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  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.