中文摘要：

快速、准确地获取混合气体各组分浓度分布对于实现过程监测、确保系统的安全性、改善系统的效率等方面具有重要意义。基于声波在传播过程中的衰减，包括经典衰减和弛豫衰减，提m了一种二维空间中多元混合气体浓度分布的重建方法，建立了气体浓度分别与声波传播时间及声强衰减之间的耦合模型。在此基础上，提m了一种基于分裂Bregman迭代算法求解该问题。通过声波在几种常用混合气体传播衰减的实测数据，利用该方法实现了单路径混合体浓度的测量；在声波多路径测量方面，通过仿真实验对空间混合气体浓度分布进行了重建。实验测量及数值仿真结果表明，该方法能够较好地重建m气体浓度分布，进而为空间混合气体浓度检测提供了一种新的测量方法。

英文摘要：

Acquiring the concentration distribution information accurately and fast in a mixed gas system plays a cru- cial role in process monitoring, system security and improving the system efficiency. Based on the attenuations of the acoustic wave, including the classical and relaxation attenuations, this paper proposes the reconstruction method of the gas mixture concentration distribution in 2-diInension space with the acoustic tomography. Two coupling models are proposed to describe the relationships between the gas concentration and the acoustic wave propagation time, the acoustic strength attenuation, respectively. The split Bregman iteration algorithm is developed to solve the reconstruc- tion models. With the experiment tested data of tbe acoustic attenuation for three kinds of commonly used gas mix- tures, the proposed method was used to achieve the mixed gas concentration measurement in the single acoustic path. Numerical simulations were implemented to reconstruct the spatial mixed gas concentration distribution in the multi- ple acoustic paths. The experiment test and numerical simulation results indicate that the proposed method can accu- rately reconstruct the concentration distributions of the mixed gases, and provides an efficient new measurement meth- od for the concentration distribution measurement of the spatial mixed gases.