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

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Presentation on theme: "True Amplitude WEM arising from True Amplitude One-way Wave Equations Yu Zhang, GuanQuan Zhang and Norman Bleistein."— Presentation transcript:

1 True Amplitude WEM arising from True Amplitude One-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 Constant wave speed Fourier transform in t, x, y Forward modeling

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

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

11 Wave equation migration

12 Imaging condition

13 True amplitude WEM

14 Imaging condition

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

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17 Image: U/D

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19 Image: p U /p D

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

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