摘要
对于直立多层介质地面点源电场问题,通过电阻率转换函数递推公式,求得电位积分式中的待定系数;利用同一层待定系数间的互换关系来防止核函数超界;借助高斯-拉盖尔公式,进行电位的数值积分。算例表明,计算精度与镜象法或线性方程组法相比,误差小于1％。
For the problem of the ground point-source electric field of a verticalmulti-layer medium, the undefined coefficients in the integral expressions forelectrical potential can be obtained by the recurrence formulas of theresistivity transformation functions, and by using the reciprocity of thecoefficients in the same layer, the kernel functions can be protected againstoverrunning. The numerical integration of electrical potential can be carriedout by means of Gauss-Laguerre formula. The calculative examples showthat the calcu-lative error is less than 1% as compared with the mirrormethod or linear equations method.
关键词
电法
勘探
多层介质
正问题
核函数
electrical survey
forward problem
numerical integration
kernel function/transformation function
recurrence formula
Gauss-Laguerre formula
