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    三轴压缩下砂岩损伤演化机制与失稳判据研究

    Study on damage evolution mechanism and instability criteria of sandstone under triaxial compression

    • 摘要: 矿山开采强度的持续提升导致高地应力与强烈扰动下围岩失稳灾害频发,砂岩作为地下工程中广泛分布的围岩类型,其破裂失稳过程的精确预测是采矿工程安全评价的核心。针对传统力学强度准则在识别细观损伤非线性演化触发的动力灾害方面表现出的滞后性,采集国能神东煤炭集团布尔台煤矿12号煤层砂岩试样,开展了5组不同围压下的三轴压缩实验。基于韦伯分布和应变强度理论建立了砂岩统计损伤演化模型,通过拟合损伤演化指数n描述了岩石劣化过程的阶段性特征。利用统计力学方法定义了能量加权的空间相关长度,通过单链接聚类算法构建声发射事件的链路结构,将事件能量乘积作为贡献权重,定量分析了空间相关长度在不同变形阶段及约束应力下的演变特征。基于损伤增量、外部应力驱动与细观裂隙拓扑演化之间的协同规律,构建了综合预警指标ISFW。研究结果表明:空间相关长度在变形初期因裂隙的随机无序分布而呈现指数级衰减,但在达到临界损伤阈值Dc处发生增长,产生明显的空间结构突跳,这一特征标志着裂隙演化进入了空间协同核化阶段。随围压增加,岩石发生相同损伤量所需的归一化应力阈值整体右移,表明高围压对损伤演化具有滞后与抑制效应,且损伤速率峰值明显下降。综合预警指标ISFW在临界时刻发生非线性突变,其预警拐点与内部结构的演化本质高度契合。该指标成功建立了宏观应力场与细观空间结构的耦合关系,能够有效滤除环境噪声干扰并抵消围压对信号强度的抑制效应,为深部复杂地质环境下的砂岩失稳预警提供了物理内涵明确且灵敏度高的力学判据。

       

      Abstract: The continuous increase in mining intensity has led to frequent rock instability disasters under high ground stress and strong disturbance. Sandstone, as a widely distributed rock type in underground engineering, accurate prediction of its fracture and instability process is the core of mining engineering safety evaluation. In response to the lag of traditional mechanical strength criteria in identifying dynamic disasters triggered by nonlinear evolution of microscopic damage, sandstone samples from the No. 12 coal seam of Buertai Coal Mine of China Energy Shendong Coal Group were collected and subjected to five sets of triaxial compression experiments under different confining pressures. A statistical damage evolution model was constructed based on Weibull distribution and strain strength theory, with a damage evolution index n utilized to characterize the progressive deterioration of the rock. An energy-weighted spatial correlation length was defined using statistical mechanics, where the linkage structure of acoustic emission (AE) event was established via the single-linkage clustering method and weights were assigned based on AE energy products to analyze quantitatively the evolution characteristics of spatial correlation length at different deformation stages and under constrained stress. A comprehensive early-warning index, ISFW, was proposed by coupling damage increment, external stress driving and microscopic crack topology evolution. The results showed that the spatial correlation length initially exhibited exponential decay due to the random initiation of micro-cracks. However, a significant stepwise increase and spatial structure jump were observed at the critical damage threshold Dc, marking the transition to the spatial collaborative nucleation stage. With increasing confining pressure, the stress threshold required for a specific damage level shifted rightward, accompanied by a decrease in the peak damage evolution rate, which reflected the inhibition and hysteretic effect of high confining pressure on damage revolution. The ISFW index underwent a nonlinear jump at critical state, with its warning point aligning closely with the internal structural evolution essence. By establishing a coupled relationship between the macroscopic stress field and the mesoscopic spatial structure, this index effectively filters ambient noise and counteracts the inhibition effect of confining pressure, providing a physically meaningful and high-sensitivity criterion for sandstone instability early-warning in deep and complex geological environments.

       

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