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分级变上限循环加卸载煤岩破坏特征与能量演化特征

Failure and energy evolution of coal-rock under graded cyclic loading-unloading with variable upper limits

  • 摘要: 煤柱作为采区承载应力的关键结构,在多阶段采掘扰动作用下应力持续演化,其失稳破坏特征与冲击地压发生密切相关。以区段煤柱全周期应力演化为研究对象,将煤柱等效为煤单体(C)、煤岩二元组合体(RC)和煤岩三元组合体(RCR)标准试件,开展常规单轴压缩与分级变上限循环加卸载试验,并结合PFC2D数值模拟,对比研究不同加载路径下煤及组合体的变形破坏特征、声发射响应、能量演化及破碎分形特征。结果表明:3类试件在2种加载路径下均经历压密、弹性、塑性和失稳破坏阶段,循环加卸载条件下切线模量逐步降低并趋近,可作为失稳前兆判识指标;循环扰动促进损伤累积,使试件破坏由常规单轴条件下的突发性向渐进性转化。常规单轴加载下,试件C、RC、RCR的破碎分形维数分别为2.421、2.259和2.142;分级变上限循环加卸载下分别为2.213、2.026和1.896,表明循环扰动条件下试件破碎程度整体减弱。声发射结果表明,试件C振铃次数主要集中于峰后,占比约62.5%;试件RC和RCR峰前振铃次数占比约60.0%,表明组合体中煤体软弱部分先行损伤并诱发整体失稳。能量分析表明,3类试件常规单轴加载下弹性应变能占比为16%~25%,而分级变上限循环加卸载下弹性应变能占比降至10%,耗散塑性能占比稳定在84%左右,动能释放相对受限。研究结果可为区段煤柱多阶段下稳定性判识及冲击地压监测预警提供借鉴。

     

    Abstract: Coal pillars are the key structures that bear stress in mining districts. Under multi-stage mining disturbances, their stress state evolves continuously, and their instability and failure characteristics are closely related to the occurrence of rock bursts. Taking the full-cycle stress evolution of a panel coal pillar as the research object, the coal pillar was equivalently represented by standard specimens of a coal monolith (C), a coal-rock binary composite (RC), and a rock-coal-rock ternary composite (RCR). Conventional uniaxial compression tests and graded cyclic loading-unloading tests with variable upper limits were carried out. Combined with PFC2D numerical simulation, a comparative study was conducted on the deformation and failure characteristics, simulated acoustic emission responses, energy evolution, and fragmentation fractal laws of coal and composite specimens under different loading paths. The results show that all three types of specimens under both loading paths experienced the stages of compaction, elastic deformation, plastic deformation, and instability failure. Under cyclic loading-unloading conditions, the tangent modulus gradually decreased and converged, which can be used as a precursor indicator for instability. Cyclic disturbance promoted damage accumulation, causing the failure mode of the specimens to transform from abrupt failure under conventional uniaxial loading to progressive failure. Under conventional uniaxial loading, the fragmentation fractal dimensions of the C, RC, and RCR specimens were 2.421, 2.259, and 2.142, respectively; under graded cyclic loading–unloading with variable upper limits, the corresponding values were 2.213, 2.026, and 1.896, indicating that the overall fragmentation degree of the specimens was reduced under cyclic disturbance. Simulated acoustic emission results show that the ringing counts of the C specimens were mainly concentrated in the post-peak stage, accounting for about 62.5%, whereas the pre-peak ringing counts of the RC and RCR specimens accounted for about 60.0%, indicating that the weak coal part in the composites was damaged first and then triggered the overall instability. Energy analysis shows that, under conventional uniaxial loading, the elastic strain energy ratio of the three types of specimens was about 16%~25%, whereas under graded cyclic loading-unloading with variable upper limits, the elastic strain energy ratio decreased to about 10%, the dissipated plastic energy ratio remained stable at about 84%, and the kinetic energy release was relatively constrained. The results can provide a basis for stability identification of panel coal pillars under multi-stage disturbances and for monitoring and early warning of rock bursts.

     

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