An efficient implementation of eigenstructure-based coherence algorithm using recursion strategies and the power method

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• 作者：Xiaokai Wang^a ; ^{nev.s@hotmail.com} ; Jinghuai Gao^a ; ^{jhgao@mail.xjtu.edu.cn} ; Wenchao Chen^a ; Yongzhong Song^b
• 关键词：Coherency attribute ; Covariance matrix ; Power method ; Recursion strategy
• 刊名：Journal of Applied Geophysics
• 出版年：2012
• 期刊代码：39_09269851
• 类别：ear
• 出版时间：July, 2012
• 卷：82
• 期：Complete
• 页码：11-18
• 文件大小：2148 K

摘要

The eigenstructure-based coherence algorithm is an appropriate method for imaging faults and stratigraphic features. It produces coherence images with high resolution and has good anti-noise ability. However, the large computational cost of constructing the covariance matrix and calculating the dominant eigenvalue restricts its application, and earlier researches have not discussed how to sustain the computational efficiency of this algorithm. The focus of this paper is the efficiency problem, and we propose the use of recursion strategies and the use of a specific power method to accelerate the calculation of the eigenstructure-based coherence algorithm. We use repetitions of the spatial correlations in the covariance matrices of neighbouring points to reduce the computational cost of constructing the covariance matrices. Then, we use the power method to calculate the dominant eigenvalue of the covariance matrix and choose the eigenvector associated with the dominant value at time t as the initial vector at time t + 1. The results on field data show that our implementations can greatly reduce the calculation time of the coherence attribute.