Instantaneous Frequency Extraction Using the EMD-Based Wavelet Ridge to Reveal Geological Features

As one of the important seismic attributes, instantaneous frequency is widely used to reveal geological features. Compared to the normally instantaneous frequency extraction using Hilbert transform (HT), instantaneous frequency extraction using the wavelet ridge is demonstrated to have a more robust characteristic and anti-noise feature. Due to instantaneous frequency extraction using the wavelet ridge is suitable for the gradual single-frequency signal, to get a meaningful instantaneous attributes Empirical Mode Decomposition (EMD) is applied to the seismic signal first to decompose each seismic trace into the IMFs which are single-frequency signal. Application of the simulated signals and the seismic trace show that instantaneous frequency extraction using the EMD-based wavelet ridge is more accurate than HT does. Application of the EMD-based wavelet ridge method in a gas field located in PengLai, Central Sichuan(China), shows its effectiveness. Instantaneous frequency extraction using the EMD-based wavelet ridge method can be used as a strong tool to detect the instantaneous spectral properties of a reservoir to reveal hydrocarbon related strong amplitude anomaly and reservoir thickness variation and lateral changes information.

[1]  K. Marfurt,et al.  Seismic attributes — A historical perspective , 2005 .

[2]  Richard G. Baraniuk,et al.  Empirical Mode Decomposition Based Frequency Attributes , 1999 .

[3]  Mirko van der Baan,et al.  Empirical mode decomposition for seismic time-frequency analysis , 2013 .

[4]  D. Gabor,et al.  Theory of communication. Part 1: The analysis of information , 1946 .

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

[6]  Richard G. Baraniuk,et al.  Empirical mode decomposition based time-frequency attributes , 1999 .

[7]  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).

[8]  M. Taner,et al.  Complex seismic trace analysis , 1979 .

[9]  Ren-fei Tian,et al.  EMD and Teager–Kaiser energy applied to hydrocarbon detection in a carbonate reservoir , 2014 .

[10]  Marie Farge,et al.  Wavelet transform and their application to turbulence , 1992 .

[11]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. II. A/lgorithms and applications , 1992, Proc. IEEE.

[12]  Jun-Wei Huang,et al.  Empirical Mode Decomposition Based Instantaneous Spectral Analysis and its Applications to Heterogeneous Petrophysical Model Construction , 2009 .

[13]  Wei Hua Shen Mechanical Fault Diagnosis Based on Data Mining Technology , 2011 .

[14]  M. Farge Wavelet Transforms and their Applications to Turbulence , 1992 .

[15]  Satish Sinha,et al.  Instantaneous spectral attributes using scales in continuous-wavelet transform , 2009 .

[16]  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.

[17]  Kurt J. Marfurt,et al.  Instantaneous spectral attributes to detect channels , 2007 .

[18]  Shouxiang Wang,et al.  Ensemble Empirical Mode Decomposition and GA-BP Neural Network , 2013 .

[19]  H. H. Hardy,et al.  Frequency estimates of seismic traces , 2003 .

[20]  Leonardo Macelloni,et al.  Optimal filtering high-resolution seismic reflection data using a weighted-mode empirical mode decomposition operator , 2011 .

[21]  Sergey Fomel Seismic Data Decomposition Into Spectral Components Using Regularized Nonstationary Autoregression , 2012 .

[22]  Hongliu Zeng,et al.  Geologic significance of anomalous instantaneous frequency , 2010 .

[23]  Jinghuai Gao,et al.  Seismic Attenuation Estimation From Instantaneous Frequency , 2010, IEEE Geoscience and Remote Sensing Letters.

[24]  Jinghuai Gao,et al.  Application of Hilbert–Huang transform based instantaneous frequency to seismic reflection data , 2012 .

[25]  Mirko van der Baan,et al.  Empirical Mode Decomposition and Robust Seismic Attribute Analysis , 2011 .