Fréchet kernels based on a fractional viscoacoustic wave equation

Guangchi Xing, Tieyuan Zhu

Research output: Contribution to journalConference articlepeer-review


Incorporating the seismic attenuation into the waveform inversion framework could not only improve the accuracy of the velocity model but also provide an additional Q model. Recently, we proposed a viscoacoustic wave equation assisted by the fractional Laplacian operators to accurately model the wave propagation in heterogeneous attenuating media with computational efficiency. The explicit presence of Q as a coefficient in this equation suggests the potential to conveniently develop its full waveform inversion scheme. In this study, we utilize the adjoint-state method to formulate the computation of the Fréchet kernels with respect to both velocity and attenuation based on this wave equation. These kernels will play a fundamental role in the viscoacoustic multiparameter waveform inversion.

Original languageEnglish (US)
Pages (from-to)1455-1459
Number of pages5
JournalSEG Technical Program Expanded Abstracts
StatePublished - Aug 10 2019
EventSociety of Exploration Geophysicists International Exposition and 89th Annual Meeting, SEG 2019 - San Antonio, United States
Duration: Sep 15 2019Sep 20 2019

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Geophysics


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