JCC  Vol.3 No.3 , March 2015
Blind Deconvolution of Seismic Data Based on the Spearman’s Rho
Abstract: In this paper, we propose a novel seismic blind deconvolution approach based on the Spearman’s rho in the case of band-limited seismic data with a low dominant frequency and short data records. The Spearman’s rho is a measure of the dependence between two continuous random variables without the influence of the marginal distributions, by which a new criterion for blind deconvolution is constructed. The optimization program for new criterion of blind deconvolution is performed by applying Neidell’s wavelet model to the inverse filter. The noise-free and noisy synthetic data, onshore seismic trace in the Ordos Basin, and offshore stacked section in the Bohai Bay Basin examples show good results of the method.
Cite this paper: Wang, R. , Xu, F. and Zhou, X. (2015) Blind Deconvolution of Seismic Data Based on the Spearman’s Rho. Journal of Computer and Communications, 3, 20-26. doi: 10.4236/jcc.2015.33004.

[1]   Robinson, E.A. (1967) Predictive Decomposition of Time Series with Application to Seismic Exploration. Geophysics, 32, 418-484.

[2]   Wiggins, R.A. (1978) Minimum Entroy Deconvolution. Geoexploration, 16, 21-35.

[3]   Claerbourt, J.F. (1977) Parsimonious Deconvolution. Stanford Exploration Project, 13, 1-9.

[4]   Gray, W. (1979) Variable Norm Deconvolution. Ph.D. Thesis, Stanford Un-iv.

[5]   Walden, A.T. (1985) Non-Gaussian Reflectivity, Entory, and Deconvolution. Geophysics, 50, 2862-2888.

[6]   Donoho, D. (1981) On Minimum Entropy Deconvolution. Academic Press Inc.

[7]   Larue, A., Mars, J.I. and Jutten, C. (2006) Frequency-Domain Blind Deconvolution Based on Mutual Information Rate. IEEE Transactions on Signal Processing, 54, 1771-1781.

[8]   Baan, M.V. and Pham, D.T. (2008) Robust Wavelet Estimation and Blind Deconvolution of Noisy Surface Seismics. Geophysics, 73, V37-V46.

[9]   Nelsen, R.B. (2006) An Introduction to Copulas: Lecture Notes in Statistics. Volume 139, Springer, New York.

[10]   Neidell, N.S. (1991) Could the Processed Seismic Wavelet Be Simpler than We Think? Geophysics, 56, 681-690.