单一层面高频电偶极子场的近似计算

AN APPROXIMATE CALCULATION OF THE HIGH FREQUENCY FIELD OF ELECTRIC DIPOLE FOR A SINGLE PLANE BOUNDARY

本文对一个倾斜平面界面的高频电磁波场近似计算问题做了解答。这是钻井高频电磁波勘探方法中的基本问题。文中写出了问题的严格解,并用鞍点法对φ=0的条件,得出其近似计算式和数值结果.这个结果具有便于计算和明确的物理意义。根据计算结果,指出了特别在高导介质中,界面附近的干涉异常,必须予以充分重视。

Until now, the solution of high frequency electromagnetic field for oblique plane boundary is still a basic problem in electromagnetic method borehole exploration. This prolem is of more universal significance than that discussed in the problem of the reflected field for vertical electric dipole. In this paper, a rigorous solution of this problem is obtained and an approximate expression and its digital calculation in φ=0 axe given using the saddle-point method of integration. The expression is convenient for calculating and also has a distinct physical meaning. The result shows that great importance should be attached to the interference anomaly in more conductive medium near the boundary.