曲波变换在位场信号提取中的应用研究

为了重磁数据中有效信号的分离与提取,本文研究了最近十几年发展起来的一种方法:曲波变换方法(Curvelet transform method)。从曲波变换的基本原理入手,通过重力位场理论模型数据分析了曲波变换的多尺度分解重构能力,并且利用加噪理论模型数据分析了曲波变换的阈值去噪能力,此外,还使用曲波变换对南岭东部地区布格重力异常资料进行了有效信号提取。结果验证了该方法可同时适用于位场数据的分解和去噪处理研究,为重磁数据多尺度分析处理提供参考,也为实际资料数据提供一定的指示作用。

A study of the application of Curvelet transform to potential field signal extraction

In order to separate and extract the effective signals from gravity and magnetic data,the authors studied a method developed in the past ten years—Curvelet transform method.Starting with the basic principles of the Curvelet transform,the authors analyzed the multi-scale decomposition and reconstruction ability of the Curvelet transform through the theoretical model data of the gravity potential field,and analyzed the threshold denoising ability of the Curvelet transform by the noise-added theoretical model data.In addition,the Curvelet transform was used to extract effective signals from the Bouguer gravity anomaly data in the eastern part of Nanling.The results verify that the method can be applied to both the decomposition and denoising processing of potential field data.The results provide a reference for the multi-scale analysis and processing of gravity and magnetic data as well as a certain indication for actual data.