Seismic data analysis using local time-frequency decomposition
Version of Record online: 22 MAR 2012
© 2012 European Association of Geoscientists & Engineers
Volume 61, Issue 3, pages 516–525, May 2013
How to Cite
Liu, Y. and Fomel, S. (2013), Seismic data analysis using local time-frequency decomposition. Geophysical Prospecting, 61: 516–525. doi: 10.1111/j.1365-2478.2012.01062.x
- Issue online: 11 APR 2013
- Version of Record online: 22 MAR 2012
- Received August 2010, revision accepted November 2011
- Ground roll
Many natural phenomena, including geologic events and geophysical data, are fundamentally nonstationary - exhibiting statistical variation that changes in space and time. Time-frequency characterization is useful for analysing such data, seismic traces in particular.
We present a novel time-frequency decomposition, which aims at depicting the nonstationary character of seismic data. The proposed decomposition uses a Fourier basis to match the target signal using regularized least-squares inversion. The decomposition is invertible, which makes it suitable for analysing nonstationary data. The proposed method can provide more flexible time-frequency representation than the classical S transform. Results of applying the method to both synthetic and field data examples demonstrate that the local time-frequency decomposition can characterize nonstationary variation of seismic data and be used in practical applications, such as seismic ground-roll noise attenuation and multicomponent data registration.