Prony方法求解水平双层土壤等值电阻率

Prony Method for Calculating Equal Resistivity of Two-layer Soil

求解水平双层土壤中的电场问题可利用经典镜象法 ,而经典镜象法需要无穷多个镜象来模拟这种电场问题 ,这给分析计算带来一定的困难。本文采用Prony方法 ,即采用任意函数的有限项指数级数Prony展开来定义镜象的大小和位置 ,从而替代经典镜象法中采用无限项Tailor级数展开方法。双层土壤中等值电阻率的计算结果表明 。

The classic image method has been used in the calculation of electric field with two layer soil. However, an infintie number of images must be employed in the calculation of the field with two layer soil,which results in may difficulties. The prony method introduced in this paper can determine the amplitude and the location of images by prony's algorithm that develops a function into an exponential series with finite terms rather than Tailor's development with infinite terms employed in the classic image method. The calculating results of equal soil resistivity with two layer soil shows that prony method can be used to calculate electric field of multi layer media.