True Amplitude WEM arising from True Amplitude One-way Wave Equations - PowerPoint PPT Presentation

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True Amplitude WEM arising from True Amplitude One-way Wave Equations PowerPoint Presentation
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True Amplitude WEM arising from True Amplitude One-way Wave Equations

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  1. True Amplitude WEM arising from True AmplitudeOne-way Wave Equations Yu Zhang, GuanQuan Zhang and Norman Bleistein

  2. Basic Plan • Derive dynamically correct one-way wave equations. • Migrate data with the new equations. • Apply imaging condition to dynamically correct migrated data. • Show computer output.

  3. Forward modeling Constant wave speed Fourier transform in t, x, y

  4. What happens when ? • Kinematics are correct. • Dynamics are not.

  5. G. Q. Zhang [1993] Theorem: It works! • Same eikonal equations • Same transport equation

  6. Wave equation migration

  7. Imaging condition

  8. True amplitude WEM

  9. Imaging condition

  10. Theorem: It Works! True Amplitude WEM T Common-shot Kirchhoff Inversion

  11. Image: U/D

  12. Image: pU/pD

  13. Summary • True amplitude one-way wave equations with proof. • True amplitude common-shot WEM with proof. • Numerical check for v(z) only.