Computers and Concrete

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Investigation of ratio of TBM disc spacing to penetration depth in rocks with different tensile strengths using PFC2D

  • Sarfarazi, Vahab (Department of Mining Engineering, Hamedan University of Technology) ;
  • Haeri, Hadi (Young Researchers and Elite Club, Bafgh Branch, Islamic Azad University) ;
  • Shemirani, Alireza Bagher (Department of Civil Engineering, Sadra Institute of Higher Education) ;
  • Hedayat, Ahmadreza (Department of Civil and Environmental Engineering, Colorado School of Mines) ;
  • Hosseini, Seyed Shahin (Department of Civil Engineering, Aria University of Sciences and Sustainability)
  • Received : 2016.05.21
  • Accepted : 2017.05.17
  • Published : 2017.10.25
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Abstract

In this study, the effect of the tensile strength and ratio of disc spacing to penetration depth on the efficiency of tunnel boring machine (TBM) is investigated using Particle flow code (PFC) in two dimensions. Models with dimensions of $150{\times}70mm$ made of rocks with four different tensile strength values of 5 MPa, 10 MPa, 15 MPa and 20 MPa were separately analyzed and two "U" shape cutters with width of 10 mm were penetrated into the rock model by velocity rate of 0.1 mm/s. The spacing between cutters was also varied in this study. Failure patterns for 5 different penetration depths of 3 mm, 4 mm, 5 mm, 6 mm, and 7 mm were registered. Totally 100 indentation test were performed to study the optimal tool-rock interaction. An equation relating mechanical rock properties with geometric characteristics for the optimal TBM performance is proposed. The results of numerical simulations show that the effective rock-cutting condition corresponding to the minimum specific energy can be estimated by an optimized disc spacing to penetration depth, which, in fact, is found to be proportional to the rock's tensile strength.

Keywords

References

  1. Alehossein, H., Detournay, E. and Huang, H. (2000), "An analytical model for the indentation of rocks by blunt tools", Rock Mech. Rock Eng., 33(4), 267-284. https://doi.org/10.1007/s006030070003
  2. Bejari, H. and Hamidi, J.K. (2013), "Simultaneous effects of joint spacing and orientation on TBM cutting efficiency in jointed rock masse", Rock Mech. Rock Eng., 46, 897-907. https://doi.org/10.1007/s00603-012-0314-2
  3. Bilgin, N., Balci, C., Acaroglu, O., Tuncdemir, H. and Eskikaya, C. (2000), Development of Rapid Excavation Technologies for the Turkish Mining and Tunnelling Industries, NATO TU Excavation Project Report, Faculty of Mines, Mining Engineering Department, Istanbul Technical University.
  4. Bobet, A. (2001), "A hybridized displacement discontinuity method for mixed mode I-II-III loading", J. Rock Mech. Min. 38(8), 1121-1134. https://doi.org/10.1016/S1365-1609(01)00081-8
  5. Chang, S.H., Lee, C., Kang, T.H., Ha, T. and Choi, S.W. (2017), "Effect of hardfacing on wear reduction of pick cutters under mixed rock conditions", Geomech. Eng., 13, 141-159.
  6. Cho, J.W., Jeon, S., Yu, S.H. and Chang, S.H. (2010), "Optimum spacing of TBM disc cutters: A numerical simulation using the three-dimensional dynamic fracturing method", Tunn. Undergr. Space Technol., 25, 230-244. https://doi.org/10.1016/j.tust.2009.11.007
  7. Cho, N., Martin, C.D. and Sego, D.C. (2007), "A clumped particle model for rock", J. Rock Mech. Min. Sci. 44, 997-1010. https://doi.org/10.1016/j.ijrmms.2007.02.002
  8. Cho, N., Martin, C.D. and Sego, D.C. (2008), "Development of a shear zone in brittle rock subjected to direct shear", J. Rock Mech. Min. Sci., 45, 1335-1346. https://doi.org/10.1016/j.ijrmms.2008.01.019
  9. Choi, S. and Lee, S. (2015), "Three-dimensional numerical analysis of the rock-cutting behavior of a disc cutter using particle flow code", KSCE J. Civil Eng., 19(4), 1129-1138. https://doi.org/10.1007/s12205-013-0622-4
  10. Cook, N.G.W., Hood, M. and Tsai, F. (1984), "Observations of crack growth in hard rock loaded by an indenter", J. Rock Mech. Min. Sci. Geomech. Abstr., 21, 97-107. https://doi.org/10.1016/0148-9062(84)91177-X
  11. Cundall, P. (1971), "A computer model for simulating progressive large scale movements in blocky rock systems", Proceedings of the Symposium of International Society of Rock Mechanics, Nancy, France.
  12. Ding, W., Peng, Y.C., Yan, Z.G., Shen, B.W., Zhu, H.H. and Wei, X.X. (2013), "Full-scale testing and modeling of the mechanical behavior of shield TBM tunnel joints", Struct. Eng. Mech., 45, 337-354. https://doi.org/10.12989/sem.2013.45.3.337
  13. Eftekhari, M., Baghbanan, A. and Bagherpour, R. (2014), "The effect of fracture patterns on penetration rate of TBM in fractured rock mass using probabilistic numerical approach", Arab. J. Geosci., 7(12), 5321-5331. https://doi.org/10.1007/s12517-013-1070-7
  14. Gertsch, R., Gertsch, L. and Rostami, J. (2007), "Disc cutting tests in Colorado red granite: Implications for TBM performance prediction", J. Rock Mech. Min. Sci., 44, 238-246. https://doi.org/10.1016/j.ijrmms.2006.07.007
  15. Ghazvinian, A., Sarfarazi, V., Schubert, W. and Blumel, M. (2012), "A study of the failure mechanism of planar non-persistent open joints using PFC2D", Rock Mech. Rock Eng., 45(5), 677-693. https://doi.org/10.1007/s00603-012-0233-2
  16. Gong, Q.M., Jiao, Y.Y. and Zhao, J. (2006a), "Numerical modeling of the effects of joint spacing on rock fragmentation by TBM cutters", Tunn. Undergr. Space Technol., 21, 46-55. https://doi.org/10.1016/j.tust.2005.06.004
  17. Gong, Q.M., Zhao, J. and Hefny, A.M. (2006b), "Numerical simulation of rock fragmentation process induced by two TBM cutters and cutter spacing optimization", Tunn. Undergr. Space Technol., 21, 263. https://doi.org/10.1016/j.tust.2005.12.124
  18. Gong, Q.M., Zhao, J. and Jiao, Y. (2005), "Numerical modeling of the effects of joint orientation on rock fragmentation by TBM cutters", Tunn. Undergr. Space Technol., 20, 183-191. https://doi.org/10.1016/j.tust.2004.08.006
  19. Guo, H., Aziz, N.I. and Schmidt, L.C. (1992), "Rock cutting study using linear elastic fracture mechanics", Eng. Fract. Mech. 41(5), 771-778. https://doi.org/10.1016/0013-7944(92)90159-C
  20. Haeri, H. (2015), "Influence of the inclined edge notches on the shear-fracture behavior in edge-notched beam specimens", Comput. Concrete, 16(4), 605-623. https://doi.org/10.12989/cac.2015.16.4.605
  21. Haeri, H. (2015d), "Simulating the crack propagation mechanism of pre-cracked concrete specimens under shear loading conditions", Strength Mater., 47(4), 618-632. https://doi.org/10.1007/s11223-015-9698-z
  22. Haeri, H. and Sarfarazi, V. (2016a), "The effect of micro pore on the characteristics of crack tip plastic zone in concrete", Comput. Concrete, 17(1), 107-112. https://doi.org/10.12989/cac.2016.17.1.107
  23. Haeri, H. and Sarfarazi, V. (2016b), "The deformable multilaminate for predicting the elasto-plastic behavior of rocks", Comput. Concrete, 18(2), 201-214. https://doi.org/10.12989/cac.2016.18.2.201
  24. Haeri, H., Khaloo, A. and Marji, M.F. (2015c), "Experimental and numerical simulation of the microcrack coalescence mechanism in rock-like materials", Strength Mater., 47(5), 740-754. https://doi.org/10.1007/s11223-015-9711-6
  25. Haeri, H., Khaloo, A. and Marji, M.F. (2015e), "Fracture analyses of different pre-holed concrete specimens under compression", Acta Mech. Sinic., 31(6), 855-870. https://doi.org/10.1007/s10409-015-0436-3
  26. Haeri, H., Marji, M.F. and Shahriar, K. (2015), "Simulating the effect of disc erosion in TBM disc cutters by a semi-infinite DDM", Arab. J. Geosci., 8(6), 3915-3927. https://doi.org/10.1007/s12517-014-1489-5
  27. Haeri, H., Shahriar, K. and Marji, F. (2013), "Modeling the propagation mechanism of two random micro cracks in rock samples under uniform tensile loading", ICF13.
  28. Howarth, D.F. and Roxborough, F.F. (1982), "Some fundamental aspects of the use of disc cutters in hard-rockexcavation", J. South Afr. Inst. Min. Metall., 82(11), 309-315.
  29. Huang, H., Damjanal, B. and Detournay, E. (1998), "Normal wedge in-dentation in rocks with lateral confinement", Rock Mech. Rock Eng., 31(2), 81-94. https://doi.org/10.1007/s006030050010
  30. Huang, J. and Wang, S. (1985), "An experimental investigation concerning the comprehensive fracture toughness of some brittle rocks", J. Rock Mech. Min., 22(2), 99-104. https://doi.org/10.1016/0148-9062(85)92331-9
  31. Johanessen, O. (1995), Hard Rock Tunnel Boring, University of Trondheim, The Norwegian Institute of Technology, 165.
  32. Lawn, B.R. and Swain, M.V. (1975), "Microfracture beneath point indentations in brittle solids", J. Mater. Sci., 10, 113-122. https://doi.org/10.1007/BF00541038
  33. Li, D., Zhou, C., Lu, W. and Jiang, Q. (2009), "A system reliability approach for evaluating stability of rock wedges with correlated failure modes", Comput. Geotech., 36, 1298-1307. https://doi.org/10.1016/j.compgeo.2009.05.013
  34. Li, J.Y., Zhou, H., Zhu, W. and Li, S. (2016), "Experimental and numerical investigations on the shear behavior of a jointed rock mass", Geosci. J., 20, 371-379. https://doi.org/10.1007/s12303-015-0052-z
  35. Li, S., Wang, H., Li, Y., Li, Q., Zhang, B. and Zhu, H. (2016), "A new mini-grating absolute di placement measuring system for static and dynamic geomechanical model tests", Measure., 82, 421-431.
  36. Lislerud, A. (1988), "Hard rock tunnel boring: Prognosis and costs", Tunn. Undergr. Space Technol., 3(1), 9-17. https://doi.org/10.1016/0886-7798(88)90029-6
  37. Liu, H.Y., Kou, S.Q., Lindqvist, P.A. and Tang, C.A. (2002), "Numerical simulation of the rock fragmentation process induced by indenters", J. Rock Mech. Min. Sci., 39, 491-505. https://doi.org/10.1016/S1365-1609(02)00043-6
  38. Liu, J. (2015), "Effects of discontinuities on penetration of TBM cutters", J. Centr. South Univ., 22, 3624-3632. https://doi.org/10.1007/s11771-015-2903-1
  39. Ma, H., Yin, L. and Ji, H. (2011), "Numerical study of the effect of confining stress on rock fragmentation by TBM cutters", J. Rock Mech. Min. Sci., 48, 2021-2033.
  40. Mo, Z., Li, H., Zhou, Q., He, E., Zou, F., Zhu, X. and Zhao, Y. (2012), "Research on Numerical simulation of rock breaking using TBM disc cutters based on UDEC method", Rock Soil Mech., 33(4), 1196-1202.
  41. Monsees, B., Potyondy, D.O. and Cundall, P.A. (2004), "A bonded-particle model for rock", J. Rock Mech. Min. Sci., 41(8), 1329-1364. https://doi.org/10.1016/j.ijrmms.2004.09.011
  42. Moon, T. and Oh, J. (2012), "A study of optimal rock-cutting conditions for hard rock TBM using the discrete element method", Rock Mech. Rock Eng., 45, 837-849.
  43. Nilsen, B. and Ozdemir, L. (1993), "Hard rock tunnel boring prediction and field performance", Proceedings of the Rapid Excavation and Tunneling Conference (RETC).
  44. Rostami, J., Ozdemir, L. and Neil, M.D. (1994), "Performance prediction: A key issue in mechanical hard rock mining", Min. Eng., 11, 1263-1267.
  45. Sarfarazi, V., Ghazvinian, A., Schubert, W., Blumel, M. and Nejati, H.R. (2014), "Numerical simulation of the process of fracture of echelon rock joints", Rock Mech. Rock Eng., 47(4), 1355-1371. https://doi.org/10.1007/s00603-013-0450-3
  46. Shen, B. and Stephansson, O. (1994), "Modification of the G-criterion for crack propagation subjected to compression", Eng. Fract. Mech. 47(2), 177-189. https://doi.org/10.1016/0013-7944(94)90219-4
  47. Snowdon, R.A., Ryley, M.D. and Temporal, J. (1982), "A study of disc cutting in selected British rocks", J. Rock Mech. Min., 19(3), 107-121.
  48. Snowdon, R.A., Ryley, M.D. and Temporal, J. (1982), "A study of disc cutting in selected British rocks", J. Rock Mech. Min., 19(3) 107-121.
  49. Swain, M.V. and Lawn, B.R. (1976), "Indentation fracture in brittle rocks and glasses", J. Rock Mech. Min. Sci. Geomech. Abstr., 13, 311-319. https://doi.org/10.1016/0148-9062(76)91830-1
  50. Tan, Q., Xu, Z., Xia, Y. and Zhang, K. (2012), "Numerical study on mode of breaking rock by TBM cutter in two cutting orders", J. Centr. South Univ., 43(3), 940-946.
  51. Tan, X.C., Kou, S.Q. and Lindqvist, P.A. (1996), "Simulation of rock fragmentation by indenters using DDM and fracture mechanics", Proceedings of the 2nd North American Rock Mechanics Symposium.
  52. Wang, H., Li, Y., Li, S., Zhang, Q. and Liu, J. (2016), "An elasto-plastic damage constitutive model for jointed rock mass with an application", Geomech. Eng., 11, 77-94. https://doi.org/10.12989/gae.2016.11.1.077
  53. Wang, J., Li, S.C., Li, L.P., Zhu, W., Zhang, Q.Q. and Song, S.G. (2014), "Study on anchorage effect on fractured rock", Steel Compos. Struct., 17, 791-801. https://doi.org/10.12989/scs.2014.17.6.791
  54. Wang, S.Y., Sloan, H.S.W., Liu, Y. and Tang, C.A. (2011), "Numerical simulation of the rock fragmentation process induced by two drill bits subjected to static and dynamic (impact) loading", J. Rock Mech. Min. Sci., 44, 317-332.
  55. Wang, X., Zhu, Z., Wang, M., Ying, P., Zhou, L. and Dong, Y. (2017), "Study of rock dynamic fracture toughness by using VB-SCSC specimens under medium-low speed impacts", Eng. Fract. Mech., 181, 52-64. https://doi.org/10.1016/j.engfracmech.2017.06.024
  56. Whittaker, B.N., Singh, R.N. and Sun, G. (1992), Rock Fracture Mechanics: Principles, Design and Applications, Elsevier, Amsterdam, the Netherlands.
  57. Yu, S., Zhu, W.S., Yang, W.M., Zhang, D.F. and Ma, Q.S. (2015), "Rock bridge fracture model and stability analysis of surrounding rock in underground cavern group", 53, 481-495. https://doi.org/10.12989/sem.2015.53.3.481
  58. Zhang, K., Xia, Y., Tan, Q. and Zhou, Z. (2010), "Numerical study on modes of breaking rock by TBM cutter under different confining pressures", Chin. J. Geotech. Eng., 11, 1780-1787.
  59. Zhang, X.P., Lu, M., Mao, D., Zhao, Z. and Hao, L. (2017), "Design and construction of shaft for rock caverns in Singapore", Geomech. Eng., 13, 173-194.
  60. Zhang, Z.G., Zhao, Q.H. and Zhang, M.X. (2016), "Deformation analyses during subway shield excavation considering stiffness influences of underground structures", Geomech. Eng., 11, 117-139. https://doi.org/10.12989/gae.2016.11.1.117
  61. Zhu, Z., Xie, H. and Ji, S. (1997), "The mixed boundary problems for a mixed mode crack in a finite plate", Eng. Fract. Mech., 6(5), 647-655.

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