强岩爆倾向性岩石的自组织动力失稳机制

doi:10.13722/j.cnki.jrme.2023.1168

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (5808 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要为探究岩石的动力失稳机制，开展强岩爆倾向性岩石的单轴声发射试验，分析其应力–应变、声发射演化及宏细观破坏特征，结果表明岩石的动力失稳是其微结构系统逐渐形成一定几何形状的力学结构，继而力学结构突然崩溃的自组织行为，具有临界性、对称性破缺及塑性缺失等性质。将岩石的动力失稳过程划分为能量积蓄和能量爆发2个阶段，依据自组织的自催化–自阻化功能，考虑对称性破缺，分别建立能量积蓄和能量爆发的非线性动力学方程，并推导出相应的耗散能演化方程。引入二元介质理论，将岩石的破损视为弹脆性胶结元向弹塑性摩擦元转化，摩擦元满足莫尔–库仑(M-C)准则，依据能量积蓄过程的耗散能演化方程定义破损规律，建立岩石的二元介质模型，依据能量爆发阶段的耗散能演化方程定义损伤规律，建立岩石的损伤模型，实现所建模型在有限差分软件中的二次开发，并验证了其正确性。基于自组织理论，结合数值模拟，从能量角度和细观层面分析岩石的动力失稳机制，结果表明：理想均质岩石的微结构系统可在势能梯度作用下演化成“沙漏”形的中心对称力学结构，临界态时势能梯度面密集靠近对称中心的岩桥，且能量可在面内高速流动，岩桥极易破断，破断后可打破周边密集的势能梯度面，引发面内能量激烈释放，驱动岩石爆裂；真实岩石失稳过程中会产生对称性破缺的力学结构和破坏形态。研究成果可为岩柱、硐室围岩的岩爆危险性分析提供理论支撑和数值模拟手段。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	刘振洋1
	王爱文1
	2
	张庆伟3
	孔令海4
	刘晓林5

关键词 ：岩石力学, 强岩爆倾向性岩石, 自组织理论, 对称性破缺, 非线性动力学方程, 力学模型, 动力失稳机制

Abstract：In order to explore the dynamic instability mechanism of rocks，uniaxial acoustic emission tests on rocks with high rockburst proneness were carried out. The stress-strain，acoustic emission evolution，macro and meso failure characteristics were analyzed. The results indicate that the dynamic instability of rocks is a self-organizing behavior of their meso-structural systems gradually forming a certain shape of mechanical structure，and then the mechanical structure suddenly collapses，which has the properties of self-organized criticality，symmetry breaking and loss of plasticity. The dynamic instability process of rocks was divided into two stages：energy accumulation and energy explosion. Based on the self-catalysis self-inhibition mechanism of self-organizing systems，the nonlinear dynamic equations for energy accumulation and energy explosion considering symmetry breaking were established respectively，and the corresponding dissipative energy evolution equations were derived. The binary medium theory was introduced and the breakage of rocks was regarded as the transformation of elastic-brittle cementation elements to elastic-plastic friction elements. The friction elements follow the Mohr-Coulomb criterion. The breakage law was defined according to the dissipative energy evolution equation of the energy accumulation stage. A binary medium model for rocks was established. The damage law was defined according to the dissipative energy evolution equation of the energy explosion stage and a damage model for rocks was established. The mechanical models were embedded in the finite difference software and were verified as correct. Based on the self-organization theory and combined with the numerical simulation results，the dynamic instability mechanism of rocks was analyzed from the perspective of energy and meso-scopic level. The results show that the meso-structural systems of ideal homogeneous rocks can evolve intoa centrally symmetric mechanical structure in the shape of hourglass under the influence of potential energy gradients. At the critical state，the potential energy gradient surfaces are densely gathered toward the center of the mechanical structure and the energy can flow at high speed within the surface. The rock bridge located at the symmetrical center can be easily torn apart，which can break the potential energy gradient surfaces around it and trigger a intense release of the in-plane energy and rock burst. The mechanical structure and failure mode with symmetry breaking will occur during the instability process of real rocks. The research results can provide theoretical support and numerical simulation means for the dynamic instability analysis of rock pillars and tunnel surrounding rock.

Key words： rock mechanics high rockburst proneness rock self-organization theory symmetry breaking nonlinear dynamic equation mechanical model dynamic instability mechanism

引用本文:

刘振洋1，王爱文1，2，张庆伟3，孔令海4，刘晓林5. 强岩爆倾向性岩石的自组织动力失稳机制[J]. 岩石力学与工程学报, 2024, 43(9): 2225-2241.
LIU Zhenyang1，WANG Aiwen1，2，ZHANG Qingwei3，KONG Linghai4，LIU Xiaolin5. Self-organizing dynamic instability mechanism of rocks with high rockburst proneness. , 2024, 43(9): 2225-2241.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.1168 或 https://rockmech.whrsm.ac.cn/CN/Y2024/V43/I9/2225

[1]	冯夏庭，肖亚勋，丰光亮，等. 岩爆孕育过程研究[J]. 岩石力学与工程学报，2019，38(4)：649-673.(FENG Xiating，XIAO Yaxun，FENG Guangliang，et al. Study on the development process of rockbursts[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(4)：649-673.(in Chinese))
[2]	宫凤强，闫景一，李夕兵. 基于线性储能规律和剩余弹性能指数的岩爆倾向性判据[J]. 岩石力学与工程学报，2018，37(9)：1 993-2 014. (GONG Fengqiang，YAN Jingyi，LI Xibing. A new criterion of rock burst proneness based on the linear energy storage law and the residual elastic energy index[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(9)：1 993-2 014.(in Chinese))
[3]	秦四清，徐锡伟，胡平，等. 孕震断层的多锁固段脆性破裂机制与地震预测新方法的探索[J]. 地球物理学报，2010，53(4)：1 001-1 014.(QIN Siqing，XU Xiwei，HU Ping，et al. Brittle failure mechanism of multiple locked patches in seismogenic fault system and exploration on a new way for earthquake prediction[J]. Chinese Journal of Geophysics，2010，53(4)：1 001-1 014.(in Chinese))
[4]	谭以安. 岩爆形成机制研究[J]. 水文地质工程地质，1989，16(1)：34-38.(TAN Yian. The mechanism research of rockburst[J]. Hydrogeology and Engineering Geology，1989，16(1)：34-38.(in Chinese))
[5]	李德建，贾雪娜，苗金丽，等. 花岗岩岩爆试验碎屑分形特征分析[J]. 岩石力学与工程学报，2010，29(增1)：3 280-3 289.(LI Dejian，JIA Xuena，MIAO Jinli，et al. Analysis of fractal characteristics of fragment from rockburst test of granite[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.1)：3 280-3 289.(in Chinese))
[6]	吝曼卿，张兰，刘夕奇，等. 梯度应力作用下模型试件的岩爆破坏细观分析[J]. 岩土力学，2020，41(9)：2 984-2 992.(LIN Manqing，ZHANG Lan，LIU Xiqi，et al. Microscopic analysis of rockburst failure on specimens under gradient stress[J]. Rock and Soil Mechanics，2020，41(9)：2 984-2 992.(in Chinese))
[7]	王春来，廖泽锋，李长峰，等. 花岗岩岩爆声发射时空熵值动态特征实验研究[J]. 采矿与安全工程学报，2019，36(3)：626-633. (WANG Chunlai，LIAO Zefeng，LI Changfeng，et al. Experimental investigation of dynamic characteristics of AE spatio-temporal entropy for granitic rockburst[J]. Journal of Mining and Safety Engineering，2019，36(3)：626-633.(in Chinese))
[8]	孙冰，唐文福，曾晟，等. 基于自组织临界理论的岩石声发射能量与时间的统计分析[J]. 岩土力学，2022，43(9)：2 525-2 538. (SUN Bing，TANG Wenfu，ZENG Sheng，et al. Statistical analysis of rock acoustic emission energy and waiting time based on self-organized criticality theory[J]. Rock and Soil Mechanics，2022，43(9)：2 525-2 538.(in Chinese))
[9]	ANSEN G，CHENGZHI Q，RENLIANG S，et al. Identification and early warning method of key disaster-causing factors of AE signals for red sandstone by principal component analysis method[J]. Ain Shams Engineering Journal，2023，14(10)：102205.
[10]	朱星，刘汉香，胡桔维，等. 砂岩破坏声发射临界慢化前兆特征试验研究[J]. 岩土力学，2022，43(增1)：164-172.(ZHU Xing，LIU Hanxiang，HU Jiewei，et al. Experimental study on precursory characteristics of acoustic emission of sandstone failure based on critical slowing down[J]. Rock and Soil Mechanics，2022，43(Supp.1)：164-172.(in Chinese))
[11]	张后全，唐春安，贺永年，等. 岩石微破裂进程的自组织临界特征探讨[J]. 西北地震学报，2006，28(1)：1-5(ZHANG Houquan，TANG Chun?an，HE Yongnian，et al. Discussion on self-organized criticality in rock failure progress[J]. Northwestern Seismological Journal，2006，28(1)：1-5.(in Chinese))
[12]	吴顺川，周喻，高斌. 卸载岩爆试验及PFC3D数值模拟研究[J]. 岩石力学与工程学报，2010，29(增2)：4 082-4 088.(WU Shunchuan，ZHOU Yu，GAO Bin. Study of unloading tests of rock burst and PFC3D numerical simulation[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.2)：4 082-4 088.(in Chinese))
[13]	周雄，孟凡震，岳祝凤，等. 基于GDEM的结构面型岩爆孕育演化机制[J]. 煤炭学报，2023，48(5)：2 207-2 223.(ZHOU Xiong，MENG Fanzhen，YUE Zhufeng，et al. Evolution and mechanism of rockburst induced by structural plane based on GDEM[J]. Journal of China Coal Society，2023，48(5)：2 207-2 223.(in Chinese))
[14]	刘希亮，孙飞跃，郭佳奇，等. 深埋地下洞室局部让压效应及能量演化规律[J]. 应用力学学报，2023，40(1)：116-126.(LIU Xiliang，SUN Feiyue，GUO Jiaqi，et al. The rules of local yield effect and energy evolution of deep underground caverns[J]. Chinese Journal of Applied Mechanics，2023，40(1)：116-126.(in Chinese))
[15]	张超，杨期君，曹文贵. 考虑峰值后区应力跌落速率的脆岩损伤本构模型研究[J]. 岩土力学，2019，40(8)：3 099-3 106.(ZHANG Chao，YANG Qijun，CAO Wengui. Study of damage constitutive model of brittle rock considering post-peak stress dropping rate[J]. Rock and Soil Mechanics，2019，40(8)：3 099-3 106.(in Chinese))
[16]	李晓照，戚承志，邵珠山. 脆性岩石局部细观裂纹成核损伤突变机制研究[J]. 中国科学：技术科学，2021，51：480-492.(LI Xiaozhao，QI Chengzhi，SHAO Zhushan. Research on mechanisms of the damage catastrophe from localized microcrack nucleation in brittle rocks[J]. Scientia Sinica Technologica，2021，51：480-492.(in Chinese))
[17]	刘冬桥，王焯，张晓云. 岩石应变软化变形特性及损伤本构模型研究[J]. 岩土力学，2017，38(10)：2 901-2 908.(LIU Dongqiao，WANG Zhuo，ZHANG Xiaoyun. Characteristics of strain softening of rocks and its damage constitutive model[J]. Rock and Soil Mechanics，2017，38(10)：2 901-2 908.(in Chinese))
[18]	李盛南，肖俊，李玉，等. 基于细观裂纹扩展演化的岩石损伤本构模型研究[J]. 岩石力学与工程学报，2023，42(3)：640-648.(LI Shengnan，XIAO Jun，LI Yu，et al. A new damage constitutive model of rock considering microscopic crack growth[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(3)：640-648.(in Chinese))
[19]	LI N，ZOU Y S，ZHANG S C，et al. Rock brittleness evaluation based on energy dissipation under triaxial compression[J]. Journal of Petroleum Science and Engineering，2019，183：106349.
[20]	HUCKA V，DAS B. Brittleness determination of rocks by different methods[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1974，11(10)：389-392．
[21]	郑颖人，刘兴华. 近代非线性科学与岩石力学问题[J]. 岩土工程学报，1996，18(1)：98-100.(ZHENG Yingren，LIU Xinghua. Modern nonlinear science and rock mechanics problems[J]. Chinese Journal of Geotechnical Engineering，1996，18(1)：98-100.(in Chinese))
[22]	COOK N G W，HOEK E，PRETORIUS J P G，et al. Rock mechanics applied to the study of rockbursts[J]. Journal of the South African Institute of Mining and Metallurgy，1966，66(3)：435-528．
[23]	徐则民，吴培关，王苏达，等. 岩爆过程释放的能量分析[J]. 自然灾害学报，2003，12(3)：104-110.(XU Zemin，WU Peiguan，WANG Suda，et al. Analysis of energy released in process of rockburst[J]. Journal of Nature Disaster，2003，12(3)：104-110.(in Chinese))
[24]	周筑宝，唐松花. 基于最小耗能原理的岩石破坏理论与岩爆研究[M]. 北京：科学出版社，2017：59-94.(ZHOU Zhubao，TANG Songhua. Rock failure theory and rock burst research based on the principle of minimum energy consumption[M]. Beijing：Science Press，2017：59-94.(in Chinese))
[25]	谢和平，鞠杨，黎立云，等. 岩体变形破坏过程的能量机制[J]. 岩石力学与工程学报，2008，27(9)：1 729-1 740.(XIE Heping，JU Yang，LI Liyun，et al. Energy mechanism of deformation and failure of rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(9)：1 729-1 740.(in Chinese))
[26]	陈卫忠，吕森鹏，郭小红，等. 基于能量原理的卸围压试验与岩爆判据研究[J]. 岩石力学与工程学报，2009，28(8)：1 530-1 540. (CHEN Weizhong，LU Senpeng，GUO Xiaohong，et al. Research on unloading confining pressure tests and rockburst criterion based on energy theory[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(8)：1 530-1 540.(in Chinese))
[27]	张如九，张延杰，高仝，等. 基于最大能量耗散率的岩爆倾向性指标研究[J]. 岩石力学与工程学报，2023，42(12)：2 993-3 009. (ZHANG Rujiu， ZHANG Yanjie，GAO Tong，et al. A novel rockburst proneness index based on maximum energy dissipation rate[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(12)：2 993-3 009.(in Chinese))
[28]	向鹏，纪洪广，蔡美峰，等．抛掷型岩爆震源体能量动态释放机制与几何尺度特征[J]. 岩土力学，2018，39(2)：457-466.(XIANG Peng，JI Hongguang，CAI Meifeng，et al. Dynamic energy release mechanism and geometric scale feature of ejection rockburst source[J]. Rock and Soil Mechanics，2018，39(2)：457-466.(in Chinese))
[29]	LIU X S，NING J G，TAN Y L，et al. Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading[J]. International Journal of Rock Mechanics and Mining Sciences，2016，85：27-32.
[30]	孙梦成，徐卫亚，王苏生，等. 基于最小耗能原理的岩石损伤本构模型研究[J]. 中南大学学报：自然科学版，2018，49(8)：2 067-2 075. (SUN Mengcheng，XU Weiya，WANG Susheng，et al. Study on damage constitutive model of rock based on principle of minimum dissipative energy[J]. Journal of Central South University：Science and Technology，2018，49(8)：2 067-2 075.(in Chinese))
[31]	刘振洋，王爱文，刘晓林，等. 基于能量耗散机制的岩石二元介质模型[J/OL].工程力学，http：//kns.cnki.net/kcms/detail/11.2595.O3. 20230811.0931.002.html.(LIU Zhenyang，WANG Aiwen，LIU Xiaolin，et al. Rock binary medium model based on energy dissipation mechanism[J/OL]. Engineering Mechanics. http：//kns. cnki.net/kcms/ detail/11.2595.O3.20230811.0931.002.html.(in Chinese))
[32]	BAK P，TANG C，WIESENFELD K. Self-organized criticality：An explanation of the 1/f noise[J]. Physical Review Letters，1987，59：381-384.
[33]	申维. 耗散结构、自组织、突变理论与地球科学[M]. 北京：地质出版社，2008：56-63.(SHEN Wei. Dissipative structure，self-organization，catastrophe theory and earth science[M]. Beijing：Geology Press，2008：56-63.(in Chinese))
[34]	中华人民共和国行业标准编写组. DZ /T 0276. 19—2015 岩石物理力学性质试验规程[S]. 北京：中国标准出版社，2015.(The Professional Standards Compilation Group of People?s Republic of China. DZ/T 0276. 19—2015 Regulation for testing the physical and mechanical properties of rock[S]. Beijing：Standards Press of China，2015.(in Chinese))
[35]	沈珠江. 岩土破损力学：理想脆弹性塑性模型[J]. 岩土工程学报，2003，25(3)：253-257.(SHEN Zhujiang. Breakage mechanics for geological materials：an ideal brittle-elastic-plastic model[J]. Chinese Journal of Geotechnical Engineering，2003，25(3)：253-257.(in Chinese))
[36]	黄筑平. 连续介质力学基础[M]. 2版. 北京：高等教育出版社，2012：83-121.(HUANG Zhuping. Fundamentals of continuum mechanics[M]. 2nd ed. Beijing：Higher Education Press，2012：83-121.(in Chinese))
[37]	谢和平，高峰，周宏伟，等. 岩石断裂和破碎的分形研究[J]. 防灾减灾工程学报，2003，(4)：1-9.(XIE Heping，GAO Feng，ZHOU Hongwei，et al. Fractal study on rock fracture and fracture[J]. Journal of Disaster Prevention and Mitigation Engineering，2003，(4)：1-9.(in Chinese))