To improve inversion results for 2-D elastic VTI media, we introduce a new parameterization. The new parameterization introduces the Lamé constants and two new anisotropy-related parameters instead of the elastic constants (C11, C13, C33 and C44). As the Lamé constants in the new parameterization are involved with the same derivatives as in the isotropic elastic wave equations, we can use the merits of the isotropic elastic full waveform inversion (FWI). In contrast, because the new parameters are involved with the same derivatives as C11 and C13 in the conventional VTI parameterization, the new parameters retain the characteristics of C11 and C13. However, because C11 and C13 are extracted by the combination of the Lamé constants and the new anisotropy-related parameters, C11 and C13 can also be improved by the Lamé constants. These are supported by the scattering patterns of partial derivative wavefields and gradient directions for a simple two-layered model. Synthetic examples for the VTI overthrust model show that the new parameterization provides improved inversion results without additional inversion stages compared to those obtained by the conventional VTI parameterization and the hierarchical inversion strategy.


Article metrics loading...

Loading full text...

Full text loading...


  1. Fletcher, R., & Reeves, C. M.
    , 1964, Function minimization by conjugate gradients, The computer journal, 7, 149–154.
    [Google Scholar]
  2. Gholami, Y., Brossier, R., Operto, S., Ribodetti, A., & Virieux, J.
    , 2013, Which parameterization is suitable for acoustic vertical transverse isotropic full waveform inversion? Part 1: Sensitivity and trade-off analysis, Geophysics, 78, R81–R105.
    [Google Scholar]
  3. Koo, J. M., Jeong, W. D., Lee, H. Y., Min, D. J., & Yoo, H. S.
    , 2010, Frequency-domain Elastic Full Waveform Inversion for VTI Media, 72nd EAGE Conference & Exhibition.
    [Google Scholar]
  4. Lee, H. Y., Koo, J. M., Min, D. J., Kwon, B. D., & Yoo, H. S.
    , 2010, Frequency-domain elastic full waveform inversion for VTI media, Geophysical Journal International, 183, 884–904.
    [Google Scholar]
  5. Park, Y., & Pyun, S.
    , 2013, Implementation of Adaptive Smoothing Regularization Technique for Simultaneous Multi-frequency Full Waveform Inversion, 75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013.
    [Google Scholar]
  6. Thomsen, L.
    , 1986, Weak elastic anisotropy, Geophysics, 51, 1954–1966.
    [Google Scholar]

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error