基于量纲分析的金属矿山覆岩垮落高度预测研究

提出利用量纲分析的方法对金属矿山覆岩垮落高度进行初步探索，对影响覆岩垮落的一系列因素进行统计和分析。垮落高度的影响因素包括采矿方法、矿体厚度、开采深度、构造应力、采空区尺寸、覆岩岩性、岩性结构、断层结构和时间等。结合工程实际和量纲分析构建了函数关系式和量纲矩阵，得出了垮落高度H与矿体厚度d、开采深度h、构造应力? h、采空区尺寸s、岩石重度? 、岩石松散系数k、硬度系数f之间的定量关系式。选取金属矿山垮落工程实例对所建立的垮落高度预测关系式进行验证，其垮落高度的计算结果与现场实测结果较吻合，误差在5.8%左右，满足工程需要。该方法可为矿山水体下采矿参数选取、矿山冲击地压控制及采矿方法的选择提供参考。

Collapsing height prediction of overburden rockmass at metal mine based on dimensional analysis

The paper studies the collapsing height of overburden rockmass at metal mine with dimensional analysis. The collapsing height is closely related to such factors as mining techniques, thickness of ore body, mining depth, tectonic stress, size of goaf, lithology of overburden rockmass, lithological structure, fault structure and time, etc. The statistics and analysis of the influential factors are carried out. The functional relation and dimensional matrix are established combining the engineering practices and dimensional analysis. The quantitative relations are set up among collapsing height H and ore body thickness d, mining depth h, tectonic stress ? h , size of goaf s, unit weight of rock ? , coefficient of volumetric expansion of rock k and coefficient of hardness f . The prediction relation expression of collapsing height is verified with practical engineering. The computed results of collapsing height are consistent with the measured results at an error of about 5.8%, which satisfies the engineering requirements. This method provides references for mining parameter selection under the mine water body, mine rockburst control and selection of mining techniques.