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作 者:李静和[1] 孟淑君 LI Jing-he;MENG Shu-jun(College of Earth Sciences,Guilin University of Technology,Guilin 541004,China;Control Science and Engineering,Shandong University,Jinan 250061,China)
机构地区:[1]桂林理工大学地球科学学院,广西桂林541004 [2]山东大学控制科学与工程学院,济南250061
出 处:《吉林大学学报(工学版)》2021年第3期965-976,共12页Journal of Jilin University:Engineering and Technology Edition
基 金:广西高等学校千名中青年骨干教师培育计划项目(桂教师范[2019]81号);广西隐伏金属矿产勘查重点实验室项目(桂科隐19-050-19-06);广西有色金属隐伏矿床勘查及材料开发协同创新中心项目(GXYSXTZX2017-Ⅱ-5);国家自然科学基金项目(41604097)。
摘 要:为了满足对混凝土构件质量缺陷进行高效定量检测的需求,本文提出了基于双稳定型共轭梯度-快速傅里叶变换的积分方程和多场源、多频率对比源反演的声波探测快速成像算法。引入快速傅里叶变换加快积分方程格林函数的计算效率,运用双稳定型共轭梯度方法,提高了迭代求解大型矩阵方程组的稳定性;反演过程引入无需计算雅可比矩阵的对比源反演算法,可适用于特殊观测系统的数据量,应用快速傅里叶变换加快了对比源反演迭代过程中涉及的矩阵相乘计算。数值模拟和实际算例表明:本文算法可获得较好的重建结果,提高了质量缺陷的定位效率,验证了算法的可行性及有效性,为采用声波探测快速提取混凝土质量缺陷属性的应用奠定了理论基础。In order to meet the requirement of efficient and quantitative concrete quality defect detection,a fast imaging algorithm based on the integral equation method with Biconjugate Gradient Stabilized-Fast Fourier Transform(BCGS-FFT)and the Multiple-source and Multiple-frequency Contrast Source Inversion(MMCSI)is proposed.Firstly,the FFT is introduced into the forward process to accelerate the calculation efficiency of the integral equation green’s function,and the BCGS is used to improve the stability of iterative solution in the large matrix equations.Secondly,the CSI algorithm without calculating Jacobian matrix is introduced in the inversion process,which can be applied to the data volume of special observation system.The FFT is applied to speed up the matrix multiplication calculation involved in the iterative process of inversion.Finally,numerical simulation and practical examples show that the algorithm can obtain better reconstruction results and improve the efficiency of location in concrete quality defects detection.Furthermore,the results verify the feasibility and effectiveness of the algorithm,which lays a theoretical foundation for the application of acoustic detection to quickly extract the properties of concrete quality defects.
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