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Article

AET-FRAP—A Periodic Reshape Transformer Framework for Rock Fracture Early Warning Using Acoustic Emission Multi-Parameter Time Series

1
School of Coal Engineering, Shanxi Datong University, Datong 037003, China
2
The Cultivation Base of Shanxi Key Laboratory of Coal Mine Water Jet Technology and Equipment, Shanxi Datong University, Datong 037003, China
*
Author to whom correspondence should be addressed.
Sensors 2025, 25(24), 7580; https://doi.org/10.3390/s25247580 (registering DOI)
Submission received: 11 November 2025 / Revised: 10 December 2025 / Accepted: 11 December 2025 / Published: 13 December 2025
(This article belongs to the Section Electronic Sensors)

Abstract

The timely identification of rock fractures is crucial in deep subterranean engineering. However, it remains necessary to identify reliable warning indicators and establish effective warning levels. This study introduces the Acoustic Emission Transformer for FRActure Prediction (AET-FRAP) multi-input time series forecasting framework, which employs acoustic emission feature parameters. First, Empirical Mode Decomposition (EMD) combined with Fast Fourier Transform (FFT) is employed to identify and filter periodicities among diverse indicators and select input channels with enhanced informative value, with the aim of predicting cumulative energy. Thereafter, the one-dimensional sequence is transformed into a two-dimensional tensor based on its predominant period via spectral analysis. This is coupled with InceptionNeXt—an efficient multiscale convolution and amplitude spectrum-weighted aggregate—to enhance pattern identification across various timeframes. A secondary criterion is created based on the prediction sequence, employing cosine similarity and kurtosis to collaboratively identify abrupt changes. This transforms single-point threshold detection into robust sequence behavior pattern identification, indicating clearly quantifiable trigger criteria. AET-FRAP exhibits improvements in accuracy relative to long short-term memory (LSTM) on uniaxial compression test data, with R2 approaching 1 and reductions in Mean Squared Error (MSE), Root Mean Squared Error (RMSE), and Mean Absolute Error (MAE). It accurately delineates energy accumulation spikes in the pre-fracture period and provides advanced warning. The collaborative thresholds effectively reduce noise-induced false alarms, demonstrating significant stability and engineering significance.
Keywords: rock fracture; deep learning; time series prediction; acoustic emission; early warning rock fracture; deep learning; time series prediction; acoustic emission; early warning

Share and Cite

MDPI and ACS Style

Yang, D.; Zhang, Z.; Yang, Z.; Li, Y.; Jin, L. AET-FRAP—A Periodic Reshape Transformer Framework for Rock Fracture Early Warning Using Acoustic Emission Multi-Parameter Time Series. Sensors 2025, 25, 7580. https://doi.org/10.3390/s25247580

AMA Style

Yang D, Zhang Z, Yang Z, Li Y, Jin L. AET-FRAP—A Periodic Reshape Transformer Framework for Rock Fracture Early Warning Using Acoustic Emission Multi-Parameter Time Series. Sensors. 2025; 25(24):7580. https://doi.org/10.3390/s25247580

Chicago/Turabian Style

Yang, Donghui, Zechao Zhang, Zichu Yang, Yongqi Li, and Linhuan Jin. 2025. "AET-FRAP—A Periodic Reshape Transformer Framework for Rock Fracture Early Warning Using Acoustic Emission Multi-Parameter Time Series" Sensors 25, no. 24: 7580. https://doi.org/10.3390/s25247580

APA Style

Yang, D., Zhang, Z., Yang, Z., Li, Y., & Jin, L. (2025). AET-FRAP—A Periodic Reshape Transformer Framework for Rock Fracture Early Warning Using Acoustic Emission Multi-Parameter Time Series. Sensors, 25(24), 7580. https://doi.org/10.3390/s25247580

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