基于尖点突变模型的临时矿壁系统失稳机制及矿壁厚度优化

Study on instability mechanism and thickness optimization of temporary ore wall based on cusp catastrophe model

针对临时矿壁系统失稳这一无间柱连续开采面临的重要问题,基于临时矿壁结构的稳定性力学模型研究,应用尖点突变理论分析了矿壁结构失稳的力学机制,得到矿壁屈曲失稳的尖点突变方程,获得矿壁失稳破坏的充分条件和必要条件。在此基础上,推导出矿壁失稳的极限厚度值的计算方法及其影响因素,并提出减小矿壁厚度、提高矿壁稳定性的3种控制措施。以安徽凤凰山铜矿工程为实例,其矿壁厚度的理论计算值应大于5.061 m,并进行了工业验证,实际生产中适宜的厚度值为5.5 m。工业应用结果表明,将尖点突变模型运用到临时矿壁系统中进行稳定性分析和参数设计计算是合理可行的。

Aiming at the instability of temporary ore wall system, a main problem of non-pillar continuous mining, this paper has applied cusp catastrophe theory to analyze the instability mechanism of ore wall structure on the basis of the study of stability mechanical model of temporary ore wall structure. The cusp catastrophe equation of ore wall buckling instability has been obtained, as well as the necessary and sufficient condition of ore wall unstable failure. On this basis, the calculation method and the effect factors for limit thickness of ore wall unstable failure have been deduced and three control measures taken to decrease the thickness and increase the stability of ore wall have also been proposed. Combined with an example of Fenghuangshan copper mine in Anhui, the theoretical calculating value of its ore wall thickness is supposed to be bigger than 5.061 m, while the suitable value in production is 5.5 m, which has verified the theoretical value in industry. The industrial results have shown that the application of the cusp catastrophe model in the stability analysis and structure design of ore wall system is both reasonable and feasible.