GPR绕射波与反射波分离的变分模态分解方法研究  

Variational mode decomposition method of separating diffracted and reflected waves in GPR

作　　者：商耀达 刘财[1,2,3] 徐杨杨 鹿琪[1,2,3] SHANG Yaoda;LIU Cai;XU Yangyang;LU Qi(College of Geo-Exploration Science and Technology,Jilin University,Changchun 130026,China;Key Laboratory of Applied Geophysics,Ministry of Natural Resources,Changchun 130026,China;National Engineering Research Center of Offshore Oil and Gas Exploration,Changchun 130026,China)

机构地区：[1]吉林大学地球探测科学与技术学院,长春130026 [2]自然资源部应用地球物理重点实验室,长春130026 [3]海洋油气勘探国家工程研究中心,长春130026

出　　处：《世界地质》2024年第1期82-92,共11页World Geology

基　　金：国家自然科学基金项目(41874125)。

摘　　要：针对传统绕射波与反射波分离方法易造成有效信号丢失的问题,本文利用二维变分模态分解(2D-VMD)进行探地雷达(GPR)数据的绕射波与反射波分离。对二维GPR数据进行2D-VMD分解后,可得到包含从低频低波数到高频高波数的各阶模态分量及各阶模态分量的F-K谱。通过分析绕射波与反射波在频率-波数域的差异,分别重构绕射波与反射波对应的模态分量,得到分离后的绕射波与反射波数据。数值模拟与实测数据处理结果表明,相比于传统方法,该方法可以有效分离绕射波与反射波,并且不损失任何有效信号。Aiming at the challenge of effective signal loss in traditional methods of separated diffracted and reflected waves,a method using two-dimensional variational mode decomposition(2D-VMD)to separate diffracted and reflected waves of ground penetrating radar(GPR)data is proposed.After decomposing two-dimensional GPR data using 2D-VMD,intrinsic mode function(IMF)components and the F-K spectrum of each IMF can be obtained,which range from low-frequency and low-wave number to high-frequency and high-wave number.By analyzing the differences between the diffracted wave and the reflected wave in the frequency-wavenumber domain,the IMF components corresponding to diffracted and reflected waves are reconstructed separately,and the separated diffracted and reflected wave data are obtained.The processing results of numerical simulation and measured data show that,compared with traditional methods,this method can effectively separate diffracted waves and reflected waves without losing any effective signals.

关 键 词：探地雷达 二维变分模态分解 F-K谱 绕射波 反射波 波场分离 

分 类 号：P631.3[天文地球—地质矿产勘探]