Journal of Shanghai Jiao Tong University ›› 2024, Vol. 58 ›› Issue (7): 995-1005.doi: 10.16183/j.cnki.jsjtu.2023.073

• Naval Architecture, Ocean and Civil Engineering • Previous Articles     Next Articles

Depth Distribution Characteristics of Particle Velocity Field Intensity in Shallow Sea

ZHANG Haigang1,2,3, XIE Jinhuai1,2,3, LIU Jiaqi4, GONG Lijia1,2,3(), LI Zhi1,2,3   

  1. 1. National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, Harbin 150001, China
    2. Key Laboratory of Marine Information Acquisition and Security of the Ministry of Industry and Information Technology, Harbin Engineering University, Harbin 150001, China
    3. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China
    4. Shanghai Marine Electronic Equipment Research Institute, Shanghai 201108, China
  • Received:2023-03-03 Revised:2023-05-06 Accepted:2023-06-16 Online:2024-07-28 Published:2024-07-26

Abstract:

The depth distribution characteristics of particle velocity field intensity have had a significant impact on underwater acoustic detection and estimation. In this paper, based on the approximate conditions of the incoherent normal modes sum transformation to angular integration, the angular integration form of incoherent normal modes of particle velocity was derived, which avoided the complex calculations of eigenvalues and eigenfunctions while revealing the physical mechanism behind the significant variations in particle velocity intensity with source depth and symmetrical depth. The numerical results demonstrate that the analytical expression of the angular integration of incoherent particle velocity can facilitate fast computation and effectively characterize the depth distribution characteristics of particle velocity intensity. Additionally, due to the superposition effect of the amplitude function of normal modes, there are notable differences in the depth distribution of vertical and horizontal particle velocity. Subsequently, focusing on the intensity difference of particle velocity, the study analyzed the effects of parameters such as horizontal distance, source frequency, sound speed profile, and water depth on the depth distribution characteristics of particle velocity field intensity. The findings provide a theoretical basis for passive target depth estimation based on vector fields.

Key words: particle velocity, depth distribution, source depth, normal mode superposition

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