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电阻率层析成像的基本原理是根据研究区域边界处的电压和电流值确定区域内部电阻率的分布,它同声波和电磁波层析成像的原理有着本质的不同。根据电阻率层析成像的数学原理,从积分变换、线性迭代反演和非线性迭代反演3种基本的反演途径系统地分析和归纳了当前几种主要的电阻率图像重建方法,并讨论了雅可比偏导数矩阵的求解。已开展的电阻率层析成像的野外观测试验,给出了实测的井间和地表两种观测系统的成像结果,分析了技术应用中的特点与限制。
The basic principle of resistivity tomography is to determine the distribution of internal resistivity in the region according to the voltage and current at the boundary of the study area. The principle of resistivity tomography is fundamentally different from that of tomography and electromagnetic wave tomography. According to the mathematics principle of resistivity tomography, this paper systematically analyzes and summarizes the main methods of resistivity image reconstruction from three kinds of basic inversion methods: integral transform, linear iterative inversion and nonlinear iterative inversion, and discusses Solve Jacobian Partial Derivative Matrices. The field experiment of resistivity tomography has been carried out. The imaging results of two observed systems of crosswell and surface are given, and the characteristics and limitations of the technique are analyzed.