1887

Abstract

Summary

A variety of methods have been presented to invert arrival times of seismic waves for velocity distribution. In real world, the velocity distribution models are piecewise smooth and consist of blocky structures as well as smooth varying parts. In this study we propose a method to minimize a cost function consists of robust versions of both Tikhonov and TV regularizations (hereafter called robust Tikhonov-TV regularization). The method is capable of suppressing undesired effects of the erratic noises and recovering both blocky and smooth varying parts of the model. To demonstrate the effectiveness of the method, it is tested on both synthetic and real vertical seismic profiling (VSP) arrival times as well as on a real cross well arrival times. The proposed robust Tikhonov-TV method estimates better velocity model as compared to the robust Tikhonov and robust TV regularization methods. According to the results, the proposed hybrid method efficiently eliminates the individual weaknesses of constituent regularization methods.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201701366
2017-06-12
2024-04-19
Loading full text...

Full text loading...

References

  1. Gheymasi, H.M., Gholami, A., Siahkoohi, H.R. and Amini, N.
    [2016] Robust total-variation based non-linear inversion using split Bregman and proximity operators. Geophys. J. Int, 132, 242–254.
    [Google Scholar]
  2. Gholami, A. and Hosseini, S.M.
    [2013] A balanced combination of Tikhonov and total variation regularizations for reconstruction of piecewise-smooth signals. Signal Process, 31, 54–59.
    [Google Scholar]
  3. Gholami, A. and Siahkoohi, H.R.
    [2009] Simultaneous constraining of model and data smoothness for regularization of geophysical inverse problems. Geophys. J. Int, 176, 151–163.
    [Google Scholar]
  4. Kroger, B., Fechner, T. and Kemna, A.
    [2011] Cross-hole Measurement and Analysis of Interfacial Seismoelectric Signals from Shallow Sedimentary Boundaries. 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011, 23–26 May, Vienna, Austria.
    [Google Scholar]
  5. Li, S., Vladimirsky, A. and Fomel, S.
    [2013] First-break traveltime tomography with the double square root eikonal equation. Geophysics, 78(6), U89–U101.
    [Google Scholar]
  6. Liu, H., Yan, L., Chang, Y., Fang, H. and Zhang, T.
    [2013] Spectral deconvolution and feature extraction with robust adaptive Tikhonov regularization. IEEE Transactions on Instrumentation and Measurement, 62(2).
    [Google Scholar]
  7. Menke, W.
    [2012] Geophysical data analysis: Discrete inverse theory, Academic Press, Inc.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201701366
Loading
/content/papers/10.3997/2214-4609.201701366
Loading

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