基于 Fourier 级数的露天矿抛掷爆破效果 GA-LSSVM 预测

GA-LSSVM prediction of blasting casting effect in open⁃pit mine based on Fourier series

  • 摘要: 抛掷爆破效果直接影响露天矿剥离成本,对抛掷爆破的拉斗铲倒堆工艺生产效率有重要影 响,为提高露天煤矿抛掷爆破效果预测准确率,进而提高反馈爆破参数优化设计精度,在分析露天 矿抛掷爆破效果影响因素的基础上,提出一种遗传算法( GA) 优化最小二乘支持向量机( LSSVM) 的抛掷爆破效果预测模型。 引入傅里叶级数模型模拟爆堆剖面曲线,利用训练完成的 GA-LSSVM 预测Fourier级数模型控制参数A0,θ,an及bn,进而输出预测的爆堆形态。 依据内蒙古黑岱沟露天 煤矿抛掷爆破实测数据进行实例分析,选取台阶高度、剖面宽、炸药单耗、最小抵抗线、排距、孔距、 坡面角、采空区上口宽、采空区下口宽、松方体积、有效抛掷量作为 GA-LSSVM 预测模型的输入参 数,A0、θ、an、bn、最远抛掷距离、松散系数和有效抛掷率作为输出参数,建立露天矿抛掷爆破效 果 GA-LSSVM 预测模型,并将偏最小二乘回归模型(PLSR)、LSSVM 模型、粒子群算法优化最小二 乘支持向量机模型(PSO-LSSVM)与其进行对比。 结果表明:1 通过 2~7 阶 Fourier 展开级数对爆 堆剖面曲线模拟分析,确定阶数为 4 时模拟精度与效率达到最优,其误差平方和( SSE) 为 21.593 4, 决定系数(R2)与调整后的决定系数(R2adj)为 0.999 2,均方根误差(RMSE)为 0.479 3;2 相较于传 统 LSSVM 预测模型,通过 GA 优化后,最远抛掷距离、松散系数以及有效抛掷率均获得更高的 R2(1,1,1)和更小的 RMSE(0.180 9,0.000 7,0.000 2),说明改进后的 GA-LSSVM 具有更好的模拟 效果和泛化能力;3 与 PSO-LSSVM、LSSVM、PLSR 模型相比,GA-LSSVM 模型对抛掷爆破效果的 预测精度(R2,RMSE)更高且优势明显;4 结合 4 阶 Fourier 级数的 GA-LSSVM 模型与采用 Weibull 函数的 BP 或 GA-ELM 等模型相比,对爆堆形态的预测具有更高的操作效率及预测精度。

     

    Abstract: The blast casting effect directly affects the stripping cost of open⁃pit mine,and has an important impact on the production efficiency of the throwing⁃blasting⁃draw bucket dumping process system. Based on the influencing factors of mine blast casting effect,a prediction model of blast casting effect using genetic algorithm (GA) optimized least squares support vector machine (LSSVM) was proposed. The Fourier series model was introduced for the first time to simulate the profile curve of the explosion,and the trained GA-LSSVM was used to predict the Fourier se⁃ ries model control parameters A0,θ,an and bn,and then output the predicted explosion shape. Based on the actu⁃ al measurement data of blast casting in the Heidaigou Open⁃pit Coal Mine, the parameters were selected, such as the height of the bench, the width of the section, the unit consumption of explosives, the minimum resistance line,the row spacing,the hole spacing,the slope angle,the widths of the upper opening and the lower opening of the gob,loose square volume,and effective throwing volume,as the input parameters of the GA-LSSVM predic⁃ tion model,and the A0,θ,an,bn,the farthest throwing distance,loosening coefficient and effective throwing rate were used as output parameters to establish the GA-LSSVM model for predicting the blast casting effect at open⁃pit mine. In addition,the LSSVM prediction model was compared with the Partial Least Squares Regression Model (PLSR),LSS⁃ VM Model,and Particle Swarm Optimization Least Squares Support Vector Machine Model (PSO-LSSVM). The re⁃ sults show that 1 the detonation profile curve is simulated and analyzed by the Fourier expansion series of orders 2 to 7,and it is determined that the simulation accuracy and efficiency are optimal when the order is 4,the sum of squares of errors ( SSE ) is 21. 593 4, and the coefficient of determination ( R2 ) and the adjusted coefficient of determination (R2adj) is 0.999 2,and the root mean square error (RMSE) is 0.479 3; 2 compared with the tradition⁃ al LSSVM prediction model,after the GA optimization,the farthest throwing distance,the loose coefficient and the ef⁃ fective throwing rate are all higher R2 value (1,1,1) and a smaller RMSE value (0.180 9,0.000 7,0.000 2) are ob⁃ tained,indicating that the improved GA-LSSVM has better simulation effect and generalization ability; 3 compared with PSO-LSSVM,LSSVM,and PLSR,the GA-LSSVM model has a higher prediction accuracy (R2,RMSE) for the blasting effect of throwing and has obvious advantages; and 4 compared with models such as GA-ELM,the prediction of the explosion shape has higher operational efficiency and prediction accuracy.

     

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