Modeling of Wake-Induced Electromagnetic Fields of Undersea Vehicles and Analysis of Internal Wave Characteristics in Stratified Ocean
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摘要: 针对水下航行器隐蔽性带来的威胁, 满足非声探测技术发展需求, 文中聚焦密度分层海洋环境中航行器尾流的电磁效应作用机制。现有尾流电磁场研究多基于均匀流体假设, 忽略分层现象导致的内波效应。为此, 文中创新性建立分层流体中水下航行器尾流速度场数学模型, 将尾流分解为表面波与内波分量的线性叠加, 并推导尾流感应电磁场表达式。通过仿真分析航行器在潜深10~50 m工况下感应磁场的空间分布、衰减规律以及各分量贡献占比。结果表明, 分层环境下, 表面波感应磁场近场峰值可达0.15 nT, 但随传播距离衰减迅速; 内波感应磁场近场峰值为0.006 nT, 且波形相干稳定、衰减缓慢, 在远场区域成为总感应磁场主导分量; 同时, 随着航行器潜深增加, 内波贡献比例显著增大, 潜深50 m时近场贡献比例可达84.9%。研究表明内波作为远场探测的关键物理量, 可为发展对水下航行器远距离非声探测技术提供理论依据。Abstract: To counter the threat posed by undersea vehicle stealth and meet the demand for the development of non-acoustic detection technology, this study focused on the action mechanism of electromagnetic effects induced by vehicle wakes in density-stratified ocean environments. Existing studies on wake electromagnetic fields are mostly based on the uniform fluid assumption, neglecting the effects of internal waves induced by stratification. To this end, this paper innovatively built a mathematical model for the velocity field of undersea vehicle wakes in stratified fluid, decomposing the wake into a linear superposition of surface wave and internal wave components, with the expression for wake-induced electromagnetic fields derived. By conducting numerical simulations, the spatial distribution, attenuation patterns, and component contributions of the induced magnetic field were analyzed for undersea vehicles at depths ranging from 10 m to 50 m. The results indicate that under stratified environments, the surface wave-induced magnetic field reaches the peak value of 0.15 nT in the near field but decays rapidly with distance. In contrast, the internal wave-induced magnetic field only has a peak value of 0.006 nT in the near field, and it features stable waveform coherence and slow decay, becoming dominant in the far field. Furthermore, as the submergence depth of the vehicle increases, the contribution of the internal wave grows significantly, reaching 84.9% in the near field at a depth of 50 m. This study reveals that as the key physical quantity for far-field detection, internal waves provide a theoretical basis for the development of long-range non-acoustic detection technologies for undersea vehicles.
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表 1 仿真参数设置
Table 1. Simulation Parameters
参数 数值 参数 数值 水下航行器长度/m 100 地磁恒定强度/nT $ 5\times {10}^{4} $ 水下航行器体积/$ {\mathrm{m}}^{3} $ 7160 浮力频率/(rad/s) 0.02 速度/(m/s) 10 磁偏角/(°) 0 海水电导率/(S/m) 5 磁倾角/(°) 60 表 2 内波对总磁场贡献比例
Table 2. Contribution ratio of internal wave to total magnetic field
hd/m 1 km处内波贡献比例/% 4 km处内波贡献比例/% 10 21.7 12.2 30 55.0 44.4 50 84.9 79.8 -
[1] Madurasinghe D, Tuck E O. The induced electromagnetic fields associated with submerged moving bodies in an unstratified conducting fluid[J]. IEEE Journal of Oceanic Engineering, 1994, 19(6): 193-199. [2] Madurasinghe D. Induced electromagnetic fields associated with large ship wakes[J]. Wave Motion, 1994, 20(2): 283-292. doi: 10.1016/0165-2125(94)90053-1 [3] Zou N, Nehorai A. Detection of ship wakes using an airborne magnetic transducer[J]. IEEE Trans. on Geoscience and Remote Sensing, 2000, 38(10): 532-538. doi: 10.1109/36.823948 [4] 张伽伟, 熊露, 姜润翔. 浅海中水下航行器尾流感应电磁场建模与仿真[J]. 系统工程与电子技术, 2016, 38(5): 1004-1009. doi: 10.3969/j.issn.1001-506X.2016.05.06Zhang J W, Xiong L, Jiang R X. Modeling and simulation of wake-induced electromagnetic field for underwater vehicle in shallow sea[J]. Systems Engineering and Electronics, 2016, 38(5): 1004-1009. doi: 10.3969/j.issn.1001-506X.2016.05.06 [5] 闫林波, 张建生. 尾流气泡幕中光子传输时间Monte Carlo仿真[J]. 水下无人系统学报, 2023, 31(6): 864-870. doi: 10.11993/j.issn.2096-3920.202212003Yan L B, Zhang J S. Monte Carlo simulation of photon transmission time in wake bubble curtain[J]. Journal of Unmanned Undersea Systems, 2023, 31(6): 864-870. doi: 10.11993/j.issn.2096-3920.202212003 [6] 董敏, 张建生, 闫林波, 等. 有机气泡光散射特性研究[J]. 水下无人系统学报, 2024, 32(5): 787-793.Dong M , Zhang J S, Yan L B, et al. Study on light scattering characteristics of organic bubbles[J]. Journal of Unmanned Undersea Systems, 2024, 32): 787-793. [7] 张建生. 实验室模拟尾流的光学研究[J]. 光子学报, 2001(9): 1146-1149. [8] 闫林波, 张建生, 董敏, 等. 多船尾流磁异常特性分析与仿真系统设计[J]. 水下无人系统学报, 2024, 32(5): 801-807. doi: 10.11993/j.issn.2096-3920.2023-0117Yan L B, Zhang J S, Dong M, et al. Analysis of magnetic anomaly characteristics of multi-ship wakes and design of simulation system[J]. Journal of Unmanned Undersea Systems, 2024, 32(5): 801-807. doi: 10.11993/j.issn.2096-3920.2023-0117 [9] 兰青, 闫林波, 任斌斌. KCS船舶尾流感应电磁场仿真分析[J]. 水下无人系统学报, 2024, 32(5): 818-822, 832.Lan Q, Yan L B, Ren B B. Simulation analysis of induced electromagnetic field in KCS ship wake[J]. Journal of Unmanned Undersea Systems, 2024, 32(5): 818-822, 832. [10] Robey H F. The generation of internal waves by a towed sphere and its wake in a thermocline[J]. Physics of Fluids, 1997, 9(11): 3353. doi: 10.1063/1.869448 [11] Xu Z H, Du C P, Xia M Y. Electromagnetic fields due to the wake of a moving slender body in a finite-depth ocean with density stratification[J]. Scientific Reports, 2018, 8: 14647. doi: 10.1038/s41598-018-32789-1 [12] Wang H, Chen K, You Y X. An investigation on internal waves generated by towed models under a strong halocline[J]. Physics of Fluids, 2017, 29(6): 065104. doi: 10.1063/1.4984988 [13] Huang F L, Meng Q J, Cao L S, et al. Wakes and free surface signatures of a generic submarine in a homogeneous and linearly stratified fluid[J]. Ocean Engineering, 2022, 250: 111062. doi: 10.1016/j.oceaneng.2022.111062 [14] Cao L S, Gao G, Guo E K, et al. Hydrodynamic performances and wakes induced by a generic submarine operating near free surface in continuously stratified fluid[J]. Journal of Hydrodynamics, 2023, 35(3): 396-406. doi: 10.1007/s42241-023-0037-8 [15] 陈学彬, 陈仕光, 李琪, 等. 密度分层流体中拖曳潜体内波尾迹特性的数值研究[J]. 中国造船, 2024, 65(6): 146-152. doi: 10.3969/j.issn.1000-4882.2024.06.013Chen X B, Chen S G, Li Q, et al. Numerical study on characteristics of internal wave wakes generated by a towed submarine in density-stratified fluid[J]. Ship Building of China, 2024, 65(6): 146-152. doi: 10.3969/j.issn.1000-4882.2024.06.013 [16] 杨哲超, 任立群, 郅长红, 等. 海洋分层特征对合成孔径雷达图像内波尾迹可识别性的影响[J]. 中国舰船研究, 2025, 20(3): 296-304. doi: 10.19693/j.issn.1673-3185.03935Yang Z C, Ren L Q, Zhi C H, et al. Influence of oceanic stratification characteristics on the recognizability of internal wave wakes in synthetic aperture radar images[J]. Chinese Journal of Ship Research, 2025, 20(3): 296-304. doi: 10.19693/j.issn.1673-3185.03935 -

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