Dr. Tom Smith presenting on Machine Learning at the 3D Seismic Symposium on March 6th in Denver
What is the "holy grail" of Machine Learning in seismic interpretation? by Dr. Tom Smith, GSH Luncheon 2018
Using Attributes to Interpret the Environment of Deposition - A Video Course. Taught by Kurt Marfurt, Rocky Roden, and ChingWen Chen
Dr. Kurt Marfurt and Dr. Tom Smith featured in the July edition of AOGR on Machine Learning and Multi-Attribute Analysis
Rocky Roden and Ching Wen Chen in May edition of First Break - Interpretation of DHI Characteristics using Machine Learning

Hilbert

Attribute Description:  The Hilbert trace is the trace generated by running the Hilbert transform on the original, or complex, trace which generates real and imaginary portions of the original trace.  The imaginary portion is often called the Hilbert trace and is a 90-degree rotation of the real trace.

Interpretation Use:  Since this attribute is a 90-degree rotation of the real trace, it can be used in the same way as the real trace is used.  The big difference is that the Peak no longer represents the correlation of a zero-phase wavelet to the reflection coefficient series.  This is often used to represent the interval layers more than boundaries.

Recommended Colorbar:

This attribute will have the same spectrum as the real trace, so the same colorbars used for the amplitude traces can be used for the Hilbert attribute traces.

 Example colorbar and amplitude spectrum

Example colorbar and amplitude spectrum

Example: 

 Vertical display of Hilbert Traces

Vertical display of Hilbert Traces

 Time slice of Hilbert Traces

Time slice of Hilbert Traces

 Frequency Spectrum

Frequency Spectrum

Computation: 

This is the imaginary g(t) portion of the complex, or analytical, trace which is defined as the real part of the trace f(t) and the imaginary part of the complex trace g(t):

Hilbert - 3.png

This will be a 90-degree rotation of the real portion of the complex trace.

References:

  • Chopra, S. and K. J. Marfurt, 2007, Seismic attributes for prospect identification and reservoir characterization:  Society of Exploration Geophysicists, Geophysical Developments #11.
  • Taner, M. T., 2001, Seismic attributes:  Canadian Society of Exploration Geophysicists Recorder, 26, no 7.