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WAVE EQUATION MIGRATION WITH THE ACCURATE SPACE DERIVATIVE METHOD *
Author(s) -
GAZDAG J.
Publication year - 1980
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.1365-2478.1980.tb01211.x
Subject(s) - partial differential equation , wave equation , seismic migration , partial derivative , mathematical analysis , finite difference , finite difference method , fourier transform , geology , space (punctuation) , derivative (finance) , seismic wave , pseudo spectral method , mathematics , geophysics , fourier analysis , computer science , financial economics , economics , operating system
A bstract A stacked seismic section represents a wave‐field recorded at regularly spaced points on the surface. The seismic migration process transforms this recorded data into a reflectivity display. In recent years, Jon F. Claerbout and his co‐workers developed migration techniques based on the numerical approximation of the wave equation by finite difference methods. This paper describes an alternative method, termed ASD (for Accurate Space Derivative), and its application to the wave equation migration problem. In this approach to the numerical solution of partial differential equations, partial derivatives are computed by finite Fourier transform methods. This migration method can accommodate media with vertical as well as horizontal velocity variations.