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PLANE‐WAVE CONSTRAINTS IN 2D FILTER DESIGN 1
Author(s) -
WALTHAM D.
Publication year - 1992
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.1365-2478.1992.tb00379.x
Subject(s) - filter (signal processing) , offset (computer science) , plane (geometry) , domain (mathematical analysis) , frequency domain , geology , grid , optics , acoustics , algorithm , mathematical analysis , mathematics , computer science , physics , geometry , geodesy , computer vision , programming language
A bstract A method is presented for developing and/or evaluating 2D filters applied to seismic data. The approach used is to express linear 2D filtering operations in the space‐frequency ( x–ω ) domain. Correction filters are then determined using plane‐wave constraints. For example, requiring a vertically propagating plane wave to be unaffected by migration necessitates application of a half‐derivative correction in Kirchhoff migration. The same approach allows determination of the region of time‐offset space where half‐derivative corrections are correct in x–t domain dip moveout. Finally, an x–ω domain dip filter is derived using the constraint that a plane wave be attenuated as its dip increases. This filter has the advantage that it is significantly faster than f–k domain dip filtering and can be used on irregularly spaced data. This latter property also allows the filter to be used for interpolation of irregular data onto a regular grid.