频谱激电三维有限元正演研究  

The Forward Study of the Spectral Induced Polarization Three-dimensional Finite Element

作　　者：张斯 杨庭伟 卢超波 姜洪亮 ZHANG Si;YANG Ting-wei;LU Chao-bo;JIAN Ghong-liang(Highway Tunnel Safety Warning Engineering Research Center of Guangxi Zhuang Autonomous Region,Nanning 530007;Guangxi Key Laboratory of Road Structure and Materials,Nanning 530007;Guangxi Communications Group Co.,LTD.,Nanning 530007;Research and Development Center of High Grade Highway Construction and Maintenance Technology,Materials and Equipment,Nanning 530007)

机构地区：[1]广西壮族自治区公路隧道安全预警工程研究中心,南宁530007 [2]广西道路结构与材料重点实验室,南宁530007 [3]广西交科集团有限公司,南宁530007 [4]高等级公路建设与养护技术、材料及装备交通运输行业研发中心,南宁530007

出　　处：《四川地质学报》2023年第2期358-362,共5页Acta Geologica Sichuan

摘　　要：在忽略电磁效应的情况下引入Cole-Cole激电模型,实现了与地下介质物性分块连续变化特点相切合的复电阻率三维有限元正演模拟的方法。从异常复电位的边值问题出发,推导其变分问题,采取六面体剖分的有限元法,结合偶极-偶极装置得到地表复电阻率值,进而算出复电阻率各分量。利用一维滤波算法验证算法有效性,并给出两种典型地电模型在不同频率下的计算结果。结果表明利用各分量可以多角度有效地刻画地下复杂介质结构特征。By introducing Cole-Cole Spectral Induced(IP)model in the absence of electromagnetic effect,the Three-dimensional finite element forward modeling method of complex resistivity is realized in accordance with the characteristics of discrete continuous changes of physical properties of underground media.Based on the boundary value problem of abnormal complex potential,the variational problem is derived,and the complex resistivity of the surface is obtained by hexahedral finite element method combined with dipole-dipole device,and then the components are calculated.One-dimensional filtering algorithm is used to verify the effectiveness of the algorithm,and the calculation results of two typical geoelectric models at different frequencies are given.The results show that the structure characteristics of underground complex media can be described effectively by using each component from multiple angles.

关 键 词：三维有限单元法 频谱激电 COLE-COLE模型 

分 类 号：P631.3[天文地球—地质矿产勘探]