Iterative resolution estimation in least‐squares Kirchhoff migration

References

1. BearG., LuR., LuC.P., WatsonI. and WillenD.1999. The construction of subsurface illumination and amplitude maps via ray tracing. 69th SEG meeting, Houston, USA, Expanded Abstracts, 1532 – 1535.
2. BerrymanJ.G.2000a. Analysis of approximate inverses in tomography I. Resolution analysis of common inverses.Optimization and Engineering1, 87 – 115.
   [Google Scholar]
3. BerrymanJ.G.2000b. Analysis of approximate inverses in tomography II. Iterative inverses.Optimization and Engineering1, 437 – 473.
   [Google Scholar]
4. ChaventG. and PlessixR.E.1999. An optimal true‐amplitude least‐squares prestack depth‐migration operator.Geophysics64, 508 – 515.
   [Google Scholar]
5. ClaerboutJ.F.1992. Earth Soundings Analysis: Processing versus Inversion. Blackwell Scientific Publications.
   [Google Scholar]
6. ColeS. and KarrenbachM.1992. Least-squares Kirchhoff Migration. Report No. 95, pp. 101 – 110. Stanford Exploration Project . Available at http://sepwww.stanford.edu/public/docs/sep75/toc_html.
   [Google Scholar]
7. DuquetB. and MarfurtK.J.1999. Filtering coherent noise during prestack depth migration.Geophysics64, 1054 – 1066.
   [Google Scholar]
8. DuquetB., MarfurtK.J. and DellingerJ.A.1998. Efficient estimates of subsurface illumination for Kirchhoff prestack depth migration. 68th SEG meeting, New Orleans, USA, Expanded Abstracts, 1116 – 1119.
9. EhingerA. and LaillyP.1995. Velocity model determination by the smart method, part 1: Theory. 65th SEG meeting, Houston, USA, Expanded Abstracts, 739 – 742.
10. FletcherR. and ReevesC.M.1964. Function minimization by conjugate gradients.Computer Journal7, 149 – 154.
    [Google Scholar]
11. HestenesM.R. and StiefelE.1952. Methods of conjugate gradients for solving linear systems.Journal Res. Nat. Bur. Stand.49, 409 – 436.
    [Google Scholar]
12. JacksonD.D.1972. Interpretation of inaccurate, insufficient, and inconsistent data. Geophysical Journal of the Royal Astronomical Society28, 97 – 109.
    [Google Scholar]
13. JacobsJ.A.C., Delprat‐JannaudF., EhingerA. and LaillyP.1992. Sequential migration aided reflection tomography: a tool for imaging complex structures. 62nd SEG meeting, New Orleans, USA, Expanded Abstracts, 1054 – 1057.
14. KleinmanR.E., VanDen and BergP.M.1991. Iterative methods for solving integral equations.Radio Science26, 175 – 181.
    [Google Scholar]
15. LanczosC.1950. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators.Journal Res. Nat. Bur. Stand.45, 255 – 282.
    [Google Scholar]
16. LaurainR. and VinjeV.2001. Prestack depth migration and illumination maps. 71st SEG meeting, San Antonio, USA, Expanded Abstracts, 929 – 932.
17. MinkoffS.E.1996. A computationally feasible approximate resolution matrix for seismic inverse problems.Geophysical Journal International126, 345 – 359.
    [Google Scholar]
18. MuerdterD. and RatcliffD.2000. Subsalt illumination determined by ray‐trace modeling: a catalog of seismic amplitude distortions caused by various salt shapes. 70th SEG meeting, Calgary, Canada,Expanded Abstracts, 733 – 736.
19. NemethT.1999. Imaging and filtering by least‐squares migration. PhD thesis, University of Utah.
20. NemethT., WuC. and SchusterG.T.1999. Least‐squares migration of incomplete reflection data.Geophysics64, 208 – 221.
    [Google Scholar]
21. PaigeC.C. and SaundersM.A.1982. LSQR: An algorithm for sparse linear equations and sparse least squares.ACM Transactions in Mathematical Software8, 43 – 71.
    [Google Scholar]
22. TarantolaA.1987. Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation.Elsevier Science Publishing Co.
    [Google Scholar]
23. WangY.H. and PrattR.G.1997. Sensitivities of seismic traveltimes and amplitudes in reflection tomography.Geophysical Journal International131, 618 – 642.
    [Google Scholar]
24. YaoZ.S., RobertsR.G. and TryggvasonA.1999. Calculating resolution and covariance matrices for seismic tomography with the LSQR method.Geophysical Journal International138, 886 – 894.
    [Google Scholar]