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

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

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## True Amplitude WEM arising from True Amplitude One-way Wave Equations

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**True Amplitude WEM arising from True AmplitudeOne-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.**Forward modeling**Constant wave speed Fourier transform in t, x, y**What happens when**? • Kinematics are correct. • Dynamics are not.**G. Q. Zhang [1993]**Theorem: It works! • Same eikonal equations • Same transport equation**Theorem: It Works!**True Amplitude WEM T Common-shot Kirchhoff Inversion**Summary**• True amplitude one-way wave equations with proof. • True amplitude common-shot WEM with proof. • Numerical check for v(z) only.