Deghosting of towed streamer and OBC data

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Presentation transcript:

Deghosting of towed streamer and OBC data Jingfeng Zhang, Arthur B. Weglein M-OSRP Annual Meeting, University of Houston March 31 – April 1, 2004

Outline Motivation Theory overview Towed streamer deghosting Theory and strategy Numerical tests Ocean bottom deghosting Conclusions and plans Acknowledgements

Motivation Towed streamer deghosting Conventional methods New techniques Ocean Bottom deghosting

M-OSRP projects Wavelet estimation Deghosting Interpolation and extrapolation 3-D multiple attenuation Inverse scattering sub series for imaging Inverse scattering sub series for inversion

Theory Overview Weglein et al. (2002) F.S. M.S. earth

Note (1)

Green’s Second Identity Note (2) Green’s Second Identity

Note (3) Deghosting formula Eq. (1) Weglein et al. (2002) earth F.S. M.S. Weglein et al. (2002) earth

Note (4) Field prediction Eq. (2) Scattered field prediction Eq. (3) F.S. H. Tan (1992) and A.Osen et al. (1998) M.S. Scattered field prediction Eq. (3) earth H. Tan (1999), Weglein et al. (2000)

Note (5) Wavelet estimation Eq. (4) Weglein and Secrest, (1990) earth F.S. Wavelet estimation Eq. (4) Weglein and Secrest, (1990) M.S. earth

Notes conclusion

Towed streamer deghosting (Theory) Weglein et al. (2002) F.S. Pseudo-M.S. M.S.

Towed streamer deghosting (Theory) H. Tan (1992) and A.Osen et al. (1998) H. Tan (1999), Weglein et al. (2002)

Towed streamer deghosting (Theory) K=0.3 (f~72Hz) Pseudo-M.S.

Towed streamer deghosting (Theory)

Towed streamer deghosting (Theory) (2) (3)

Towed streamer deghosting (Theory) Offset x (m) Exact A(w)=1.0

Towed streamer deghosting (Numerical tests) F.S. (0,2) 6.0m M.S. 300m c1=1500m/s c2=2250m/s

Ricker wavelet

Total data received At (1500,6.0) At (0,6.0)

Wavelet approximation

Wavelet approximation

Depth sensitivity K=0.3 (f~72Hz) Pseudo-M.S. A1(w)=(2,3),A2=0.04*A1,A3=0.03*A1,A4=0.3*A1 Pseudo-M.S.

Red solid: Exact Up-going P (5.8m) Blue dash: Predicted Up-going P (6.3m) (using wrong depth 6.5m)

Red solid: Exact Up-going P (5.8m) Blue dash: Predicted Up-going P (6.3m) (using wrong depth 6.5m)

Red solid: Exact Up-going P (5.8m) Blue dash: Predicted Up-going P (6.3m) (using wrong depth 6.5m)

Red solid: Exact Up-going P (5.8m) Blue dash: Predicted Up-going P (6.3m) (using wrong depth 6.5m)

Ocean bottom data deghosting (Theory) Weglein et al. (2002) Both and (particle velocity) are measured. Noise on geophone Coupling issue and scale factor : actually measured are and

Ocean bottom data deghosting (Theory) Troublesome and historic impediment measurement Two stable measurements Triangle relationship Wavelet estimation Weglein and Secrest, (1990)

Ocean bottom data deghosting (Theory) In this procedure: Using and A(w) to calculate Deghosting

Conclusions for towed streamer deghosting If source wavelet is available, the deghosting algorithm performs well, as expected. With an approximate wavelet, the algorithm still works well. If the rough duration of the source wavelet is known, very good deghosting result can be obtained. Field data test is planned for 2004.

Plans and Acknowledgements Numerical tests on the proposed procedure for ocean bottom deghosting using both synthetic and ocean bottom cable field data. We thank M-OSRP sponsors for supporting this project. Special thanks to Nizar Chemingui and Jon Sheiman for their interests. We thank A. de-Hoop for providing references and Hing Tan for valuable discussions.