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MINI REVIEW article
Front. Earth Sci.
Sec. Solid Earth Geophysics
Volume 13 - 2025 | doi: 10.3389/feart.2025.1505367
Comparative analysis of formulations for crossed artifacts elimination in the frequency-Bessel spectrograms
Provisionally accepted- 1 Wuhan Polytechnic University, Wuhan, Hubei Province, China
- 2 China University of Geosciences Wuhan, Wuhan, China
- 3 Chang’an University, Xi'an, Shaanxi, China
The frequency-Bessel transformation method has significantly advanced the extraction of multimodal surface waves in seismic research. However, the presence of crossed artifacts in frequency-Bessel spectrograms, particularly when stations are regularly distributed, presents a persistent challenge. Various methods have been proposed to mitigate these artifacts, yet their diverse formulations often lead to confusion about their practical application and interrelations.This study aims to demystify these ambiguities by analyzing the existing formulations within a unified framework. We uncover that the apparent discrepancies among these methods primarily originate from the differing conventions across various studies. Consequently, we establish explicit mathematical relationships among these existing formulations. Moreover, we demonstrate that the reliance on numerical Hilbert transform can be avoided by maintaining only the causal component of the cross-correlation functions. This approach simplifies the artifact removal process, enhancing the practical utility of frequency-Bessel spectrograms in geophysical analysis.
Keywords: multimodal surface wave, frequency-Bessel transformation, crossed artifacts elimination, Hilbert Transform, comparative analysis
Received: 02 Oct 2024; Accepted: 12 Feb 2025.
Copyright: © 2025 Jiang, Hu and Luo. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Shaoqian Hu, China University of Geosciences Wuhan, Wuhan, China
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