Geophysics · 2015 · 191 citations · 34 references
Natural SciencesEarth SciencesGeophysicsEarthquake EngineeringSeismologyTime Series AnalysisDigital Signal ProcessingGeophysical Data ProcessingGeophysical Signal ProcessingSeismic Data ProcessingSeismic ImagingDenoisingEmpirical Mode DecompositionNoise RemovalSeismic Data DenoisingSeismic Noise SuppressionSeismic ProcessingSeismic Signal ProcessingThresholding
ABSTRACT Random and coherent noise exists in microseismic and seismic data, and suppressing noise is a crucial step in seismic processing. We have developed a novel seismic denoising method, based on ensemble empirical mode decomposition (EEMD) combined with adaptive thresholding. A signal was decomposed into individual components called intrinsic mode functions (IMFs). Each decomposed signal was then compared with those IMFs resulting from a white-noise realization to determine if the original signal contained structural features or white noise only. A thresholding scheme then removed all nonstructured portions. Our scheme is very flexible, and it is applicable in a variety of domains or in a diverse set of data. For instance, it can serve as an alternative for random noise removal by band-pass filtering in the time domain or spatial prediction filtering in the frequency-offset domain to enhance the lateral coherence of seismic sections. We have determined its potential for microseismic and reflection seismic denoising by comparing its performance on synthetic and field data using a variety of methods including band-pass filtering, basis pursuit denoising, frequency-offset deconvolution, and frequency-offset empirical mode decomposition.
34
Norden E. Huang, Steven Long, Man‐Li C. Wu et al. · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 1998 · 23.3K citations · Full text
Computing, Computational Engineering, Biomedical Signal Processing +16
De-noising by soft-thresholding
David L. Donoho · IEEE Transactions on Information Theory · 1995 · 9.6K citations
Ideal spatial adaptation by wavelet shrinkage
David L. Donoho, Iain M. Johnstone · Biometrika · 1994 · 7.8K citations
Atomic Decomposition by Basis Pursuit
Scott Shaobing Chen, David L. Donoho, Michael A. Saunders · SIAM Review · 2001 · 5.1K citations