Abstract
Rockburst in coalmines is the result of the release of the elastic strain energy (ESE) stored in rock and coal masses. The examination of the elastic strain energy (ESE) along rock joint is important to evaluate the shear strength of rock masses. The morphology of joints and the strength of rock masses are considered as the key factors influencing the distribution of the ESE. In this study, a three-dimensional model is developed to quantify the influence of the morphological effect of rock joint (by varying the amplitude and wavelength of the joint) and different materials (coal or rock) on the distribution of the ESE. The results show that when the wavelength of the joint reaches about 5~20% of the length of the model and the amplitude of joint reaches about 2~10% of the height of the model, a relative high concentration of the ESE was found at the left and right crests, together with a low concentration in the middle crests. For most cases, the maximum ESE generally has a similar order of magnitude (108~109 J) and approximately arched trend for different wave amplitudes for the joints. However, in cases of the flattest joint only reaches about 10−16 J. Regarding the influence of different materials on ESE, the rock-rock system generally has a similar distribution of ESE with the rock-coal system, but the latter one concentrates much more ESE. The coal-rock system has the smallest ESE. This recognition of the highly unbalanced distribution of ESE will certainly help to effectively reduce the potential failure of rocks under the CNL boundary conditions.
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References
Ansell A (2005) Laboratory testing of a new type of energy absorbing rock bolt. Tunn Undergr Space Technol 20(4):291–300. https://doi.org/10.1016/j.tust.2004.12.001
Bandis S, Lumsden AC, Barton NR (1981) Experimental studies of scale effects on the shear behaviour of rock joints. Int J Rock Mech Min Sci Geomech Abstr 18(1):1–21. https://doi.org/10.1016/0148-9062(81)90262-X
Bandis S, Lumsden AC, Barton NR (1983) Fundamentals of rock joint deformation. Int J Rock Mech Min Sci Geomech Abstr 20(6):249–268. https://doi.org/10.1016/0148-9062(83)90595-8
Barton N (1973) Review of a new shear-strength criterion for rock joints. Eng Geol 7:287–332. https://doi.org/10.1016/0013-7952(73)90013-6
Barton N (1976) The shear strength of rock and rock joints. Int J Rock Mech Min Sci Geom Abstr 13:255–279. https://doi.org/10.1016/0148-9062(76)90003-6
Belem T, Souley M, Homand F (2009) Method for quantification of wear of sheared joint walls based on surface morphology. Rock Mech Rock Eng 42(6):883–910 http://sci-hub.tw/10.1007/s00603-008-0023-z
Bellahsen N, Daniel JM (2005) Fault reactivation control on normal fault growth: an experimental study. J Struct Geol 27(4):769–780. https://doi.org/10.1016/j.jsg.2004.12.003
Bieniawski ZT (1967) Mechanism of brittle fracture of rock: part I—theory of the fracture process. Int J Rock Mech Min Sci Geomech Abstr 4(4):395–406. https://doi.org/10.1016/0148-9062(67)90030-7
Borri-Brunetto M, Alberto C, and Bernardino C (1999) Scaling phenomena due to fractal contact in concrete and rock fractures. Fracture Scaling. Springer, Dordrecht, 221-238. http://sci-hub.tw/10.1007/978-94-011-4659-3_12, 1999
Brewer R, Sleeman JR (1960) Soil structure and fabric: their definition and description. J Soil Sci 11(1):172–185. https://doi.org/10.1111/j.1365-2389.1960.tb02213.x
Cerato AB, Lutenegger AJ (2006) Specimen size and scale effects of direct shear box tests of sands. Geotech Test J 29(6):507–516. https://doi.org/10.1520/GTJ100312
Dang W (2016) Shear behavior of plane joints under CNL and DNL conditions: lab testing and numerical simulation, Technischen Universität Bergakademie Freiberg, theses
Dang W, Konietzky H, Frühwirt T (2016a) Rotation and stress changes of a plane joint during direct shear tests. Int J Rock Mech Min Sci 89:129–135. https://doi.org/10.1016/j.ijrmms.2016.09.004
Dang W, Konietzky H, Frühwirt T (2016b) Direct shear behaviour of a plane joint under dynamic normal load (DNL). Eng Geol 213:133–141. https://doi.org/10.1016/j.enggeo.2016.08.016
Dang W, Konietzky H, Frühwirt T (2017a) Direct shear behavior of planar joints under cyclic normal load conditions: effect of different cyclic normal force amplitudes. Rock Mech Rock Eng 50(4):1–7
Dang W, Konietzky H, Herbst M, Frühwirt T (2017b) Complex analysis of shear box tests with explicit consideration of interaction between test device and sample. Measurement 102:1–9. https://doi.org/10.1016/j.measurement.2017.01.040
Dang W, Konietzky H, Chang L, Frühwirt T (2018) Velocity-frequency-amplitude-dependent frictional resistance of planar joints under dynamic normal load (DNL) conditions. Tunn Undergr Space Technol 79:27–34. https://doi.org/10.1016/j.tust.2018.04.038
Dang W, Konietzky H, Frühwirt T, Herbst M (2019a) Cyclic frictional responses of planar joints under cyclic normal load conditions: laboratory tests and numerical simulations. Rock Mech Rock Eng 53:337–364. https://doi.org/10.1007/s00603-019-01910-9
Dang W, Wu W, Konietzky H, Qian J (2019b) Effect of shear-induced aperture evolution on fluid flow in rock fractures. Comput Geotech 114:103152
Elliott D (1972) Deformation paths in structural geology. Geol Soc Am Bull 83(9):2621–2638. https://doi.org/10.1130/0016-7606(1972)83[2621:DPISG]2.0.CO;2
Emery CL (1964) Strain energy in rocks. In: State of Stress in the Earth’s Crust, pp 234–279
Fardin N, Feng Q, Stephansson O (2004) Application of a new in situ 3D laser scanner to study the scale effect on the rock joint surface roughness. Int J Rock Mech Min Sci 2(41):329–335. https://doi.org/10.1016/S1365-1609(03)00111-4
Feng X, Zhang Q (2018) The effect of backfilling materials on the deformation of coal and rock strata containing multiple goaf: a numerical study. Minerals 8:224. https://doi.org/10.3390/min8060224
Feng X, Amponsah PO, Martin R, Ganne J, Jessell MW (2016a) 3-D numerical modelling of the influence of pre-existing faults and boundary conditions on the distribution of deformation: example of North-Western Ghana. Precambrian Res 274:161–179. https://doi.org/10.1016/j.precamres.2015.06.006
Feng X, Jessell MW, Amponsah PO, Martin R, Ganne J, Liu D, Batt G (2016b) Effect of strain-weakening on Oligocene-Miocene self-organization of the Australian - Pacific plate boundary fault in southern New Zealand: insight from numerical modelling. J Geodyn 100:130–143. https://doi.org/10.1016/j.jog.2016.03.002
Feng X, Wang E, Ganne J, Amponsah P, Martin R (2018) Role of volcano-sedimentary basins in the formation of greenstone-Granitoid belts in the west African Craton: a numerical model. Minerals 8(2):73. https://doi.org/10.3390/min8020073
Feng X, Zhang Q, Ali M (2019a) Explosion-induced stress waves propagation in interacting faults system: numerical modelling and implications for Chaoyang Coal Mine. Shock Vib. https://doi.org/10.1155/2019/5856080
Feng X, Wang E, Amponsah PO, Ganne J, Martin R, Jessell MW (2019b) Effect of pre-existing faults on the distribution of lower crust exhumation under extension: numerical modelling and implications for NW Ghana. Geosci J 23(6):961–975
Feng X, Wang E, Ganne J, Martin R, Jessell M (2019c) The exhumation along the Kenyase and Ketesso shear zones in the Sefwi terrane, West African Craton: a numerical study. Geosci J 23(3):391–408
Feng X, Zhang Q, Ali M (2019d) 3D modelling of the strength effect of backfill-rocks on controlling rockburst risk: a case study. Arab J Geosci 13(3):128
Fereshtenejad S, Song JJ (2016) Fundamental study on applicability of powder-based 3D printer for physical modeling in rock mechanics. Rock Mech Ock Eng 49(6):2065–2074 http://sci-hub.tw/10.1007/s00603-015-0904-x
Friedman M (1972) Residual elastic strain in rocks. Tectonophysics 15(4):297–330. https://doi.org/10.1016/0040-1951(72)90093-5
Ghazvinian AH, Taghichian A, Hashemi M, Mar’Ashi S (2010) The shear behavior of bedding planes of weakness between two different rock types with high strength difference. Rock Mech Rock Eng 43(1):69–87 http://sci-hub.tw/10.1007/s00603-009-0030-8
Goodman LE, Brown CB (1962) Energy dissipation in contact friction: constant normal and cyclic tangential loading. J Appl Mech 29(1):17–22. https://doi.org/10.1115/1.3636453
Grasselli G, Egger P (2003) Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters. Int J Rock Mech Min Sci 40:25–40. https://doi.org/10.1016/S1365-1609(02)00101-6
Hoek E (1964) Fracture of anisotropic rock. J S Afr Inst Min Metall 64(10):501–523
Hoek E, Brown ET (1980) Empirical strength criterion for rock masses. J Geotech Geoenviron Eng 106(ASCE 15715). http://worldcat.org/oclc/3519342
Hu S, Pang S, Yan Z (2019) A new dynamic fracturing method: deflagration fracturing technology with carbon dioxide. Int J Fract 220:99–111. https://doi.org/10.1007/s10704-019-00403-8
Ishutov S, Hasiuk FJ, Harding C, Gray JN (2015) 3D printing sandstone porosity models. Interpretation 3(3):49–61. https://doi.org/10.1190/INT-2014-0266.1
Jiang Q, Feng X, Gong Y, Song L, Ran S, Cui J (2016) Reverse modelling of natural rock joints using 3D scanning and 3D printing. Comput Geotech 73:210–220. https://doi.org/10.1016/j.compgeo.2015.11.020
Jin A, Wang B, Zhao Y, Wang H, Feng H, Sun H, Yang Z (2019) Analysis of the deformation and fracture of underground mine roadway by joint rock mass numerical model. Arab J Geosci 12(18):559
Karami A, Stead D (2008) Asperity degradation and damage in the direct shear test: a hybrid FEM/DEM approach. Rock Mech Rock Eng 41(2):229–266 http://sci-hub.tw/10.1007/s00603-007-0139-6
Kidybiński A (1981) Bursting liability indices of coal. Int J Rock Mech Min Sci Geomech Abstr 18(4):295–304. https://doi.org/10.1016/0148-9062(81)91194-3
Lambert C, Coll C (2014) Discrete modeling of rock joints with a smooth-joint contact model. J Rock Mech Geotech Eng 6(1):1–12. https://doi.org/10.1016/j.jrmge.2013.12.003
Li H, Liu Y, Li J, Yang F, Liu T, Xia X, Liu B (2016) Numerical study on oblique incidence across rock masses with linear and nonlinear joints. Arab J Geosci 9(1):20
Linkov AM (1996) Rockbursts and the instability of rock masses. Int J Rock Mech Min Sci Geomech Abstr 33(7):727–732. https://doi.org/10.1016/0148-9062(96)00021-6
Liu SH, Sun DA, Matsuoka H (2005) On the interface friction in direct shear test. Comput Geotech 32(5):317–325. https://doi.org/10.1016/j.compgeo.2005.05.002
Liu Q, Tian Y, Ji P, Ma H (2018) Experimental investigation of the peak shear strength criterion based on three-dimensional surface description. Rock Mech Rock Eng 51(4):1005–1025 http://sci-hub.tw/10.1007/s00603-017-1390-0
Lobo-Guerrero S, Vallejo LE (2005) Discrete element method evaluation of granular crushing under direct shear test conditions. J Geotech Geoenviron 131(10):1295–1300. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:10(1295)
Mackenzie FT, Garrels RM (1971) Evolution of sedimentary rocks. Norton, New York
Oh J, Li Y, Mitra R, Canbulat I (2017) A numerical study on dilation of a saw-toothed rock joint under direct shear. Rock Mech Rock Eng 50(4):913–925 http://sci-hub.tw/10.1007/s00603-016-1142-6
Park JW, Song JJ (2009) Numerical simulation of a direct shear test on a rock joint using a bonded-particle model. Int J Rock Mech Min Sci 46(8):1315–1328. https://doi.org/10.1016/j.ijrmms.2009.03.007
Schormair N, Thuro K, Plinninger R (2006) The influence of anisotropy on hard rock drilling and cutting. The Geological Society of London, IAEG, Paper 491: 1–11
Sharma P, Verma AK, Negi A, Jha MK, Gautam P (2018) Stability assessment of jointed rock slope with different crack infillings under various thermomechanical loadings. Arab J Geosci 11(15):431
Sih GC (1974) Strain-energy-density factor applied to mixed mode crack problems. Int J Fract 10(3):305–321. https://doi.org/10.1007/BF00035493
Son BK, Lee YK, Lee CI (2004) Elasto-plastic simulation of a direct shear test on rough rock joints. Int J Rock Mech Min Sci 41:354–359. https://doi.org/10.1016/j.ijrmms.2004.03.066
Song D (2012) Study on evolution process and energy dissipation characteristics of rock burst [D]. China University of Mining and Technology, theses, 2012
Strom A (2006) Morphology and internal structure of rockslides and rock avalanches: grounds and constraints for their modelling. In: Landslides from massive rock slope failure. Springer, Dordrecht, pp 305–326
Sturzenegger M, Stead D (2009) Close-range terrestrial digital photogrammetry and terrestrial laser scanning for discontinuity characterization on rock cuts. Eng Geol 106(3–4):163–182. https://doi.org/10.1016/j.enggeo.2009.03.004
Su SF, Liao HJ, Lin YH (1998) Base stability of deep excavation in anisotropic soft clay. J Geotech Geoenviron 124(9):809–819. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:9(809)
Tang CA, Kaiser PK (1998) Numerical simulation of cumulative damage and seismic energy release during brittle rock failure—part I: fundamentals. Int J Rock Mech Min Sci 35(2):113–121. https://doi.org/10.1016/S0148-9062(97)00009-0
Walsh JJ, Nicol A, Childs C (2002) An alternative model for the growth of faults. J Struct Geol 24(11):1669–1675. https://doi.org/10.1016/S0191-8141(01)00165-1
Wang JA, Park HD (2001) Comprehensive prediction of rockburst based on analysis of strain energy in rocks. Tunn Undergr Space Technol 16(1):49–57. https://doi.org/10.1016/S0886-7798(01)00030-X
Wang SY, Lam KC, Au SK, Tang CA, Zhu WC, Yang TH (2006) Analytical and numerical study on the pillar rockbursts mechanism. Rock Mech Rock Eng 39(5):445–467 http://sci-hub.tw/10.1007/s00603-005-0075-2
Wang SH, Lee CI, Ranjith PG, Tang CA (2009) Modeling the effects of heterogeneity and anisotropy on the excavation damaged/disturbed zone (EDZ). Rock Mech Rock Eng 42(2):229–258 http://sci-hub.tw/10.1007/s00603-009-0177-3
Xiong LX, Chen HJ, Li TB, Zhang Y (2019) Uniaxial compressive study on mechanical properties of rock mass considering joint spacing and connectivity rate. Arab J Geosci 12(21):642
Yan WM (2009) Fabric evolution in a numerical direct shear test. Comput Geotech 36(4):597–603. https://doi.org/10.1016/j.compgeo.2008.09.007
Yan Z, Dai F, Liu Y, Feng P (2019) Experimental and numerical investigation on the mechanical properties and progressive failure mechanism of intermittent multi-jointed rock models under uniaxial compression. Arab J Geosci 12(22):681
Yao J, He F, Xu J (2009) The energy mechanism of rock burst and its application. J Central Soth Univ (NATURAL SCIENCE EDITION) 40(3):808–813 (In Chinese)
Zhang L, Thornton C (2007) A numerical examination of the direct shear test. Geotechnique 57(4):343–354. https://doi.org/10.1680/geot.2007.57.4.343
Zhu WC, Li ZH, Zhu L, Tang CA (2010) Numerical simulation on rockburst of underground opening triggered by dynamic disturbance. Tunn Undergr Space Technol 25(5):587–599. https://doi.org/10.1016/j.tust.2010.04.004
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The editors and two anonymous reviewers are warmly thanked for providing very constructive comments.
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This research was funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), and the National Science Foundation for Young Scientists of Jiangsu Province (BK20180644), the Fundamental Research Funds for the Central Universities (2018QNB01), and China Postdoctoral Science Foundation (2019M652021).
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Feng, X., Zhang, Q., Liu, X. et al. Numerical simulation of the morphological effect of rock joints in the processes of concentrating elastic strain energy: a direct shear study. Arab J Geosci 13, 292 (2020). https://doi.org/10.1007/s12517-020-5280-5
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DOI: https://doi.org/10.1007/s12517-020-5280-5