煤矸石堆积费用计算的数学模型研究

On Mathematical Model for Calculating Coal Gangue Stacking Cost

煤矸石的堆积费用主要包括征地费和运矸车的电费。为计算这两种费用,基于三角函数、锥体体积公式、定积分的相关知识建立了数学模型,借助MATLAB数学软件编程完成了复杂计算。为了验证模型的可行性,结合山西省霍州煤电集团辛置煤矿矸石山的堆积情况,将实际参数值代入模型进行计算,通过结果对比,说明模型是有效的。

The stacking cost of coal gangue mainly includes land acquisition fees and the electricity cost of the waste truck.In order to calculate these two costs,a mathematical model was established based on the relevant knowledge of trigonometric functions,cone volume formula and definite integral,and the complex calculation was completed with MATLAB mathematical software programming.In order to verify the feasibility of the model,based on the accumulation of coal gangue in Xinzhi Coal Mine of Shanxi Huozhou Coal Power Group,the actual parameter values were substituted into the model for calculation.The comparison of the results showed that the model was effective.