基于积分方程的阵列信号的反演方法
INVERSION OF THE MEASURING DATA OF ARRAY INDUCTION IMAGER TOOL BASED ON THE INTEGRAL EQUATION
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摘要: 本文将收敛速度快的变形玻恩迭代法(DBIM)结合数值模式匹配法(NMM)用于实际工程中的阵列感应成象仪(AIT)的测量信号的反演和剖面成象。在反演迭代过程中,利用NMM解的z向解析性质,避免了双重数值积分,提高了计算效率,同时也提高了反演质量。文中利用不完备的测量数据对AIT进行了反演,表明该方法非常适合实际工程应用。Abstract: This paper deals with the profile reconstruction of the Array induction Imager Tool(AIT) measurement using the Distorted Born Iterative Method(DBIM) and an efficient Numerical Mode-Matching(NMM) method for the conductivity distribution in a two-dimensional axisymmetric medium.In each iteration of DBIM,the NMM method is appplied to solve a forward solver.Meanwhile,the analytic expression of the integration in the nonlinear integral equation has been derived and then the inversion of the efficiency and accuracy is improved dramatically.Several examples have shown that this method is practicable for the interpetation of electrical logging data.
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