Calculation of shock wave transmission and reflection pressures at water-soil interface

YAN Fuhuai; YUE Songlin; QIU Yanyu; WANG Mingyang; HE Yong

doi:10.11883/bzycj-2023-0440

Volume 44 Issue 11

Nov. 2024

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YAN Fuhuai, YUE Songlin, QIU Yanyu, WANG Mingyang, HE Yong. Calculation of shock wave transmission and reflection pressures at water-soil interface[J]. Explosion And Shock Waves, 2024, 44(11): 112201. doi: 10.11883/bzycj-2023-0440

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YAN Fuhuai, YUE Songlin, QIU Yanyu, WANG Mingyang, HE Yong. Calculation of shock wave transmission and reflection pressures at water-soil interface[J]. Explosion And Shock Waves, 2024, 44(11): 112201. doi: 10.11883/bzycj-2023-0440

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Calculation of shock wave transmission and reflection pressures at water-soil interface

doi: 10.11883/bzycj-2023-0440

1.
State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China
2.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Received Date: 2023-12-24
Rev Recd Date: 2024-03-19

Available Online: 2024-03-26

Publish Date: 2024-11-15

Abstract

Abstract

There is a lack of reliable calculation theory for the transmission and reflection pressures of shock waves at the water-soil interface. Using the mass conservation equation, momentum conservation equation, and the equations of state of water and soil, the Hugoniot relationship and p-u curve of the propagation of shock waves in water and soil medium are derived, and then the transmission and reflection pressures of the shock wave at the water-soil interface can be analyzed theoretically. Two-dimensional numerical models of the free field in water and water-soil layered medium field are established, in which the water and soil parameters are consistent with those in the three-phase medium saturated soil model used in the theoretical derivation. The calculation results show that the theoretical and numerical solutions of the water-soil interface transmission and reflection pressures are highly consistent. When using 80 g TNT explosives and exploding at 0.1–0.9 m from the water-soil interface (proportional burst distance of 0.232–2.089 m/kg^1/3), the error of the theoretical and numerical solutions for transmission and reflection pressures is less than 7%, and the coefficient of the reflection pressure is in the range of 1.6–1.8 according to the analytical solution of the reflection pressure and the ratio of the incident pressure in the water. When exploding at 0.5 m from the water-soil interface and the gas content of the saturated soil varies in the range of 0–10%, the transmission and reflection pressures are 63.8–70.0 MPa, and the reflection pressure coefficients are in the range of 1.55–1.70 at this time. The calculation method for the shock wave transmission and reflection pressure at the water-soil interface has a clear physical meaning and high precision and can provide a theoretical basis for the soil damage assessment of engineering structures in submerged soil caused by underwater explosions.
- water-soil interface,
- shock wave propagation,
- theoretical calculation,
- transmission pressure,
- reflection pressure

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