands.
- Geophysics, 54: 680-688.
- Symes, W.W. and Kern, M., 1994. Inversion of reflection seismograms by differential semblance
- analysis. Algorithm structure and synthetic examples. Geophys. Prosp., 42: 565-614.
- Torabi, S. and Javaherian, A., 2010. Introducing a new method in velocity analysis by using focal
- transform. Expanded Abstr., 72th EAGE Conf., Amsterdam: P392.
- Yilmaz, O., 2001. Seismic Data Analysis. SEG, Tulsa, OK.