Volume 44 Issue 8
Aug.  2024
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XU Qingtao, MA Honghao, ZHOU Zhangtao, YANG Ke, SHEN Zhaowu. Pressure-time formula for underwater explosion based on pressure-impulse curve[J]. Explosion And Shock Waves, 2024, 44(8): 081445. doi: 10.11883/bzycj-2023-0442
Citation: XU Qingtao, MA Honghao, ZHOU Zhangtao, YANG Ke, SHEN Zhaowu. Pressure-time formula for underwater explosion based on pressure-impulse curve[J]. Explosion And Shock Waves, 2024, 44(8): 081445. doi: 10.11883/bzycj-2023-0442

Pressure-time formula for underwater explosion based on pressure-impulse curve

doi: 10.11883/bzycj-2023-0442
  • Received Date: 2023-12-14
  • Rev Recd Date: 2024-03-20
  • Available Online: 2024-04-07
  • Publish Date: 2024-08-05
  • Theoretical study on the attenuation law of underwater explosion shock waves plays a crucial role in predicting the underwater explosion power. The attenuation law of underwater explosion shock waves could be analyzed from the shock waves pressure-time curve. The pressure-impulse (p-I) model has usually been used to assess damage on material and structure. In this paper, the pressure-time formula is analytically derived according to the p-I model. To verify the accuracy of the formula, the pressure-time relation curve was obtained by experiments with various explosive charges and distances. The experimental data was fitted in accordance with the theoretical equations of Cole and Орленко, and also with the developed pressure-time formula. The parameters of the formula are thus obtained. The accuracy could be described by the fitting coefficient R-squared (R2) value. The R-squared value of the developed pressure-time formula exceeds 0.988, which is greater than the R-squared values calculated by the equations of Cole and Орленко. In order to further validate the formula, the impulse and energy of underwater explosion shock waves are derived from the developed pressure-time formula, experimental data, and the equations of Cole and Орленко, respectively. Compared with the experimental results, the error of impulse derived from the developed pressure-time remains below 4%, which is 5%−10% lower than the errors of impulse between the experimental results and the equations of Cole and Орленко. The energy of the shock waves is similarly analyzed. Compared with the experimental results, the error of energy derived from the developed pressure-time remains below 1%, approximately the same as the errors of energy between the experimental results and the equations of Cole and Орленко. Compared with the calculation by equations of Cole and Орленко, it is seen that there is better correlation between the developed pressure-time formula and the experimental results. The developed pressure-time formula can be used to calculate the impulse and energy of underwater explosion shock waves.
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