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Complex Frequency Shifted Perfectly Matched Layer Boundary Conditions for Frequency-Domain Elastic Wavefield Simulations

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Abstract

To absorb unwanted seismic reflections caused by the truncated boundaries, various absorbing boundary conditions have been developed for seismic numerical modeling in both time and frequency domains. Among the various types of perfectly matched layer (PML) boundary conditions, complex frequency shifted PML (CFS-PML) has attracted much attention in time-domain wavefield simulations because it can better handle evanescent and grazing waves. In this paper, we extend the CFS-PML boundary condition to frequency-domain finite-difference seismic modeling, which has several advantages over time-domain modeling including the convenient implementation of multiple sources and a straightforward extension of adding attenuation factors. A comparison with an analytical solution is used to investigate the validity of the proposed CFS-PML algorithm. CFS-PML shows better absorbing behavior than the classical PML boundary condition in our model tests. We further implement CFS-PML for seismic wavefield simulations in an elongated elastic model and a complex model (Marmousi-II) with a free surface boundary condition.

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Acknowledgements

The authors acknowledge the Faculty Internationalization Grant at The University of Tulsa. The inverse Fourier transform was implemented by the CREWES Matlab Toolbox. The authors thank two anonymous reviewers and associate editor Dr. Andrew Gorman for their constructive suggestions and comments, which significantly improved the quality of our manuscript.

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Authors and Affiliations

  1. Seismic Anisotropy Group, Department of Geosciences, The University of Tulsa, 800 South Tucker Drive, Tulsa, OK, 74104, USA

    Zhencong Zhao, Jingyi Chen & Xiaobo Liu

  2. CCDC Geological Exploration & Development Research Institute, Chengdu, 610041, Sichuan, China

    Minghua Xu

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  1. Zhencong Zhao
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  2. Jingyi Chen
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  4. Xiaobo Liu
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Correspondence to Jingyi Chen.

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Zhao, Z., Chen, J., Xu, M. et al. Complex Frequency Shifted Perfectly Matched Layer Boundary Conditions for Frequency-Domain Elastic Wavefield Simulations. Pure Appl. Geophys. 176, 2529–2542 (2019). https://doi.org/10.1007/s00024-019-02132-4

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  • DOI: https://doi.org/10.1007/s00024-019-02132-4

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