23 September 1994 Born or Kirchoff migration/inversion: what is the earth's point of view?
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Born and Kirchhoff approximations are frequently used in seismic imaging and have different assumptions. A Born and a Kirchhoff prestack depth migration/inversion techniques formulated in the space-time domain are briefly reviewed. These are used and compared on a field data collected above a hydrocarbon reservoir. Synthetic tests although interesting could not provide the answer to the question: can the physics (measurements) distinguish between these two approximations? Multiparameter images (relative changes in P-wave and S-wave impedances) produced by these two m/i techniques are presented along with their differences. Forward modeling with a calibrated ray-Born modeling technique is performed on resulting images from the Born and Kirchhoff m/i. Synthetics are compared to the field data. A residual energy function computed as a function of shot point number appraises which approximation represents best the real data. Although differences are small, results show that for this real data case the Kirchhoff approximation is more physical than the Born approximation.
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Wafik B. Beydoun, Wafik B. Beydoun, Side Jin, Side Jin, } "Born or Kirchoff migration/inversion: what is the earth's point of view?", Proc. SPIE 2301, Mathematical Methods in Geophysical Imaging II, (23 September 1994); doi: 10.1117/12.187498; https://doi.org/10.1117/12.187498

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