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True Amplitude WEM arising from True Amplitude One-way Wave Equations. Yu Zhang, GuanQuan Zhang and Norman Bleistein. Basic Plan. Derive dynamically correct one-way wave equations. Migrate data with the new equations. Apply imaging condition to dynamically correct migrated data.

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true amplitude wem arising from true amplitude one way wave equations

True Amplitude WEM arising from True AmplitudeOne-way Wave Equations

Yu Zhang, GuanQuan Zhang

and Norman Bleistein

basic plan
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.
slide3

Forward modeling

Constant wave speed

Fourier transform in t, x, y

slide5

What happens when

?

  • Kinematics are correct.
  • Dynamics are not.
g q zhang 1993
G. Q. Zhang [1993]

Theorem: It works!

  • Same eikonal equations
  • Same transport equation
theorem it works
Theorem: It Works!

True Amplitude WEM

T Common-shot Kirchhoff Inversion

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