基于多阶解析信号的磁源变深度成像方法  

Magnetic Source Variable Depth Imaging Method Based on Different Order Analytic Signals

作　　者：王彦国[1,2] 田野 邓居智 葛坤朋[1,2] 陈晓 Wang Yanguo;Tian Ye;Deng Juzhi;Ge Kunpeng;Chen Xiao(State Key Laboratory of Nuclear Resources and Environment,East China University of Technology,Nanchang 330013,China;School of Geophysics and Measurement Control Technology,East China University of Technology,Nanchang 330013,China)

机构地区：[1]东华理工大学核资源与环境国家重点实验室,南昌330013 [2]东华理工大学地球物理与测控技术学院,南昌330013

出　　处：《吉林大学学报（地球科学版）》2024年第1期279-291,共13页Journal of Jilin University：Earth Science Edition

基　　金：国家自然科学基金项目(41504098,41862013);江西省自然科学基金项目(20212BAB203005)。

摘　　要：解析信号是磁法数据处理与解释的常用工具。本文从不同阶次解析信号及其垂向导数关系出发,引入深度缩放因子,构建了磁源变深度成像函数。该方法利用深度成像的极大值反映场源空间位置,利用反演深度及成像极大值估计场源构造指数。另外,结合不同深度缩放因子、不同阶次的成像结果提高方法的可靠性与适用性。模型试验及实例应用表明,相对于解析信号比值和局部波数的DEXP(depth from extreme points)方法,本文方法在使用更低阶次导数的情况下,能够获得更强的计算稳定性、更高的空间成像分辨率和更准确的场源参数反演结果。Analytic signal is a common tool for magnetic data processing and interpretation.Based on the relationship of different order analytic signals and their vertical derivative,this paper introduced a magnetic source variable depth imaging function with a depth scaled factor.The new method can be used for determining the position of filed source by using the maximum value of depth imaging,and estimating structural index on basis of the inverted depth and imaging maximum value.In addition,we can use the imaging results with different depth scaled factors and different orders to improve the reliability and usability of the new method.Model tests and applications indicate that the new method can abtain stronger computational stability,higher spatial imaging resolution and more accurate field source parameter inversion results using lower-order derivatives,compared with the DEXP(depth from extreme points)methods of analytic signal ratio and local wavenumber.

关 键 词：磁源 解析信号 深度成像 构造指数 

分 类 号：P631.2[天文地球—地质矿产勘探]