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LONG PERIOD STATICS DETERMINATION BY INVERSE FILTERING *
Author(s) -
KIRKHAM D. J.,
POGGIAGLIOLMI E.
Publication year - 1976
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.1365-2478.1976.tb01570.x
Subject(s) - statics , filter (signal processing) , convolution (computer science) , inverse filter , anomaly (physics) , wavelength , residual , inverse , optics , geometry , geology , mathematics , physics , algorithm , computer science , classical mechanics , machine learning , artificial neural network , computer vision , condensed matter physics
A bstract The relative time shift of CDP reflections, caused by long period statics, is treated as the result of a filtering process. The shape of the filter is that of a comb having the magnitude and spacing of its teeth determined by the CDP spread geometry. Convolution of a near surface anomaly with a comb filter representing the CDP spread geometry produces the same time fluctuations at CDP reflections (CDP statics) as the stacked traces across the anomaly. Conversely, the near surface time anomaly is given by the convolution of the CDP statics with the inverse of the comb filter. Provided that CDP statics can be separated from noise, dip, and residual normal moveout, it is pcissible to determine long period statics with a relative wavelength of between half a spreadlength and five spreadlengths. The object of this paper is to present the theory and practical applications of the method. Several examples based on synthetic and real data will also be discussed.