Computer Science ›› 2017, Vol. 44 ›› Issue (5): 33-36.doi: 10.11896/j.issn.1002-137X.2017.05.006

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Blind Estimation of Seismic Wavelet on Unit Hypersphere with Mean Shift

XIAO Yun-shi, ZHAO Yan-qing and CHENG Cheng   

  • Online:2018-11-13 Published:2018-11-13

Abstract: Seismic data can be described by convolution of seismic wavelet and reflectivity sequence in seismic exploration.Seismic deconvolution is essentially a blind process due to lack of priori knowledge.Wavelet estimation by BICA has multiple solutions and the solutions conform to unit norm constraint.In this paper,a wavelet space model was established on unit hypersphere and its riemannian metric and gradient were studied,then a Mean Shift clustering algorithm on unit hypersphere was presented and an average wavelet can be estimated by the clustering result.Results of synthetic data and real data show that,compared with the BICA method,estimated wavelet has higher fidelity and similarity to the designed wavelet,and real data have higher resolution after deconvolution.

Key words: Blind deconvolution,Seismic wavelet,Unit hypersphere,Riemannian gradient,Mean Shift clustering

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