J4 ›› 2011, Vol. 41 ›› Issue (5): 1596-1604.

Previous Articles     Next Articles

Finite Element Method for Solving Anomalous Complex Potential of 2.5-D Complex Resistivity

LI Yong1, LIN Pin-rong1, LI Tong-lin2, WANG You-xue3, SHANG Xiao1   

  1. 1.Institute of Geophysical and Geochemical Exploration, Chinese Academy of Geological Science, Langfang065000,Hebei,China;
    2.College of GeoExploration Science and Technology, Jilin University, Changchun130026, China;
    3.Department of Resources and Environment Engineering, Guilin University of Technology, Guilin541004|Guangxi,China
  • Received:2010-11-22 Online:2011-09-26 Published:2011-09-26

PDF (PC)

449

Abstract:

The computation technique of the finite-element forward modeling for 2.5-dimensional complex resistivity based on anomalous complex potential is described. The variational equations are established for 2D structure with 3D alternating two-point sources. The finite element method is used to solve the equations. The computing area is divided into rectangular elements, each of which is subdivided into four triangles by two diagonal lines. The complex potential and the complex conductivity of rocks within each triangular lattice are described by a linear interpolation to create a linear equation system from the variational equations. For a specific array, the linear equations are solved to calculate the anomalous complex potential at each node and the apparent complex resistivity on the surface. The feasibility of the algorithm is verified through the theoretical model calculation, and the computation results of different survey configurations are demonstrated.

Key words: finite element method, complex resistivity, Cole-Cole model, anomalous complex potential

CLC Number: 

  • P631.3
[1] Zhang Bo, Cao Hongkai, Sun Jianmeng, Zhang Pengyun, Yan Weichao. Numerical Simulation of Response Characteristics of Array Induction Logging in Heavy Oil Thermal Recovery Formation [J]. Journal of Jilin University(Earth Science Edition), 2018, 48(4): 1277-1286.
[2] Zeng Zhaofa, Huo Zhijun, Li Wenben, Li Jing, Zhao Xueyu, He Rongqin. 3D Vector Finite-Element Airborne Electromagnetic Modelling in an Arbitrary Anisotropic Medium [J]. Journal of Jilin University(Earth Science Edition), 2018, 48(2): 433-444.
[3] Chen Shuai, Li Tonglin, Zhang Rongzhe. 1-D Occam Inversion of Transient Electromagnetic in Consideration of Induced Polarization Effect [J]. Journal of Jilin University(Earth Science Edition), 2017, 47(4): 1278-1285.
[4] Luo Tianya, Xiong Bin, Cai Hongzhu, Chen Xin, Liu Yunlong, Lan Huaikang, Li Zuqiang, Liang Zhuo. Magnetotelluric Responses of Two-Dimensional Complex Conductivity Structures [J]. Journal of Jilin University(Earth Science Edition), 2017, 47(1): 215-223.
[5] Gao Jianshen, Sun Jianmeng, Jiang Yanjiao, Cui Likai. Effect of Electrode Array Structures in Laterolog and a New Array Measurement Method [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(6): 1874-1883.
[6] Yan Jiabin, Huang Xiangyu. Vector Finite Element Method [J]. Journal of Jilin University(Earth Science Edition), 2016, 46(5): 1538-1549.
[7] Jiang Fuyu, Xie Leilei, Chang Wenkai, Huang Yan, Zhang Zuohong. Forward Calculation of Three Dimensional Gravity Vector Using Finite Element Method [J]. Journal of Jilin University(Earth Science Edition), 2015, 45(4): 1217-1226.
[8] Liu Changjun, Zhao Hua, Zhang Shunfu, Ding Liuqian. Finite Element Analysis on Unsteady Seepage Field of Groundwater Reservoir of Tailan River During the Pumping Water of the Radiation Well [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(3): 922-930.
[9] Dai Liming,Li Sanzhong,Lou Da, Suo Yanhui,Liu Xin,Yu Shan,Zhou Shuhui. Numerical Modeling of Present-Day Structural Stress of Major Active Blocks in the Asian Continent [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(2): 469-483.
[10] Tang Jingtian, Xue Shuai. Influence of Truncated Boundary in FEM Numerical Simulation of MT [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(1): 267-274.
[11] Nian Tingkai，Zhang Keli，Liu Hongshuai，Xu Haiyang. Stability and Failure Mechanism of ThreeDimensional Slope Using Strength Reduction Method [J]. Journal of Jilin University(Earth Science Edition), 2013, 43(1): 178-185.
[12] WANG Xin-min, CUI Hua-hui, LIU Xiang-an. Non-Standard Galerkin Finite Element Method for Solving Unsteady Advection-Dominant Groundwater Transport Model [J]. J4, 2011, 41(3): 812-818.
[13] LIU Hong-shuai, NIAN Ting-kai, WAN Shao-shi. Effect of Boundary Constraint Condition on the Stability Analysis of 3D Slope [J]. J4, 2010, 40(3): 638-644.
[14] ZHAO Guang-mao, LI Tong-lin, WANG Da-yong, LI Jian-ping. Secondary FieldBased Two-Dimensional Topographic Numerical Simulation in Magnetotellurics by Finite Element Method [J]. J4, 2008, 38(6): 1055-1059.
[15] DAI Wen-ting, CHEN Xing, ZHANG Hong-qiang. Experiment and Numerical Simulation of Dynamic Behavior for Cohesive Soils [J]. J4, 2008, 38(5): 831-0836.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Earth Science Edition), All Rights Reserved.
Tel: +86-431-88502374；13756165364　E-mail: xuebao1956@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd