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January 25, 2026Electronics2 citationsOpen Access

Physics-Informed Neural Networks for Underwater Acoustic Propagation Modeling: A Review

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YGYuxiang GaoPXPeng XiaoSXShiwei Xie

Key Points

  • The review aims to evaluate the application of physics-informed neural networks for underwater acoustic propagation modeling.
  • Grouped recent PINN developments into two research lines: simplifications of governing equations and performance enhancements.
  • Reviewed approaches using ray-based PINNs and estimators for modal wavenumbers.
  • Explored tailored network architectures and hyperparameters for computational efficiency.
  • Demonstrated significant potential of PINNs in solving acoustic wave equations.
  • Identified challenges with computational efficiency and convergence, especially in high-frequency scenarios.
  • Outlined future research directions focusing on hybrid modeling and scalable training algorithms.

Abstract

Physics-informed neural networks (PINNs) have recently attracted considerable attention as a framework for solving partial differential equations. Underwater sound-field prediction fundamentally relies on solving acoustic wave equations, making PINNs a natural candidate for this application. This paper reviews recent developments in PINN-based modeling of underwater acoustic propagation, which we group into two main lines of research. The first introduces mathematically motivated simplifications of the governing equations and then employs PINNs as efficient solvers; examples include ray-based PINNs and PINN estimators of modal wavenumbers. The second focuses on improving computational performance by tailoring network architectures and hyperparameters, such as spatial domain-decomposition strategies. While PINNs demonstrate significant potential, challenges persist regarding computational efficiency and convergence in high-frequency regimes. Future research directions are identified, emphasizing a multi-faceted strategy that systematically addresses limitations at both the physical formulation level and the neural network architecture level. By integrating advanced hybrid physics-data modeling and scalable training algorithms, this review highlights the pathway toward bridging the gap between theoretical frameworks and realistic ocean applications.

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Cite This Study

Gao et al. (2026) studied this question.

synapsesocial.com/papers/6975b4fd5a65d392b01e5badhttps://doi.org/10.3390/electronics15020480
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