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Mechanical Behavior and Fracture Evolution Mechanism of Composite Rock Under Triaxial Compression: Insights from Three-Dimensional DEM Modeling

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Abstract

Existing studies on transversely isotropic rock formations, a special geology, have mainly focused on its mechanical characteristics; whereas, investigations on its fracture process and damage microscopic mechanisms are relatively limited. To remedy this deficiency, in this study, a three-dimensional numerical model is established using discrete elements (PFC3D), focusing on the effects of confining pressure (0, 5, 10, 15, and 20 MPa) and laminar inclination angle (θ, θ15°, θ30°, θ45°, θ60°, θ75°, and θ90°) on the failure behavior of the composite rock. To demonstrate the accuracy of the simulations, the stress–strain curves and ultimate failure modes obtained from the numerical simulations were compared with the previous laboratory mechanical test results and X-ray CT images. Numerical models using the smooth-joint contact model were shown to simulate the laboratory results reasonably well. Numerical simulation results indicate that the confining pressure and laminar angle significantly influence the internal crack evolution patterns of the specimen. The internal cracks change from a concentrated to a discrete distribution as the confining pressure increases. The internal cracks of specimens with θ and θ90° laminar inclination emerges from the soft rock and eventually extends to the hard rock, while the inclined specimens crack from the laminar face and finally spread to the rock matrix, which can be explained by the graph of the increasing number of cracks. In addition, the internal principal stress and tangential stress in soft and hard rocks were monitored by arranging measurement circles, and it was found that the tangential stresses are the essential cause of the difference between the mechanical behavior of the two rock types.

Highlights

  • The complicated three-dimensional discrete element transversely models captured the prospective mechanical behavior and cracking characteristic

  • The failure patterns and crack coalescence process are characterized by various confining pressure and bedding inclination angles

  • The difference behavior between the soft and hard rock matrix is dependent on the confining pressure and internal tangential stress

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Data availability

The data used to support the findings of this study are available from the corresponding author upon request.

References

  • Ademović N, Kurtović A (2021) Influence of planes of anisotropy on physical and mechanical properties of freshwater limestone (mudstone). Constr Build Mater 268:121174

    Google Scholar 

  • Cao WK, Liu W (2022) The wellbore stability study in bedding shale formation the condition of plasticity. Chem Technol Fuels Oils 58:220–231

    Google Scholar 

  • Chen DH, Chen H, Zhang W (2022) An analytical solution of equivalent elastic modulus considering confining stress and its variables sensitivity analysis for fractured rock masses. J Rock Mech Geotech Eng 14:825–836

    Google Scholar 

  • Cheng JL, Yang SQ, Chen K (2017) Uniaxial experimental study of the acoustic emission and deformation behavior of composite rock based on 3D digital image correlation (DIC). Acta Mech Sin 33(6):999–1021

    Google Scholar 

  • Cheng JL, Yang SQ, Yin PF (2018) Experimental study of the deformation and strength behavior of composite rock specimens in unloading confining pressure test. J China Univ Min Technol 47:6

    Google Scholar 

  • Cheng JL, Luo S, Li JB (2020) Triaxial loading test of strength behavior and failure mechanism of composite rock. J Min Safety Eng 37:6

    Google Scholar 

  • Chiu CC, Wang TT, Weng MC (2013) Modeling the anisotropic behavior of jointed rock mass using a modified smooth-joint model. Int J Rock Mech Min Sci 62:14–22

    Google Scholar 

  • Cho JW, Kim H, Jeon S (2012) Deformation and strength anisotropy of Asan geniss, Boryeong ahale, and Yeoncheon schist. Int J Rock Mech Min Sci 50:158–169

    Google Scholar 

  • Deng PH, Liu QS, Huang X (2022) FDEM numerical modeling of failure mechanisms of anisotropic rock masses around deep tunnels. Comput Geotech 142:104535

    Google Scholar 

  • Ding XB, Zhang LY, Zhu HH (2014) Effect of model scale and particle size distribution on PFC3D simulation results. Rock Mech Rock Eng 47:2139–2156

    Google Scholar 

  • Dobróka M, Szabó NP, Dobróka TE (2022) Multi-exponential model to describe pressure-dependent P- and S-wave velocities and its use to estimate the crack aspect ratio. J Rock Mech Geotech Eng 14:385–395

    Google Scholar 

  • Dong ZJ, Yang SQ, Sun BW (2022) Three-dimensional grain-based model study on triaxial mechanical behavior and fracturing mechanism of granite containing a single fissure. Theoret Appl Fract Mech 122:103602

    Google Scholar 

  • Duan K, Kwok CY (2016) Evolution of Stress-induced borehole breakout in inherently anisotropic rock: insights from discrete element modeling. J Geophys Res 121:2361–2381

    Google Scholar 

  • Duan K, Kwok CY, Pierce M (2016) Discrete element method modeling of inherently anisotropic rocks under uniaxial compression loading. Int J Numer Anal Meth Geomech 40:1150–1183

    Google Scholar 

  • Ghazvinian A, Vaneghi RG, Hadei MR (2013) Shear behavior of inherently anisotropic rocks. Int J Rock Mech Min Sci 61:96–110

    Google Scholar 

  • He JM, Afolagboye LO (2018) Influence of layered orientation and interlayer bonding force on the mechanical behavior of shale under Brazilian test conditions. Acta Mechanica Sinca 34(2):349–358

    Google Scholar 

  • He R, Ren L, Zhang R (2022) Anisotropy characterization of the elasticity and energy flow of Longmaxi shale under uniaxial compression. Energy Rep 8:1410–1424

    Google Scholar 

  • Hill R (1950) The mathematical theory of plasticity. Oxford University Press, Oxford

    Google Scholar 

  • Ivars DM, Pierce ME, Darcel C (2011) The synthetic rock mass approach for jointed rock mass modeling. Int J of Rock Mech Min Sci 48:219–24

    Google Scholar 

  • Jeager JC (1960) Shear failure of transversely isotropic rock. Geol Mag 97:65–72

    Google Scholar 

  • Jiang MJ, Yan HB, Zhu HH (2011) Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses. Comput Geotech 38:14–29

    Google Scholar 

  • Lee H, Jeon S (2011) An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression. Int J Solids Struct 48:979–999

    Google Scholar 

  • Liu LW, Li HB, Chen SH (2021) Effects of bedding planes on mechanical characteristics and crack evolution of rocks containing a single pre-existing flaw. Eng Geol 293:106325

    Google Scholar 

  • Mehranpour MH, Kulatilake PHSW (2017) Improvements for the smooth joint contact model of the particle flow code and its applications. Comput Geotech 87:163–177

    Google Scholar 

  • Park B, Min KB (2015) Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 76:243–255

    Google Scholar 

  • Park B, Min KB, Thompson N (2018) Three-dimensional bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 110:120–132

    Google Scholar 

  • Potyondy D O., 2012, Flat-Jointed Bonded-Particle Material for Hard Rock. American Rock Mechanics Association

  • Potyondy DO (2015) The bonded-particle model as a tool for rock mechanics research and application: current trends and fracture directions. Geosyst Eng 18(1):1–28

    Google Scholar 

  • Potyondy DO, Cundall PA (2004) A Bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364

    Google Scholar 

  • Read RS, Chandler NA, Dzik EJ (1998) In situ strength criteria for tunnel design in highly-stressed rock masses. Int J Rock Mech Min Sci 35:261–278

    Google Scholar 

  • Roy DG, Singh TN (2015) Effect of heat treatment and layer orientation on the tensile strength of a crystalline rock under Brazilian test condition. Rock Mech Rock Eng 49(5):1663–1677

    Google Scholar 

  • Saeidi O, Vaneghi RG, Rasouli V (2013) A modified empirical criterion for strength of transversely anisotropic rocks with metamorphic origin. Bull Eng Geol Env 72(2):257–269

    Google Scholar 

  • Saeidi O, Rasouli V, Vaneghi RG (2014) A modified failure criterion for transversely isotropic rocks. Geosci Front 5:215–225

    Google Scholar 

  • Sapari NK, Zabidi H (2019) Determination of strength variation in jointed anisotropic rocks behavior using UCS and Brazilian tensile test. Mater Today Proc 17:905–911

    Google Scholar 

  • Shen PW, Tang HM, Zhang B (2021) Investigation on the fracture and mechanical behaviors of simulated transversely isotropic rock made of two interbedded materials. Eng Geol 286:106058

    Google Scholar 

  • Shi XC, Yang X, Meng YF (2016) An anisotropic strength model for layered rocks considering planes of weakness. Rock Mech Rock Eng 49(9):3783–3792

    Google Scholar 

  • Singh M, Samadhiya NK, Kumar A (2015) A nonlinear criterion for triaxial strength of inherently anisotropic rocks. Rock Mech Rock Eng 48(4):1387–1405

    Google Scholar 

  • Sun BW, Yang SQ, Xu J (2022) Discrete element simulation on failure mechanical behavior of transversely isotropic shale under two kinds of unloading paths. Theoret Appl Fract Mech 121:103466

    Google Scholar 

  • Tien YM, Tsao PF (2000) Preparation and mechanical properties of artificial transversely isotropic rock. Int J Rock Mech Min Sci 37:1001–1012

    Google Scholar 

  • Tsai SW, Wu E (1971) A general theory of strength of anisotropic materials. J Compos Mater 5:58

    Google Scholar 

  • Valente S, Fidelibus C, Loew S (2012) Analysis of fracture mechanics tests on opalinus clay. Rock Mech Rock Eng 45(5):767–779

    Google Scholar 

  • Vervoort A, Min KB, Konietzky H (2014) Failure of transversely isotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 70:343–352

    Google Scholar 

  • Wang J, Xie LZ, Xie HP (2016) Effect of layer orientation on acoustic emission characteristics of anisotropic shale in Brazilian tests. J Nat Gas Sci Eng 36:1120–1129

    Google Scholar 

  • Wang ZH, Wang M, Zhou L (2022) Research on uniaxial compression strength and failure properties of stratified rock mass. Theoret Appl Fract Mech 121:103499

    Google Scholar 

  • Weng MC, Wu PL, Fang CH (2022) Evaluating the effect of anisotropy on hydraulic stimulation in a slate geothermal reservoir. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-022-03020-5

    Article  Google Scholar 

  • Yang SQ, Yin PF, Huang YH (2019a) Experiment and discrete element modeling on strength, deformation and failure behavior of shale under brazilian compression. Rock Mech Rock Eng 52(11):4339–4359

    Google Scholar 

  • Yang SQ, Yin PF, Huang YH (2019b) Strength, deformability and X-ray micro-CT observations of transversely isotropic composite rock under different confining pressures. Eng Fract Mech 214:1–20

    Google Scholar 

  • Yang SQ, Yin PF, Li B (2020) Behavior of transversely isotropic shale observed in triaxial tests and Brazilian disc tests. Int J Rock Mech Min Sci 133:104435

    Google Scholar 

  • Yin PF, Yang SQ (2018) Experimental investigation of the strength and failure behavior of layered sandstone under uniaxial compression and Brazilian testing. Acta Geophys 66(4):585–605

    Google Scholar 

  • Yin PF, Yang SQ, Tian WL (2019) Discrete element simulation on failure mechanical behavior of transversely isotropic rocks under different confining pressure. Arab J Geosci. https://doi.org/10.1007/s12517-019-4807-0

    Article  Google Scholar 

  • Zhang JC (2013) Borehole stability analysis accounting for anisotropies in drilling to weak bedding planes. Int J Rock Mech Min Sci 60:160–170

    Google Scholar 

  • Zhang YL, Shao JF, Saxcé GD (2019) Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model. Int J Rock Mech Min Sci 120:17–28

    Google Scholar 

Download references

Acknowledgements

This research was supported by the National Natural Science Foundation of China (42077231) and the Fundamental Research Funds for the Central Universities (2021ZDPYJQ002).

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Correspondence to Sheng-Qi Yang.

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Song, Y., Yang, SQ., Li, KS. et al. Mechanical Behavior and Fracture Evolution Mechanism of Composite Rock Under Triaxial Compression: Insights from Three-Dimensional DEM Modeling. Rock Mech Rock Eng 56, 7673–7699 (2023). https://doi.org/10.1007/s00603-023-03443-8

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