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A FILTER, DELAY AND SPREAD TECHNIQUE FOR 3D DMO 1
Author(s) -
FERBER R.G.
Publication year - 1991
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.1365-2478.1991.tb00342.x
Subject(s) - algorithm , offset (computer science) , aliasing , filter (signal processing) , computation , computer science , operator (biology) , digital filter , mathematics , computer vision , chemistry , biochemistry , repressor , transcription factor , gene , programming language
A bstract The calculation of dip moveout involves spreading the amplitudes of each input trace along the source‐receiver axis followed by stacking the results into a 3D zero‐offset data cube. The offset‐traveltime ( x–t ) domain integral implementation of the DMO operator is very efficient in terms of computation time but suffers from operator aliasing. The log‐stretch approach, using a logarithmic transformation of the time axis to force the DMO operator to be time invariant, can avoid operator aliasing by direct implementation in the frequency‐wavenumber ( f–k ) domain. An alternative technique for log‐stretch DMO corrections using the anti‐aliasing filters of the f–k approach in the x‐log t domain will be presented. Conventionally, the 2D filter representing the DMO operator is designed and applied in the f–k domain. The new technique uses a 2D convolution filter acting in single input/multiple output trace mode. Each single input trace is passed through several 1D filters to create the overall DMO response of that trace. The resulting traces can be stacked directly in the 3D data cube. The single trace filters are the result of a filter design technique reducing the 2D problem to several ID problems. These filters can be decomposed into a pure time‐delay and a low‐pass filter, representing the kinematic and dynamic behaviour of the DMO operator. The low‐pass filters avoid any incidental operator aliasing. Different types of low‐pass filters can be used to achieve different amplitude‐versus‐offset characteristics of the DMO operator.