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Updated: Aug 6, 2026

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Blast Quantification Using Hopkinson Pressure Bars
Published on: July 5, 2016
Research on prediction method for blast vibration waveforms considering peak-time variation
Bei Jia1,2, Lulu Qi3,4, Xiaolong Li3,4
1China ENFI Engineering Corporation, Beijing, 100038, China. 1979141549@qq.com.
Scientific Reports
|July 20, 2026
Summary
This study introduces a corrected Anderson model for predicting blast-induced vibrations, significantly improving accuracy by accounting for nonlinear peak time attenuation. The enhanced model reduces prediction errors for peak particle velocity (PPV) and peak time in multi-hole blasts.
Area of Science:
- Geotechnical Engineering
- Mining Engineering
- Vibration Analysis
Background:
- Traditional Anderson blast-induced vibration models face accuracy limitations due to fixed sub-wave peak time assumptions.
- Phase error accumulation during multi-hole superposition degrades prediction accuracy in existing models.
Purpose of the Study:
- To develop a corrected Anderson model addressing the accuracy bottleneck in blast-induced vibration prediction.
- To improve the prediction accuracy of peak particle velocity (PPV) and peak time in multi-hole blasting scenarios.
Main Methods:
- A nonlinear peak time attenuation correction method was proposed.
- A peak time prediction formula was derived using dimensional analysis based on charge quantity, distance, and PPV.
- An amplitude-time dual-parameter corrected Anderson nonlinear superposition model was constructed.
Main Results:
- The corrected model reduced PPV relative error from 15.2%-29.0% to 6.9%-14.0%.
- Peak time relative error decreased significantly from 88%-115% to 1.3%-30.0%.
- Waveform shape, spectral characteristics, and dominant frequency prediction accuracy were substantially improved, with deviations controlled within 8 Hz.
Conclusions:
- The proposed model effectively resolves phase error accumulation in multi-hole blast-induced vibration superposition.
- This approach offers reliable theoretical support for precise blast-induced vibration prediction and safety control in mining and construction.

