INVERSION OF THE MEASURING DATA OF ARRAY INDUCTION IMAGER TOOL BASED ON THE INTEGRAL EQUATION
基于积分方程的阵列信号的反演方法

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 applied 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 interpretation of electrical logging data.