Advanced signal processing tools for dispersive waves

Two field examples are presented, showing the advantages of using multicomponent sensors for surface-wave studies. Multicomponent sensors allow the use of specific signal-processing tools such as the multicomponent singular value decomposition filter and the multicomponent polarization filter, which are both very efficient at separating surface waves from the other waves that comprise a seismic field record. Firstly, some signal-processing tools for studying surface waves are described. The various filters range from classical to advanced techniques. For processing single-component data, the filters are the f–k filter and filters based on singular value decomposition and on spectral matrix decomposition. For processing multicomponent data, the filters are the 4C-singular value decomposition filter and the classical or high-order polarization filter. Secondly, processing sequences that can be applied to the field data are described and the single-component processing sequence and the multicomponent processing sequence are compared. Two field examples are presented. The first data set is a land seismic data recording on 2C sensors. The second data set was obtained from a marine acquisition with OBS (4 components). The results obtained illustrate the advantages of using multicomponent filters. The efficiency of the 4C-SVD filter and the high-order statistic polarization filter is demonstrated.

[1]  Jerome Mars,et al.  Filter formulation and wavefield separation of cross-well seismic data , 1999 .

[2]  M. Manin,et al.  Ellipticity filter for ground-roll removal , 1996 .

[3]  Jean-Louis Lacoume,et al.  Separation of Seismic Waves , 1987 .

[4]  Jocelyn Chanussot,et al.  Efficient Oblique Polarization Filter With Cross Scalogram , 2002 .

[5]  Jean-Louis Lacoume,et al.  Modified singular value decomposition by means of independent component analysis , 2004, Signal Process..

[6]  W. Kuperman,et al.  Computational Ocean Acoustics , 1994 .

[7]  Jerome Mars,et al.  Dispersive seismic wave tools in geophysics , 1998 .

[8]  J. Cardoso,et al.  Blind beamforming for non-gaussian signals , 1993 .

[9]  L. Amundsen,et al.  Estimation of sea-floor wave velocities and density from pressure and particle velocity by AVO analysis , 1995 .

[10]  Öz Yilmaz,et al.  Seismic data processing , 1987 .

[11]  J. Achenbach.  Wave propagation in elastic solids , 1962 .

[12]  J. P. Fail,et al.  LES FILTRES EN EVENTAIL , 1963 .

[13]  Nicolas Le Bihan,et al.  Blind wave separation using vector-sensors , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[14]  Nicolas Le Bihan,et al.  Three-mode data set analysis using higher order subspace method: application to sonar and seismo-acoustic signal processing , 2004, Signal Process..

[15]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[16]  Tad J. Ulrych,et al.  Application of singular value decomposition to vertical seismic profiling , 1988 .

[17]  Jean-Luc Mari,et al.  Signal Processing for Geologists and Geophysicists , 1999 .

[18]  Jerome Mars,et al.  Wave separation by an oblique polarization filter , 1999 .

[19]  T. Landers,et al.  Reflection seismology , 1979, Nature.

[20]  Gemma Musacchio,et al.  Polarization filter with singular value decomposition , 2001 .

[21]  S. Spitz.  Seismic trace interpolation in the F-X domain , 1991 .

[22]  J. Mari,et al.  4C-Sensor Orientation Using Multicomponent-SVD Method Applied on Shallow Water Data , 2001 .

[23]  Gene H. Golub,et al.  Matrix computations , 1983 .

[24]  C.R.I. Clayton,et al.  THE USE OF SURFACE WAVES IN THE DETERMINATION OF GROUND STIFFNESS PROFILES. , 1996 .

[25]  C. Pekeris.  THEORY OF PROPAGATION OF EXPLOSIVE SOUND IN SHALLOW WATER , 1948 .

[26]  A. Laub,et al.  The singular value decomposition: Its computation and some applications , 1980 .

[27]  Barbara Nicolas,et al.  Geoacoustical parameters estimation with impulsive and boat-noise sources , 2003 .