The filtering characteristics of HHT and its application in acoustic log waveform signal processing

Array acoustic logging plays an important role in formation evaluation. Its data is a non-linear and non-stationary signal and array acoustic logging signals have time-varying spectrum characteristics. Traditional filtering methods are inadequate. We introduce a Hilbert-Huang transform (HHT) which makes full preservation of the non-linear and non-stationary characteristics and has great advantages in the acoustic signal filtering. Using the empirical mode decomposition (EMD) method, the acoustic log waveforms can be decomposed into a finite and often small number of intrinsic mode functions (IMF). The results of applying HHT to real array acoustic logging signal filtering and de-noising are presented to illustrate the efficiency and power of this new method.

[1]  Nie Chun-yan Time-Frequency Analysis of Array Acoustic Logging Waveform Signal Based on Hilbert-Huang Transform , 2008 .

[2]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[3]  Nie Chun-yan Time-frequency analysis of array acoustic logging signal based on Choi-Williams energy distribution , 2007 .

[4]  Nie Chun-yan Array Acoustic Logging Signal Analysis Based on the Local Correlation Energy , 2008 .

[5]  Nie Chun-yan The Reassignment Method Based on Time-Frequency Analysis and Its Application in the Array Acoustic Logging Data Processing , 2007 .

[6]  D. C. Champeney A handbook of Fourier theorems , 1987 .

[7]  R. Huang,et al.  Preliminary study on the possible new modification of isotactic polypropylene crystallized under high pressure , 1996 .

[8]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[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]  Torsten Schlurmann,et al.  Spectral analysis of nonlinear water waves based on the Hilbert-Huang Transformation , 2002 .

[11]  N. Huang,et al.  The Mechanism for Frequency Downshift in Nonlinear Wave Evolution , 1996 .

[12]  Khaled H. Hamed,et al.  Time-frequency analysis , 2003 .

[13]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[14]  Liu Tong Study on acoustic diversity attenuation properties of rock and foreground of applying in engineering , 2005 .

[15]  Wang Zhu-wen,et al.  Application of Hilbert-Huang transform in extracting dynamic properties of array acoustic signals , 2008 .

[16]  Ding Yang Application of Hilbert-Huang transform in extracting reservoir properties of array acoustic signals , 2009 .

[17]  Yuan Jing-hai Using time-frequency analysis to identify oil and water layers in array acoustic logging , 2008 .

[18]  Wei Wang,et al.  Boundary-processing-technique in EMD method and Hilbert transform , 2001 .

[19]  Maurizio Varanini,et al.  Empirical mode decomposition to approach the problem of detecting sources from a reduced number of mixtures , 2003, Proceedings of the 25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (IEEE Cat. No.03CH37439).

[20]  Gabriel Rilling,et al.  Empirical mode decomposition as a filter bank , 2004, IEEE Signal Processing Letters.

[21]  Xiong Xue,et al.  Application and Discussion of Empirical Mode Decomposition Method and Hilbert Spectral Analysis Method , 2002 .

[22]  Chin-Hsiung Loh,et al.  Application of the Empirical Mode Decomposition-Hilbert Spectrum Method to Identify Near-Fault Ground-Motion Characteristics and Structural Responses , 2004 .

[23]  Norden E. Huang,et al.  On Instantaneous Frequency , 2009, Adv. Data Sci. Adapt. Anal..

[24]  Zhu Liufang,et al.  The new method of processing the slowness of P and S-wave from waveforms of array sonic logging , 2004 .

[25]  Li Wei,et al.  Processing DSI Logging Data with STC Method , 1999 .

[26]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..