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露天爆破中炸藥單耗對巖石破碎塊度的數值模擬研究

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

  • 摘要: 露天爆破中巖石破碎塊度是鉆爆、鏟裝、運輸及后續工藝等綜合成本的主要衡量標準,炸藥單耗是其主要影響因素,而炸藥單耗對破碎塊度的研究一般采用爆破模型試驗,但其存在成本高、試驗結果誤差大等缺點. 為了優化炸藥單耗來降低爆堆的大塊率、平均塊度,并預測實際工程塊度,在爆炸破巖理論基礎上,運用基礎力學測試設備對模型材料進行了單軸抗壓、彈性模量、斷裂韌度等測試,標定RHT本構模型參數,通過LS-DYNA數值仿真軟件和粒子流算法(SPH)構建了三維露天臺階爆破數值仿真模型,首次對爆破破巖數值模擬結果實現塊度精準統計,并對爆破破巖塊度隨炸藥單耗的變化規律開展了系統研究. 研究結果表明:炸藥單耗在0.23 ~0.79 kg·m?3范圍內,巖塊最大尺寸均小于240 mm,其變化區域分為240、220、140 mm三個最大塊度相近區和240~220 mm、220~140 mm兩個明顯下降區;隨單耗增加,均勻性指數n呈波浪式減小,分形維數Dn的變化趨勢相反,平均塊度尺寸呈現先快速下降后緩慢變化的趨勢;炸藥單耗的塊度分布擬合曲線采用G–G–S函數擬合,相關系數均在0.91~0.97間,其變化規律驗證了通過SPH法來模擬巖石爆破和巖石破碎塊度統計方法的可行性和準確性. 研究結果對爆破破碎塊度分布規律的完善及塊度控制工程具有一定的意義.

     

    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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