本文基于实际工程应用中的阵列感应测井仪 (AIT)的测量信息 ,利用变分玻昂迭代法 (VBIM) ,在非均匀背景介质中来重构和反演地层的电导率剖面 .该方法基于非线性积分方程 ,利用变分方法来建立反演方程 .在反演迭代过程中 ,非均匀背景介质中的格林函数无须更新 ,与变形玻昂迭代法 (DBIM)相比其计算复杂性大大降低 .文中仅利用沿井轴的AIT响应对地层电导率进行反演 ,其结果表明 ,反演结果与真实地层电导率分布吻合的较好 . In this paper, based on the measurement information of array induction logging tool (AIT) in practical engineering application, the variational Glassy iteration method (VBIM) is used to reconstruct and invert the conductivity profile of the formation in heterogeneous background medium. Based on the nonlinear integral equation, a variational method is used to establish the inversion equation. During the inversion iteration, the Green’s function in the non-uniform background medium does not need to be updated. Comparing with the deformed glassy iterative method (DBIM), the computational complexity is greatly The inversion of formation conductivity is performed by using only the AIT response along the well axis.The results show that the inversion results agree well with the real formation conductivity.