ARTICLE

Velocity analysis by focal transform

SIYAVASH TORABI1 ABDORAHIM JAVAHERIAN1,2 MAJID NABI-BIDHENDI1
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1 Institute of Geophysics, University of Tehran, Tehran, Iran. javaheri@ut.ac.ir,
2 Department of Petroleum Engineering, Amirkabir University of Technology, Tehran, Iran.,
JSE 2013, 22(4), 373–388;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

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.

Keywords
seismic data processing
velocity analysis
focal transform
semblance
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing