Multichannel blind seismic deconvolution using dynamic programming

In this paper, we present an algorithm for multichannel blind deconvolution of seismic signals, which exploits lateral continuity of earth layers by dynamic programming approach. We assume that reflectors in consecutive channels, related to distinct layers, form continuous paths across channels. We introduce a quality measure for evaluating the quality of a continuous path, and iteratively apply dynamic programming to find the best continuous paths. The improved performance of the proposed algorithm and its robustness to noise, compared to a competitive algorithm, are demonstrated through simulations and real seismic data examples.

[1]  J. Black,et al.  Seismic modeling and inversion , 1984, Proceedings of the IEEE.

[2]  Michael Buckley,et al.  Regularised shortest-path extraction , 1997, Pattern Recognit. Lett..

[3]  G. Lazear.  Mixed-phase wavelet estimation using fourth-order cumulants , 1993 .

[4]  T. Kailath,et al.  A least-squares approach to blind channel identification , 1995, IEEE Trans. Signal Process..

[5]  Israel Cohen,et al.  Dynamic Programming For Multichannel Blind Seismic Deconvolution , 2007 .

[6]  Kjetil F. Kaaresen,et al.  Multichannel blind deconvolution of seismic signals , 1998 .

[7]  Kjetil F. Kaaresen,et al.  Deconvolution of sparse spike trains by iterated window maximization , 1997, IEEE Trans. Signal Process..

[8]  Jerry M. Mendel,et al.  Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications , 1991, Proc. IEEE.

[9]  P. Laguna,et al.  Signal Processing , 2002, Yearbook of Medical Informatics.

[10]  Yves Goussard,et al.  Multichannel seismic deconvolution , 1993, IEEE Trans. Geosci. Remote. Sens..

[11]  Brian D. Jeffs.  Sparse inverse solution methods for signal and image processing applications , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[12]  Hui Luo,et al.  The application of blind channel identification techniques to prestack seismic deconvolution , 1998 .

[13]  Jerry M. Mendel,et al.  A novel approach to seismic signal processing and modeling , 1981 .

[14]  Ramesh C. Jain,et al.  Using Dynamic Programming for Solving Variational Problems in Vision , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  A. Berkhout,et al.  The seismic method in the search for oil and gas: Current techniques and future developments , 1986, Proceedings of the IEEE.

[16]  Eric Moulines,et al.  Blind identification of multipath channels: a parametric subspace approach , 2001, IEEE Trans. Signal Process..

[17]  L. Tong,et al.  Multichannel blind identification: from subspace to maximum likelihood methods , 1998, Proc. IEEE.

[18]  Kjetil F. Kaaresen.  Evaluation and applications of the iterated window maximization method for sparse deconvolution , 1998, IEEE Trans. Signal Process..