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The speed of sound in a gaseous medium depends on various factors. Since gases constitute molecules that are free to move, they are highly compressible. Hence, sound waves travel slowly through gases. Thermodynamics helps us understand the relationship between pressure, volume, and temperature of gases, thus, the speed of sound in an ideal gas can be determined using the laws of thermodynamics. At the same time, Newton's laws of motion and the continuity equation of fluid dynamics also come...
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As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
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A deep learning framework for four-dimensional ocean sound speed field prediction.

Yingjie Li1,2, Jixing Qin1,2, Shuanglin Wu1,2

  • 1College of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China.

The Journal of the Acoustical Society of America
|February 12, 2026
PubMed
Summary
This summary is machine-generated.

We developed a new deep learning model, Swin Transformer-UNet (ST-UNet), for accurate ocean sound speed field (SSF) prediction. This model captures four-dimensional spatiotemporal information, significantly improving prediction accuracy for underwater applications.

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Area of Science:

  • Oceanography
  • Geophysics
  • Artificial Intelligence

Background:

  • Accurate prediction of ocean sound speed fields (SSFs) is vital for underwater communication, marine exploration, and environmental monitoring.
  • Deep learning models show promise for SSF prediction but struggle with high-dimensional data, limiting them to 3D feature extraction and incomplete spatiotemporal information capture.

Purpose of the Study:

  • To develop a novel deep learning model for four-dimensional (4D) SSF prediction, capturing complete spatiotemporal information.
  • To enhance the accuracy and capabilities of existing SSF prediction methods.

Main Methods:

  • Proposed the Swin Transformer-UNet (ST-UNet) model, integrating U-Net and Swin Transformer networks.
  • Utilized Swin Transformer for spatiotemporal feature extraction via multi-head self-attention.
  • Employed U-Net to refine spatial details through convolutional feature recovery.

Main Results:

  • The ST-UNet model achieved a root mean square error of 0.783 m/s for 24-hour SSF prediction using 7-day historical data from the South China Sea.
  • Demonstrated superior performance compared to baseline architectures, with improvements ranging from 33% to 72%.

Conclusions:

  • The ST-UNet model effectively predicts 4D SSFs, outperforming existing methods.
  • This advancement holds significant potential for improving underwater communication, marine resource exploration, and environmental monitoring.