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3D OBS->OBS Interferometry

3D OBS->OBS Interferometry. Sherif Hanafy February 2009. Outline. Problem: Missing and sparse traces Theory: Interferometric interpolation and extrapolation Numerical results: SEG/EAGE model Conclusions and future work. Outline. Problem: Missing and sparse traces

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3D OBS->OBS Interferometry

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  1. 3D OBS->OBS Interferometry Sherif Hanafy February 2009

  2. Outline • Problem: Missing and sparse traces • Theory: Interferometric interpolation and extrapolation • Numerical results: • SEG/EAGE model • Conclusions and future work

  3. Outline • Problem: Missing and sparse traces • Theory: Interferometric interpolation and extrapolation • Numerical results: • SEG/EAGE model • Conclusions and future work

  4. Water Water Problem In marine surveys, receiver interval could be large (especially in cross line direction) Solution: Use interferometric interpolation

  5. Outline • Problem: Missing and sparse traces • Theory: Interferometric interpolation and extrapolation • Numerical results: • SEG/EAGE model • Conclusions and future work

  6. SSP SSP SSP Ocean Surface Ocean Surface Ocean Surface x x B B A A Sea bed Sea bed x B A Sea bed Reflectors Reflectors G(x|B) Model based data G(x|A) Natural Green’s function G(B|A) Interpolated data Theory Virtual receiver Virtual source

  7. 0 Ocean Surface 0 Sea bed Time (s) x 0 Time (s) 3.0 0 X (km) 4.5 Time (s) 3.0 0 X (km) 4.5 3.0 0 X (km) 4.5 Workflow Input Data G(x|B) Input Field Data G(x|A) Water Layer Thickness Generate GF for Water Multiples Unfiltered Virtual Interpolate/Extrapolate Missing Data Filtered Virtual Get Virtual CSG G(B|A) Matching Filter N Max. Itr (MF) Y N Max Iter Intr/Extr Y Final CSG

  8. Outline • Problem: Missing and sparse traces • Theory: Interferometric interpolation and extrapolation • Numerical results: • SEG/EAGE model • Conclusions and future work

  9. 1500 Velocity (m/s) 4500 SEG/EAGE Velocity Model

  10. Sparse geometry Dense geometry Acquisition Parameters • Goal • 22 Streamers • Crossline offset is 10 m • Inline offset is 4 m • 508 receivers/streamer • Total number of receivers 11176 • Input • 8 Streamers • Crossline offset is 30 m • Inline offset is 12 m • 170 receivers/streamer • Total number of receivers 1360

  11. 0 Time (s) 1 2 8 1 2 Streamer Scale 0 2 km SEG/EAGE Model – Input Data

  12. 0 Time (s) 1 2 1’ 2’ 8 1 1’ 2’ 2 Streamer Scale 0 2 km SEG/EAGE Model – Virtual Data

  13. 0 Time (s) 8 1 2 3 4 Streamer Scale 0 2 km SEG/EAGE Model – Real Data

  14. Outline • Problem: Missing and sparse traces • Theory: Interferometric interpolation and extrapolation • Numerical results: • SEG/EAGE model • Conclusions and future work

  15. Conclusions • 3D marine SSP data can be interpolated with interferometry. • Proposed approach is successfully tested on a synthetic model. • Number of receivers can be increased 8 to 10 times by interferometry.

  16. Future Work • Extrapolation of the data • Test on field data, we need field data to complete this part

  17. Acknowledgement We would like to thank the UTAM 2008 sponsors for their support. Thank You

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