Numerical modeling of acoustic emission during rock failure process using a Voronoi element based – explicit numerical manifold method

Abstract In this study, a two-dimensional Voronoi element based – explicit numerical manifold method (VE-ENMM) is developed as a new approach to investigate the acoustic emission characteristics during the failure process of intact rocks. The micro-granular structures of the intact rocks are approximated by the random Voronoi polygons and the interactions among rock grains are interpreted using a modified interface contact model. A new acoustic emission (AE) monitoring technique considering the clustering effect of micro-cracks is developed based on the explicit time integration scheme of numerical manifold method. With the newly developed approach, a series of numerical simulations are carried out. Firstly, numerical uniaxial compressive and Brazilian tests are conducted to validate the new approach on simulating micro-/macro-mechanical behaviors of granite samples. After that, the acoustic event properties, such as time evolution, spatial clustering and frequency-magnitude distribution of AE events during the failure process under uniaxial compression are studied in details. Simulation results show that the development of acoustic emissions is in good consistence with the damage evolution process of the numerical model, which may help to reveal the micro-fracturing mechanism of intact rocks in terms of seismic energy dissipation. To further illustrate the capability of the developed approach in monitoring the failure process as well as failure characteristics during TBM tunnel excavation, an additional numerical simulation is conducted and the fracturing behaviors as well as the related AE properties of the surrounding rock mass during TBM tunnelling are investigated.

[1]  Xia-Ting Feng,et al.  Evolution of fractures in the excavation damaged zone of a deeply buried tunnel during TBM construction , 2012 .

[2]  Charles F. Richter,et al.  Earthquake magnitude, intensity, energy, and acceleration , 1942 .

[3]  C. Derek Martin,et al.  Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading , 2010 .

[4]  Louis Ngai Yuen Wong,et al.  Application of the numerical manifold method to model progressive failure in rock slopes , 2014 .

[5]  Tomofumi Koyama,et al.  Effects of model scale and particle size on micro-mechanical properties and failure processes of rocks—A particle mechanics approach , 2007 .

[6]  T. Kazerani,et al.  A Discrete Element Model for Predicting Shear Strength and Degradation of Rock Joint by Using Compressive and Tensile Test Data , 2011, Rock Mechanics and Rock Engineering.

[7]  Qinya Liu,et al.  Influence of in situ stress variations on acoustic emissions: a numerical study , 2015 .

[8]  G. Ma,et al.  An explicit time integration scheme of numerical manifold method , 2014 .

[9]  O. K. Mahabadi,et al.  Numerical simulation of acoustic emission in brittle rocks by two-dimensional finite-discrete element analysis , 2013 .

[10]  Ferri P. Hassani,et al.  Crack Development and Acoustic Emission in Potash Rock , 1993 .

[11]  Cun Zhang,et al.  Discrete element modeling of progressive failure in a wide coal roadway from water-rich roofs , 2016 .

[12]  D. Amitrano.  Brittle‐ductile transition and associated seismicity: Experimental and numerical studies and relationship with the b value , 2003 .

[13]  Qinghui Jiang,et al.  A modified numerical manifold method for simulation of finite deformation problem , 2017 .

[14]  R. Young,et al.  A laboratory acoustic emission experiment under in situ conditions , 2014 .

[15]  Qiang Du,et al.  MESH OPTIMIZATION BASED ON THE CENTROIDAL VORONOI TESSELLATION , 2006 .

[16]  Romain Quey,et al.  3D random Voronoi grain-based models for simulation of brittle rock damage and fabric-guided micro-fracturing , 2014 .

[17]  B. Gutenberg,et al.  The energy of earthquakes , 1956, Quarterly Journal of the Geological Society of London.

[18]  Yang Wang,et al.  Efficiency and Accuracy Verification of the Explicit Numerical Manifold Method for Dynamic Problems , 2015, Rock Mechanics and Rock Engineering.

[19]  D. F. Malan,et al.  Computer modelling of granular material microfracturing , 1995 .

[20]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[21]  Ming Cai,et al.  Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations , 2004 .

[22]  R. P. Young,et al.  Simulating acoustic emissions in bonded-particle models of rock , 2000 .

[23]  R. Paul Young,et al.  Micromechanical modeling of cracking and failure in brittle rocks , 2000 .

[24]  R. P. Young,et al.  Dynamic modelling of induced seismicity , 2004 .

[25]  D. Lockner,et al.  Quasi-static fault growth and shear fracture energy in granite , 1991, Nature.

[26]  J. P. Harrison,et al.  Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions , 2002 .

[27]  Soo-Ho Chang,et al.  Estimation of cracking and damage mechanisms in rock under triaxial compression by moment tensor analysis of acoustic emission , 2004 .

[28]  Richard E. Goodman,et al.  Two dimensional discontinuous deformation analysis , 1985 .

[29]  S. D. Butt,et al.  Evaluation of acoustic attenuation as an indicator of roof stability in advancing headings , 2000 .

[30]  L. Wong,et al.  Investigating the effects of micro-defects on the dynamic properties of rock using Numerical Manifold method , 2014 .

[31]  Xibing Li,et al.  Influence of stress path on excavation unloading response , 2014 .

[32]  R. P. Young,et al.  Moment tensors and micromechanical models , 2002 .

[33]  Qianbing Zhang,et al.  Quasi-static and dynamic fracture behaviour of rock materials: phenomena and mechanisms , 2014, International Journal of Fracture.

[34]  Hiroshi Morioka,et al.  FLAC/PFC coupled numerical simulation of AE in large-scale underground excavations , 2007 .

[35]  Giovanni Grasselli,et al.  Fracture development around deep underground excavations: Insights from FDEM modelling , 2014 .

[36]  N. A. Chandler,et al.  The progressive fracture of Lac du Bonnet granite , 1994 .

[37]  C. Scholz.  The Mechanics of Earthquakes and Faulting , 1990 .

[38]  P. Ranjith,et al.  Characterisation of fractured rocks under uniaxial loading states , 2004 .

[39]  P. Cundall,et al.  A bonded-particle model for rock , 2004 .

[40]  M. He,et al.  Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions , 2010 .

[41]  Guowei Ma,et al.  An improved numerical manifold method incorporating hybrid crack element for crack propagation simulation , 2016, International Journal of Fracture.

[42]  Qinghui Jiang,et al.  Numerical simulation of damage and failure in brittle rocks using a modified rigid block spring method , 2015 .

[43]  Hui Zhou,et al.  Simulation of the rock microfracturing process under uniaxial compression using an elasto-plastic cellular automaton , 2006 .

[44]  L. Wong,et al.  Transgranular Crack Nucleation in Carrara Marble of Brittle Failure , 2016, Rock Mechanics and Rock Engineering.

[45]  Xinglin Lei,et al.  Detailed analysis of acoustic emission activity during catastrophic fracture of faults in rock , 2004 .

[46]  Jiannong Fang,et al.  A 3D distinct lattice spring model for elasticity and dynamic failure , 2011 .

[47]  L. Menegon,et al.  Dissolution-precipitation creep of K-feldspar in mid-crustal granite mylonites , 2008 .

[48]  Hiroshi Morioka,et al.  Evaluation of loosened zones on excavation of a large underground rock cavern and application of observational construction techniques , 2003 .

[49]  Qiuming Gong,et al.  Tunnelling through a frequently changing and mixed ground : a case history in Singapore , 2007 .

[50]  Christian U. Grosse,et al.  Improvements of AE technique using wavelet algorithms, coherence functions and automatic data analysis , 2003 .

[51]  R. Chalaturnyk,et al.  Damage quantification of intact rocks using acoustic emission energies recorded during uniaxial compression test and discrete element modeling , 2015 .

[52]  Jian Zhao,et al.  A Review of Dynamic Experimental Techniques and Mechanical Behaviour of Rock Materials , 2014, Rock Mechanics and Rock Engineering.

[53]  Doug Stead,et al.  Numerical Simulation of Squeezing Failure in a Coal Mine Roadway due to Mining-Induced Stresses , 2015, Rock Mechanics and Rock Engineering.

[54]  Louis Ngai Yuen Wong,et al.  Frictional crack initiation and propagation analysis using the numerical manifold method , 2012 .

[55]  Giovanni Grasselli,et al.  Continuum–discontinuum analysis of failure mechanisms around unsupported circular excavations in anisotropic clay shales , 2014 .

[56]  R. P. Young,et al.  Progressive microcrack development in tests in Lac du Bonnet granite—I. Acoustic emission source location and velocity measurements , 1995 .

[57]  C. Tang,et al.  Numerical simulation of progressive rock failure and associated seismicity , 1997 .

[58]  A. Baghbanan,et al.  Investigation of Grain Size Effects on Micro/Macro-Mechanical Properties of Intact Rock Using Voronoi Element—Discrete Element Method Approach , 2013 .

[59]  Y. Gui,et al.  An application of a cohesive fracture model combining compression, tension and shear in soft rocks , 2015 .

[60]  H. Alkan,et al.  Rock salt dilatancy boundary from combined acoustic emission and triaxial compression tests , 2007 .

[61]  N. Chandler,et al.  Excavation-induced damage studies at the Underground Research Laboratory , 2004 .

[62]  C. Martin,et al.  A clumped particle model for rock , 2007 .

[63]  G. Ma,et al.  Micro-mechanical modeling of the macro-mechanical response and fracture behavior of rock using the numerical manifold method , 2017 .

[64]  Guowei Ma,et al.  Modeling complex crack problems using the numerical manifold method , 2009 .

[65]  M. Ohtsu,et al.  Quantitative damage estimation of concrete by acoustic emission , 2001 .

[66]  Hong Zheng,et al.  New strategies for some issues of numerical manifold method in simulation of crack propagation , 2014 .

[67]  D. Lockner.  The role of acoustic emission in the study of rock fracture , 1993 .

[68]  Guowei Ma,et al.  Numerical analysis of 2-D crack propagation problems using the numerical manifold method , 2010 .

[69]  R. Paul Young,et al.  Acoustic emission and ultrasonic-velocity methods used to characterise the excavation disturbance associated with deep tunnels in hard rock , 1998 .

[70]  Qianbing Zhang,et al.  Displacement measurement techniques and numerical verification in 3D geomechanical model tests of an underground cavern group , 2016 .

[71]  A. G. Corkum,et al.  Modelling a mine-by test at the Mont Terri rock laboratory, Switzerland , 2007 .