摘要
作者曾从电法测井的数学模型出发,在假定侵入深度为已知的条件下,给出了反演地层电阻率的一个迭代方法。本文在文献[1]的基础上,将侵入深度也作为反演参数之一,通过适当的变量代换,运用微分方程反问题的数值求解方法,得到了一个可以同时反演地层电阻率与侵入深度的迭代方法。
In paper [1] , the authors have proposed a iterative method of determining the resistivities of the earth when the diameter of invaded zone is assumed to be known. In the present paper, the diameter of invaded zone is treated as unknown besides the resistivities of the earth, and by appropriate transformation of the variables, the problem of electrical logging is reduced to the problem of multi-parameter identification of a partial differential equation, thus a method of solving resitivities of the earth and diameter of invaded zone simutaneously is obtained. Numerical simulations show that this numerical algorithm is effective and robust.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1989年第4期433-440,共8页
Chinese Journal of Geophysics
基金
地震科学联合基金
关键词
地层电阻率
侵入深度
数值方法
Electrical log, Inverse problem of partial differential equation, Pulse spectrum technique, Inverse method.
