Unaliased spatial trace interpolation in the f-k domain

Communications – electrical: acoustic wave systems and devices – Seismic prospecting – Land-reflection type

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367 59, 364421, G01V 128

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active

056778929

ABSTRACT:
A computer-aided method for providing a de-aliased output data set d.sub.L (t,x.sub.L,y.sub.L) from a spatially aliased, three-dimensional, input data set of known seismic signals, a(t,x,y), where L is an interpolator. The known data set is zero-padded by L. The zero-padded data set is zero-masked. The zero-padded data set is divided by a zero-padded, zero-masked data set to provide an interpolation operator H.sub.L. L-1 zero traces are interleaved between the known traces of data set a(t,x,y) to provide a zero-inserted data set c.sub.L ((t,x.sub.L,y.sub.L) whose transform is C.sub.L (m,k.sub.xL,k.sub.yL). The product of (H.sub.L) with (C.sub.L) is (D.sub.L) which is inverse-transformed to provide the desired de-aliased data set d.sub.L (t,x.sub.L,y.sub.L).

REFERENCES:
patent: 4594693 (1986-06-01), Pann etal.
patent: 4964098 (1990-10-01), Hornbostel
patent: 5235556 (1993-08-01), Monk et al.
patent: 5617372 (1997-04-01), Gulunay et al.
"Seismic Trace Interpolation in the f-x Domain", S. Spitz; Geophysics, vol. 56, No. 6 (Jun. 1991); pp. 785-794, 11 Figures.

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