线源直流电法有限元二维正演模拟  

Finite element 2D forward modeling of DC method with line source

作　　者：解海军[1] 李志强 栗升 XIE Haijun;LI Zhiqiang;LI Sheng(College of Geology and Environment,Xi’an University of Science and Technology,Xi’an 710054,China)

机构地区：[1]西安科技大学地质与环境学院,陕西西安710054

出　　处：《煤田地质与勘探》2019年第1期194-199,共6页Coal Geology & Exploration

基　　金：国家自然科学基金项目(41472234)~~

摘　　要：直流电法勘探中,三维点源正演计算复杂、计算量大,虽进行傅里叶变换可转化为二维点源,但相比二维线源计算还是复杂。基于Matlab编程,采用第一类边界条件,给出了线源直流电法二维有限元数值解法,通过与均匀半空间理论值比较,验证了计算结果的正确性;再建立高阻、低阻地电模型,并采用单边供电和双边供电分别对其响应进行比较和分析,得到了相应的视电阻率断面图。结果表明单边供电可以准确反映异常体在纵向上的位置,而双边供电更能准确反应异常体的横向位置和形态。论文研究为生产实际提供了理论依据。In direct current prospecting,the forward calculation of 3D point source is complex and the calculation quantity is large,and using the Fourier transform can converted into 2D point source,but it is more complicated than that of 2D line source.This paper is based on Matlab programming,using the first boundary condition,and gives numerical solution of two-dimensional finite element of DC method with line source,through comparing with theoretical value of homogeneous half-space,the correctness of calculation results was verified.Then the high and low resistivity geoelectric models were built,the response of single side power supply and double side power supply were compared and analyzed respectively,and the corresponding apparent resistivity profile was obtained.The results show that unilateral power supply can accurately reflect the vertical position of the abnormal body,while bilateral power supply can more accurately reflect the horizontal position and the shape of the abnormal body,providing theoretical basis for actual production.

关 键 词：线源直流电法 第一类边界条件 有限元 二维正演 单(双)边供电 

分 类 号：P631[天文地球—地质矿产勘探]