The Electric Field Generated by Time-harmonic Vertical Electric Dipole in the Two-layer Model

4th International Conference on Advances in Energy Resources and Environment Engineering

能源学;生态环境科学

Zhang, Chunhua^1 ; Li, Song^2 ; Li, Bing^1 ; Li, Jing^1 ; Zhao, Wenbin^2 ; Lu, Xincheng^2

P. O. Box 5111, Beijing

100094, China^1

Unit 91977, 100161, China^2

关键词: Earthquake precursors;    Electromagnetic information;    Extremely low frequency electric fields;    General expression;    Geophysical exploration;    Magnetic vector potentials;    Partial differential operators;    Vertical electric dipoles;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/237/6/062002/pdf
DOI  :  10.1088/1755-1315/237/6/062002

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

The extremely low frequency electric fields generated by time-harmonic electric dipole can be used for telecommunication, geophysical exploration and electromagnetic information of earthquake precursor. There are two main purposes for the analytical solution of the electric fields with the electric dipole. One is that the field source can be described by the dipole, the other is that arbitrary field source can be obtained by the superposing of the electric dipole. By means of the image method, the general expression of electric fields generated by vertical time-harmonic electric dipole embedded in the second layer of stratified conducting half-space is derived. Firstly, with the boundary conditions, the magnetic vector potential is solved. Secondly, the expression of the electric field is derived from Maxwell's equation. Finally, using the partial differential operators, analytical solution can be obtained.