湖南大学学报（自然科学版）2024，Vol.51Issue(2)：93-103,11.DOI:10.16339/j.cnki.hdxbzkb.2024229
基于DREAM_ZS算法的EIT电阻率反演方法研究
Research on EIT Conductivity Inversion Method Based on DREAM_ZS Algorithm
摘要
Abstract
Aiming at resistivity inversion and uncertainty quantification in electrical impedance tomography(EIT),an uncertainty analysis method is proposed based on Bayesian theory.Firstly,the Back Propagation(BP)neural network model is used as a substitute model for the forward problem,the results with high calculation accuracy are obtained,and the calculation efficiency is greatly improved.Then,the Differential Evolution Adaptive Metropolis(DREAM_ZS)sampling algorithm based on Bayesian theory is used for the resistivity reconstruction,and different excitation modes and prior distributions are compared and analyzed.The inversion results of the four-layer concentric circle model simulating the head show that the DREAM_ZS sampling algorithm can accurately identify the four parameters,and the inversion effect of the relative excitation mode is the best.The uncertainty of the four parameters is different.The scalp resistivity has the minimum uncertainty and the strongest sensitivity,and then the skull,the brain,and the cerebrospinal fluid show the maximum uncertainty.Furthermore,the circular model with high-dimensional parameters is simulated,and the relative excitation mode is adopted.DREAM_ZS sampling algorithm can accurately invert the parameters of the two-dimensional circular model.When the prior distribution of the parameters is normal distribution,compared with the uniform distribution,the uncertainty of the inversion result is less,and the recognition effect of the algorithm is better.关键词
电阻抗成像/参数反演/贝叶斯理论/BP神经网络/DREAM_ZS算法Key words
electrical impedance tomography/parameter inversion/Bayesian theory/BP neural network/DREAM_ZS algorithm分类
动力与电气工程引用本文复制引用
李颖,马重蕾,赵营鸽,王冠雄,郝虎鹏..基于DREAM_ZS算法的EIT电阻率反演方法研究[J].湖南大学学报（自然科学版）,2024,51(2):93-103,11.基金项目
河北省自然科学基金资助项目(E2015202050),Natural Science Foundation of Hebei Province(E2015202050) （E2015202050）
