Large-scale salt dome is an important problem in salt structure exploration. The envelope-based inversion method decouples the amplitude and polarity information of the seismic data and improves the convexity of the full waveform inversion objective function by using the envelope alone. However, the lack of polarity information will result in the inversion not able to accurately identify the velocity variation. In order to solve the problem caused by the missing polarity information of the envelope, signed demodulation method has been proposed and developed into a signed multi-scale direct envelope inversion method. In the signed multi-scale direct envelope inversion, the direct envelope derivative improves the linearity between the envelope and model parameters, and the multi-scale inversion strategy increases the convergence of the inversion. The results of numerical experiments on the SEG/EAGE 2-D Salt model and Sigsbee2A model using low-cut source (frequency components below 4 Hz were truncated) verify the promising potential of the method.


Article metrics loading...

Loading full text...

Full text loading...


  1. Chen, G.X., Wu, R.S. and Chen, S.C.
    (2017). The nonlinear data functional and multiscale seismic envelope inversion: Algorithm and methodology for application to salt structure inversion. SEG Technical Program Expanded Abstracts 2017: pp. 1697–1701.
    [Google Scholar]
  2. Chen, G.X., Wu, R.S., Wang, Y.Q. and ChenS.C.
    (2018a). Multi-scale signed envelope inversion, J. Appl. Geophys,, 153,113–126.
    [Google Scholar]
  3. Chen, G.X., Wu, R.S. and Chen, S.C.
    (2018b). Reflection Multi-scale Envelope Inversion, Geophys. Prospect., 2018, 66, 1258–1271.
    [Google Scholar]
  4. (2019). Multi-scale direct envelope inversion: algorithm and methodology for application to the salt structure inversion. Earth and Space Science. https://doi.org/10.1029/2018EA000453.
    [Google Scholar]
  5. Esser, E., Herrmann, F., Guasch, L. and Warner, M.
    (2015). Constrained waveform inversion in salt-affected datasets. SEG Technical Program Expanded Abstracts 2015: pp. 1086–1090.
    [Google Scholar]
  6. Lewis, W., Starr, B. and Vigh, D.
    (2012). A level set approach to salt geometry inversion in full-waveform inversion. SEG Technical Program Expanded Abstracts 2012: pp. 1–5.
    [Google Scholar]
  7. Métivier, L., Brossier, R., Mérigot, Q., Oudet, E. and Virieux, J.
    (2016). Measuring the misfit between seismograms using an optimal transport distance: Application to full waveform inversion. Geophysical Journal International, 205(1), 345–377.
    [Google Scholar]
  8. Roberts, M.
    (2018). Application of an envelope inversion and FWI workflow to frontier exploration in Argentina. SEG Technical Program Expanded Abstracts 2018: pp. 3783–3787.
    [Google Scholar]
  9. WuR.S. and ChenG. X.
    (2017). New Fréchet derivative for envelope data and multi-scale envelope inversion. In 79th EAGE conference and Exhibition 2017. Tu A3 12.
    [Google Scholar]
  10. Wu, R.S., & Chen, G.X.
    (2018). Multi-scale seismic envelope inversion using a direct envelope Frechet derivative for strong-nonlinear full waveform inversion. arXiv:1808.05275 [physics.geo-ph].
    [Google Scholar]
  11. Yang, Y.N. and Engquist, B.
    (2017). Analysis of optimal transport and related misfit functions in full-waveform inversion. SEG Technical Program Expanded Abstracts 2017: pp. 1291–1296.
    [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