Abstract
The bedding plane properties of rock have a strong effect on the stability control of geotechnical engineering. To study the influence of bedding plane properties on mode I fracture characteristics of mudstone, a numerical model is proposed based on finite element method-cohesive zone model (FEM-CZM) method with consideration of the minerals’ composition and distribution. Through Python programming, the numerical model of mudstone with bedding plane is established by setting different mechanical parameters of bedding plane cohesive elements. Based on the minerals’ composition from the microscopic analysis, the rock minerals are randomly distributed into the solid elements by Random function. Based on the proposed numerical model, the effects of various bedding plane properties including bedding plane strength (BPS), bedding plane spacing and position, bedding plane orientation (BPO) on mode I fracture characteristics including the maximum principal stress (MPS), energy, fracture pattern, and crack information of mudstone are detailed investigated. The numerical results indicate that the BPS, bedding plane spacing, and position have strong influence on mode I fracture characteristics of short transverse specimen. Moreover, the bedding plane effect will become weaker with increasing BPO. With increasing BPO, the MPS will continuously increase, the energies will first increase and then go up and down, the fracture patterns will transform from bedding plane dominant to matrix dominant, the percentage of tensile cracks will first decrease and then increase.
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References
Chang X, Zhao HB, Cheng L (2020) Fracture propagation and coalescence at bedding plane in layered rocks. J Struct Geol. https://doi.org/10.1016/j.jsg.2020.104213
Chen YK, Xu JH, Huo XH, Wang JC (2019) Numerical simulation of dynamic damage and stability of a bedding rock slope under blasting load. Shock Vib 2019:1–13. https://doi.org/10.1155/2019/9616859
Chung J, Lee H, Kwon S (2019) Numerical investigation of radial strain-controlled uniaxial compression test of äspö diorite in grain-based model. Rock Mech Rock Eng 52(10):3659–3674. https://doi.org/10.1007/s00603-019-01838-0
Duan K, Kwok CY (2015) Discrete element modeling of anisotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 78:46–56. https://doi.org/10.1016/j.ijrmms.2015.04.023
Han W, Jiang YJ, Luan HJ, Du YT, Zhu YG, Liu JK (2020a) Numerical investigation on the shear behavior of rock-like materials containing fissure-holes with FEM-CZM method. Comput Geotech. https://doi.org/10.1016/j.compgeo.2020.103670
Han W, Jiang YJ, Luan HJ, Liu JK, Wu XL, Du YT (2020b) Fracture evolution and failure mechanism of rock-like materials containing cross-flaws under the shearing effect. Theoret Appl Fract Mech. https://doi.org/10.1016/j.tafmec.2020.102815
He MC, Ren FQ, Cheng C (2018) Experimental and numerical analyses on the effect of stiffness on bedded sandstone strain burst with varying dip angle. Bull Eng Geol Env 78(5):3593–3610. https://doi.org/10.1007/s10064-018-1363-x
Hu MS, Rutqvist J (2021) Multi-scale coupled processes modeling of fractures as porous, interfacial and granular systems from rock images with the numerical manifold method. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-021-02455-6
Huang D, Li B, Ma WZ, Cen DF, Song YX (2020) Effects of bedding planes on fracture behavior of sandstone under semi-circular bending test. Theoret Appl Fract Mech. https://doi.org/10.1016/j.tafmec.2020.102625
Huang LK, Liu JJ, Zhang FS, Dontsov E, Damjanac B (2019) Exploring the influence of rock inherent heterogeneity and grain size on hydraulic fracturing using discrete element modeling. Int J Solids Struct 176–177:207–220. https://doi.org/10.1016/j.ijsolstr.2019.06.018
Jiang RC, Dai F, Liu Y, Li A, Feng P (2021) Frequency characteristics of acoustic emissions induced by crack propagation in rock tensile fracture. Rock Mech Rock Eng 54(4):2053–2065. https://doi.org/10.1007/s00603-020-02351-5
Ju MH, Li JC, Li J, Zhao J (2020) Loading rate effects on anisotropy and crack propagation of weak bedding plane-rich rocks. Eng Fract Mech. https://doi.org/10.1016/j.engfracmech.2020.106983
Li H, Ma HL, Shi XL, Zhou J, Zhang HN, Daemen JJK (2020) A 3D grain-based model for simulating the micromechanical behavior of salt rock. Rock Mech Rock Eng 53(6):2819–2837. https://doi.org/10.1007/s00603-020-02085-4
Li X, Zhang ZY, Chen W, Yin TB, Li XB (2019) Mode I and mode II granite fractures after distinct thermal shock treatments. J Mater Civ Eng 31(4). https://doi.org/10.1061/(ASCE)MT.1943-5533.0002627
Lin Q, Wang SQ, Wan B, Lu YH, Wang Y (2019) Characterization of fracture process in sandstone: a linear correspondence between acoustic emission energy density and opening displacement gradient. Rock Mech Rock Eng 53(2):975–981. https://doi.org/10.1007/s00603-019-01949-8
Liu J, Chen Y, Wan W, Wang J, Fan X (2018) The influence of bedding plane orientation on rock breakages in biaxial states. Theoret Appl Fract Mech 95:186–193. https://doi.org/10.1016/j.tafmec.2018.03.005
Maruvanchery V, Kim E (2019) Effects of a high temperature (500ºC) on the fracture processes in calcite-cemented sandstone along bedding-plane orientations. Rock Mech Rock Eng 53(2):955–966. https://doi.org/10.1007/s00603-019-01916-3
Meng YY, Jing HW, Liu XW, Yin Q, Wei XC (2021a) Experimental and numerical investigation on the effects of bedding plane properties on the mechanical and acoustic emission characteristics of sandy mudstone. Eng Fract Mech. https://doi.org/10.1016/j.engfracmech.2021.107582
Meng YY, Jing HW, Liu XW, Yin Q, Zhang L, Liu HX (2021b) Experimental and numerical investigation on the effect of bedding plane properties on fracture behaviour of sandy mudstone. Theoret Appl Fract Mech. https://doi.org/10.1016/j.tafmec.2021.102989
Saadat M, Taheri A (2019) Modelling micro-cracking behaviour of pre-cracked granite using grain-based distinct element model. Rock Mech Rock Eng 52(11):4669–4692. https://doi.org/10.1007/s00603-019-01862-0
Saadat M, Taheri A, Kawamura Y (2021) Investigating asperity damage of natural rock joints in polycrystalline rocks under confining pressure using grain-based model. Comput Geotech. https://doi.org/10.1016/j.compgeo.2021.104144
Shang JL, Duan K, Gui Y, Handley K, Zhao Z (2018) Numerical investigation of the direct tensile behaviour of laminated and transversely isotropic rocks containing incipient bedding planes with different strengths. Comput Geotech 104:373–388. https://doi.org/10.1016/j.compgeo.2017.11.007
Shang JL, Jayasinghe LB, Xiao F, Duan K, Nie W, Zhao ZY (2019) Three-dimensional DEM investigation of the fracture behaviour of thermally degraded rocks with consideration of material anisotropy. Theoret Appl Fract Mech. https://doi.org/10.1016/j.tafmec.2019.102330
Sun Z, Salazar-Tio R, Duranti L, Crouse B, Fager A, Balasubramanian G (2021) Prediction of rock elastic moduli based on a micromechanical finite element model. Comput Geotech. https://doi.org/10.1016/j.compgeo.2021.104149
Suo Y, Chen ZX, Rahman SS, Song HF (2020) Experimental and numerical investigation of the effect of bedding layer orientation on fracture toughness of shale rocks. Rock Mech Rock Eng 53(8):3625–3635. https://doi.org/10.1007/s00603-020-02131-1
Wang HJ, Liu DA, Cui ZD, Cheng C, Jian Z (2016) Investigation of the fracture modes of red sandstone using XFEM and acoustic emissions. Theoret Appl Fract Mech 85:283–293. https://doi.org/10.1016/j.tafmec.2016.03.012
Wang W, Zhao YX, Sun Z, Lu CS (2021a) Effects of bedding planes on the fracture characteristics of coal under dynamic loading. Eng Fract Mech. https://doi.org/10.1016/j.engfracmech.2021.107761
Wang X, Cai M (2019) A comprehensive parametric study of grain-based models for rock failure process simulation. Int J Rock Mech Min Sci 115:60–76. https://doi.org/10.1016/j.ijrmms.2019.01.008
Wang ZH, Yang SL, Li LH, Tang YS, Xu GL (2021b) A 3D Voronoi clump based model for simulating failure behavior of brittle rock. Eng Fract Mech. https://doi.org/10.1016/j.engfracmech.2021.107720
Wang ZH, Yang SL, Tang YS (2020) Mechanical behavior of different sedimentary rocks in the Brazilian test. Bull Eng Geol Env 79(10):5415–5432. https://doi.org/10.1007/s10064-020-01906-8
Wong LNY, Guo TY, Lam WK, Ng JYH (2019) Experimental study of cracking characteristics of kowloon granite based on three mode I fracture toughness methods. Rock Mech Rock Eng 52(11):4217–4235. https://doi.org/10.1007/s00603-019-01882-w
Wu ZJ, Ji XK, Liu QS, Fan LF (2020a) Study of microstructure effect on the nonlinear mechanical behavior and failure process of rock using an image-based-FDEM model. Comput Geotech. https://doi.org/10.1016/j.compgeo.2020.103480
Wu ZJ, Zhou Y, Weng L, Liu QS, Xiao Y (2020b) Investigation of thermal-induced damage in fractured rock mass by coupled FEM-DEM method. Comput Geosci 24(5):1833–1843. https://doi.org/10.1007/s10596-020-09970-5
Xia L, Zeng YW, Luo R, Liu W (2018) Influence of bedding planes on the mechanical characteristics and fracture pattern of transversely isotropic rocks in direct shear tests. Shock Vib 2018:1–14. https://doi.org/10.1155/2018/6479031
Yang X, Wu B, Zhang ZY (2020) A study of fracture toughness of granite under impact load using three-dimensional reconstruction and high-speed photography techniques. Arab J Geosci 13(22). https://doi.org/10.1007/s12517-020-06182-0
Yue L, Yu BY, Zhao CX, Guo F, Huang F (2020) Type I fracture toughness test of rock-like materials based on the particle flow method. Adv Civ Eng 2020:1–15. https://doi.org/10.1155/2020/8812205
Zhang N, Yang CH, Shi XL, Wang TT, Yin HW, Daemen JJK (2018) Analysis of mechanical and permeability properties of mudstone interlayers around a strategic petroleum reserve cavern in bedded rock salt. Int J Rock Mech Min Sci 112:1–10. https://doi.org/10.1016/j.ijrmms.2018.10.014
Zhang S, Wang LF, Gao MZ (2020) Experimental and numerical study of the influence of prefabricated crack width on the fracture toughness of NSCB specimens. Rock Mech Rock Eng 53(11):5133–5154. https://doi.org/10.1007/s00603-020-02211-2
Zhao Y, Bi J, Wang CL, Liu PF (2021) Effect of Unloading rate on the mechanical behavior and fracture characteristics of sandstones under complex triaxial stress conditions. Rock Mech Rock Eng 54(9):4851–4866. https://doi.org/10.1007/s00603-021-02515-x
Zhao YL, Zhang LY, Liao J, Wang WJ, Liu Q, Tang LM (2020) Experimental study of fracture toughness and subcritical crack growth of three rocks under different environments. Int J Geomech 20(8). https://doi.org/10.1061/(ASCE)GM.1943-5622.0001779
Acknowledgements
This work is financially supported by Postgraduate Research and Practice Innovation Program of Jiangsu Province (No. KYCX21_2286), National Natural Science Foundation of China (Nos. 51734009, 52074259, 51904290, 52174092) and Jiangsu Province Policy Guidance Plan “Belt and Road” Innovation Cooperation Project (BZ2020066).
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Meng, Y., Jing, H., Yuan, L. et al. Numerical investigation on the effect of bedding plane properties on mode I fracture characteristics of mudstone with FEM-CZM method. Bull Eng Geol Environ 81, 3 (2022). https://doi.org/10.1007/s10064-021-02515-9
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DOI: https://doi.org/10.1007/s10064-021-02515-9