摘要：用数值方法对颗粒超声层析成像进行模拟研究,对单个球形颗粒散射特征的数值解与解析解作对比,验证数值方法的准确性、可靠性,进而对管内放置有单个和3个球形颗粒的散射声场特性进行的数值模拟和分析,并由二值逻辑反投影图像重建算法对其进行空间分布的重建,分析重建图像的误差。结果表明:基于边界元方法的数值模拟和重建方法是可行和有效的。

关键词： 颗粒;边界元;散射;偶极子;图像重建

Abstract： The study of simulation for particle ultrasonic tomography was performed with numerical method. The accuracy and reliability of numerical methods were verified by comparing the numerical and analytical solution of scattering characteristics for a single spherical particle. Numerical simulations for single and three particles were carried out to obtain the acoustic scattering field in a pipe， after that the locations and sizes of particles were reconstructed by binary back projection reconstruction algorithm. The image reconstruction error was analyzed too. The results showed that the numerical simulation and reconstruction process based on boundary element method were feasible and effective.

Keywords： particle； boundary element； scattering； dipole； image recon struction