4.7 Article

Elastic Full-Waveform Inversion Using Both the Multiparametric Approximate Hessian and the Discrete Cosine Transform

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TGRS.2021.3101193

Keywords

Discrete cosine transforms; Crosstalk; Computational modeling; Computational efficiency; Numerical models; Linear programming; Time-domain analysis; Discrete cosine transform (DCT); elastic; full-waveform inversion (FWI); multiparametric Hessian; time domain

Funding

  1. Basic Research Project of the Korea Institute of Geoscience and Mineral Resources (KIGAM) - Ministry of Science, ICT and Future Planning of Korea [19-3312]
  2. Korea Institute of Energy Technology Evaluation and Planning (KETEP)
  3. Ministry of Trade, Industry and Energy (MOTIE) of the Republic of Korea [20182510102470]
  4. Korea Evaluation Institute of Industrial Technology (KEIT) [20182510102470] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
  5. National Research Council of Science & Technology (NST), Republic of Korea [19-3312] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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The study proposes seismic elastic full-waveform inversion (EFWI) using both multiparametric approximate Hessian and the discrete cosine transform (DCT) to reduce computational burden and increase efficiency. Numerical experiments demonstrated that contamination due to crosstalk artifacts can be suppressed using multiparametric approximate Hessian in EFWI, even with a small number of DCT coefficients.
We propose seismic elastic full-waveform inversion (EFWI) using both the multiparametric approximate Hessian and the discrete cosine transform (DCT). EFWI is a promising technology for obtaining physical parameters. EFWI using the multiparametric approximate Hessian can suppress crosstalk artifacts for each physical parameter, but the computational burden increases as the number of physical parameters considered increases. In this study, to reduce the computational burden, DCT was used to compress the model parameters and accelerate EFWI in the truncated DCT domain. EFWI using DCT is possible to increase the calculation efficiency by reducing the total number of unknown variables. We implemented EFWI using monoparametric Hessian and multiparametric Hessian, which reduced the computational burden using DCT and conducted tests through numerical experiments using each Hessian. In numerical result, despite using a small number of DCT coefficients, we confirmed that contamination due to crosstalk artifacts was suppressed when EFWI was performed using the multiparametric approximate Hessian.

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