Random noise attenuation by a selective hybrid approach using f-x empirical mode decomposition

Empirical mode decomposition (EMD) becomes attractive recently for random noise attenuation because of its convenient implementation and ability in dealing with non-stationary seismic data. In this paper, we summarize the existing use of EMD in seismic data denoising and introduce a general hybrid scheme which combines f???x EMD with a dipping-events retrieving operator. The novel hybrid scheme can achieve a better denoising performance compared with the conventional f???x EMD and selected dipping event retriever. We demonstrate the strong horizontal-preservation capability of f???x EMD that makes the EMD based hybrid approach attractive. When f???x EMD is applied to a seismic profile, all the horizontal events will be preserved, while leaving few dipping events and random noise in the noise section, which can be dealt with easily by applying a dipping-events retrieving operator to a specific region for preserving the useful dipping signal. This type of incomplete hybrid approach is termed a selective hybrid approach. Two synthetic and one post-stack field data examples demonstrate a better performance of the proposed approach.

[1]  Yangkang Chen Deblending using a space-varying median filter , 2014 .

[2]  Sanyi Yuan,et al.  A local f-x Cadzow method for noise reduction of seismic data obtained in complex formations , 2011 .

[3]  Mauricio D. Sacchi,et al.  Denoising seismic data using the nonlocal means algorithm , 2012 .

[4]  Mirko van der Baan,et al.  Time-Frequency Representation of Microseismic Signals using the Synchrosqueezing Transform , 2013, ArXiv.

[5]  Jingwei Hu,et al.  Iterative deblending of simultaneous-source seismic data using seislet-domain shaping regularization , 2014 .

[6]  Yangkang Chen,et al.  Irregular seismic data reconstruction using a percentile-half-thresholding algorithm , 2014 .

[7]  J. Claerbout,et al.  Lateral prediction for noise attenuation by t-x and f-x techniques , 1995 .

[8]  Yang Liu,et al.  Seislet transform and seislet frame , 2010 .

[9]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[10]  Yanghua Wang,et al.  Random noise attenuation using forward-backward linear prediction , 1999 .

[11]  Mao Jian,et al.  On the denoising method of prestack seismic data in wavelet domain , 2006 .

[12]  R. Neelamani,et al.  Coherent and random noise attenuation using the curvelet transform , 2008 .

[13]  J. Nasseri,et al.  Random and Coherent Noise Attenuation by Empirical Mode Decomposition , 2011 .

[14]  Paul Sava,et al.  Madagascar: open-source software project for multidimensional data analysis and reproducible computational experiments , 2013 .

[15]  Patrick Flandrin,et al.  A complete ensemble empirical mode decomposition with adaptive noise , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[16]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[17]  Wei Chen,et al.  Noise reduction based on wavelet threshold filtering and ensemble empirical mode decomposition , 2012 .

[18]  Guochang Liu,et al.  Random noise attenuation using f-x regularized nonstationary autoregression , 2012 .

[19]  Zhenchun Li,et al.  Curvelet threshold denoising joint with empirical mode decomposition , 2013 .

[20]  Jiang Yuan,et al.  Deblending using normal moveout and median filtering in common-midpoint gathers , 2014 .

[22]  L. Canales Random Noise Reduction , 1984 .

[23]  Jingye Li,et al.  Seismic noise attenuation using nonstationary polynomial fitting , 2011 .

[24]  Mirko van der Baan,et al.  Random and coherent noise attenuation by empirical mode decomposition , 2009 .

[25]  M. Sacchi,et al.  Simultaneous seismic data denoising and reconstruction via multichannel singular spectrum analysis , 2011 .

[26]  Felix J. Herrmann,et al.  Seismic denoising with nonuniformly sampled curvelets , 2006, Computing in Science & Engineering.

[27]  Yangkang Chen,et al.  Random noise attenuation by f-x empirical mode decomposition predictive filtering , 2014 .