轴对称二维任意非均匀介质中偏轴点源激励的位场数值解

THE NUMERICAL SOLUTION OF THE POTENTIAL EXCITED BY AN OFFAXIAL POINT SOURCE IN AXISYMMETRIC 2-D INHOMOGENEOUS MEDIA

对具有任意多平面分层，且每一平面分层中又具有任意多径向柱面分层的复杂非均匀介质中偏轴点源激励的位场分布进行了高效数值分析．对于这种三维非均匀位场分布，应用数值本征模展开描述其径向的基模和高阶模，用集合反射矩阵和集合透射矩阵匹配各平面界面的边界条件，各平面分层中的位场则用递推算法获得．偏轴点源位场的求解，为电法测井中高分辨薄五层探测提供了理论分析基础．

In this paper an efficient numerical analysis for the potential excited by anoffaxial point source in inhomogeneous media with arbitrary number of planar bedsand cylindrical layers in each bed has been made. The numerical eigenmode expansionmethod was used to describe the radial distribution of various modes of the field resultedfrom the point source, and the general reflection and the general transmission matrix wereintroduced to match the boundary conditions on the planar interfaces. The potential ineach bed can be obtained by a recursive way. The solutions of the potential excitedby offaxial point source provide a theoretical basis for research of the electricallogging method with high resolution.