Developments of parabolic equation method in the period of 2000–2016

Parabolic equation(PE) method is an efficient tool for modelling underwater sound propagation, particularly for problems involving range dependence. Since the PE method was first introduced into the field of underwater acoustics,it has been about 40 years, during which contributions to extending its capability has been continuously made. The most recent review paper surveyed the contributions made before 1999. In the period of 2000–2016, the development of PE method basically focuses on seismo-acoustic problems, three-dimensional problems, and realistic applications. In this paper, a review covering the contribution from 2000 to 2016 is given, and what should be done in future work is also discussed.     

单阶简正波宽带干涉特性与孤立子内波定位

为了分析孤立子内波(SIW)对声场干涉特性的影响以及由此监测SIW,我们采用抛物方程模型,分析了孤立子内波影响下简正波耦合带来的单阶简正波宽带脉冲序列的干涉特性;仿真了宽带脉冲信号穿过SIW时,单阶简正波接收脉冲序列随内波位置的变化情况,分析了它们的时空干涉特性和机理;基于耦合简正波理论,推导得到了内波位置和干涉条纹斜率之间的关系。仿真表明,这一关系式可以精确估计SIW距离,估计精度和稳定性比以往方法大大提升。此外,还根据单阶简正波干涉图样在频率上的周期性,推导了另一种估计SIW距离的方法,该方法具有更好的实时性。SIW-简正波干涉关系可用于改善声场定位,对于海洋学、海洋工程和海洋军事等方面具有重要价值。此外,该关系还可以拓展到其他的局部特性变化的探测,如金属探伤和海底地形突变定位等。      

三维浅海环境下孤立子内波对低频声能流的传播影响

针对三维浅海环境下孤立子内波对低频声信号传播特性的影响问题,基于Oxyz坐标系下的三维浅海低频声场有限元计算方法,以声能流为研究对象,仿真分析了内波存在对低频声信号传播特性的影响规律。研究结果表明:受内波影响,在xOz平面,声能流垂直分量的传播偏转角度呈现周期性的起伏规律;随着声源深度的增加,内波对声能流偏转角度的影响深度也随之增加。对xOy平面,当声源位于温跃层以上时,随着接收深度的增加,各深度平面上声能流水平分量的偏转角越大;随着声源深度的增加,内波对各深度平面上声能流的影响逐渐减弱。