1887

Abstract

Summary

In conventional seismic surveys, there is a waiting time between sequentially fired shots. This time is determined such that the deepest reflection of interest is recorded before the following source is fired. In a survey with simultaneous or blended sources, the waiting time between the firing of shots is not dependent on the deepest reflection of interest, it is usually much shorter and/or can have random time delays. Thus, the wavefields due to independent sources are overlapped in the records.

The blended data exhibit strong discontinuities in the source direction, in contrast to the coherency expected from seismic measurements. A strategy for deblending could then be to suppress these discontinuities. In this paper, we propose to do this by designing an energy functional that uses a combination of individual functionals that penalize deviations from local plane waves in the reconstructed (deblended) data, as well as a least squares term that penalizes discrepancies between the deblended and the measured data. In this way, we derive a set of coupled nonlinear partial differential equations that we use for the deblending procedure.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201601410
2016-05-30
2024-04-26
Loading full text...

Full text loading...

References

  1. Abma, R.
    [2014] Shot scheduling in simultaneous shooting. In: SEG Technical Program Expanded Abstracts 2014, Society of Exploration Geophysicists, 94–98.
    [Google Scholar]
  2. Andersson, F. and Carlsson, M.
    [2013] Alternating projections on nontangential manifolds. Constructive Approximation, 38(3), 489–525.
    [Google Scholar]
  3. Andersson, F., Morimoto, Y. and Wittsten, J.
    [2015] A variational formulation for interpolation of seismic traces with derivative information. Inverse Problems, 31(5), 055002.
    [Google Scholar]
  4. Baardman, R., van Borselen, R. et al.
    [2012] Separating Sources in Marine Simultaneous Shooting Acquisition–Method & Applications. In: 2012 SEG Annual Meeting. Society of Exploration Geophysicists.
    [Google Scholar]
  5. Bauschke, H.H. and Borwein, J.M.
    [1993] On the convergence of von Neumann’s alternating projection algorithm for two sets. Set-Valued Analysis, 1(2), 185–212.
    [Google Scholar]
  6. Beasley, C.J., Dragoset, B. and Salama, A.
    [2012] A 3D simultaneous source field test processed using alternating projections: A new active separation method. Geophysical Prospecting, 60(4), 591–601.
    [Google Scholar]
  7. Lewis, A.S.
    [1996] Derivatives of spectral functions. Mathematics of Operations Research, 21, 576–588.
    [Google Scholar]
  8. Lewis, A.S. and Malick, J.
    [2008] Alternating projections on manifolds. Mathematics of Operations Research, 33(1), 216–234.
    [Google Scholar]
  9. Moore, I.
    [2010] Simultaneous sources–Processing and applications. In: 72nd EAGE Conference and Exhibition incorporating SPE EUROPEC 2010.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201601410
Loading
/content/papers/10.3997/2214-4609.201601410
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