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Multiple-transient surface wave phase velocity analysis in expanded f-k domain and its application

HONGYAN SHEN1,2 ,  CHEN CHEN2 ,  YUEYING YAN1 ,  BAOWEI ZHANG3
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2 Mewbourne College of Earth and Energy, University of Oklahoma, Norman, OK 73019, U.S.A.,
3 Langfang Geophysical and Geochemical Exploration Institute, Langfang, Hebei 065000, P.R. China.,
JSE 2016, 25(4), 299–319;
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/ )
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Abstract

Shen, H., Chen, C., Yan, Y. and Zhang, B., 2016. Multiple-transient surface wave phase velocity analysis in expanded f-k domain and its application. Journal of Seismic Exploration, 25: 299-319. Surface waves are usually regarded as noise in traditional reflection seismic processing. However, useful and important signals can be extracted from surface waves since it still carries geological information. In this paper, we developed a new method of multiple-transient surface wave phase velocity analysis, which is based on 2D Fourier Transform theory. We established the equation of surface wave velocity analysis in expanded f-k domain to demonstrate the relationship among frequency, wave number, phase velocity, wavelength, and penetration depth. It is more convenient to obtain a relevant velocity spectrum by converting f-k spectrum into the depth-phase velocity (H-vg) spectrum. We obtained better results by extracting the phase velocity and depth information from the H-vg spectrum. This has the ability to extract the near-surface geological information with high accuracy and strong capabilities of de-noising. We used the new method to test an actual dataset for detecting active faults. The study shows that Rayleigh wave phase velocity has the ability to delineate structures in the near surface, about 150 m deep, which is very useful to deal with geological structures in Quaternary geology, such as bedrock fractures. The geological structures interpreted from the Rayleigh wave phase velocity profile and reflection seismic cross-section show a strong consistency.

Keywords
surface waves
reflection seismic
2D Fourier transform
phase velocity analysis
dispersion curve
near-surface structure
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing
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