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A SIMPLE EXACT METHOD OF 3‐D MIGRATION—THEORY *
Author(s) -
JAKUBOWICZ H.,
LEVIN S.
Publication year - 1983
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1983.tb01040.x
Subject(s) - implementation , equivalence (formal languages) , heuristic , scalar (mathematics) , simple (philosophy) , wavenumber , equivalence point , computer science , space (punctuation) , mathematics , algorithm , mathematical analysis , mathematical optimization , physics , optics , geometry , pure mathematics , quantum mechanics , ion , philosophy , operating system , epistemology , programming language , potentiometric titration
A bstract Recently, a heuristic and empirical analysis of a method of three‐dimensional (3‐D) migration has been presented by Gibson, Larner, and Levin. It consists of sets of two‐dimensional (2‐D) migrations in orthogonal directions. In this paper, we examine this two‐pass method using scalar wave theory and show its action to be identical to that of so‐called full 3‐D migration for constant‐velocity media. The demonstration of equivalence is carried out in both the frequency‐space and frequency‐wavenumber domains, the latter providing a particularly transparent view of the mechanism of the two‐pass approach. We then extend our analysis to consider how various approximate algorithms used in practical implementations affect the validity of our conclusion.