Multichannel sparse spike inversion

In this paper, we address the problem of sparse multichannel seismic deconvolution. We introduce Multichannel Sparse Spike Inversion (MSSI) as an iterative procedure, which deconvolves the seismic data and recovers the earth two-dimensional (2D) reflectivity image, while taking into consideration the relations between spatially-neighboring traces. We demonstrate the improved performance of the proposed algorithm and its robustness to noise, compared to competitive single-channel algorithm through simulations and real seismic data examples.

[1]  Israel Cohen,et al.  Performance measures for sparse spike inversion vs. basis pursuit inversion , 2014, 2014 IEEE 28th Convention of Electrical & Electronics Engineers in Israel (IEEEI).

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

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

[4]  Doron Benzvi,et al.  Blind deconvolution via maximum kurtosis adaptive filtering , 2013, 2016 IEEE International Conference on the Science of Electrical Engineering (ICSEE).

[5]  T. J. Ulrych,et al.  Application of homomorphic deconvolution to seismology , 1971 .

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

[7]  Mauricio D. Sacchi,et al.  Sparse multichannel blind deconvolution , 2014 .

[8]  R. Wiggins.  Minimum entropy deconvolution , 1978 .

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

[10]  Jean-Christophe Pesquet,et al.  Euclid in a Taxicab: Sparse Blind Deconvolution with Smoothed ${\ell _1}/{\ell _2}$ Regularization , 2014, IEEE Signal Processing Letters.

[11]  Mauricio D. Sacchi,et al.  A Fast and Automatic Sparse Deconvolution in the Presence of Outliers , 2012, IEEE Transactions on Geoscience and Remote Sensing.

[12]  T. M. Cannon,et al.  Blind deconvolution through digital signal processing , 1975, Proceedings of the IEEE.

[13]  H. L. Taylor,et al.  Deconvolution with the l 1 norm , 1979 .

[14]  Michael Elad,et al.  Sparse and Redundant Representations - From Theory to Applications in Signal and Image Processing , 2010 .

[15]  Jerry M. Mendel,et al.  Maximum likelihood detection and estimation of Bernoulli - Gaussian processes , 1982, IEEE Trans. Inf. Theory.

[16]  Jr. G. Forney,et al.  The viterbi algorithm , 1973 .

[17]  Caroline Chaux,et al.  A Primal-Dual Proximal Algorithm for Sparse Template-Based Adaptive Filtering: Application to Seismic Multiple Removal , 2014, IEEE Transactions on Signal Processing.

[18]  D. Donoho,et al.  Atomic Decomposition by Basis Pursuit , 2001 .

[19]  Bernard Chalmond,et al.  An iterative Gibbsian technique for reconstruction of m-ary images , 1989, Pattern Recognit..

[20]  A. J. Berkhout,et al.  Resolution in seismic trace inversion by parameter estimation , 1985 .

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

[22]  Israel Cohen,et al.  Multichannel Deconvolution of Seismic Signals Using Statistical MCMC Methods , 2010, IEEE Transactions on Signal Processing.

[23]  R. Tibshirani.  The Lasso Problem and Uniqueness , 2012, 1206.0313.

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

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

[26]  Israel Cohen,et al.  Multichannel blind seismic deconvolution using dynamic programming , 2008, Signal Process..

[27]  Israel Cohen,et al.  Multichannel Seismic Deconvolution Using Markov–Bernoulli Random-Field Modeling , 2009, IEEE Transactions on Geoscience and Remote Sensing.

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

[29]  Rui Zhang,et al.  Seismic sparse-layer reflectivity inversion using basis pursuit decomposition , 2011 .

[30]  C. Dossal.  SPARSE SPIKE DECONVOLUTION WITH MINIMUM SCALE , .