Translations:Phase-shift migration/3/en

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  1. Just as any other migration algorithm, start with the two-way scalar wave equation (12).
  2. Assume constant velocity and perform 3-D Fourier transform and obtain the dispersion relation between the transform variables (equation 13a).
  3. Then, adapt the dispersion relation to the exploding reflectors model by halving the velocity for the upcoming waves (equation 13b).
  4. Operate on the pressure wavefield P and inverse transform in z to obtain the differential equation (20).
  5. Obtain the solution given by equation (21).