露天爆破中炸药单耗对岩石破碎块度的数值模拟研究

Effect of explosive powder factor on rock crushing block size in open-pit blasting

  • 摘要: 露天爆破中岩石破碎块度是钻爆、铲装、运输及后续工艺等综合成本的主要衡量标准,炸药单耗是其主要影响因素,而炸药单耗对破碎块度的研究一般采用爆破模型试验,但其存在成本高、试验结果误差大等缺点. 为了优化炸药单耗来降低爆堆的大块率、平均块度,并预测实际工程块度,在爆炸破岩理论基础上,运用基础力学测试设备对模型材料进行了单轴抗压、弹性模量、断裂韧度等测试,标定RHT本构模型参数,通过LS-DYNA数值仿真软件和粒子流算法(SPH)构建了三维露天台阶爆破数值仿真模型,首次对爆破破岩数值模拟结果实现块度精准统计,并对爆破破岩块度随炸药单耗的变化规律开展了系统研究. 研究结果表明:炸药单耗在0.23 ~0.79 kg·m−3范围内,岩块最大尺寸均小于240 mm,其变化区域分为240、220、140 mm三个最大块度相近区和240~220 mm、220~140 mm两个明显下降区;随单耗增加,均匀性指数n呈波浪式减小,分形维数Dn的变化趋势相反,平均块度尺寸呈现先快速下降后缓慢变化的趋势;炸药单耗的块度分布拟合曲线采用G–G–S函数拟合,相关系数均在0.91~0.97间,其变化规律验证了通过SPH法来模拟岩石爆破和岩石破碎块度统计方法的可行性和准确性. 研究结果对爆破破碎块度分布规律的完善及块度控制工程具有一定的意义.

     

    Abstract: The degree of crushing blocks during open-air blasting is the primary measurement standard for comprehensive costs such as drilling, shoveling, transportation, and follow-up processes. Powder factor is the primary influencing factor and is typically used in blasting model tests to perform related research. However, high costs, test results for errors, and other shortcomings exist. Uniaxial compression, modulus of elasticity, fracture toughness, and other tests were conducted on the model materials based on the basic theory of explosive rock-breaking using basic mechanical testing equipment to calibrate the parameters of the riedel hiermaiver thoma (RHT) intrinsic model to optimize the powder factor of explosives to reduce the percentage of large blocks, reduce the average block size, and predict the block size of blasts in actual projects. Using the numerical simulation software LS-DYNA and the SPH particle flow algorithm to construct a three-dimensional open-air step blasting numerical simulation model, the numerical simulation results of blasting rock breakage to realize the block degree of accurate statistics and blasting rock breakage block degree with the powder factor rule of change were systematically performed. The results of this study show that when increasing the powder factor from 0.23 to 0.79 kg·m−3, the maximum block size is less than 240 mm and shows a different declining trend, which is divided into three zones of a similar decline in block size corresponding to the maximum block size gradient of 240, 220, and 140 mm, and two zones of a significant decline in the maximum block size with corresponding powder factors of 0.31–0.39 and 0.55–0.71 kg·m−3, respectively. The average block size shows an overall decreasing trend with an increasing powder factor of 0.23–0.55 kg·m−3, the average block size decreases from 120 mm to 67.7 mm, and the homogeneity index n decreases from 0.85 to 0.60. The fractal dimension D increases from 2.15 to 2.40. The powder factor is 0.55–0.79 kg·m−3, and the average block size fluctuates up and down, with maximum and minimum values of 76.83 and 65.65 mm, respectively. The homogeneity index n increases and then decreases, and the fractal dimension D decreases and then increases. The block size distribution pattern after blasting is consistent with the feedback from an actual engineering site, and the block size distribution curve of the powder factor is fitted using the G–G–S function. The correlation coefficients are between 0.91 and 0.97, verifying the feasibility and accuracy of the statistics of rock fragmentation block size in the blasting simulation results of the SPH method. This result overcomes the problems of high costs and large experimental errors in the traditional model test. The results of this study have specific significance for improving the distribution law of blast crushing bulkiness and bulkiness control engineering.

     

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