【摘要】 考虑拱效应和开采边界影响，结合薄板理论，构建高阶段充填体下采空区顶板力学模型，提出考虑拱效应的高阶段充填体下采空区顶板跨度和厚度计算模型；将该模型应用于大冶铁矿狮子山采区-180 m水平矿体开采，并利用FLAC^3D数值模拟软件进行验证。研究结果表明：不同开采边界可以将高阶段充填体下采空区顶板力学模型简化为3类薄板模型，不同薄板模型下采空区顶板应力分布差异明显，固支边对应力分布影响更显著；结合大冶铁矿工程实例，采用本文模型计算确定的采空区顶板跨度为7.5 m,厚度为2 m,与K.B.鲁别涅依他公式法得到的参数相比更小；基于FLAC^3D数值模拟结果验证了其采空区顶板稳定性，验证结果表明将本文模型运用于高阶段充填体下采空区顶板参数设计中是合理可行的。更多还原

【Abstract】 Considering the arch effect and the influence of the mining boundary, a mechanical model of the goaf roof under the high stage filling was constructed by the thin plate theory and the calculation model of the roof span and thickness of the goaf under the high stage filling was proposed. This model was applied to the mining of-180 m horizontal orebody in the Shizishan mining area of Daye Iron Mine, employing FLAC^3D numerical simulation. The study findings indicate that the mechanical model of goaf roof under high stage filling can be simplified into three types of thin plate models with different mining boundaries. The stress distribution of goaf roof is obviously different under different thin plate models, especially on the clamped edge. Using the engineering example of the Daye Iron Mine in conjunction with the model presented, the roof span and thickness of the goaf are calculated to be 7.5 m and 2 m, respectively, which are lower than the values derived with the K.B. Lubernicus Yita formula. Based on the findings of the FLAC^3D numerical simulation, the stability of the goaf roof is validated, indicating the suitability and practicality of the model in the parameter design of the goaf roof under high stage filling.更多还原