On iterative regularization methods for migration deconvolution and inversion in seismic imaging

Acta Geophysica Sinica

Volumn 52, Issue 6, 2009, Pages 1615-1624

  Wang, Yan Fei ^a   Yang, Chang Chun ^a   Duan, Qiu Liang ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Migration deconvolution inversion; Optimization; Regularization

Indexed keywords

DECONVOLUTION; GRADIENT ANALYSIS; IMAGING METHOD; INVERSE PROBLEM; LEAST SQUARES METHOD; NUMERICAL MODEL; OPTIMIZATION; SEISMIC METHOD; SEISMIC MIGRATION; SEISMOGRAM;

EID: 70350677026     PISSN: 00015733     EISSN: None     Source Type: Journal    
DOI: 10.3969/j.issn.0001-5733.2009.06.024     Document Type: Article

References (39)

1. Aki K, Richards P G. Quantitative Seismology, Theory and Methods. San Francisco: W. H. Freeman and Company, 1980
2. Claerbout J F. Imaging the Earth' s Interior. Oxford, Blackwell, 1985
3. Sjøberg T, Gelius L-J, Lecomte I. 2D deconvolution of seismic image blur. Expanded Abstracts, SEG 73nd Annual Meeting, Dallas, 2003
4. Nemeth T, Wu C J, Schuster G T. Least-squares migration of incomplete reflection data. Geophysics, 1999, 64(1) ,208-221 (Pubitemid 29280333)
5. Guitton A. Amplitude and kinematic corrections of migrated images for nonunitary imaging operators. Geo physics, 2004, 69:1017-1024 (Pubitemid 39259777)
6. Sacchi M D, Wang J, Kuehl H. Regularized migration/ Inversion, new generation of imaging algorithms. CSEG Recorder, 2006, 31, 54-59
7. Levenberg K. A method for the solution of certain nonlinear problems in least squares. Quart. Appi. Math. , 1944, 2, 164-166
8. Marquardt D W. An algorithm for least-squares estimation of nonlinear inequalities. SIAM J. Appl. Math. , 1963, 11, 431-441
9. Zeng R, Liu H, Chen S J, et al. Application of Cauchyconstraint blind deconvolution in cross-hole seismic data processing. Progress in Geophysics (in Chinese), 2004, 19, 166-172
10. Wang Y F. A restarted conjugate gradient method for illposed problems. Acta Mathematicae Applicatae Sinica, 2003, 19, 31-40
11. Wang Y F, Yuan Y X. Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems. Inverse Problems, 2005, 21, 821-838
12. Tarantola A. Inverse Problems Theory, Methods for Data Fitting and Model Parameter Estimation. Amsterdam, Elsevier, 1987
13. Yang W C. Geophysical Inversion and Seismic Tomography (in Chinese). Beijing ,Geological Publishing House, 1989
14. Ulrych T J. Sacchi M D, Woodbury A. A Bayesian tour to inversion. Geophysics, 2000, 66, 55-69
15. Zhang H B. Yang C C. A constrained impedance inversion method controlled by regularized parameters. Chinese J. Geophys. (in Chinese) ,2003, 46, 827-834
16. Wang Y F, Yang C C, LI X W. A regularizing kernel-based brdf model inversion method for ill-posed land surface parameter retrieval using smoothness constraint. Journal of Geophysical Research ,2008, 113, D13101
17. Lanczos C. Linear Differential Operators. New York, Van Nostrand, 1961
18. Trampert J, Leveque J J. Simultaneous iterative reconstruction technique, physical interpretation based on the generalized least squares solution. Journal of Geophysical Research, 1990, 95, 12553-12559
19. Nolet G. Solving or resolving inadequate noisy tomographic systems. J. Comp. Phys., 1985, 61, 463-482
20. Nolet G. Snieder R. Solving large linear inverse problems by projection. Geophys. J. Int. ,1990, 103, 565-568
21. Murio D A. The Mollification Method and the Numerical Solution of Ill-posed Problems. New York, John Wiley and Sons, 1993
22. Backus G, Gilbert J. Numerical applications of a formalism for geophysical inverse problems. Geophys. J. R. Astron. Soc. , 1967, 13, 247-276
23. Backus G, Gilbert J. The resolving power of gross earth data. Geophys. J. R. Astron. Soc., 1968, 16, 169-205
24. Van Decar J C, Snieder R. Obtaining smooth solutions to large linear inverse problems. Geophysics, 1994, 59, 818-829 (Pubitemid 24428032)
25. Wang Y F. Computational Methods for Inverse Problems and Their Applications(in Chinese). Beijing, Higher Education Press, 2007
26. Engl H W, Hanke M, Neubauer A. Regularization of Inverse Problems. Dorcrecht, Kluwer Academic Publishers, 1996
27. Schuster G T, Hu J X. Green's function for migration, Continuous recording geometry. Geophysics, 2000, 65 ( 1) , 167-175
28. Lecomte I. Resolution and illumination analyses in PSDM, A ray-based approach. The Leading Edge, 2008, 27, 650-663 (Pubitemid 351715569)
29. Tikhonov A N, Arsenin V Y. Solutions of Ill-posed Problems. New York, John Wiley and Sons, 1977
30. Xiao T Y, Yu S G, Wang Y F. Numerical Methods for the Solution of Inverse Problems (in Chinese). Beijing, Science Press, 2003
31. Nashed M Z. Perturbations and approximations for generalized Inverses and linear operators equations. In, Nashed, M. Z. Ed., Generalized Inverses and Applications. 1976. 325-396
32. Schuster G T. Green's functions for migration. Abstracts of Expanded Abstracts 67th SEG meeting, 1997, 1754-1758
33. Stolt R H, Benson A K. Seismic Migration, Theory and Practice, Vol.5, Handbook of Geophysical Exploration, Section I. Seismic Exploration. London, Geophysical Press, 1986
34. Yilmaz O. Seismic Data Processing, Investigations in Geophysics No. 2. Society of Exploration Geophysicists, Tulsa, OkIa, 1987
35. Hu J X, Schuster G T, Valasek P A. Poststack migration deconvolution. Geophysics, 2001, 66(3) ,939-952
36. Chen J, Schuster G T. Resolution limits of migrated images. Geophysics, 1999, 64(4), 1046-1053
37. Yu J H, Hu J X, Schuster G T, Estill R. Prestack migration deconvolution. Geophysic, 71(2):S53-S62, 2006
38. Yuan Y X. Numerical Methods for Nonlinear Programming (in Chinese). Shanghai, Shanghai Science and Technology Press, 1993
39. Touati-Ahmed D, Storey C. Efficient hybrid conjugate gradient techniques. J. Optimization Theory Appl., 1990, 64, 379-397 (Pubitemid 20680712)