文中以层析成像技术为基础研究爆炸冲击波场重建,通过对冲击波传输过程中速度场的反演重建冲击波超压场。由于激励源和探测器数目不足给重建过程带来困难,于是文中提出了一种基于先验信息的EM反演算法。通过建立数学模型对此算法进行仿真实验,给出了仿真计算结果并对其进行分析,结果表明文中的反演算法比传统的方法精度高,收敛快。说明该算法在解算这种不完全数据的重建问题中有一定的有效性和实用性。

In this paper, the techniques of blast wave field reconstruction based on tomography were studied. Overpressure field was reconstructed by inverting the velocity field in the process of shock wave transmission. Since the reconstruction process is difficult due to insufficient excitation sources and detectors, an EM algorithm was proposed based on priori information. Appropriate models were constructed using the proposed methods, and a simulation example was put forward at last. The result reveals that compared with the traditional methods, this method has higher precision and converges faster. It also shows the validity and practicality of the developed algorithm in solving the problem of incomplete data reconstruction.