基于阻尼LSQR算法层析成像技术在铸件缺陷检测中的应用
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摘要
在普通超声波检测的基础上引入层析成像技术,形成新的超声波层析成像探伤系统,可以有效克服普通超声波检测定位困难的缺点,能准确检测铸体中缺陷的大小、形状和位置。本文重点对超声波层析成像探伤系统的工作原理和阻尼LSQR算法(DLSQR算法)进行研究,经过数据采集、正演模拟、建立走时方程、反演求解等过程,实现了基于DLSQR算法的图像重建方法。实验表明,DLSQR算法具有良好的稳定性、较小的存储容量和计算量,适合病态问题求解。
Inspection of casting flaw with ultrasonic technology is a useful method. However, it is difficult to inspect casting flaw with common ultrasonic method for bad permeance in the castings caused by coarse crystal particle, incompact and asymmetric method metallographic structure. Furthermore, cylindrical crystal particles of the castings will result in the diffraction of ultrasonic wave, which make it difficult to orientation for inspection. The shortcoming of common ultrasonic inspection could be overcome by the introduction of tomography technology to common ultrasonic inspecting system. The application of damping LSQR algorithm to ultrasonic tomography inspecting system is researched. A new image reconstruction algorithm base on DLSQR algorithm is accomplished , which is composed of data acquisition, forward imitation, travel-time equation, and inversion calculation. The result show DLSQR algorithm has a good stability, need less memory capacity and calculation amount. The DLSQR algorithm is fit for the solution of ill problem.
Inspection of casting flaw with ultrasonic technology is a useful method. However, it is difficult to inspect casting flaw with common ultrasonic method for bad permeance in the castings caused by coarse crystal particle, incompact and asymmetric method metallographic structure. Furthermore, cylindrical crystal particles of the castings will result in the diffraction of ultrasonic wave, which make it difficult to orientation for inspection. The shortcoming of common ultrasonic inspection could be overcome by the introduction of tomography technology to common ultrasonic inspecting system. The application of damping LSQR algorithm to ultrasonic tomography inspecting system is researched. A new image reconstruction algorithm base on DLSQR algorithm is accomplished , which is composed of data acquisition, forward imitation, travel-time equation, and inversion calculation. The result show DLSQR algorithm has a good stability, need less memory capacity and calculation amount. The DLSQR algorithm is fit for the solution of ill problem.
引文
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4金延龙,杨明芝,赵卫明等.利用区域台网记录的直达、反射和折射波反演宁夏及邻区地壳P波三维速度结构[J].地震学报,1999,21(4):394～402Jin Yanlong,Yang Mingzhi,Zhao Weiming,et al.Applying the area network record of directive wave,reflective wave and refractive wave to inversion calculation of the earth crust P wave speed structure of Nixa Province and adjacent area[J].Earthquake Transation,1999,21(4):394～402
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2徐丽,刚铁,张明波等.铸件缺陷无损检测方法的研究现状[J].铸造,2002,51(9):535～540Xu Li,Gang Tie,Zhang Mingbo,et al.Review of non-destructive test methods for castings defect[J].Foundry,2002,51(9):535～549
3赵谊,高尔根,赵振东等.三维场地波动传播的快速射线追踪法[J].地震工程与工程振动,2001,21(2):24～29Zhao Yi,Gao Ergen,Zhao Zhendong,et al.A fast ray tracing method based on Senell’s law and Fermat’s principle for3-D site[J].Earthquake Engineering and Engineering Vibration,2001,21(2):24～29
4金延龙,杨明芝,赵卫明等.利用区域台网记录的直达、反射和折射波反演宁夏及邻区地壳P波三维速度结构[J].地震学报,1999,21(4):394～402Jin Yanlong,Yang Mingzhi,Zhao Weiming,et al.Applying the area network record of directive wave,reflective wave and refractive wave to inversion calculation of the earth crust P wave speed structure of Nixa Province and adjacent area[J].Earthquake Transation,1999,21(4):394～402
5曹俊兴,聂在平.线性方程组迭代解的随机模型测试研究[J].物探化探计算技术,1998,20(2):120～124Cao Junxing,Nie Zaiping.Study on the iterate solution of linear system of equation with random model test[J].Computing Techniques for Geophysical and Geochemical Exploration,1998,20(2):120～124
6陈国金,曹辉,吴永栓.最短路径层析成像技术在井间地震中的应用[J].石油物探,2004,43(4):327～330Chen Guojin,CaoHui,Wu Yongshuan.Shortest path tomography in crosswell seismic[J].Geophysical Prospection for Petroleum,2004,43(4):327～330
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