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Amplitude-preserving wave-equation migration

This study by Paul Sava and Biondo Biondi of Stanford University focuses on the problem of recovering reliable migration amplitudes, specifically reflectivity as a function of incidence angle. The migration algorithm applies amplitude corrections to the migration operator to restore amplitudes in shadow zones while ensuring illumination balance. The agenda includes definitions, methods, and applications related to angle-domain common image gathers, amplitude corrections, imaging effects, propagation effects, and acquisition effects. The text language is English.

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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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