1 / 34

Seismic Interferometry and Optical Theorem in Scatterer Media

Explore seismic interferometry, the optical theorem, and non-linear point scatterer concepts. Discuss modeling, inversion, and migration in scatterer media.

pillar
Download Presentation

Seismic Interferometry and Optical Theorem in Scatterer Media

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Seismic interferometry, the optical theorem and a non-linear point scatterer Kees Wapenaar Evert Slob Roel Snieder Society of Exploration Geophysicists Houston, October 26, 2009

  2. Interferometry Non-linear Paradox Point scatterer Optical theorem

  3. Interferometry Modeling Inversion Interferometry Migration Non-linear Paradox Point scatterer Optical theorem

  4. Snieder, R., K.van Wijk, M.Haney, and R.Calvert, 2008, Cancellation of spurious arrivals in Green's function extraction and the generalized optical theorem: Physical Review E, 78, 036606. Halliday, D. and A.Curtis, 2009, Generalized optical theorem for surface waves and layered media: Physical Review E, 79, 056603. van Rossum, M. C. W. and T.M. Nieuwenhuizen, 1999, Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion: Reviews of Modern Physics, 71, 313--371.

  5. Term 1: a b

  6. Term 2: c d

  7. Term 3: f e

  8. Terms 1 + 2 + 3: c a f e b d

  9. Terms 1 + 2 + 3, compared with modeled G:

  10. h i h i Term 4: g g

  11. Terms 1 + 2 + 3 + 4, compared with modeled G:

  12. Terms 1 + 2 + 3, compared with modeled G:

  13. Interferometry Paradox Point scatterer Optical theorem

  14. Substitute into representation for interferometry (Snieder et al., 2008, Halliday and Curtis, 2009)…..

  15. This gives: Generalized optical theorem (Heisenberg, 1943)

  16. This gives: For comparison:

  17. Interferometry Non-linear Paradox Point scatterer Optical theorem

  18. Isotropic point scatterer:

  19. Isotropic point scatterer:

  20. (van Rossum et al, 1999) = + + + (Snieder, 1999)

  21. Interferometry Non-linear Paradox Point scatterer Optical theorem

  22. Interferometry Non-linear Paradox Point scatterer Optical theorem

  23. Terms 1 + 2 + 3: c a f e b d

  24. Terms 1 + 2 + 3 + 4, compared with modeled G:

  25. Interferometry Modeling Inversion Interferometry Migration Non-linear Paradox Point scatterer Optical theorem

  26. Modeling, inversion and interferometry in scatterering media Groenenboom and Snieder, 1995; Weglein et al., 2003; Van Manen et al., 2006

  27. Modeling, inversion and interferometry in scatterering media Groenenboom and Snieder, 1995; Weglein et al., 2003; Van Manen et al., 2006 Limiting case: Point scatterer

  28. Resolution function for seismic migration Miller et al., 1987; Schuster and Hu, 2000; Gelius et al., 2002; Lecomte, 2008 Migration deconvolution Yu, Hu, Schuster and Estill, 2006

  29. Conclusions • Born approximation is incompatible with seismic interferometry

  30. Conclusions • Born approximation is incompatible with seismic interferometry • Seismic interferometry optical theorem non-linear scatterer seismic interferometry • Consequences for modeling, inversion, interferometry and migration

  31. Conclusions • Born approximation is incompatible with seismic interferometry • Seismic interferometry optical theorem non-linear scatterer seismic interferometry • Consequences for modeling, inversion, interferometry and migration

More Related