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Wavefield-Separated Full-Waveform Inversion of Shallow-Seismic Rayleigh Waves

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Abstract

Shallow-seismic full-waveform inversion (FWI) is becoming increasingly popular for the reconstruction of the shallow-subsurface model in near-surface geophysics. Because Rayleigh waves dominate the vertical component of the shallow-seismic recording, FWI mainly fits Rayleigh waves in the observed data, while the utilization and fitting of P waves in the data are usually overlooked. The appropriate use of the body-wave signal in shallow-seismic FWI remains a problem. We propose herein a wavefield-separated full-waveform inversion (WSFWI) method to make better use of the P-wave signal in the shallow-seismic data. The WSFWI method mainly contains two steps: (1) separating the P wave from the observed data and applying an acoustic FWI to it for the reconstruction of the P-wave velocity model, and (2) fixing the P-wave velocity model and applying an elastic FWI to the entire recording for the reconstruction the S-wave velocity model. We show that Rayleigh and P waves are sensitive towards different areas of the model, and therefore, WSFWI can better utilize the sensitivity kernel of P waves to improve the accuracy of the reconstructed P-wave velocity model. A synthetic example shows that WSFWI outperforms the FWI that uses the whole recording simultaneously, especially in the reconstruction of the P-wave velocity model. It also proves that WSFWI is able to avoid (mitigate) crosstalk imposed from the S-wave velocity to the P-wave velocity models. We apply both the conventional FWI and WSFWI to a field data set acquired in Olathe, Kansas, USA. The field example shows that the S-wave velocity model can be reconstructed with high robustness in both the FWI and WSFWI results. Both the conventional FWI and WSFWI nicely fitted the observed Rayleigh wave, while WSFWI also fitted the P waves in the observed data and reconstructed the P-wave velocity model with relatively higher reliability.

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Data Availability

The synthetic and field data presented in this study are available upon request to the corresponding author.

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Acknowledgements

We thank Hao Zhang for preprocessing the field data. We also thank the editor Yangfan Deng and two anonymous reviewers for their helpful and constructive comments.

Funding

This research is supported by the National Natural Science Foundation of China under Grant 41774115, the China Postdoctoral Science Foundation under Grant 2019M660177, and the Natural Science Foundation of Hubei Province under Grant 2020CFB144.

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Author notes

  1. Yue Hu and Yudi Pan have contributed equally to this work.

Authors and Affiliations

  1. Key Laboratory of Geoscience Big Data and Deep Resource of Zhejiang Province, School of Earth Sciences, Zhejiang University, 38 Zheda Road, Hangzhou, 310027, Zhejiang, China

    Yue Hu & Jianghai Xia

  2. School of Geodesy and Geomatics, Wuhan University, Wuhan, 430079, Hubei, China

    Yudi Pan

  3. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan, 430079, Hubei, China

    Yudi Pan

  4. College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou, 310000, Zhejiang, China

    Yue Hu

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  1. Yue Hu
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Correspondence to Yudi Pan.

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Hu, Y., Pan, Y. & Xia, J. Wavefield-Separated Full-Waveform Inversion of Shallow-Seismic Rayleigh Waves. Pure Appl. Geophys. 179, 1583–1596 (2022). https://doi.org/10.1007/s00024-022-02995-0

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