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Book Chapter

Signal Processing: Fourier reconstruction of nonuniformly sampled, aliased seismic data

By
P. M. Zwartjes
P. M. Zwartjes
1Formerly Delft University of Technology; presently Shell International Exploration and Production, Kessler Park 1, 2288 GS Rijswijk, the Netherlands. E-mail: paul.zwartjes@shell.com.
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M. D. Sacchi
M. D. Sacchi
2University of Alberta, Department of Physics, Edmonton, Alberta T6G 2J1, Canada. E-mail: sacchi@phys.ualberta.ca.
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Published:
January 01, 2010

Abstract

There are numerous methods for interpolating uniformly sampled, aliased seismic data, but few can handle the combination of nonuniform sampling and aliasing. We combine the principles of Fourier reconstruction of nonaliased, nonuniformly sampled data with the ideas of frequency-wavenumber (f-k) interpolation of aliased, uniformly sampled data in a new two-step algorithm. In the first step, we estimate the Fourier coefficients at the lower nonaliased temporal frequencies from the nonuniformly sampled data. The coefficients are then used in the second step as an a priori model to distinguish between aliased and nonaliased energy at the higher, aliased temporal frequencies. By using a nonquadratic model penalty in the inversion, both the artifacts in the Fourier domain from nonuniform sampling and the aliased energy are suppressed. The underlying assumption is that events are planar; therefore, the algorithm is applied to seismic data in overlapping spatiotemporal windows.

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Contents

Geophysical References Series

Geophysics Today: A Survey of the Field as the Journal Celebrates its 75th Anniversary

Sergey Fomel
Sergey Fomel
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Society of Exploration Geophysicists
Volume
16
ISBN electronic:
9781560802273
Publication date:
January 01, 2010

GeoRef

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