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I have developed a poststack and a prestack datuming scheme
that use wavefield depth extrapolation.
The method allows the use of any depth extrapolation technique
such as phase-shift, split-step, or finite-difference extrapolation.
The derivation of the datuming algorithms is obtained
by transposing and taking the complex conjugate
of the corresponding forward modeling operator
which does upward extrapolation
from a flat surface to an irregular surface.
The exact conjugate relation between the forward modeling operator and
the datuming operator is demonstrated algebraically
and confirmed by the dot-product test.
Several tests of the datuming algorithms
with synthetic data and real data
show that the method works well.

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Stanford Exploration Project

11/17/1997