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Amplitude-preserving wave-equation migration

Amplitude-preserving wave-equation migration. Paul Sava* Stanford University Biondo Biondi Stanford University. The problem. Recover reliable migration amplitudes: i.e. reflectivity as a function of incidence angle. Reflectivity description

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Amplitude-preserving wave-equation migration

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  1. Amplitude-preservingwave-equation migration Paul Sava* Stanford University Biondo BiondiStanford University

  2. The problem Recover reliable migration amplitudes: i.e. reflectivity as a function of incidence angle Reflectivity description Describe reflectivity as a function of incidence angle Migration algorithm Apply amplitude corrections to the migration operator Illumination balance Restore amplitudes in shadow zones

  3. Agenda Definitions Angle-domain common image gathers Methods Amplitude corrections Imaging effects Propagation effects Acquisition effects Applications

  4. Common image gathers h h flat events focused events z z g g flat events flat events z z Kirchhoff Wave-equation Offset domain Angle domain

  5. Angle-Domain Common Image Gathers Source Receiver V(x,y,z) g g 2h g g a v S-G migration Prucha et al., 1999 Sava et al., 2001 Shot-profile migration de Bruin et al., 1990 Rickett & Sava, 2001

  6. ADCIG: S-G migration

  7. Agenda Definitions Angle-domain common image gathers Methods Amplitude corrections Imaging effects Propagation effects Acquisition effects Applications

  8. Modeling operator modeling migration

  9. Jacobian weighting: arbitrary geometry 2h g g a s image space data space

  10. Jacobian weighting: flat reflectors 2h g g image space s data space (Wapenaar et al., 1999)

  11. Jacobian weighting Ideal offset-gather Ideal angle-gather Reflection angle Offset ray parameter

  12. Jacobian weighting Ideal offset-gather Ideal angle-gather Reflection angle Offset ray parameter

  13. Agenda Definitions Angle-domain common image gathers Methods Amplitude corrections Imaging effects Propagation effects Acquisition effects Applications

  14. WKBJ & scattering operators Clayton & Stolt (1981) Clayton & Stolt (1981) Stolt & Benson (1986)

  15. Agenda Definitions Angle-domain common image gathers Methods Amplitude corrections Imaging effects Propagation effects Acquisition effects Applications

  16. Stationary-phase operator 2-D Bleistein & Handelsman (1975) CAM

  17. Agenda Definitions Angle-domain common image gathers Methods Amplitude corrections Imaging effects Propagation effects Acquisition effects Applications

  18. Applications Pseudo-unitary migration True-amplitude migration

  19. Example: vertical section

  20. Example: vertical section

  21. Example: horizontal section uncorrected

  22. Example: horizontal section corrected

  23. Summary • Amplitude-preserving transformation to the angle domain • Amplitude corrections • imaging effects • propagation effects • acquisition effects

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