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In this appendix, the basic strategy for finding a datuming operator
consists of first formulating a forward-modeling operator
and then deriving the corresponding datuming operator
by transposing and taking the complex conjugate
of the forward-modeling operator.
For poststack or zero offset sections,
the forward modeling is an algorithm
that extrapolates the wavefield upward from a flat surface
to an irregular surface by the one-way wave equation,
using half the velocity of the medium.
The modeling algorithm is derived
so that it can be used with any depth extrapolation technique,
including the phase-shift, split-step Fourier,
and finite-difference methods.

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Stanford Exploration Project

2/5/2001