用半解析──半有限元法计算水平层状介质的电磁场  

The computation of electromagnetic field in horizontal layer medium with a partially analytical and partially numerical method

作　　者：宋维琪[1] 张庚骥[1] 李泌[2] 

机构地区：[1]石油大学勘探系,东营257062 [2]胜利石油管理局物探公司,东营257062

出　　处：《石油物探》1996年第4期106-110,118,共6页Geophysical Prospecting For Petroleum

摘　　要：水平层状介质的地电模型计算问题．人们大都用快速汉克尔变换方法计算。其计算精度不高。本又应用半解析──—半有限元方法较高精度地计算了水平层状介质中的电磁场问题。本方法又称为混合法，它是数值解和解析解组合的方法、本文应用此方法是在纵向上采用数值解而在横向上采用解析解，即在纵向用有限元，在横向用贝塞尔方程。在计算过程中，应用了格林函数法，同时在数值解基函数的选取上，本文采用了既使原函数连续又使函数的一阶导数连续的基函数──—幅度、斜度基函数、计算结果的精度较以往用快速汉克尔变换法计算的精度大为提高。Usually fast Hankel transform is used in the computation of geoelectric model of horizontalstratified mcdium. But its computation precision is not satisfactory. In this paper we ptesent ahybrld method for this purpose which adopts both numerical solution at vertical direction andana]ytical solution at horizontal dircction. To be more exact, finite clement technique is used atvcrtical dircction and Bcssel cquation is used at horizontal direction. Green function is also used inour computation. In addition, a basic function - range and incline function is uscd which enablesboth the original function and its first deritntivc to be continuous. The precision of the resultobtained with the suggested method is much higher than that obtaincd with fast Hankel transform.

关 键 词：混合法 基函数 格林函数 有限元 电磁场 介质 

分 类 号：O441.4[理学—电磁学] TM154.3[理学—物理]