Premium
Seismic data analysis using local time‐frequency decomposition
Author(s) -
Liu Yang,
Fomel Sergey
Publication year - 2013
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.2012.01062.x
Subject(s) - time–frequency analysis , matrix decomposition , synthetic data , attenuation , inversion (geology) , geology , decomposition , seismic inversion , data processing , computer science , regional geology , fourier transform , geophysics , algorithm , seismology , metamorphic petrology , mathematics , physics , optics , telecommunications , ecology , radar , eigenvalues and eigenvectors , mathematical analysis , quantum mechanics , azimuth , biology , tectonics , operating system
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.