小波多尺度分析在地磁异常分解中的研究  

Research on Wavelet Multiscale Analysis in GeomagneticAnomaly Decomposition

作　　者：刘长青 赵东明[1] 谢心和 吕明昊 LIU Changqing;ZHAO Dongming;XIE Xinhe;LYU Minghao(School of Geospatial Information,University of Information Engineering,Zhengzhou 450000,China)

机构地区：[1]信息工程大学地理空间信息学院,河南郑州450000

出　　处：《测绘与空间地理信息》2023年第6期44-48,共5页Geomatics & Spatial Information Technology

基　　金：国家自然科学基金项目(42174008)资助。

摘　　要：针对规则的组合球体模型,将小波多尺度分析方法引入到地磁数据的处理中,以便将勘探所需要的地磁异常信息从错综复杂的数据中分离出来。本文的实验中采用3种不同的小波函数进行多尺度分析,将分析结果的逼近值和区域异常值的标准方差作为确定最优分解小波和最优分解小波层数的误差参数,并使用不同小波函数进行小波多尺度分析后的结果图像作为参考,对实验结果进行分析,以寻求小波多尺度分析在地磁异常分解中的最优模式。根据实验分析,使用Sym8小波函数进行四层分解时可以达到最优效果,得到规则组合球体在不同深度下的埋藏情况,探讨了将小波多尺度分析方法应用到地磁勘探中的可行性。For the regular composite sphere model,the wavelet multi-scale analysis method is introduced into the processing of geomagnetic data,so as to separate the geomagnetic anomaly information needed for exploration from the complex data.In the experiment of this paper,three different wavelet functions are used for multi-scale analysis.The approximate value of the analysis results and the standard deviation of the regional outliers are used as the error parameters to determine the optimal decomposition wavelet and the optimal decomposition wavelet layers.The results of wavelet multi-scale analysis using different wavelet functions are used as a reference to analyze the experimental results,in order to find the optimal mode of wavelet multi-scale analysis in the decomposition of geomagnetic anomalies.According to the experimental analysis,the best result can be achieved by using the Sym8 wavelet function to decompose the four layers,and the burial conditions of the regular combination sphere at different depths can be obtained.The feasibility of applying the wavelet multi-scale analysis method to the geomagnetic exploration is discussed.

关 键 词：小波多尺度分析 小波分解层数 地磁场 磁异常分离 

分 类 号：P209[天文地球—测绘科学与技术]