Simulation of shock and vibration of nuclear explosion in limestone based on chemical explosion
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摘要: 根据爆炸能量相似律,提出了采用化爆模拟核爆在石灰岩中爆炸的冲击震动效应的方法。通过对核爆和化爆分别在石灰岩中爆炸的冲击震动效应的分析,建立了化爆与核爆之间自由场峰值应力和峰值速度的模拟关系式,并利用最小二乘法,拟合出了最终的模拟表达式。经过对关系式的计算表明:拟合出的关系式较可靠,在已知化爆的基础上可近似计算核爆的峰值应力及峰值速度。Abstract: Analysis on shock and vibration of nuclear explosion in limestone is difficult due to the forbidden law of nuclear test. Based on the blasting similarity law, simulation of shock and vibration of nuclear explosion in limestone based on chemical explosion is considered. Shock and vibration of nuclear and chemical explosion had been analyzed. The expression of equivalent weight coefficient between chemical and nuclear explosion is defined by stress wave and velocity and given by least square method. The expression can be used to calculate stress wave and velocity of nuclear explosion approximately.
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表 1 自由场的峰值速度和峰值应力
Table 1. Peak radial velocitis and stresses of free field
(r·w-1/3)/(m·kg-1/3) 104vr/(Mm·s-1) vh/(Mm·s-1) 104vr/vh 104σr/TPa σh/TPa 104σr/σh 0.01 1 613 000 5 135 000 0.314 4 910.0 70 532 0.069 6 0.05 28 854 189 520 0.152 196.40 2 440.8 0.080 5 0.10 5 100.7 45 766 0.111 49.100 573.30 0.085 6 0.25 516.16 6 994.6 0.074 7.856 0 84.468 0.093 0 0.50 91.24 1 689.1 0.054 1.964 0 19.840 0.099 0 0.75 33.11 753.64 0.044 0.873 0 8.501 7 0.102 7 1.00 16.13 407.89 0.040 0.491 0 4.660 0 0.105 4 1.25 9.23 258.15 0.036 0.314 2 2.923 1 0.107 5 1.50 5.85 177.65 0.033 0.218 2 1.997 0 0.109 3 1.75 3.98 129.51 0.031 0.160 3 1.446 9 0.110 8 2.00 2.85 98.50 0.029 0.122 8 1.094 5 0.112 2 2.25 2.12 77.37 0.027 0.097 0 0.855 7 0.113 4 2.50 1.63 62.34 0.026 0.078 6 0.686 8 0.114 4 2.75 1.29 51.27 0.025 0.065 0 0.562 6 0.115 5 3.00 1.03 42.90 0.024 0.054 6 0.469 0 0.116 4 -
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