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

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Presentation transcript:

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. Show computer output.

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

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

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

Wave equation migration

Imaging condition

True amplitude WEM

Imaging condition

Theorem: It Works! True Amplitude WEM TCommon-shot Kirchhoff Inversion

Image: U/D

Image: p U /p D

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