分层媒质中载流线圈电磁场计算的模式匹配算法  

Analysis on Electromagnetic Field of Current Loop in Inhomogenous Media by Numerical Mode-matching Method

作　　者：赵媛[1] 顿月芹[2] 袁建生[1] 

机构地区：[1]清华大学电机工程与应用电子技术系,北京100084 [2]山东轻工业学院电子信息与控制工程学院,济南250353

出　　处：《高电压技术》2011年第3期765-769,共5页High Voltage Engineering

摘　　要：载流线圈的电磁场计算在电气、通信、地球物理勘探中有着广泛的应用。在非均匀媒质中一般无法得到解析解,需借助数值算法。为此,实现了适用于分层非均匀媒质中直接求取电场与磁场强度的二维和准三维数值模式匹配法。由于该方法为半数值半解析方法,能实现数值上的降维,既保证了精度又提高了效率。与直接采用有限元法等数值计算方法相比,可明显提高计算效率和精度。以随钻电磁波测井为例验证了算法的正确性。The problem of electromagnetic field of current loop in inhomogenous media has a wide range of applications in communications,medical,geophysical exploration.As it is a mixed boundary value problem of partial differential equations,analytic solution usually can＇t be found.So numerical algorithms are applied.In this paper,2D and 2.5D Numerical Mode-matching Method（NMM） is used.NMM transforms this kind of problem into one-dimensional analytical solution and one-dimensional numerical solution to achieve dimensionality reduction.So it is more accuracy and efficiency compared with traditional numerical algorithms such as finite element method.The electromagnetic field of electromagnetic wave logging-while-drilling is solved as an example to verify the correctness of NMM.

关 键 词：非均匀介质 载流线圈 时谐电磁场 混合边值问题 数值模式匹配法 测井应用 

分 类 号：TM154.1[电气工程—电工理论与新技术]