1. Seismic Interferometry
This is an overview of some salient results from our 2003 UTAM research.
Gerard Schuster
University of Utah

2. Seismic Interferometry
Instead of using just primary
arrivals, you also use the multiples for a wider & more complete view
This is an overview of some salient results from our 2003 UTAM research.
Gerard Schuster
University of Utah

3. Overview of Seismic Interferomtery Short Course
This is an overview of some salient results from our 2003 UTAM research.
Primary reflections
Multiple reflections
Small vs Huge Illumination
Instead of using just primary
arrivals, you also use the multiples for a wider vision

4. Overview of Seismic Interferomtery Short Course
This is an overview of some salient results from our 2003 UTAM research.
Local VSP migration
Redatum sources below overburden
Instead of using just primary
arrivals, you also use the multiples for a wider vision
clearer

5. Overview of Seismic Interferomtery Short Course
This is an overview of some salient results from our 2003 UTAM research.
Data Extrapolation
Instead of using just primary
arrivals, you also use the multiples for a wider vision
clearer

6. Overview of Seismic Interferomtery Short Course
This is an overview of some salient results from our 2003 UTAM research.
Hydrofrac location
Monitoring 4D
Instead of using just primary
arrivals, you also use the multiples for a wider vision
clearer

7. Goal: Learn Principles and Algorithms in Seismic Interferometry
Format Mornings: Lecture 50 minutes, followed by exercise or MATLAB lab.
Format Afternoon: MATLAB labs+discussion.
This is an overview of some salient results from our 2003 UTAM research.
Topics: Deterministic interferometry, stochastic interferometry, 3x3 classification matrix, reciprocity theorems, applications to VSP, SSP, OBS, and Xwell data.

8. What is Seismic Interferometry?
Answer: Correlation and summation of trace pairs and
stacking the result for different shot positions
iwt e xB
iw(t ) e xB
+ t + t Bz zB
iw( ) e
t + t Bz zB =
Point Source Response
with src at B and rec at B *
G(B|x)
G(B|x)
= G(B|B)
VSP => SSP B x A
G(A|B) B
Phase of Common Raypath Cancels
This is an overview of some salient results from our 2003 UTAM research.
direct
reflection z
Assume a VSP experiment

9. What is Seismic Interferometry?
Answer: Correlation and summation of trace pairs and
stacking the result for different shot positions
iwt e xB -
iw(t ) e xB
+ t + t Bz zB
iw( ) e
t + t Bz zB = x
G(B|x) *
Point Source Response
with src at A and rec at B *
= G(B|B)
VSP => SSP B A
G(A|B) B
This is an overview of some salient results from our 2003 UTAM research.
direct
reflection z
Phase of Common Raypath Cancels x x

10. What is Seismic Interferometry?
Answer: Correlation and summation of trace pairs and
stacking the result for different shot positions
iwt e xB
iw(t ) e xB
+ t + t Bz zB
iw( ) e
t + t Bz zB = x
G(B|x)
Point Source Response
with src at A and rec at B *
= G(B|B)
VSP => SSP B A
G(A|B) B
This is an overview of some salient results from our 2003 UTAM research.
direct
reflection z
Phase of Common Raypath Cancels x
Do Not Need to Know Source Location!
No Need to know Source Initiation Time! x

11. Reciprocity Correlation Equation
well
Im(G(A|B) = k dn
= Im[G(B|A)]
[dG(A|x)G(x|B)* - G(A|x)dG(x|B)*]dx !
Reciprocity Correlation Equation
2D Reflection Data x
= G(A|B)
G(x|B)*
G(x|A) k
VSP
VSP
SSP A B B A
Old Multiples Become
New Primaries! x A
Phase of Common Raypath Cancels

12. Stellar Interferometry
stellar interferometry, a team of French astronomers has captured one of the sharpest color images ever made. They observed the star T Leporis
with the European Southern Observatory's Very Large Telescope Interferometer (VLTI; Cerro Paranal, Chile), which emulates a virtual telescope
about 100 meters across, and which revealed a spherical molecular shell around the aged star.
Stellar Interferometry
An astronomical interferometer is an array of telescopes or mirror
segments acting together to probe structures with higher resolution.

13. Standard VSP vs Interferometric VSP Imaging
Standard VSP Imaging
Interferometric VSP Imaging
This is an overview of some salient results from our 2003 UTAM research.
Primary reflections
Multiple reflections
Small vs Huge Illumination
Instead of using just primary
arrivals, you also use the multiples for a wider vision

14. Interferometry Applications
1. VSP -> SSP :
Small vs Huge Illumination
2. VSP -> SWP :
Redatum sources below overburden
Local VSP migration

15. Interferometry Applications
3. SSP -> SSP :
Interpolation
4. OBS-> OBS :
Extrapolation
5. Source estimation

16. Interferometry Applications
6. Passive Imaging:
Monitoring 4D
7. Source Location
Monitoring EOR

17. ! x 1968 Claerbout V(z)+passive 1980s
SELECTIVE HISTORY SEISMIC INTERFEROMETRY ! x
~ G(A|B)
G(A|x)*
G(B|x)
1968
Claerbout V(z)+passive
1980s
Cole+Claerbout V(,x,y,z)+passive?
1990s
Scherbaum earthquake V(z)+passive
1999
Rickett+Claerbout V(z) Helioseismolgy
Daylight Imaging
, passive
2001
Utah Stationary Phase Theory, SSP, and VSP
Seismic Interferomtery, deterministic
Wapenaar Recip. Thm. Correlation Type
Shell Virtual Sources
Snieder Stationary Phase Redatuming
Gestoft + others Surface Wave Interferometry