摘要
冲击波在水土交界面的透射、反射压力计算尚缺乏可靠的计算理论,利用质量守恒方程、动量守恒方程以及水、土的状态方程,分别推导得到冲击波在水、土介质中传播的Hugoniot关系以及p-u曲线,进而从理论上解析得到冲击波在水土交界面处的透射和反射压力。分别建立了水中自由场、水-土分层介质场的二维数值计算模型,其中水、土参数与理论推导时采用的三相介质饱和土计算模型中的参数保持一致。计算结果表明,水土交界面透射、反射压力的理论解与数值解具有高度的一致性。采用80 g TNT炸药,距离水土交界面0.1~0.9 m(比例爆距为0.232~2.089 m/kg1/3)爆炸时,得到的透射、反射压力的理论解与数值解误差均小于7%,根据解析解得出反射压力与水中入射压力之比,反射压力系数在1.6~1.8范围内;距离水土交界面0.5 m时,饱和土的含气量在0~10%范围内变化,得到的透射、反射压力的范围为63.8~70.0 MPa,此时其反射压力系数在1.55~1.70范围内。推导得出的冲击波在水土交界面透射、反射压力的计算方法,物理意义明确、计算精度高,可为开展水下爆炸对水底土中工程结构的毁伤评估提供理论基础。
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/kg1/3),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.
作者
严富怀
岳松林
邱艳宇
王明洋
何勇
YAN Fuhuai;YUE Songlin;QIU Yanyu;WANG Mingyang;HE Yong(State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact,Army Engineering University of PLA,Nanjing 210007,Jiangsu,China;School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,Jiangsu,China)
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
2024年第11期49-59,共11页
Explosion and Shock Waves
基金
爆炸冲击防灾减灾全国重点实验室基金(LGD-SKL-202201)。
关键词
水土交界面
冲击波传播
理论计算
透射压力
反射压力
water-soil interface
shock wave propagation
theoretical calculation
transmission pressure
reflection pressure
作者简介
第一作者:严富怀(2000-),男,博士研究生,13101890239@163.com;通信作者:岳松林(1987-),男,博士,副教授,硕士生导师,yuesonglin163@163.com。
