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同时反演地层电阻率与侵入深度的数值方法
引用本文:刘家琦,唐永福.同时反演地层电阻率与侵入深度的数值方法[J].地球物理学报,1989,32(4):433-440.
作者姓名:刘家琦  唐永福
作者单位:1. 哈尔滨工业大学; 2. 大庆石油管理局测井公司
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。

关 键 词:电法测井  微分方程反问题  脉冲谱技术  反演方法  
收稿时间:1988-05-06

AN ITERATIVE ALGORITHM FOR SOLVING THE RESISTIVITIES OF THE EARTH AND THE DIAMETER OF THE INVADED ZONE SIMUTANEOUSLY
LIU JIA-QI KUANG ZHENG.AN ITERATIVE ALGORITHM FOR SOLVING THE RESISTIVITIES OF THE EARTH AND THE DIAMETER OF THE INVADED ZONE SIMUTANEOUSLY[J].Chinese Journal of Geophysics,1989,32(4):433-440.
Authors:LIU JIA-QI KUANG ZHENG
Institution:1. Harbin Institute of Technology; 2. Daqing Well Logging Corporation
Abstract: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.
Keywords:Electrical log  Inverse problem of partial differential equation  Pulse spectrum technique  Inverse method    
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