1887

Abstract

Summary

Marchenko redatuming can retrieve the Green’s function with a virtual receiver inside a heterogeneous medium from single-sided reflection data. It requires minimal a priori knowledge of medium properties but assumes the medium to be lossless. The dissipative Marchenko scheme can retrieve the Green’s function inside a lossy medium, which is accessible from both sides. By implementing the dissipative Marchenko scheme numerically and experimentally, we successfully redatum the full-wavefields on a 1D sound wave tube. To facilitate numerical modeling, we first quantify the medium attenuation using the nearly constant Q model. Then we model the focusing wavefields governed by the dissipative Marchenko equations as a numerical reference. Without any knowledge of the medium properties, we experimentally retrieve the desired Green’s function inside the wave tube from double-sided scattering data measurements. This is the first time that the dissipative Marchenko scheme is applied to laboratory data to physically focus a wavefield inside a dissipative medium. Our numerical and experimental implementation will contribute to characterization of medium properties accounting for ubiquitous attenuation.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201801094
2018-06-11
2020-04-04
Loading full text...

Full text loading...

References

  1. Becker, T., Elison, P., van Manen, D.J., Donahue, C., Greenhalgh, S., Broggini, F and Robertsson, J.O.A.
    [2016] Experimental Marchenko focusing in a variable diameter sound wave tube. 86th Annual International Meeting, SEG, Expanded Abstracts.
    [Google Scholar]
  2. Kjartansson, E.
    [1979] Constant Q wave propagation and attenuation. Journal of Geophysical Research: Solid Earth, 84,4737–4748.
    [Google Scholar]
  3. Margrave, G.F. and Daley, P.F.
    [2014] VSP modeling in 1D with Q and buried source. CREWES Research Reports, 26.
    [Google Scholar]
  4. van der Neut, J., Vasconcelos, I. and Wapenaar, K.
    [2015] On Green’s function retrieval by iterative substitution of the coupled Marchenko equations. Geophysical Journal International, 203, 792–813.
    [Google Scholar]
  5. Slob, E.
    [2016] Green’s function retrieval and Marchenko imaging in a dissipative acoustic medium. Physical Review Letters, 116, 164301.
    [Google Scholar]
  6. Wapenaar, K., Broggini, F., Slob, E. and Snieder, R.
    [2013] Three-dimensional single-sided Marchenko inverse scattering, data-driven focusing, Green’s function retrieval, and their mutual relations. Physical Review Letters, 110, 084301.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201801094
Loading
/content/papers/10.3997/2214-4609.201801094
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