摘要
本文从电法测井的数学模型出发,给出了一种反演地层参数的单调同伦法,把非线性方程组的求解转化成常微分方程初值问题的数值求解,从而给出一种大范围收敛的反演方法.最后的数值结果表明,本文给出的算法是十分有效的.
On the basis of the mathematical model of electrical log, we have proposed a monotonous homotopy method for determining the parameters of the earth. By this method, the problem of nonlinear system of equations is reduced to an initial value problem of ordinary differential equations. It is a widely convergent method. Numerical simulations show that this numerical algorithm is effective.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1991年第4期517-522,共6页
Chinese Journal of Geophysics
基金
国家自然科学基金
关键词
电法测井
反演
地层电阻率
同伦法
Electrical log, Invers problem of partial differential equation, Homotopy method.
