牛顿拉夫逊算法在ERT反演问题中的应用研究

摘要

本文研究了电阻率反演成像(ERT)中的牛顿拉夫逊基础算法及改进问题.利用最小二乘法和Tikhonov正则化等方法将反演算法予以优化,获得了与实验样本结构吻合的碳纤维复合层的电阻率分布图像,推广了牛顿拉夫逊算法的数理反演模型.%The paper studies Newton-Raphson method in the inverse problem of electrical resistivity tomography (ERT).By Combining with least square method and Tikhonov regularization,the resistivity distribution to the carbon fiber composite layer is reconstructed which is in accordance with the structure of the experimental specimen.The mathematical inversion model based on the modified Newton-Raphson algorithm is generalized.