1. Two comments about imaging closed forms
Jingfeng Zhang, Fang Liu, Kris Innanen and Arthur Weglein
M-OSRP annual meeting
University of Houston
May 10th –12th, 2006

2. Outline Introduction and Background
Discussions of imaging closed forms
Conclusions and Discussions
Acknowledgments

3. Introduction Leading-Order Imaging Series: High-Order Imaging Series:
1. What difference it will make if the complicated argument moved
to the other side of the equation? What’s the picture here?
2. What is the performance of the HOIS for 1D medium?

4. Background: History of ISS
ISS free surface multiple removal
Prediction + Subtraction; D*D FSM
ISS internal multiple attenuation and elimination
Prediction + Subtraction; D*D*D IM
Imaging with reference medium velocity
D ;
Nonlinear inversion

5. Imaging closed forms Leading-Order Imaging Series:
High-Order Imaging Series:
1. What difference it will make if the complicated argument moved
to the other side of the equation? What’s the picture here?
2. What is the performance of the HOIS for 1D medium?

6. Imaging closed forms Z

7. Imaging closed forms
Leading-Order Imaging Series:

8. Imaging closed forms
Leading-Order Imaging Series:

9. The first point
What difference it will make if the complicated argument moved to the other side of the equation? What’s the picture?
ANS:
(1)The shifted form will make sure deeper events will not help the movement of shallower events.
(2)The distance that will be moved for any interface in will be totally determined by the experience of the event corresponding to that interface; or shallower interfaces and layers.
(3)For small contrast model, the difference between the results for the two forms are neglegible.

10. A little history Simon Shaw: LOIS Kris Innanen: IIS;
A “natural” extension
Fang Liu:

11. The second point
2. What is the performance of the HOIS for 1D medium?

12. The second point
2. What is the performance of the HOIS for 1D medium?

13. Conclusions and Discussions
The shifted LOIS form is more reasonable which makes sure
deeper events will not help the movement of shallower events, or
only shallower events will help the movement of deeper events.
The HOIS closed form can move the first reflector below water bottom to their accurate location for 1D medium.
Further effort is needed to “derive” the shifted form

14. Acknowledgments
Simon Shaw (ConocoPhillips) are thanked for the helpful discussions.
We thank Sam Kaplan for his help in writing the reports.
M-OSRP sponsors are thanked for their support.