Seismic attenuation is often observed for P-wave and S-waves. At the seismic frequencies of cross-well data, the viscoelastic effects cannot be neglected. In this paper, we propose a method of full-wave inversion for viscoelastic media. Optimization inversion techniques based on a least-square formalism are used. In this framework, analytical expressions of the misfit function gradient, based on the adjoint technique in the time domain, allow one to solve the inverse problem with a high number of parameters and for a completely heterogeneous medium. The full-wave inversion method is applied to a cross-well synthetic 2-component dataset generated using a 2D model with different viscoelastic regions. Four parameter fields are estimated, P-wave velocity, S-wave velocity, and the quality factors for the bulk and shear moduli. The results show that for multi-parameter estimation, the viscoelastic parameters are not well recovered but contribute significantly in the determination of the elastic parameters.


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  1. Carcione, J.M.
    [1990] Wave propagation in anisotropic linear viscoelastic media: Theory and simulated wavefields. Geophysical Journal International, 101, 739–750.
    [Google Scholar]
  2. Charara, M., C.Barnes, and A.Tarantola
    [1996] Constrained waveform inversion of seismic well data. In Inverse methods; Lecture notes in earth sciences, 63, 98–112.
    [Google Scholar]
  3. [2000] Full waveform inversion of seismic data for a viscoelastic medium. In Inverse methods; Lecture notes in earth sciences, 92, 68–81.
    [Google Scholar]
  4. Malinowski, M., Operto, S. and Ribodetti, A.
    [2011] High-resolution seismic attenuation imaging from wide-aperture onshore data by visco-acoustic frequency-domain full-waveform inversion. Geophysical Journal International, 186, 1179–1204.
    [Google Scholar]
  5. Pica, A., Diet, J.P. and Tarantola, A.
    [1990] Nonlinear inversion of seismic reflection data in a laterally invariant medium. Geophysics, 3(3), 284–292.
    [Google Scholar]
  6. Schuler, J., Christie, P.A.F. and R.S.White
    [2014] Borehole study of compressional and shear attenuation of basalt flows penetrated by the Brugdan and William wells on the Faroes shelf. Geophysical Prospecting, 62, 315–332.
    [Google Scholar]
  7. Song, Z., Williamson, P. and Pratt, G.
    [1995] Frequency-domain acoustic wave modeling and inversion of crosshole data. Part 2: inversion method, synthetic experiments and real-data results. Geophysics, 60, 786–809.
    [Google Scholar]
  8. Tarantola, A.
    [1987] Inverse Problem Theory: Methods for data fitting and model parameter estimation. Elsevier.
    [Google Scholar]

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