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基于变分PDE的地震资料空间自适应保边缘去噪方法 被引量:2
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作者 王德华 高静怀 张丽丽 《工程数学学报》 CSCD 北大核心 2019年第1期33-42,共10页
地震资料去噪是地震资料处理的一个基本环节,其信噪比的好坏会直接影响地震资料的可靠性及地质解释的精度.本文主要针对已有方法在去噪的同时不能很好地保持边缘信息这一问题,通过构造空间自适应边缘检测函数,建立了基于分数阶偏微分方... 地震资料去噪是地震资料处理的一个基本环节,其信噪比的好坏会直接影响地震资料的可靠性及地质解释的精度.本文主要针对已有方法在去噪的同时不能很好地保持边缘信息这一问题,通过构造空间自适应边缘检测函数,建立了基于分数阶偏微分方程的自适应变分去噪模型;然后,推导了求解新模型的分数阶Euler-Lagrange方程,并给出其离散格式;最后,将本文提出的方法用于合成地震数据及实际地震数据去噪,通过与传统去噪方法相比较,验证了新方法的有效性与实用性. 展开更多
关键词 地震资料去噪 边缘保持 变分正则化 偏微分方程
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Coherence estimation algorithm using Kendall's concordance measurement on seismic data 被引量:1
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作者 Yang Tao gao jing-huai +1 位作者 Zhang Bing Wang Da-Xing 《Applied Geophysics》 SCIE CSCD 2016年第3期529-538,581,共11页
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 betwee... 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. 展开更多
关键词 Concordance measurement coherence estimation nonlinear correlation information divergence
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