基于振速测量的HELS方法声场重建研究

Helmholtz Equation Least Squares Method for Reconstructing Acoustic Field with the Measurement of Particle Velocity

本文在Helmholtz方程最小二乘法(HELS)的理论基础上,提出水下基于振速测量的HELS方法声场重建模型,并对理想点源声场进行了重建结果分析,仿真结果显示在不同的测量距离上,尤其对于振速重建,基于法向振速测量的声场重建精度高于基于声压测量的声场重建精度;在发射不同频率声波时,基于法向振速测量的声场重建精度变化不大,说明该模型对于频率适应性强;为了分析该模型在实际应用中的性能,加入随机噪声分析,证明了振速模型抑制噪声的能力明显优于声压模型。仿真研究表明了该振速模型的正确性、可行性和重要性。

The Helmholtz equation least squares method（HELS） is usually based on measurement of the sound pressure.This paper describes an investigation of an alternative model that involves measuring the normal component of the acoustic particle velocity.The purpose of the paper is to compare the performance of particle velocity-based and pressure-based HELS method.The simulation results show that this model is quite applicable and gives better results than that based on measurement of the sound pressure in defferent measuring distances,especially for the velocity reconstructions.The results vary little with different sound frequencies,illustrating the good adaptive to the low-mid frequencies.In order to bring this model into practice,the random noise must be intruduced.The velocity model behaves obviously better in the analysis of random noise as well.The simulation results indicate that the new model is correct and feasible.Therefore it would be significant to examine the potential of velocity-based HELS method.