曲波变换在位场信号提取中的应用研究

doi:10.11720/wtyht.2021.1405

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摘要

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。

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	张杨
	王君恒
	曹炼鹏
	冯裕华
	朱江皇
	付强

关键词 ：位场数据, 曲波变换, 有效信号提取, 多尺度分解, 阈值去噪

Abstract：

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.

Key words： potential field data Curvelet transform effective signal extraction multi-scale decomposition threshold denoising

收稿日期: 2020-08-14 修回日期: 2020-11-19 出版日期: 2021-02-20

ZTFLH:

P631

基金资助:自然科学基金项目“面向海域磁测日变改正的地磁场变化试验与分析预测研究”(41574132)

通讯作者: 王君恒

作者简介: 张杨 (1995-),男,硕士研究生,主要从事地球物理方法技术研究工作。Email:405350764@qq.com

引用本文:

张杨, 王君恒, 曹炼鹏, 冯裕华, 朱江皇, 付强. 曲波变换在位场信号提取中的应用研究[J]. 物探与化探, 2021, 45(1): 84-94.
ZHANG Yang, WANG Jun-Heng, CAO Lian-Peng, FENG Yu-Hua, ZHU Jiang-Huang, FU Qiang. A study of the application of Curvelet transform to potential field signal extraction. Geophysical and Geochemical Exploration, 2021, 45(1): 84-94.

链接本文:

https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2021.1405 或 https://www.wutanyuhuatan.com/CN/Y2021/V45/I1/84

Table 1 512×512数据的Curvelet系数结构

Fig.1 直立六面体组合重力异常

Fig.2 Curvelet变换分解后的系数重构重力异常

Fig.3 Curvelet变换分解后的重构重力异常

Table 2 直立六面体场源参数统计

Fig.4 加噪数据曲波变换重构

Fig.5 加噪数据Curvelet变换阈值去噪
(加10%幅值随机噪声,sigma=0.8)

Fig.6 加噪数据Curvelet变换阈值去噪
(加5%幅值随机噪声,sigma=0.45)

Fig.7 加噪数据Curvelet变换阈值去噪
(加1%幅值随机噪声,sigma=0.15)

Fig.8 南岭东部EGM2008布格重力异常

Fig.9 研究区地形

Fig.10 Curvelet变换重构重力异常

Fig.11 南岭东部地质简图

Fig.12 南岭东部地质简图(a)与重力异常(b)对比

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