基于Kendall一致性度量的地震数据相干估计算法（英文）

Coherence estimation algorithm using Kendall's concordance measurement on seismic data

相干体方法常被用于刻画地震数据的不连续性和非均质性,但相干体方法若使用线性相关系数度量两个随机变量(即两个地震道)之间的关系,由于随机变量的关系是非线性的,用线性相关系数度量描述非线性关系,根据数学定义,存在一定的局限性。为了能更准确度量地震道波形之间的相似性),本文提出一种基于Kendall一致性度量算法,克服线性相关系数度量存在一定的局限性。本文的重点是研究线性相关系数度量和一致性度量对波形相似性变化的敏感性,我们设计了两个数值模型测试这两种度量对波形相似性变化的敏感性,发现Kendall一致性度量对波形的变化比线性相关系数度量更敏感,可用于精细刻画波形的变化,并结合信息散度度量可更精细刻画地层非均质性方法,我们将其应用处理实际的地震资料数据,表明该方法不但有效并具有较高的分辨率。

The coherence method is always used to describe the discontinuity and heterogeneity of seismic data. In traditional coherence methods, a linear correlation coefficient is always used to measure the relationship between two random variables （i.e., between two seismic traces）. However, mathematically speaking, a linear correlation coefficient cannot be applied to describe nonlinear relationships between variables. In order to overcome this limitation of liner correlation coefficient. We proposed an improved concordance measurement algorithm based on Kendall＇s tau. That mainly concern the sensitivity of the liner correlation coefficient and concordance measurements on the waveform. Using two designed numerical models tests sensitivity of waveform similarity affected by these two factors. The analysis of both the numerical model results and real seismic data processing suggest that the proposed method, combining information divergence measurement, can not only precisely characterize the variations of waveform and the heterogeneity of an underground geological body, but also does so with high resolution. In addition, we verified its effectiveness by the actual application of real seismic data from the north of China.