Evaluation index of bursting liability of coal based on energy transfer efficiency
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摘要: 冲击地压与煤体能量的积聚和释放密切相关，能量传递是评价冲击倾向性的关键参数之一。通过构建能量源扰动条件下的能量传递模型，关联冲击能量指数与弹性能量指数，提出能量释放比例φ，基于传递过程中的能量耗散模型提出了能量传递效率β，建立了包含2种参数的冲击倾向性评价方法。对煤矿11个煤层分层进行冲击倾向性鉴定试验，引用79个煤矿分层的冲击倾向性鉴定结果进行可靠性验证。结果表明：能量释放比例φ具有冲击地压边界条件的意义；能量传递效率β与泊松比具有负相关性，取值范围可以由模型边界条件推导获得；能量传递指数η的计算结果，与冲击倾向性鉴定的结果具有较高的一致性(88.61 %)，能够反映煤体的冲击倾向性，并且可以成为“*”结果的评价依据，是一种适用于现有冲击倾向性评价体系的有效指标。Abstract: The accumulation and release of energy in coal are closely linked to rock burst, with energy transfer being a key parameter for evaluating bursting liability. This study constructs an energy transfer model under energy source disturbance conditions, where we establish a relationship between impact energy index and elastic energy index, propose the proportion of energy φ, introduce the concept of energy transfer efficiency β based on an energy dissipation model during the transfer process, develop an evaluation method for bursting liability by multiplying two efficiency parameters η=βφ. We conducted experiments to identify bursting liability of 11 coal layers from 3 pairs of coal mines, whose reliability was verified by referencing results from 79 layered impact tendency identifications in other coal mines. Results show that 1)the proportion of energy release φ has boundary conditions with physical significance for ground pressure; 2)there is negative correlation between the efficiency β and Poisson's ratio which can model boundary conditions; 3)calculation results of the energy transfer index η show high consistency(88.61 %)with bursting liability identification results, reflecting the bursting liability of coal bodies. It can serve as a basis for evaluating "*" outcomes and is an effective indicator suitable for existing systems used to evaluate bursting liability.
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图 1 煤样应力应变曲线及宏观破坏结果
Figure 1. Failure evolution of coal under static and dynamic loading conditions
图 3 红庆梁煤矿微震监测分布演化规律
Figure 3. Evolution of microseismic monitoring distribution in Hongqingliang Coal Mine
图 5 能量释放比例与冲击能量指数弹性能量指数理论关系
Figure 5. Relationship between energy release proportion and impact energy index elastic energy index
表 1 煤动静载单轴压缩试验结果
Table 1. Static and dynamic load compression test results of coal
编号 冲击速度/
(m·s-1)高/mm 直径/mm 抗压强度/
MPaY1-2 0 100 50 7.87 DM1 4.25 25 50 28.66 DM2 5.62 25 50 30.24 DM3 7.07 25 50 34.41 DM4 8.84 25 50 37.82 
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表 2 试验测试结果及能量传递指数验证结果
Table 2. Test results and validation results of energy transfer index
煤层 DT/
msWET KE RC/
MPa泊松比ν φ β 能量传递指数η及结果 试验结果 综合结果 X煤矿3-1煤 338.4 13.54 3.19 16.05 0.342 0.62 0.66 0.408弱 * 弱 X煤矿3-2煤 408.8 13.00 4.01 22.53 0.318 0.68 0.68 0.460弱 * 弱 X煤矿4-3煤 431.2 10.34 2.25 14.90 0.296 0.47 0.69 0.323弱 * 弱 Y煤矿1煤 346.4 18.77 3.00 15.34 0.306 0.62 0.69 0.422弱 * 弱 Y煤矿2煤 340.8 28.91 4.13 16.33 0.316 0.72 0.68 0.492弱 * 弱 Y煤矿14煤 481.6 14.18 3.27 19.26 0.286 0.63 0.70 0.441弱 * 弱 Y煤矿15煤 284.8 31.95 3.87 14.68 0.345 0.71 0.66 0.468弱 * 弱 Z煤矿2煤上 144.8 20.57 4.08 14.28 0.312 0.71 0.68 0.484弱 * 弱 Z煤矿2煤下 181.6 24.65 3.17 15.09 0.292 0.65 0.70 0.452弱 * 弱 Z煤矿6煤 456 21.96 2.49 15.99 0.304 0.55 0.69 0.378弱 * 弱 Z煤矿7煤 701.6 21.15 2.72 16.04 0.310 0.59 0.68 0.403弱 弱 弱 注：“*”表示在《国标》附录A“冲击倾向性综合评判结果”中，推荐进一步进行综合判断的结果。
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