Research on the relationship between energy dissipation and stress drop in uniaxial compression failure of coal samples
-
摘要: 相较于煤岩破坏能量耗散，更为直观的应力降对辅助研究煤岩破坏特征及地球物理信号变化规律具有一定的现实意义，应力降是能量耗散的宏观表现形式。目前对能量耗散和应力降的研究大多只是针对单方面的研究，未对两者之间的关系开展全面研究，两者之间的关系不明确，制约了应力降指标的应用。针对上述问题，采用YAW−600型微机控制电液伺服压力试验机对煤样进行单轴压缩实验，研究分析了煤样受载破坏全过程能量耗散指标和应力降指标的演化特征及两者之间的关系；基于理论分析，进一步研究了能量耗散指标与应力水平和应力降指标乘积的关系。研究结果表明：煤样单轴压缩破坏过程中能量耗散指标与应力降指标对煤样显著断裂都有较好的响应，且在数值上处于同一数量级，但两者不完全成比例；能量耗散速率与应力水平和应力降速率乘积呈线性关系，能量耗散量与应力水平和应力降乘积呈线性关系，拟合优度分别为1和0.997 5；相较于能量耗散指标，更为直观的应力水平和应力降指标乘积对煤样显著破坏更为敏感，且呈阵发特性。该研究结果明确了能量耗散与应力降的关系，为应力降指标的应用提供了一定的理论支撑，可用于深入研究煤岩破坏特征及声发射、电磁辐射、红外辐射等地球物理信号变化规律。Abstract: Compared with the energy dissipation of coal and rock failure, the more intuitive stress drop has certain practical significance for assisting the study of coal and rock failure characteristics and variation law of geophysical signals. And the stress drop is the macroscopic manifestation of energy dissipation. Most of the current research on energy dissipation and stress drop is only for one-sided research, without a comprehensive study on the relationship between the two. The relationship between the two is not clear, which restricts the application of the stress drop index. In order to solve the above problems, YAW−600 microcomputer controlled electro-hydraulic servo pressure testing machine is used to carry out uniaxial compression experiments on coal samples. The evolution characteristics of energy dissipation index and stress drop index in the whole process of coal sample failure under load and the relationship between them are studied and analyzed. Based on theoretical analysis, the relationship between energy dissipation index and the product of stress level and stress drop index is further studied. The results show that the energy dissipation index and stress drop index in the uniaxial compression failure process of coal sample have good response to the significant fracture of coal sample. And the indexes are in the same order of magnitude in numerical value, but they are not completely proportional. The energy dissipation rate is linearly related to the product of stress level and stress drop rate. And the energy dissipation is linearly related to the product of stress level and stress drop. The goodness of fit is 1 and 0.997 5 respectively. Compared with the energy dissipation index, the more intuitive product of stress level and stress drop index is more sensitive to the significant damage of coal samples, and has a burst characteristic. The research results clarify the relationship between energy dissipation and stress drop, and provide a certain theoretical support for the application of stress drop index. The relationship can be used for in-depth research on the coal rock failure characteristics and the variation law of geophysical signals such as acoustic emission, electromagnetic radiation and infrared radiation.
-
图 3 能量耗散速率和应力降速率随时间变化情况
Figure 3. Variation of energy dissipation rate and stress drop rate with time
图 5 累计能量耗散量和累计应力降随时间变化情况
Figure 5. Variation of cumulative energy dissipation and cumulative stress drop with time
图 4 能量耗散量和应力降随时间变化情况
Figure 4. Variation of energy dissipation and stress drop with time
图 6 式（11）第1项在能量耗散中的占比随能量耗散速率的变化情况
Figure 6. Variation of the proportion of the first term in equation 11 in energy dissipation with energy dissipation rate
图 7 能量耗散速率与应力降速率的关系
Figure 7. Relationship between energy dissipation rate and stress drop rate
图 9 能量耗散速率与σt/σp和应力降速率乘积的关系
Figure 9. Relationship between energy dissipation rate and product of σt/σp and stress drop rate
图 10 能量耗散量与σt/σp和应力降乘积的关系
Figure 10. Relationship between energy dissipation and product of σt/σp and stress drop
表 1 能量耗散与应力降指标线性拟合结果
Table 1. Linear fitting results of energy dissipation and stress drop index
试样编号 能量耗散速率与应力降速率 能量耗散量与
应力降拟合优度 斜率 拟合优度 斜率 G1 0.996 8 0.935 2 0.978 7 0.974 4 G2 0.958 7 1.298 0 0.829 9 0.734 1 G3 0.961 3 1.721 4 0.773 5 1.719 4 G4 0.996 7 1.628 2 0.998 6 2.322 4 G5 0.998 9 1.395 7 0.982 2 1.476 1 平均值 0.982 5 1.395 7 0.912 6 1.445 3 
下载: 导出CSV
表 2 能量耗散与σt/σp和应力降指标乘积的线性拟合结果
Table 2. Linear fitting results of energy dissipation and product of σt/σp and stress drop index
试样编号 能量耗散速率与σt/σp
和应力降速率乘积能量耗散量与σt/σp
和应力降乘积拟合优度 斜率 拟合优度 斜率 C1 1 0.832 6 0.998 8 0.814 1 C2 1 1.120 4 0.996 7 0.591 2 C3 1 1.634 7 0.993 9 1.550 4 C4 0.999 8 2.391 2 0.999 4 3.160 5 C5 1 2.720 2 0.998 7 2.510 8 平均值 1 1.739 8 0.997 5 1.725 4
下载: 导出CSV
-
[1] 李德行,王恩元,岳建华,等. 煤岩动力灾害预测的微电流技术及其应用研究[J]. 岩石力学与工程学报,2022,41(4):764-774.LI Dexing,WANG Enyuan,YUE Jianhua,et al. A weak current technique for coal and rock dynamic disaster prediction and its application[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(4):764-774. [2] 李忠辉,娄全,王恩元,等. 顶板岩石受压破坏过程中声电热效应研究[J]. 中国矿业大学学报,2016,45(6):1098-1103.LI Zhonghui,LOU Quan,WANG Enyuan,et al. Experimental study of acoustic-electric and thermal infrared characteristics of roof rock failure[J]. Journal of China University of Mining and Technology,2016,45(6):1098-1103. [3] 唐巨鹏,郝娜,潘一山,等. 基于声发射能量分析的煤与瓦斯突出前兆特征试验研究[J]. 岩石力学与工程学报,2021,40(1):31-42.TANG Jupeng,HAO Na,PAN Yishan,et al. Experimental study on precursor characteristics of coal and gas outbursts based on acoustic emission energy analysis[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(1):31-42. [4] 徐剑坤,习丹阳,余鑫. 煤单轴破坏同步声电场响应规律试验研究[J]. 煤矿安全,2019,50(10):54-57.XU Jiankun,XI Danyang,YU Xin. Experimental study on response law of synchronous acoustic emission and electromagnetic radiation field of coal uniaxial failure[J]. Safety in Coal Mines,2019,50(10):54-57. [5] 程富起,李忠辉,殷山,等. 预制裂纹煤样受载破坏的红外辐射特征研究[J]. 工矿自动化,2017,43(8):44-49.CHENG Fuqi,LI Zhonghui,YIN Shan,et al. Research on infrared radiation characteristics of pre-cracked coal sample under loaded breaking[J]. Industry and Mine Automation,2017,43(8):44-49. [6] LOU Quan,SONG Dazhao,HE Xueqiu,et al. Correlations between acoustic and electromagnetic emissions and stress drop induced by burst-prone coal and rock fracture[J]. Safety Science,2019,115(3):310-319. [7] PENG Ruidong,JU Yang,WANG Jianguo,et al. Energy dissipation and release during coal failure under conventional triaxial compression[J]. Rock Mechanics and Rock Engineering,2015,48:509-526. doi: 10.1007/s00603-014-0602-0 [8] 张广辉,欧阳振华,邓志刚,等. 循环加载下冲击倾向性煤能量耗散与损伤演化研究[J]. 煤炭科学技术,2017,45(2):59-64.ZHANG Guanghui,OUYANG Zhenhua,DENG Zhigang,et al. Study on energy dissipation and damage evolution of bump proneness coal under cyclic loading[J]. Coal Science and Technology,2017,45(2):59-64. [9] 王爱文,高乾书,潘一山,等. 预制钻孔煤样冲击倾向性及能量耗散规律[J]. 煤炭学报,2021,46(3):959-972.WANG Aiwen,GAO Qianshu,PAN Yishan,et al. Bursting liability and energy dissipation laws of prefabricated borehole coal samples[J]. Journal of China Coal Society,2021,46(3):959-972. [10] 王宁,李树刚,王世斌,等. 煤体破碎过程中分形特征与能量耗散规律研究[J]. 煤矿安全,2021,52(4):1-6.WANG Ning,LI Shugang,WANG Shibin,et al. Research on fractal characteristics and energy dissipation law in the process of coal fragmentation[J]. Safety in Coal Mines,2021,52(4):1-6. [11] FUKUI K,OKUBO S,TERASHIMA T. Electromagnetic radiation from rock during uniaxial compression testing:the effects of rock characteristics and test conditions[J]. Rock Mechanics and Rock Engineering,2005,38(5):411-423. doi: 10.1007/s00603-005-0046-7 [12] CARPINTERI A,LACIDOGNA G,BORLA O,et al. Electromagnetic and neutron emissions from brittle rocks failure:experimental evidence and geological implications[J]. Sadhana,2012,37(1):59-78. doi: 10.1007/s12046-012-0066-4 [13] XIE Heping,LI Liyun,PENG Ruidong,et al. Energy analysis and criteria for structural failure of rocks[J]. Journal of Rock Mechanics and Geotechnical Engineering,2009,1(1):11-20. doi: 10.3724/SP.J.1235.2009.00011 [14] FENG Junjun,WANG Enyuan,CHEN Xia,et al. Energy dissipation rate:an indicator of coal deformation and failure under static and dynamic compressive loads[J]. International Journal of Mining Science and Technology,2018,28(3):397-406. doi: 10.1016/j.ijmst.2017.11.006 -
点击查看大图
计量
- 文章访问数: 242
- HTML全文浏览量: 131
- PDF下载量: 13
- 被引次数: 0
