Full-intensity waveform inversion

Yike Liu*, Bin He, Huiyi Lu, Zhendong Zhang, Xiao Bi Xie, Yingcai Zheng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


Many full-waveform inversion schemes are based on the iterative perturbation theory to fit the observed waveforms. When the observed waveforms lack low frequencies, those schemes may encounter convergence problems due to cycle skipping when the initial velocity model is far from the true model. To mitigate this difficulty, we have developed a new objective function that fits the seismic-waveform intensity, so the dependence of the starting model can be reduced. The waveform intensity is proportional to the square of its amplitude. Forming the intensity using the waveform is a nonlinear operation, which separates the original waveform spectrum into an ultra-low-frequency part and a higher frequency part, even for data that originally do not have low-frequency contents. Therefore, conducting multiscale inversions starting from ultra-low-frequency intensity data can largely avoid the cycle-skipping problem. We formulate the intensity objective function, the minimization process, and the gradient. Using numerical examples, we determine that the proposed method was very promising and could invert for the model using data lacking low-frequency information.

Original languageEnglish (US)
Pages (from-to)R649-R658
Issue number6
StatePublished - Nov 1 2018


  • Full-waveform inversion
  • Inversion
  • Least-squares migration

ASJC Scopus subject areas

  • Geochemistry and Petrology


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