Fréchet kernels based on a fractional viscoacoustic wave equation

Conference · Sat Aug 10 00:00:00 EDT 2019 · SEG Technical Program Expanded Abstracts 2019

DOI:https://doi.org/10.1190/segam2019-3215198.1· OSTI ID:1829725

Xing, Guangchi ^[1]; Zhu, Tieyuan ^[1]

---

1. Department of Geosciences, The Pennsylvania State University

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.

• Research Organization: Pennsylvania State Univ., University Park, PA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: FE0031544
• OSTI ID: 1829725
• Journal Information: SEG Technical Program Expanded Abstracts 2019, Conference: SEG, San Antonio, Sep 2019
• Country of Publication: United States
• Language: English