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Seismic data interpolation using nonlinear shaping regularization

YANGKANG CHEN1 ,  LELE ZHANG2 ,  L.-WEI MO3
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1 Bureau of Economic Geology, John A. and Katherine G. Jackson School of Geosciences, The University of Texas at Austin, University Station, Box X, Austin, TX 78713-8924, U.S.A.,
2 Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 102200, P.R. China.,
3 Research and Development Technology Group, Fairfield Nodal, 1111 Gillingham Lane, Sugar Land, TX 77478, U.S.A.,
JSE 2015, 24(4), 327–342;
Submitted: 27 January 2015 | Accepted: 28 May 2015 | Published: 1 September 2015
© 2015 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

Chen, Y., Zhang, L. and Mo, L.-W., 2015. Seismic data interpolation using nonlinear shaping regularization. Journal of Seismic Exploration, 24: 327-342. Seismic data interpolation plays an indispensable role in common seismic data processing workflows. Iterative shrinkage thresholding (IST) and projection onto convex sets (POCS) can both be considered as a specific form of nonlinear shaping regularization. Compared with linear form of shaping regularization, the nonlinear version can be more adaptive because the shaping operator is not limited to be linear. With a linear combination operator, we introduce a faster version of nonlinear shaping regularization. The new shaping operator utilizes the information of previous model to better constrain the current model. Both synthetic and field data examples demonstrate that the nonlinear shaping regularization can be effectively used to interpolate irregular seismic data and the proposed faster version of shaping regularization can indeed get obvious faster convergence.

Keywords
seismic data interpolation
nonlinear shaping regularization
faster shaping regularization
iterative shrinkage thresholding
projection onto convex sets
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Journal of Seismic Exploration, Print ISSN: 0963-0651, Published by AccScience Publishing
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