随深度指数变化的视电阻率解

APPARENT RESISTIVITY SOLUTION CHANGED WITH DEPTH INDEX

从横向均匀介质满足的基本方程出发，得到视电阻率核函数的一阶非线性微分方程，通过方程求解，并利用滤波系数法容易得到电阻率随深度任意变化的视电阻率问题。当各层介质电性结构随深度呈指数变化时，还可得到各层之间核函数的递推关系，这对实际介质的正反演问题都有重要意义和应用价值。

On the basis of fundamental equation on the lateral uniform medium,it is obtained oneorder nonlinear differential equation of apparent resistivity kernel function. It is easily resolved the problem of the resistivity changed with the depth by equation solution and filtering coefficient method. When each layer medium electric structure changes with depthindex,it is also obtained the recurslon relation of kernel function between layers,and thishas important practical value and significance for forward and inversion problems of practical medium.