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矿山充填体顶板强度需求计算方法研究进展及展望

Methods for calculating required strength of mine backfill roofs: progress and prospects

  • 摘要: 充填体顶板是下向充填采场的重要承载结构,其稳定性直接关系采场作业安全,合理确定其强度需求是实现安全、高效和经济生产的关键环节。针对充填体顶板强度设计方法及其适用性,系统综述了国内外相关研究进展。首先,总结了充填体顶板拉伸、弯折、剪切滑动、旋转、塌落和压缩剪切等主要破坏模式及其力学机制;其次,围绕梁理论、板理论和极限平衡理论,系统梳理了简支梁、固支梁、薄板、厚板、Mitchell模型及其修正模型等解析计算方法,并总结了可靠度理论在顶板强度设计中的应用;进一步分析了数值模拟方法在顶板破坏模式识别、解析模型验证及强度需求分析中的应用,以及经验图表方法的特点。综述表明,现有解析模型总体建立在理想化边界和简化荷载条件下,对深部开采过程中围岩闭合及其引起的水平挤压作用考虑不足;数值模拟研究表明,围岩−充填体相互作用能够显著改变顶板应力状态和破坏模式,并可能导致强度需求呈现不同于传统梁板理论的变化规律;经验图表方法具有较好的工程便捷性,但受矿山样本数量限制,制约了其在不同矿山间的直接推广应用。未来充填体顶板强度设计应进一步考虑多破坏模式耦合、围岩−充填体协同变形、充填体强度离散性及长期服役效应,推动解析理论、数值模拟、室内试验、原位测试与现场监测的协同应用,建立具有明确适用条件和参数依据的多层次强度设计体系。

     

    Abstract: The backfill roof is an important load-bearing structure in underhand backfill stopes, and its stability is directly related to the safety of stope operations. Rational determination of the required roof strength is therefore essential for achieving safe, efficient, and economical production. This paper systematically reviews relevant research in China and other countries on backfill roof strength design methods and their applicability. First, the major failure modes of backfill roofs, including tensile, flexural, shear-sliding, rotational, caving, and compressive-shear failures, are summarized, together with their underlying mechanical mechanisms. Second, based on beam theory, plate theory, and limit equilibrium theory, analytical methods including the simply supported beam model, fixed-end beam model, thin-plate model, thick-plate model, Mitchell model, and modified Mitchell models are systematically reviewed, and the application of reliability theory to roof strength design is discussed. The applications of numerical simulation in identifying roof failure modes, validating analytical models, and evaluating strength requirements are further examined, together with the characteristics of empirical chart methods. The review shows that existing analytical models are generally based on idealized boundary conditions and simplified loading assumptions, with insufficient consideration of rock-mass closure and the resulting horizontal compression during deep mining. Numerical studies indicate that rock-backfill interaction can substantially alter the stress state and failure mode of the roof and may cause strength requirements to vary in ways that differ from those predicted by conventional beam and plate theories. Empirical chart methods are convenient for engineering applications, but their direct transferability between mines is limited by the small number of mine cases on which they are based. Future strength design of backfill roofs should further consider the coupling of multiple failure modes, coupled deformation between rock masses and backfill, variability in backfill strength, and long-term service effects. Greater integration of analytical theory, numerical simulation, laboratory testing, in situ testing, and field monitoring is needed to establish a multilevel strength design framework with clearly defined applicability conditions and a sound basis for parameter selection.

     

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