摘要
在麦克斯韦方程组和电磁理论的基础上,借助分离变量法和Sommerfeld-Fourier积分,通过将偶极源电磁场沿导线积分的方法,导出垂直线电源电磁场的解。给出几种不同地电条件下垂直线电源电磁场的理论表达式,包括均匀大地中深钻井内垂直电偶极、有限和无限长垂直线电源电磁场的理论表达式,以及无限深或有限深海水中垂直电偶极、线电源等情况下电磁场的理论表达式。这些表达式可以用于地面电磁法和海洋电磁法的理论计算,并通过某种特殊情况导出的结果证明了本文所推导的表达式的正确性。
Based on the Maxwell＇s equations and electromagnetic （EM） theory, according to the method of separating variable and the Sommerfeld-Fourier integral and by means of integrating the dipole field along the wire, the solution of electromagnetic field generated by vertical wire electric source was derived. Theoretical formulations of electromagnetic field of vertical wire source in some different geoelectrical conditions were obtained. These cases include dipole source in the deeper drill in uniform half space, the vertical wire current source whose length is finite or infinite in uniform half space and the vertical dipole or wire current source in sea water whose depth is finite or infinite. These formulations can be used in theoretical calculation for ground and marine EM method. The correctness of the proposed theoretical formulations is examined by the results derived in a particular case.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第1期130-135,共6页
Journal of Central South University:Science and Technology
基金
国家自然科学基金专项基金资助项目(40827002)
关键词
垂直线电源
电磁场
电磁理论
vertical wire source
electromagnetic field
electromagnetic theory
