Random noise attenuation by f-x empirical mode decomposition predictive filtering

ABSTRACTRandom noise attenuation always played an important role in seismic data processing. One of the most widely used methods for suppressing random noise was f‐x predictive filtering. When the subsurface structure becomes complex, this method suffered from higher prediction errors owing to the large number of different dip components that need to be predicted. We developed a novel denoising method termed f‐x empirical-mode decomposition (EMD) predictive filtering. This new scheme solved the problem that makes f‐x EMD ineffective with complex seismic data. Also, by making the prediction more precise, the new scheme removed the limitation of conventional f‐x predictive filtering when dealing with multidip seismic profiles. In this new method, we first applied EMD to each frequency slice in the f‐x domain and obtained several intrinsic mode functions (IMFs). Then, an autoregressive model was applied to the sum of the first few IMFs, which contained the high-dip-angle components, to predict the useful ste...

[1]  W. Harry Mayne,et al.  Common Reflection Point Horizontal Data Stacking Techniques , 1962 .

[2]  S. M. Doherty,et al.  Seismic Data Analysis: Processing, Inversion, and Interpretation of Seismic Data , 2000 .

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

[4]  Jin‐Tian Gao,et al.  Distribution of Geomagnetic Field and Its Secular Variations Expressed by the Surface Spline Method in China (A Part) for 1900–1936 , 2006 .

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

[6]  Sven Treitel,et al.  The complex Wiener filter , 1974 .

[7]  Zhang Zhi Research on Application of Polynomial Fitting Technique in Highly noisy Seismic Data , 2006 .

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

[9]  M. Baan,et al.  Local singular value decomposition for signal enhancement of seismic data , 2007 .

[10]  Steve McLaughlin,et al.  Development of EMD-Based Denoising Methods Inspired by Wavelet Thresholding , 2009, IEEE Transactions on Signal Processing.

[11]  Zhi-peng Liu,et al.  Noncausal spatial prediction filtering based on an ARMA model , 2009 .

[12]  Sergey Fomel,et al.  Towards the Seislet Transform , 2006 .

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

[14]  L. Guo,et al.  High-order seislet transform and its application of random noise attenuation , 2009 .

[15]  T. Ulrych,et al.  Physical Wavelet Frame Denoising , 2003 .

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

[17]  P. E. Harris,et al.  Improving the performance of f-x prediction filtering at low signal-to-noise ratios , 1997 .

[18]  Guochang Liu,et al.  Stacking seismic data using local correlation , 2009 .

[19]  M. Kopecký Ensemble Empirical Mode Decomposition: Image Data Analysis with White-noise Reflection , 2010 .

[20]  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.

[21]  Zhenhua He,et al.  Seismic data denoising based on mixed time-frequency methods , 2011 .

[22]  R. Kumaresan,et al.  Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood , 1982, Proceedings of the IEEE.

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

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

[25]  Öz Yilmaz,et al.  Society of Exploration Geophysicists video course : seismic data processing , 1990 .

[26]  Peiwen Que,et al.  Noise suppression and flaw detection of ultrasonic signals via empirical mode decomposition , 2007 .

[27]  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).