摘要
多电极成像测井是一种新的电阻率测井技术 ,这一测井技术的电极系中包含有多个测量电极 ,可提供较多的测量信息 ,从而有助于用较高的分辨率确定地层电阻率参数 .本文对这个问题建立了数学模型 ,且运用非线性优化等数学方法对多电极成像测井反演问题提出了数值求解方法 .并利用一些数值结果证实了这些算法的有效性 .
The multi- electrode well- loggings problem is formulated into an inverse problem for a boundary value problem of quasi- harmonic equation with equi- valued boundary conditions.By least- squares fitting of the resistivity,this problem turns into an optimization problem which is solved by quasi- Newtonian technique.By use of adjoin- state method to calculate the gradient of the objective function,the computing time is reduced efficiently.Some numerical results show that this algorithm is accurate and effective.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2000年第3期317-325,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金!(1 9971 0 2 2 )
关键词
多电极成像测井
电阻率测井
反演问题
数学模型
Inverse Problem
Optimization Algorithm
Imagery Well- logging
Adjoint State Method
