结构电阻率断层图像等位线修正重建法

提出一种碳纤维混凝土（CFRC）结构电阻率断层图像等位线修正重建方法．该方法利用CFRC结构内正演电场各测量值的等值线位置信息,建立一种等效电导模型;依据该电导模型的物理关系计算各迭代步的相应区域等效电阻调整量,进而求解区域电阻率调整量,使得电阻率调整后CFRC结构各电极测量值的等值线终止点向相应电极修正,实现CFRC结构的ERT图像重建．该迭代过程等效于电极正演电位逼近电极测量电位的过程．该算法原理简单、易于实现,无需正则化技术和求解雅可比矩阵及黑塞矩阵信息,避开了Newton-Raphson类算法的病态性和计算量大的问题．研究结果表明：该算法能够获得满意的图像重建效果和重建速度．

Image reconstruction algorithm for CFRC structure with ERT

An image reconstruction algorithm,contour lines regulate(CLR),is presented by using electrical resistance tomography of carbon fiber reinforced concrete(CFRC)structure.In this reconstruction method,an equivalent model of conductance was set up with the placement information of voltage contour lines.The contour lines corresponding to the tested voltages of the ERT poles were generated in the electric field that was calculated at the forward ERT process in the CFRC structure.With the physics relation in the equivalent conductance model,each equivalent region resistivity adjustment of each iterative step was calculated.After this adjustment,the ends of voltage contour lines were regulated to the placements of the corresponding ERT poles,and the ERT image of CFRC structure was reconstructed.The iterative process was equated to the process of making the ends of voltage contour lines regulate to the place of corresponding ERT poles.The principle of the contour lines regulate algorithm is realized without the matrixes of Jacobi and Hessian,and regularization method is not necessary in this algorithm,avoiding the morbidity and a mass of computation in Newton-Raphson method.The simulation result shows that good and speedily reconstructed images are achieved by using this algorithm.