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ORIGINAL RESEARCH article

Front. Mar. Sci.

Sec. Physical Oceanography

Research on Intelligent Predicting Method of Underwater acoustic Field Based on Physics-Informed Neural Network

Provisionally accepted
Lei  ChenLei Chen*Lin  ZhangLin ZhangXuehai  SunXuehai SunJiaxi  DuanJiaxi DuanLijun  YinLijun YinXinshuo  ZhengXinshuo ZhengJie  ChenJie Chen
  • Naval submarine academy, Qingdao, China

The final, formatted version of the article will be published soon.

In the context of the rapid development of computer hardware and the continuous improvement of the artificial intelligence and deep learning theory, aiming at the traditional numerical solution method to solve the underwater acoustic fluctuation equation with large computational volume and the limitation of using various acoustic propagation models.We use the numerical solution calculated by the KRAKEN based on the normal mode theory, which is widely used in low-frequency shallow water waveguides, and combine it with the idea of solving the retarded envelope function in the parabolic equation theory.We propose a physical information neural network (PINN)-based method for intelligent prediction of the acoustic field using the elliptic fluctuation equation as the controlling equation.We conduct experiments under water body sound velocity varying stratified waveguide, to validate the model forecasting effect.It is experimentally verified that an effectively trained PINN network model can forecast the sound field at any given range.The predicted sound field can be used for a wide range of applications, such as sound source localisation and sonar range estimation.

Keywords: Wave equation, Kraken, Envelope function, PINN, Sound field prediction

Received: 14 Jul 2025; Accepted: 21 Nov 2025.

Copyright: © 2025 Chen, Zhang, Sun, Duan, Yin, Zheng and Chen. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Lei Chen, chenlei00430@163.com

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