基于剩余能量释放速率指数的煤岩组合体冲击倾向性判定

doi:10.13722/j.cnki.jrme.2022.0882

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摘要煤岩冲击倾向性是煤岩是否发生冲击地压的自然属性，是煤岩发生冲击地压灾害的关键影响因素。为准确评判煤岩冲击倾向性，以煤岩组合体为研究对象，对其开展单轴循环加卸载试验，获得组合体不同应力水平下弹性应变能，建立弹性应变能与应力水平之间的函数关系，提出一种峰值应力时刻弹性应变能计算新方法。据此，提出一种综合考虑试件峰值强度、弹性应变能、破坏过程能量耗散及破坏时间的剩余能量释放速率指数，并结合现有指标给出冲击倾向性判定区间，最后进行合理性验证。结果表明：(1) 随着应力的增大，弹性应变能呈现“缓慢→快速→缓慢”的增长规律，对应了应力–应变曲线的压密阶段、弹性阶段、塑性阶段。(2) 输入应变能、弹性应变能、耗散应变能的演化规律与应力演化规律相似，均随应力的增大而增大，输入应变能增幅最大，耗散应变能增幅最小。(3) 试验获得了组合体不同应力水平时刻的弹性应变能，建立弹性应变能与应力水平之间的函数关系，即任一时刻应力的平方与弹性应变能具有良好线性关系，据此，提出一种峰值应力时刻弹性应变能计算新方法。(4) 综合考虑试件峰值强度、弹性应变能、破坏过程能量耗散及破坏时间等多种因素，提出一种新的冲击倾向性鉴定指标：剩余能量释放速度指数WT，该指数为试样峰前弹性应变能减去峰后耗散应变能得到的剩余能量与动态破坏时间的比值，表征煤岩发生冲击破坏时单位时间内能量释放情况。该指标与抗压强度Rc、冲击能量指数KE、弹性能量指数WET、动态破坏时间DT密切相关。给定了剩余能量释放速度指数WT的评判区间：当WT≤0时，煤岩无冲击倾向；当0＜WT≤14.5时，煤岩为弱冲击倾向；当WT＞14.5时，煤岩为强冲击倾向。(5) 采用多试样法对提出的剩余能量释放速率指数WT进行合理性验证。采用该指数对8个矿区煤层冲击倾向性进行评判，结果表明：剩余能量释放速率指数WT评价准确率高达93.75%。利用提出的新指标评价煤岩冲击倾向性，准确率高，合理性好，能够反映煤岩实际冲击倾向，具有较好的推广和应用价值。

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	陈光波1
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	李谭1
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	张国华3
	李建伟1
	刘刚3
	贺永亮4
	5
	李元1

关键词 ：岩石力学, 冲击倾向性, 煤岩组合体, 弹性应变能, 剩余能量释放速率, 合理性验证

Abstract：Coal-rock bursting liability is the natural attribute and the key influencing factor of coal-rock rockburst disasters. The coal-rock combined body was taken as the research object to accurately judge the bursting liability of coal and rock，and the uniaxial cyclic loading and unloading test was carried out on the coal-rock combined body，The elastic strain energy of the combined body under different stress levels was obtained，and the function between the elastic strain energy and the stress level was established. A new method for calculating elastic strain energy at peak stress time was proposed. A residual energy release rate index that comprehensively considers the peak strength，elastic strain energy，energy dissipation of the failure process and failure time of the specimen was proposed based on this，and the bursting liability judgment interval was given in combination with the existing indicators，and the rationality was verified. The results show that：(1) With the increase of the stress，the elastic strain energy shows a “slow-fast-slow” growth law，which corresponds to the compaction stage，elastic stage and plastic stage of the stress-strain curve. (2) The evolution laws of input energy density，elastic strain energy and dissipated energy density are similar to the evolution law of stress，all increasing with the increase of the stress. The increase of input energy density is the largest，and the increase of dissipated energy density is the smallest. (3) The elastic strain energy of the combined body at different stress levels was obtained through the experiment，and the functional relationship between the elastic strain energy and the stress level was established，that is，the square of the stress at any time had a good linear relationship with the elastic strain energy. A new method for calculating elastic strain energy at peak stress time was proposed. (4) Considering the peak strength of the specimen，elastic strain energy，energy dissipation in the failure process and failure time and other factors，a new bursting liability identification index was proposed：the residual energy release rate index WT，which is the ratio of the residual energy obtained by subtracting the post-peak dissipative energy density from the pre-peak elastic strain energy and the dynamic failure time represents the energy release in unit time when the coal-rock is impacted and damaged. This index is closely related to compressive strength Rc，bursting energy index KE，elastic energy index WET，and dynamic failure time DT. The evaluation interval of the residual energy release rate index WT was given：when WT≤0，the coal rock has no bursting liability；when 0＜WT≤14.5，the coal rock has a weak bursting liability；when WT＞14.5，the coal rock has a strong bursting liability. (5) The multi-sample method was used to verify the rationality of the proposed residual energy release rate index WT. This index was used to evaluate the bursting liability of coal seams in 8 mining areas，the results show that the evaluation accuracy of the residual energy release rate index WT is as high as 93.75%. The proposed new index to evaluate the bursting liability of coal rock has high accuracy and good rationality，which can reflect the actual bursting liability of coal and rock，and has good promotion and application value.

Key words： rock mechanics bursting liability coal-rock combined body elastic strain energy residual energy release rate rationality verification

引用本文:

陈光波1，2，李谭1，2，张国华3，李建伟1，刘刚3，贺永亮4，5，李元1. 基于剩余能量释放速率指数的煤岩组合体冲击倾向性判定[J]. 岩石力学与工程学报, 2023, 42(6): 1366-1383.
CHEN Guangbo1，2，LI Tan1，2，ZHANG Guohua3，LI Jianwei1，LIU Gang3，HE Yongliang4，5，LI Yuan1. Determination of bursting liability of coal-rock combined body#br# based on residual energy release rate index. , 2023, 42(6): 1366-1383.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.0882 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I6/1366

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