Mathematical simulation of rock mass destruction zones by explosion

M. Kononenko, O. Khomenko, I. Sadovenko, V. Sobolev
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引用次数: 0

Abstract

Purpose. Improving the parameters of the rock mass destruction zones by a blasting, depending on the pressure of the explosion products in the charging cavity and the physical and mechanical properties of rocks by combining analytical and numerical mathematical simulation. The methodology of research. Using the theory of elasticity and the main provisions of the quasi-static wave hypothesis of the mechanism of destruction of a solid medium under the action of an explosion, an analytical simulation of the parameters of the formation of crush zones and grinding of a rock mass around the charging cavity under its explosive load was carried out. After the change in the stress-strain state of the massif under the action of the explosion, numerical simulation of the crushing zones, intensive grinding and cracking by the finite element method was carried out. To establish the suitability of the obtained analytical models for calculating the radii of the indicated zones, the results of analytical and numerical simulation were compared. Findings. Analytical models have been developed for the radii of the zones of crushing, intense grinding and cracking, which are formed around the charging cavity in the rock mass under its explosive load, taking into account the pressure of the explosion products, the tensile-compressive strength of the rocks, their structural structure, and fracturing. Numerical simulation of the destruction of rocks around the charging cavity established the power-law dependences of the change in the radii of the crushing zones and the grinding of the massif depending on the diameter of the charging cavity, the pressure of the explosion products, and the compressive strength of the rocks. By comparing the results of analytical and numerical simulation for rigid boundary conditions of a homogeneous non-fractured massif, the discrepancy between the radii of the indicated zones is found to be 4, 8 and 6%, respectively. The originality. The radii of the zones of crushing, intense grinding and cracking, established by mathematicalsimulation, formed during the explosive destruction of the rock mass, change according to a power law dependence on the diameter of the explosive charge, the pressure of the explosion products in the charging cavity, the strength of the rocks in tension-compression, the coefficients of the rock structure, structural weakening and compaction, determine the increase in the accuracy of estimating the parameters of the destruction of the rock mass up to 50%. Practical implications. Based on mathematical models of the radii of the zones of crushing, intense grinding and cracking, which are formed in the rock mass around the charging cavity under the action of an explosion, improved parameters of drilling and blasting operations are determined for mine workings, special-purpose cavities and breaking of the massif.
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岩体爆炸破坏区的数学模拟
目的。利用解析与数值模拟相结合的方法,根据装药腔内爆炸产物的压力和岩石的物理力学性质,通过一次爆破改善岩体破坏区的参数。研究方法。利用弹性理论和爆炸作用下固体介质破坏机理的准静波假设的主要规定,对装药腔周围岩体在爆炸载荷作用下的破碎区形成和磨碎参数进行了分析模拟。利用爆炸作用下岩体应力-应变状态的变化,采用有限元法对破碎区、剧烈磨碎和开裂进行了数值模拟。为了确定所获得的解析模型对指示区半径计算的适用性,将解析结果与数值模拟结果进行了比较。发现。考虑爆炸产物的压力、岩石的抗拉抗压强度、岩石的结构结构和破裂等因素,建立了在爆炸载荷作用下,岩体内装药腔周围形成的破碎区、强磨区和开裂区半径的分析模型。对装药腔周围岩石的破坏进行数值模拟,建立了破碎区半径变化和岩体的磨矿量与装药腔直径、爆炸产物压力和岩石抗压强度之间的幂律关系。通过对均匀非破裂地块刚性边界条件的解析和数值模拟结果进行比较,发现指示区半径的差异分别为4%、8%和6%。的创意。通过数学模拟建立的岩体爆炸破坏过程中形成的破碎区、强磨区和开裂区的半径,与炸药装药直径、装药腔内爆炸产物的压力、岩石的拉压强度、岩石的结构系数、结构弱化系数和压实系数有关,按幂律变化。确定将岩体破坏参数的估计精度提高50%以上。实际意义。根据爆炸作用下在装药腔周围岩体中形成的破碎区、强磨区和开裂区半径的数学模型,确定了矿山作业、专用空腔和岩体破碎的钻孔爆破改进参数。
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