Joint Time-frequency analysis and its Applications

Marcílio Castro de Matos -

This course shows how basic knowledge of joint time-frequency (JTF) analysis theory associated with pseudo computer programming can help geoscientists to take full advantage of their real world applications. Several JTF exploration geophysics applications are detailed, like spectral decomposition, data compression, filtering, etc. Starting from Fourier theory review, advanced time-frequency techniques are introduced by showing practical applications and by hands on introductory computer programming.



Reading real world data

  • SEG-Y and LAS

Signal processing and Discrete Fourier Transform review

  • Computing spectra, the effect of data windowing;
  • Applications: Conventional bandpass vs. wavelet-based filtering filtering, footprint suppression on time slices, seismic flattening, spectral balancing and spectral decomposition.

Complex signal analysis

  • Hilbert transform review;
  • Instantaneous seismic attribute applications;
  • Phase unwrapping and relative geologic time;
  • Hands on coding examples.

Sliding window Fourier transform and Gabor Transform

Advanced JTF techniques

  • Wavelet Transform, Synchrosqueezing transform, S-transform, Curvelets;
  • Empirical mode decomposition, Hilbert-Huang transform;
  • Least square spectral analysis, Local attributes;
  • Matching Pursuit, regularized nonstationary autoregression, etc.
  • Hands on coding examples.

JTF exploration geophysics applications

  • Data compression;
  • Q compensation;
  • Data conditioning;
  • Texture analysis, facies classification, pre-stack attributes, etc.

Conclusions, discussions and suggestions.