slide1
Download
Skip this Video
Download Presentation
Seismic interferometry, the optical theorem and a non-linear point scatterer Kees Wapenaar

Loading in 2 Seconds...

play fullscreen
1 / 34

Seismic interferometry, the optical theorem and a non-linear point scatterer Kees Wapenaar - PowerPoint PPT Presentation


  • 165 Views
  • Uploaded on

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. Interferometry. Non-linear. Paradox. Point scatterer. Optical theorem. Interferometry. Modeling

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Seismic interferometry, the optical theorem and a non-linear point scatterer Kees Wapenaar' - ramona-golden


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

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

slide2

Interferometry

Non-linear

Paradox

Point

scatterer

Optical

theorem

slide3

Interferometry

Modeling

Inversion

Interferometry

Migration

Non-linear

Paradox

Point

scatterer

Optical

theorem

slide4

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.

slide12

h

i

h

i

Term 4:

g

g

slide15

Interferometry

Paradox

Point

scatterer

Optical

theorem

slide16

Substitute into representation for interferometry

(Snieder et al., 2008, Halliday and Curtis, 2009)…..

slide17

This gives:

Generalized optical theorem (Heisenberg, 1943)

slide18

This gives:

For comparison:

slide19

Interferometry

Non-linear

Paradox

Point

scatterer

Optical

theorem

slide23

(van Rossum et al, 1999)

=

+

+

+

(Snieder, 1999)

slide24

Interferometry

Non-linear

Paradox

Point

scatterer

Optical

theorem

slide25

Interferometry

Non-linear

Paradox

Point

scatterer

Optical

theorem

slide28

Interferometry

Modeling

Inversion

Interferometry

Migration

Non-linear

Paradox

Point

scatterer

Optical

theorem

slide29

Modeling, inversion and interferometry in scatterering media

Groenenboom and Snieder, 1995; Weglein et al., 2003;

Van Manen et al., 2006

slide30

Modeling, inversion and interferometry in scatterering media

Groenenboom and Snieder, 1995; Weglein et al., 2003;

Van Manen et al., 2006

Limiting case:

Point scatterer

slide31

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

conclusions
Conclusions
  • Born approximation is incompatible with seismic interferometry
conclusions1
Conclusions
  • Born approximation is incompatible with seismic interferometry
  • Seismic interferometry optical theorem

non-linear scatterer seismic interferometry

  • Consequences for modeling, inversion, interferometry and migration
conclusions2
Conclusions
  • Born approximation is incompatible with seismic interferometry
  • Seismic interferometry optical theorem

non-linear scatterer seismic interferometry

  • Consequences for modeling, inversion, interferometry and migration
ad