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现代矿业 ›› 2026, Vol. 42 ›› Issue (05): 53-57,68.

• 采矿工程 • 上一篇    下一篇

基于响应曲面法的磷矿采场结构参数分析与优选

张晓庆 魏学谦   

  1. 中蓝长化工程科技有限公司
  • 出版日期:2026-05-25 发布日期:2026-06-10

Analysis and Optimization of Stope Structural Parameters of Phosphate Mine Based on Response Surface Methodology

ZHANG Xiaoqing WEI Xueqian   

  1. Chonfar Engineering and Technology Co.,Ltd.
  • Online:2026-05-25 Published:2026-06-10

摘要: 为了对地下磷矿采场结构参数进行科学选择,利用响应曲面法进行安全性和经济性 多层次综合优选。对某地下磷矿选取矿房长度和矿房宽度等 4 项参数作为试验因子,并根据生产 实际,对各试验因子的理论水平进行了模糊拟合。以采场顶板位移量为安全性指标,以采场直接 生产成本为经济性指标,设计了采场结构参数安全经济多层优选的响应曲面法试验方案。利用 Design-Expert 分析了各采场结构参数及交互因子对采场安全性影响,得到了采场安全性的重要影 响因子,并模拟预测了 100 组采场结构参数组合的顶板位移值,优选出 69 组安全性合格的采场结 构参数组合;分析了各采场结构参数及交互因子对采场经济性影响,得到了采场经济性的重要影 响因子,并从安全性合格的采场结构参数组合进一步优选出 3 组经济性最优的组合。综合各组合 的顶板位移值,推荐矿房长度 70 m、宽度 16 m、高度 4.5 m 且矿柱间距 10 m 为安全及经济综合最优 的采场结构参数组合。经实践应用证明,响应曲面法对采场结构参数多层优选是科学有效且结果 可靠的,可以为矿山安全生产提供参考与指导。

关键词: 磷矿, 采场结构参数, 响应曲面法

Abstract: In order to scientifically select the structural parameters of underground phosphate mine stopes,the response surface methodology is adopted to carry out multi-level comprehensive optimization of stope structural parameters from the perspectives of safety and economy. Four parameters including stope length and stope width are selected as experimental factors for an underground phosphate mine,and the theoretical levels of each experimental factor are fuzzily fitted according to actual production conditions. Taking stope roof displacement as the safety index and stope direct production cost as the economic index, a response surface methodology test scheme for multi-level safety and economy optimization of stope struc⁃ tural parameters was designed. The Design-Expert software is used to analyze the influences of stope struc⁃ tural parameters and their interaction factors on stope safety,and the key influencing factors of stope safety are obtained. The roof displacement values of 100 groups of stope structural parameter combinations are simulated and predicted,and 69 groups of stope structural parameter combinations with qualified safety were selected. The influences of stope structural parameters and their interaction factors on stope economy are analyzed,and the key influencing factors of stope economy were determined. Furthermore,3 groups of optimal economic combinations are further screened from the safety-qualified parameter combinations. Combining the roof displacement values of each combination,the stope structural parameter combination with stope length 70 m,stope width 16 m,stope height 4.5 m and pillar spacing 10 m is recommended as the comprehensive optimal scheme with good safety and economic benefits. Practical application proves that the multi-level optimization of stope structural parameters by response surface methodology is scientif⁃ic,effective and reliable,which can provide reference and guidance for safe production of mines.

Key words: phosphate mine, stope structural parameters, response surface methodology