Abstract
The acoustic characteristics of the rock failure process can reflect the evolution of crack development and expansion. To study the evolution of different types of internal cracks during the rock failure process, the acoustic emission (AE) signal of the yellow sandstone under uniaxial compression was collected with AE monitoring technology, and the acoustic characteristics, crack types and evolution of the correlation dimension of the rock failure process were studied. The parameter analysis of RA (rise time/amplitude) and AF (counts/duration) for classifying different cracking modes during loading revealed that tensile cracks are dominated in the crack closure stage and linear elastic deformation stage, and the proportion of shear cracks increased in the plastic deformation stage and the post-peak failure stage. High-energy events were more widely distributed in the areas of shear cracks. The average AE energy of shear cracks is higher than that of tensile cracks, and the AE energy ratio for shear cracks and tensile cracks is within the range of 4.29–4.78. The correlation between stress and AE data was calculated using fractal theory methods and Grassberger–Procaccia (G–P) algorithms to study the evolution of different types of internal cracks. The correlation dimension displayed a stable stage, a descending stage and a fluctuating low value stage. The descending stage and the fluctuating low value stage appeared during the plastic deformation stage and the post-peak failure stage, respectively, indicating that the type of rock internal micro-crack changed greatly in the above two stages. The findings in this study contribute to better understanding of the rock failure mechanism.
Highlights
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The evolution of proportion of tensile and shear cracks during the rock failure process were analyzed.
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The average AE energy of shear cracks is higher than that of tensile cracks, and the AE energy ratio for within the range of 4.29–4.78.
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The evolution of the type of micro-cracks in rock failure process is analyzed by Grassberger–Procaccia (G–P) algorithms.
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Data availability
The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.
References
Akdag S, Karakus M, Nguyen GD, Taheri A (2020) Strain burst vulnerability criterion based on energy-release rate. Eng Fract Mech 237:107232. https://doi.org/10.1016/j.engfracmech.2020.107232
Aker E, Kühn D, Vavryčuk V, Soldal M, Oye V (2014) Experimental investigation of acoustic emissions and their moment tensors in rock during failure. Int J Rock Mech Min Sci 70:286–295. https://doi.org/10.1016/j.ijrmms.2014.05.003
Aldahdooh MAA, Muhamad Bunnori N (2013) Crack classification in reinforced concrete beams with varying thicknesses by mean of acoustic emission signal features. Constr Build Mater 45:282–288. https://doi.org/10.1016/j.conbuildmat.2013.03.090
Alkan H, Cinar Y, Pusch G (2007) Rock salt dilatancy boundary from combined acoustic emission and triaxial compression tests. Int J Rock Mech Min Sci 44:108–119. https://doi.org/10.1016/j.ijrmms.2006.05.003
Cai M, Kaiser PK, Tasaka Y, Maejima T, MoriokaMinami HM (2004) Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. Int J Rock Mech Min Sci 41:833–847
Carpinteri A, Corrado M, Lacidogna G (2012) Three different approaches for damage domain characterization in disordered materials: Fractal energy density, b-value statistics, renormalization group theory. Mech Mater 53:15–28. https://doi.org/10.1016/j.mechmat.2012.05.004
Damani A, Sondergeld CH, Rai CS (2018) Experimental investigation of in situ and injection fluid effect on hydraulic fracture mechanism using acoustic emission in Tennessee sandstone. J Pet Sci Eng 171:315–324. https://doi.org/10.1016/j.petrol.2018.07.027
Dong L, Zhang Y, Ma J (2020) Micro-crack mechanism in the fracture evolution of saturated granite and enlightenment to the precursors of instability. Sensors 20:4595. https://doi.org/10.3390/s20164595
Du K, Li X, Tao M, Wang S (2020) Experimental study on acoustic emission (AE) characteristics and crack classification during rock fracture in several basic lab tests. Int J Rock Mech Min Sci 133:104411. https://doi.org/10.1016/j.ijrmms.2020.104411
Du K, Li X, Wang S, Tao M, Li G, Wang S (2021) Compression-shear failure properties and acoustic emission (AE) characteristics of rocks in variable angle shear and direct shear tests. Measurement 183:109814. https://doi.org/10.1016/j.measurement.2021.109814
Gao G, Meguid MA (2021) On the role of joint roughness on the micromechanics of rock fracturing process: a numerical study. Acta Geotech. https://doi.org/10.1007/s11440-021-01401-8
Grassberger P, Procaccia I (1983) Characterization of strange attractors. Phys Rev Lett 50(5):346–349. https://doi.org/10.1103/PhysRevLett.50.346
Hall SA, de Sanctis F, Viggiani G (2006) Monitoring fracture propagation in a soft rock (Neapolitan Tuff) using acoustic emissions and digital images. Pure Appl Geophys 163:2171–2204. https://doi.org/10.1007/s00024-006-0117-z
Hao J, Qiao L, Li Q (2022) Study on cross-scale pores fractal characteristics of granite after high temperature and rock failure precursor under uniaxial compression. Powder Technol 401:117330. https://doi.org/10.1016/j.powtec.2022.117330
Huang Z, Gu Q, Wu Y, Wu Y, Li S, Zhao K, Zhang R (2021) Effects of confining pressure on acoustic emission and failure characteristics of sandstone. Int J Min Sci Technol 31:963–974. https://doi.org/10.1016/j.ijmst.2021.08.003
Khadivi B, Heidarpour A, Zhang Q, Masoumi H (2023) Characterizing the cracking process of various rock types under Brazilian loading based on coupled acoustic emission and high-speed imaging techniques. Int J Rock Mech Min Sci 168:105417. https://doi.org/10.1016/j.ijrmms.2023.105417
Kwiatek G, Charalampidou E-M, Dresen G, Stanchits S (2014) An improved method for seismic moment tensor inversion of acoustic emissions through assessment of sensor coupling and sensitivity to incidence angle. Int J Rock Mech Min Sci 65:153–161. https://doi.org/10.1016/j.ijrmms.2013.11.005
Li S, Yang D, Huang Z, Gu Q, Zhao K (2022) Acoustic emission characteristics and failure mode analysis of rock failure under complex stress state. Theor Appl Fract Mech 122:103666. https://doi.org/10.1016/j.tafmec.2022.103666
Main IG (1991) A modified Griffith criterion for the evolution of damage with a fractal distribution of crack lengths: application to seismic event rates and b-values. Geophys J Int 107:353–362. https://doi.org/10.1111/j.1365-246X.1991.tb00830.x
Mandelbrot BB (1977) Fractals: forms, chance and dimension. W. H. Freeman & Co Ltd, San Francisco
Martin CD, Chandler NA (1994) The progressive fracture of Lac Du bonnet granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659
Muñoz-Ibáñez A, Delgado-Martín J, Herbón-Penabad M, Alvarellos-Iglesias J (2021) Acoustic emission monitoring of mode I fracture toughness tests on sandstone rocks. J Petrol Sci Eng 205:108906. https://doi.org/10.1016/j.petrol.2021.108906
Ning L, Shicheng Z, Yushi Z, **nfang M, Shan W, Yinuo Z (2018) Experimental analysis of hydraulic fracture growth and acoustic emission response in a layered formation. Rock Mech Rock Eng 51:1047–1062. https://doi.org/10.1007/s00603-017-1383-z
Niu Y, Zhou X-P, Berto F (2020) Evaluation of fracture mode classification in flawed red sandstone under uniaxial compression. Theor Appl Fract Mech 107:102528. https://doi.org/10.1016/j.tafmec.2020.102528
Ohno K, Ohtsu M (2010) Crack classification in concrete based on acoustic emission. Constr Build Mater 24:2339–2346. https://doi.org/10.1016/j.conbuildmat.2010.05.004
Ohno K, Uji K, Ueno A, Ohtsu M (2014) Fracture process zone in notched concrete beam under three-point bending by acoustic emission. Constr Build Mater 67:139–145. https://doi.org/10.1016/j.conbuildmat.2014.05.012
Ohtsu M (1995) Acoustic emission theory for moment tensor analysis. Res Nondestr Eval 6:169–184. https://doi.org/10.1080/09349849509409555
Pan X-H, Lü Q (2018) A quantitative strain energy indicator for predicting the failure of laboratory-scale rock samples: application to shale rock. Rock Mech Rock Eng 51:2689–2707. https://doi.org/10.1007/s00603-018-1480-7
Pepe G, Mineo S, Pappalardo G, Cevasco A (2018) Relation between crack initiation-damage stress thresholds and failure strength of intact rock. Bull Eng Geol Environ 77:709–724. https://doi.org/10.1007/s10064-017-1172-7
Petružálek M, Jechumtálová Z, Šílený J, Kolář P, Svitek T, Lokajíček T, Turková I, Kotrlý M, Onysko R (2020) Application of the shear-tensile source model to acoustic emissions in Westerly granite. Int J Rock Mech Min Sci 128:104246. https://doi.org/10.1016/j.ijrmms.2020.104246
Ponomarev AV, Zavyalov AD, Smirnov VB, Lockner DA (1997) Physical modeling of the formation and evolution of seismically active fault zones. Tectonophysics 277:57–81. https://doi.org/10.1016/S0040-1951(97)00078-4
Saafan M, Ganat T (2021) Inferring capillary pressure curve from 2D rock images based on fractal theory in low-permeability sandstone: a new integrated approach. Fractals 29:2150149. https://doi.org/10.1142/S0218348X21501498
Shams G, Rivard P, Moradian O (2023) Micro-scale fracturing mechanisms in rocks during tensile failure. Rock Mech Rock Eng 56:4019–4041. https://doi.org/10.1007/s00603-023-03275-6
Shiotani T, Ohtsu M, Ikeda K (2001) Detection and evaluation of AE waves due to rock deformation. Constr Build Mater 15:235–246. https://doi.org/10.1016/S0950-0618(00)00073-8
Stanchits S, Mayr S, Shapiro S, Dresen G (2011) Fracturing of porous rock induced by fluid injection. Tectonophysics 503:129–145. https://doi.org/10.1016/j.tecto.2010.09.022
Stierle E, Vavryčuk V, Kwiatek G, Charalampidou E-M, Bohnhoff M (2016) Seismic moment tensors of acoustic emissions recorded during laboratory rock deformation experiments: sensitivity to attenuation and anisotropy. Geophys J Int 205:38–50. https://doi.org/10.1093/gji/ggw009
Sun H, Liu XL, Zhu JB (2019) Correlational fractal characterisation of stress and acoustic emission during coal and rock failure under multilevel dynamic loading. Int J Rock Mech Min Sci 117:1–10. https://doi.org/10.1016/j.ijrmms.2019.03.002
Tian Y, Yu R, Zhang Y (2020) Application of felicity effect in crack stress identification and quantitative damage assessment of limestone. Rock Mech Rock Eng 53:2907–2913. https://doi.org/10.1007/s00603-020-02062-x
Townend E, Thompson BD, Benson PM, Meredith PG, Baud P, Young RP (2008) Imaging compaction band propagation in Diemelstadt sandstone using acoustic emission locations. Geophys Res Lett 35:L15301. https://doi.org/10.1029/2008GL034723
Vardar O, Wei C, Zhang C, Canbulat I (2022) Numerical investigation of impacts of geological faults on coal burst proneness during roadway excavation. Bull Eng Geol Environ 81:2. https://doi.org/10.1007/s10064-021-02508-8
Wang H, Liu D, Cui Z, Cheng C, Jian Z (2016) Investigation of the fracture modes of red sandstone using XFEM and acoustic emissions. Theor Appl Fract Mech 85:283–293. https://doi.org/10.1016/j.tafmec.2016.03.012
Wang Y, Zhang B, Gao SH, Li CH (2021a) Investigation on the effect of freeze-thaw on fracture mode classification in marble subjected to multi-level cyclic loads. Theor Appl Fract Mech 111:102847. https://doi.org/10.1016/j.tafmec.2020.102847
Wang Y-Q, Peng K, Shang X-Y, Li L-P, Liu Z-P, Wu Y, Long K (2021b) Experimental and numerical simulation study of crack coalescence modes and microcrack propagation law of fissured sandstone under uniaxial compression. Theor Appl Fract Mech 115:103060. https://doi.org/10.1016/j.tafmec.2021.103060
**ao P, Li D, Zhao G, Liu H (2021) New criterion for the spalling failure of deep rock engineering based on energy release. Int J Rock Mech Min Sci 148:104943. https://doi.org/10.1016/j.ijrmms.2021.104943
**e H, Wang J-A, **e W-H (1997) Fractal effects of surface roughness on the mechanical behavior of rock joints. Chaos Solitons Fractals 8:221–252. https://doi.org/10.1016/S0960-0779(96)00050-1
**e HP, Liu JF, Ju Y, Li J, **e LZ (2011) Fractal property of spatial distribution of acoustic emissions during the failure process of bedded rock salt. Int J Rock Mech Min Sci 48:1344–1351. https://doi.org/10.1016/j.ijrmms.2011.09.014
Yang J, Mu Z-L, Yang S-Q (2020) Experimental study of acoustic emission multi-parameter information characterizing rock crack development. Eng Fract Mech 232:107045. https://doi.org/10.1016/j.engfracmech.2020.107045
Yokota Y, Zhao Z, Nie W, Date K, Iwano K, Koizumi Y, Okada Y (2020) Development of a new deformation-controlled rock bolt: numerical modelling and laboratory verification. Tunn Undergr Space Technol 98:103305. https://doi.org/10.1016/j.tust.2020.103305
Zhang R, Dai F, Gao MZ, Xu NW, Zhang CP (2015a) Fractal analysis of acoustic emission during uniaxial and triaxial loading of rock. Int J Rock Mech Min Sci 79:241–249. https://doi.org/10.1016/j.ijrmms.2015.08.020
Zhang Z, Zhang R, **e H, Liu J, Were P (2015b) Differences in the acoustic emission characteristics of rock salt compared with granite and marble during the damage evolution process. Environ Earth Sci 73:6987–6999. https://doi.org/10.1007/s12665-015-4406-7
Zhang SW, Shou KJ, **an XF, Zhou JP, Liu GJ (2018) Fractal characteristics and acoustic emission of anisotropic shale in Brazilian tests. Tunn Undergr Space Technol 71:298–308. https://doi.org/10.1016/j.tust.2017.08.031
Zhang Y, Feng X-T, Zhang X, Wang Z, Sharifzadeh M, Yang C (2019) A novel application of strain energy for fracturing process analysis of hard rock under true triaxial compression. Rock Mech Rock Eng 52:4257–4272. https://doi.org/10.1007/s00603-019-01868-8
Zhang R, Liu J, Sa Z, Wang Z, Lu S, Lv Z (2021a) Fractal characteristics of acoustic emission of gas-bearing coal subjected to true triaxial loading. Measurement 169:108349. https://doi.org/10.1016/j.measurement.2020.108349
Zhang Z, Li Y, Hu L, Tang C, Zheng H (2021b) Predicting rock failure with the critical slowing down theory. Eng Geol 280:105960. https://doi.org/10.1016/j.enggeo.2020.105960
Zhao K, Zhu Z, Zeng P, Chen S (2015) Experimental study on acoustic emission characteristics of phyllite specimens under uniaxial compression. J Eng Sci Technol Rev 8(3):53–60
Zhao K, Yang D, Zeng P, Huang Z, Wu W, Li B, Teng T (2021) Effect of water content on the failure pattern and acoustic emission characteristics of red sandstone. Int J Rock Mech Min Sci 142:104709. https://doi.org/10.1016/j.ijrmms.2021.104709
Zheng F, Zhuang X, Zheng H, Jiao Y-Y, Rabczuk T (2021) Discontinuous deformation analysis with distributed bond for the modelling of rock deformation and failure. Comput Geotech 139:104413. https://doi.org/10.1016/j.compgeo.2021.104413
Zhu J, Deng J, Chen F, Wang F (2022) Failure analysis of water-bearing rock under direct tension using acoustic emission. Eng Geol 299:106541. https://doi.org/10.1016/j.enggeo.2022.106541
Zuo R, Wang J (2016) Fractal/multifractal modeling of geochemical data: a review. J Geochem Explor 164:33–41. https://doi.org/10.1016/j.gexplo.2015.04.010
Acknowledgements
The authors would like to thank the National Natural Science Foundation of China (52274082, 41702326), the Jiangxi Provincial Natural Science Foundation (20202ACB214006), the Innovative Experts, Long-term Program of Jiangxi Province (jxsq2018106049), and the Supported by Program of Qingjiang Excellent Young Talents (JXUSTQJBJ2020003), Jiangxi University of Science and Technology.
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Li, S., Huang, Z., Yang, D. et al. Study of the Acoustic Characteristics and Evolution of the Failure Mode of Yellow Sandstone Under Uniaxial Compression. Rock Mech Rock Eng 57, 1059–1078 (2024). https://doi.org/10.1007/s00603-023-03637-0
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DOI: https://doi.org/10.1007/s00603-023-03637-0