Abstract
The Nyquist sampling theorem must be followed in conventional seismic data acquisition; however, due to missing traces or exploration cost constraints, field data acquisition cannot meet the sampling theorem, so prestack data must be reconstructed to meet the requirements. We proposed a new seismic data reconstruction approach based on a fast projection onto convex sets (POCS) algorithm with sparsity constraint in the seislet transform domain, based on compressive sensing (CS) theory in the signal-processing field. In comparison to traditional projection onto convex sets (POCS), the faster projection onto convex sets (FPOCS) can achieve much faster convergence (about two-thirds of conventional iterations can be saved). To address the slow convergence of typical threshold parameters during reconstruction, an exponential square root lowered threshold and process 2-D seismic data reconstruction with hard thresholding has been purposed. Because of the much sparser structure in the seislet transform domain, the seislet transform-based reconstruction approach can clearly achieve better data recoveryresults than f-k transform-based scenarios, in terms of both signal-to-noise ratio (SNR) and visual observation. The proposed approach’s performance is demonstrated using both synthetic and field data examples.
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Abbreviations
- CS:
-
Compressive sensing
- POCS:
-
Projection onto convex sets
- SNR:
-
Signal-to-noise ratio
- FPOCS:
-
Faster projection onto convex sets
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Zhu, J., Li, P. & Zeather, J. Method for reconstructing seismic data using a projection onto a convex set and a complicated curvelet transform. Arab J Geosci 15, 1539 (2022). https://doi.org/10.1007/s12517-022-10810-2
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DOI: https://doi.org/10.1007/s12517-022-10810-2