Unification of single‐configuration seismic imaging processes

References

1. BeylkinG.1985. Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform. Journal of Mathematical Physics26, 99–108.
   [Google Scholar]
2. BleisteinN.1984. Mathematical Methods for Wave Phenomena . Academic Press, New York .
   [Google Scholar]
3. BleisteinN.1987. On the imaging of reflectors in the Earth. Geophysics52, 931–942.
   [Google Scholar]
4. BleisteinN.1999. Hagedoorn told us how to do Kirchhoff migration and inversion. The Leading Edge18, 918–920, 922–927.
   [Google Scholar]
5. BleisteinN., CohenJ.K. and StockwellJ.2000. Mathematics of Multidimensional Seismic Migration, Imaging and Inversion . Springer‐Verlag.
   [Google Scholar]
6. BracewellR.N.1986. The Fourier Transform and Its Applications . McGraw‐Hill, Inc.
   [Google Scholar]
7. ClaerboutJ.F.1985. Imaging the Earth's Interior . Blackwell.
   [Google Scholar]
8. De HoopM.V., SpencerC. and BurridgeR.1999. The resolving power of seismic amplitude data: An anisotropic inversion/migration approach. Geophysics64, 852–873.
   [Google Scholar]
9. DeregowskiS.M. and RoccaF.1981. Geometrical optics and wave theory of constant offset sections in layered media. Geophysical Prospecting29, 374–406.
   [Google Scholar]
10. Gel'fandI.M. and ShilovG.E.1964. Generalized Functions, Volume 1: Properties and Operations . Academic Press.
    [Google Scholar]
11. GoldinS.V.1990. A geometrical approach to seismic processing: The method of discontinuities. Stanford Exploration Project67, 171–209.
    [Google Scholar]
12. GuggenheimerH.W.1977. Differential Geometry . Dover Publications, Inc.
    [Google Scholar]
13. HagedoornJ.G.1954. A process of seismic reection interpretation. Geophysical Prospecting2, 85–127.
    [Google Scholar]
14. HubralP., SchleicherJ. and TygelM.1996. A unified approach to 3‐D seismic reection imaging, Part I: Basic concepts. Geophysics61, 742–758.
    [Google Scholar]
15. JaramilloH.1998. Seismic Data Mapping . PhD thesis, Colorado School of Mines .
    [Google Scholar]
16. JaramilloH. and BleisteinN.1999. The link of Kirchhoff migration and demigration to Kirchhoff and Born modeling. Geophysics64, 1793–1805.
    [Google Scholar]
17. M.Tygel
    JaramilloH., SchleicherJ. and TygelM.1997. Discussion and Errata to: A unified approach to 3–D seismic reection imaging, Part II: Theory, by M.Tygel , J.Schleicher , and P.Hubral . Geophysics63, 670–673.
    [Google Scholar]
18. RektorysK.1969. Survey of Applicable Mathematics . The MIT Press.
    [Google Scholar]
19. SantosL., SchleiderJ., TygelM. and HubralP.2000. Seismic modeling by demigration. Geophysics65, 1128–1289.
    [Google Scholar]
20. SchneiderW.A.1971. Developments in seismic data‐processing and analysis (1968–1970). Geophysics36, 1043–1073.
    [Google Scholar]
21. TygelM., SchleicherJ. and HubralP.1994. Pulse distortion in depth migration. Geophysics59, 1561–1569.
    [Google Scholar]
22. TygelM., SchleicherJ. and HubralP.1995. Dualities involving reflectors and reflection‐time surfaces. Journal of Seismic Exploration4, 123–150.
    [Google Scholar]
23. TygelM., SchleicherJ. and HubralP.1996. A unified approach to 3‐D seismic reection imaging, Part II: Theory. Geophysics61, 759–775.
    [Google Scholar]