装药爆炸时最小阻力线的数值模拟

M. Kononenko, O. Khomenko, A. Kosenko
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引用次数: 1

摘要

目的。建立考虑岩体物理力学特性和炸药爆轰特性的炸药最小阻力线(LLR)最大值计算的解析规律。研究方法。数值模拟采用有限元法(FEM)改变模型的应力-应变状态,建立了不同装药腔直径、爆炸产物压力和岩石抗拉强度下的LLR值。回归分析得到了LLR随岩体物理力学性质和炸药爆轰特性变化的经验规律。数学模型建立了裂缝形成区和密集破碎区LLR计算的解析规律。发现。根据模型材料在装药腔周围应力状态的变化,得到了LLR最大值随装药腔直径、炸药装药直径、炸药爆轰密度和爆轰速率、抗压和抗剪强度变化的经验规律。根据所制定的计算方案,得到了裂纹形成区和密集破碎区LLR计算的解析规律。根据所得的规律,对LLR计算结果进行比较,选择出最正确的LLR计算公式,即破碎强烈区LLR计算的解析规律。的创意。建立了综合考虑破碎区半径、装药腔直径和装药直径、炸药密度和爆速、岩石抗压强度、岩石在岩石压力作用下的破裂和压实等因素的幂律法来确定炸药的LLR,从而可以计算沿破碎密集区破碎岩体的钻爆参数。实际意义。根据研究结果,得出了强破片区装药LLR计算的解析规律,可用于在工业炸药的帮助下,合理设计采矿时的掘进参数。
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Numerical simulation of the line of least resistanceduring the explosion of charges
Purpose. To establish the analytical regularity of the calculation of the maximum value of the line of least resistance (LLR) of the explosive (E), taking into account the physical and mechanical properties of the rock mass and the detonation characteristics of the explosive. The methodology of research. Numerical modeling by the finite element method (FEM) to change the stress-strain state of the model established the value of the LLR at different diameters of the charge cavity, the pressure of explosion products and the tensile strength of rocks. Regression analysis obtained an empirical pattern of changes in the LLR depending on the physical and mechanical properties of the rock mass and the detonation characteristics of explosives. Mathematical modeling establishes analytical regularities of LLR calculation for zones of crack formation and intensive fragmentation. Findings. According to the change in the stress state of the model material around the charging cavity, the empirical regularity of changing the maximum value of the LLR depending on the diameter of the charging cavity and the diameter of the explosive charge, the density and rate of detonation of explosives, the compressive and shear strength. According to the developed calculation scheme, analytical regularities of LLR calculation for zones of crack formation and intensive fragmentation are obtained. By comparing the results of LLR calculation according to the obtained regularities, the most correct formula for LLR calculation was chosen, which turned out to be the analytical regularity of LLR calculation for the zone of intensive fragmentation. The originality. The power law is established for determining the LLR of an E, which comprehensively takes into account the radius of the crush zone, the diameter of the charging cavity and charge, the density and detonation velocity of E, the compressive strength of rocks, their fracturing and compaction under the action of rock pressure, which makes it possible to calculate the parameters of drilling and blasting (D&B) for breaking massif along the zone of intensive fragmentation. Practical implications. According to the results of the research, an analytical regularity of the calculation of the LLR of the explosive charge in the zone of intensive fragmentation was obtained, the use of which will allow to rationalize the D&B parameters in ore mining with the help of industrial explosives.
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