页岩单轴压缩破坏过程中声发射能量分布的统计分析

doi:10.13722/j.cnki.jrme.2015.0699

摘要
图/表
参考文献(25)
相关文章 (15)

全文: PDF (1537 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要脆性岩石受载荷作用发生破裂的过程其能量释放具有临界性，为了更加清楚了解脆性岩石破坏过程及能量变化规律，对页岩进行单轴状态下的压缩试验，加载速率分别为0.01，0.1，0.5 mm/min。在加载过程中同步采集全过程声发射参数，计算绝对能量的概率密度函数并采用最大似然估计法计算表征概率密度函数的临界指数。结果表明：(1) 每个加载速率下的能量概率密度函数在7个数量级范围符合幂定律分布。(2) 最大似然估计得到的临界指数r具有一个最优的平坦稳定范围，能准确表征能量分布的幂定律。(3) 子时间区间与全过程区间具有相同的临界指数r，因此可以通过试验前期的声发射情况了解破裂和破裂中能量释放的状态。

	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
	姜德义
	谢凯楠
	蒋翔
	陈结
	袁曦

关键词 ：岩石力学, 页岩, 单轴压缩, 声发射, 能量, 最大似然

Abstract：The energy release of brittle rocks failure under loading is critical process. In order to have a more clear understanding about the brittle rocks failure process and the rule of energy release，shale under uniaxial compression test has been carried in laboratory，and the loading rates were 0.01，0.1，0.5 mm/min respectively. During the whole loading process, acoustic emission(AE) parameters have been collected，and the probability density function(PDF) of absolute AE energy was calculated. PDFs critical exponents were estimated by the maximum likelihood estimation method. The results showed：(1) The PDF of absolute AE energy under different loading rate in seven orders of magnitude ranges conformed to the power law distribution. (2) The critical exponent r calculated by the maximum likelihood estimates method had an optimal range of stability，which characterized the power law distribution accurately. (3) The critical exponents of one span and the whole process were similar with each other，which allowed one use the AE information in the preliminary stage to study the energy release during final collapse.

Key words： rock mechanics shale uniaxial compression acoustic emission energy maximum likelihood

引用本文:

姜德义，谢凯楠，蒋翔，陈结，袁曦. 页岩单轴压缩破坏过程中声发射能量分布的统计分析[J]. 岩石力学与工程学报, 2016, 35(S2): 3822-3828.
JIANG Deyi，XIE Kainan，JIANG Xiang，CHEN Jie，YUAN Xi. Statistical analysis of acoustic emission energy distribution during uniaxial compression of shale. , 2016, 35(S2): 3822-3828.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2015.0699 或 https://rockmech.whrsm.ac.cn/CN/Y2016/V35/IS2/3822

[1] LIU P S. Failure mode of isotropic three-dimensional reticulated porous materials under various compressive loads[J]. Philosophical Magazine Letters，2010，90(12)：861–874.

[2] GIRARD L，WEISS J，AMITRANO D. Damage-Cluster distributions and size effect on strength in compressive failure[J]. Physical Review Letters，2012，108(22)：225502(1)–225502(5).

[3] MORENO Y，GÓMEZ J B，PACHECO A F. Fracture and second-order phase transitions[J]. Physical Review Letters，2000，85(14)：2 865(1)– 2 865(4).

[4] BAR´O J，VIVES E. Analysis of power-law exponents bymaximum- likelihood maps[J]. Physical Review E，2012，85(6)：066 121(1)–066 121(13).

[5] SETHNA J P，DAHMEN K A，MYERS C R. Crackling noise[J]. Nature，2001，6 825(410)：242–250.

[6] WHITE R A，DAHMEN K A. Driving rate effects on crackling noise[J]. Physical Review Letters，2003，91(8)：085702(1)–085702(4).

[7] DURIN G，ZAPPERI S. The science of hysteresis[M]. [S. l.]：[s. n.]，2006：181–267.

[8] VIVES E，ORTÍN J，MAÑOSA L，et al. Distributions of avalanches in martensitic transformations[J]. Physical Review Letters，1994，72(11)：1694(1)–1694(4).

[9] GALLARDO M C，MANCHADO J，ROMERO F J，et al. Avalanche criticality in the martensitic transition of Cu_67.64Zn_16.71Al_15.65 shape- memory alloy：A calorimetric and acoustic emission study[J]. Physical Review B，2010，81(17)：174102(1)–174102(8).

[10] WEISS J，RICHETON T，LOUCHET F，et al. Evidence for universal intermittent crystal plasticity from acoustic emission and high-resolution extensometry experiments[J]. Physical Review B，2007，76(22)：224110(1)–224110(8).

[11] SALJE E K H，DING X，ZHAO Z，et al. Thermally activated avalanches：Jamming and the progression of needle domains[J]. Physical Review B，2011，83(10)：104109(1)–104109(8).

[12] DAHMEN K，SETHNA J P. Hysteresis，avalanches，and disorder- induced critical scaling：A renormalization-group approach[J]. Physical Review B，1996，53(22)：14872(1)–14872(34).

[13] DAHMEN K A，BEN-ZION Y，UHL J T. Micromechanical model for deformation in solids with universal predictions for stress-strain curves and slip avalanches[J]. Physical Review Letters，2009，102(17)：175501(1)–175501(4).

[14] FRIEDMAN N，JENNINGS A T，TSEKENIS G，et al. Statistics of dislocation slip avalanches in nanosized single crystals show tuned critical behavior predicted by a simple mean field model[J]. Physical Review Letters，2012，109(9)：095507(1)–095507(5).

[15] SALJE E K H，DAHMEN K A. Crackling noise in disordered materials[J]. Annual Review of Condensed Matter Physics，2014，(5)：233–254.

[16] GOLDSTEIN M L，MORRIS S A，YEN G G. Problems with fitting to the power-law distribution[J]. The European Physical Journal B，2004，41(2)：255–258.

[17] BAUKE H. Parameter estimation for power-law distributions by maximum likelihood methods[J]. The European Physical Journal B，2007，58(2)：167–173.

[18] CLAUSET A，SHALIZI C R，NEWMAN M E J. Power-law distributions in empirical data[J]. Society for Industrial and Applied Mathematics，2009，51(4)：661–703.

[19] 李庶林，尹贤刚，王泳嘉，等. 单轴受压岩石破坏全过程声发射特征研究[J]. 岩石力学与工程学报，2004，23(15)：2 499–2 503.(LI Shulin，YIN Xiangang，WANG Yongjia，et al. Studies on acoustic emission characteristics of uniaxial compressive rock failure[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(15)：2 499–2 503.(in Chinese))

[20] 赵奎，王更峰，王晓军，等. 岩石声发射Kaiser点信号频带能量分布和分形特征研究[J]. 岩体力学，2008，29(11)：3 082–3 088. (ZHAO Kui，WANG Gengfeng，WANG Xiaojun，et al. Research on energy distributions and fractal characteristics of Kaiser signal of acoustic emission in rock[J]. Rock and Soil Mechanics，2008，29(11)：3 082–3 088.(in Chinese))

[21] 姜永东，鲜学福，尹光志，等. 岩石应力应变全过程的声发射及分形与混沌特征[J]. 岩体力学，2010，31(8)：2 413–2 418.(JIANG Yongdong，XIAN Xuefu，YIN Guangzhi，et al. Acoustic emission，fractal and chaos characters in rock stress-strain procedure[J]. Rock and Soil Mechanics，2010，31(8)：3 082–3 088.(in Chinese))

[22] 苏承东，高保彬，南华，等. 不同应力路径下煤样变形破坏过程声发射特征的试验研究[J]. 岩石力学与工程学报，2009，28(4)：758–766.(SU Chengdong，GAO Baobin，NAN Hua，et al. Experimental study on acoustic emission characteristics during deformation and failure processes of coal samples under different stress paths[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(4)：758–766.(in Chinese))

[23] 李元辉，刘建坡，赵兴东，等. 岩石破裂过程中的声发射b值及分形特征研究[J]. 岩土力学，2009，30(9)：2 559–2 563.(LI Yuanhui，LIU Jianpo，ZHAO Xingdong，et al. Study on b-value and fractal dimension of acoustic emission during rock failure process[J]. Rock and Soil Mechanics，30(9)：2 559–2 563.(in Chinese))

[24] SALJEA E K H，DANIEL E S P，ANTONI P，et al. Failure mechanism in porous materials under compression：crackling noise in mesoporous SiO₂[J]. Philosophical Magazine Letters，2011，91(8)：554–560.

[25] CASTILLO-VILLA P O，BARÓ J，PLANES A，et al. Crackling noise during failure of alumina under compression： the effect of porosity[J]. Journal of Physics：Condensed Matter，2013，29(25)：292202(1)–292202(9).