RFWI is capable of providing the correct travel time information and guaranteeing the success of FWI or migration. However, the conventional data-fitting RFWI suffers from the strong nonlinearity because of the lack of low frequency data and the complexity of amplitude. The separation of phase and amplitude information makes RFWI behaving in a more linear way. However, the traditional phase calculation has a severe wrapping issue. Thus we propose a RFWI objective function with a modified instantaneous phase calculation. With the utilization of envelope information, the proposed misfit function avoids the wrapping issue and provides wider global minimum basin. Numerical test on a portion of Sigsbee 2A model verifies that, compared with conventional methods, the combination of modified phase based RFWI and conventional FWI reveals the velocity model with high accuracy.


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  1. Bozdag, E., Trampert, J., and Tromp, J.
    [2011] Misfit functions for full waveform inversion based on instantaneous phase and envelope measurements. Geophys. J. Int., 185(2) 845–870
    [Google Scholar]
  2. Chi, B., Dong, L., and Liu, Y.
    [2015] Correlation-based reflection full-waveform inversion. Geophysics, 80(4), 189–202
    [Google Scholar]
  3. Choi, Y., and Alkhalifah, T.
    [2013] Frequency-domain waveform inversion using the phase derivative. Geophys. J. Int., 195, 1904–1916
    [Google Scholar]
  4. Plessix, R.E.
    [2006] A review of the adjoint-state method for computing the gradient of a functional with geophysical applications. Geophys. J. Int., 167(2), 495–503.
    [Google Scholar]
  5. Tejero, J. C. E., Dagnino, D., Sallares, V. and Ranero, C.R.
    [2015] Comparative study of objective functions to overcome noise and bandwidth limitations in full waveform inversion. Geophys. J. Int. 203, 632–645
    [Google Scholar]
  6. Virieux, J. and Operto, S.
    [2009] An overview of full-waveform inversion in exploration geophysics: Geophysics, 74(6), WCC1–WCC26
    [Google Scholar]
  7. Wang, H., Singh, S. C., Audebert, F., and Calandra, H.
    [2015] Inversion of seismic refraction and reflection data for building long-wavelength velocity models. Geophysics, 80(2), 81–93.
    [Google Scholar]
  8. Xu, S., Wang, D., Chen, F., Lambare, G., and Zhang, Y.
    [2012] Inversion on reflected seismic wave. 82nd Annual International Meeting, SEG, Expanded Abstracts. pp. 1–7.doi: 10.1190/segam2012–1473.1
    https://doi.org/10.1190/segam2012–1473.1 [Google Scholar]

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