四元数在多分量地震数据处理中的应用研究现状

2021年 60卷 第No. 1期
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Research status of the application of quaternion in multi-component seismic processing
1.中国科学院地球化学研究所,矿床地球化学国家重点实验室,贵州贵阳 550081;2.中国科学院大学,北京100049;3.中国地质大学(北京)地球物理与信息技术学院,北京 100083
1.Institute of Geochemistry,Chinese Academy of Sciences,Guiyang 550081,China;2.University of Chinese Academy of Sciences,Beijing 100049,China;3.School of Geophysics and Information Technology,China University of Geosciences,Beijing 100083,China

处理多分量地震数据时,如何保留其中所携带的矢量场信息并充分利用以更好地刻画地下介质,是目前地震勘探领域前沿研究的难点之一。在系统调研四元数理论和多分量地震数据处理技术的基础上,简要介绍了四元数及四元信号处理理论的发展情况,并着重阐述了目前基于四元数的多分量地震数据处理方法和技术。利用四元数的多分量地震数据处理技术仍然处在探索阶段,目前的研究和实际应用结果表明,将常规单分量地震数据处理技术与四元数理论相结合对多分量地震数据进行处理,可以更好地保护地震波场的矢量信息和分量中的弱信号,并且保持各分量之间的相对振幅不变。利用四元数理论拓展常规单分量地震数据处理技术,建立一套完整的基于四元数的多分量地震数据处理流程,用于有效挖掘和利用多分量地震数据中的矢量信息,是该领域的研究发展方向之一。

One of the major difficulties in seismic exploration is retaining the vector field information while making full use of multi-component seismic data to describe subsurface media.The development of multi-component seismic data processing based on quaternion were summarized in this study.First,the quaternion and the quaternion forms of multi-component seismic data were briefly introduced.Then,the application of quaternion in multi-component seismic vector data were discussed,and the findings showed that it continues to remain in the stage of exploration.By combining conventional single-component seismic data processing technology with quaternion,vector information and weak signals can be better preserved in the processing of multi-component data.The relative amplitude of each component is also retained.Future research should focus on establishing a complete vector seismic data processing technique based on extended scalar processing using quaternion.

多分量地震; 四元数; 矢量场; 矢量数据; 地震数据处理; 速度分析; 矢量重建; 去噪;
multi-component seismic;; quaternion;; vector field;; vector data;; seismic data processing;; velocity analysis;; vector reconstruction;; denoising;

国家自然科学基金项目(41874166,U183208,41504107)资助。

10.3969/j.issn.1000-1441.2021.01.007