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The proof that NMO can be expressed as the superposition
of *N* *N*^{th} 15-degree partial normal moveouts with arbitrary precision
as , can be summarized in this way:
- The relation holds exactly for partial normal moveouts.
- The 15-degree partial normal moveout approximates a partial normal
moveout with an error that tends to zero faster than 1/
*N* with increasing *N*,
so that the total error (=sum of *N* errors) tends to zero with increasing *N*.

In cascaded migrations, a small number of iterations is used; hence
inequality (34) may be used for an estimation of the number of iterations
required to achieve angle accuracy.

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Stanford Exploration Project

1/13/1998