Rock Mechanics and Rock Engineering

, Volume 50, Issue 12, pp 3209–3221 | Cite as

An Experimental Study of Dependence of Optimum TBM Cutter Spacing on Pre-set Penetration Depth in Sandstone Fragmentation

Original Paper
  • 427 Downloads

Abstract

Cutter spacing is an essential parameter in the TBM design. However, few efforts have been made to study the optimum cutter spacing incorporating penetration depth. To investigate the influence of pre-set penetration depth and cutter spacing on sandstone breakage and TBM performance, a series of sequential laboratory indentation tests were performed in a biaxial compression state. Effects of parameters including penetration force, penetration depth, chip mass, chip size distribution, groove volume, specific energy and maximum angle of lateral crack were investigated. Results show that the total mass of chips, the groove volume and the observed optimum cutter spacing increase with increasing pre-set penetration depth. It is also found that the total mass of chips could be an alternative means to determine optimum cutter spacing. In addition, analysis of chip size distribution suggests that the mass of large chips is dominated by both cutter spacing and pre-set penetration depth. After fractal dimension analysis, we found that cutter spacing and pre-set penetration depth have negligible influence on the formation of small chips and that small chips are formed due to squeezing of cutters and surface abrasion caused by shear failure. Analysis on specific energy indicates that the observed optimum spacing/penetration ratio is 10 for the sandstone, at which, the specific energy and the maximum angle of lateral cracks are smallest. The findings in this paper contribute to better understanding of the coupled effect of cutter spacing and pre-set penetration depth on TBM performance and rock breakage, and provide some guidelines for cutter arrangement.

Keywords

Indentation test Cutter spacing Pre-set penetration depth TBM performance 

Notes

Acknowledgements

The study is financially supported by the National Basic Research Program of China (973 Program) (2013CB035401).

References

  1. Alehoseein H, Detournay E, Huang H (2000) An analytical model for the indentation of rocks by blunt tools. Rock Mech Rock Eng 33(4):267–284CrossRefGoogle Scholar
  2. Bejari H, Khademi Hamidi J (2013) Simultaneous effects of joint spacing and orientation on TBM cutting efficiency in jointed rock masses. Rock Mech Rock Eng 46(4):897–907CrossRefGoogle Scholar
  3. Bilgin N, Copur H, Balci C (2012) Effect of replacing disc cutters with chisel tools on performance of a TBM in difficult ground conditions. Tunn Undergr Space Technol 27(1):41–51CrossRefGoogle Scholar
  4. Bilgin N, Copur H, Balci C (2016) Effect of high strength rocks on TBM performance, in TBM excavation in difficult ground conditions: case studies from Turkey. Wiley-VCH Verlag GmbH & CoKGaA, Weinheim. doi: 10.1002/9783433607190.ch11 CrossRefGoogle Scholar
  5. Billi A (2005) Grain size distribution and thickness of breccia and gouge zones from thin (< 1 m) strike-slip fault cores in limestone. J Struct Geol 27(10):1823–1837CrossRefGoogle Scholar
  6. Billi A, Storti F (2004) Fractal distribution of particle size in carbonate cataclastic rocks from the core of a regional strike-slip fault zone. Tectonophys 384(1–4):115–128CrossRefGoogle Scholar
  7. Blenkinsop TG (1991) Cataclasis and processes of particle size reduction. Pure appl Geophys 136(1):59–86CrossRefGoogle Scholar
  8. Chen LH, Labuz JF (2006) Indentation of rock by wedge-shaped tools. Int J Rock Mech Min Sci 43(7):1023–1033CrossRefGoogle Scholar
  9. Chiaia B (2001) Fracture mechanisms induced in a brittle material by a hard cutting indenter. Int J Solids Struct 38(44–45):7747–7768CrossRefGoogle Scholar
  10. Cho JW, Jeon S, Jeong HY, Chang SH (2013) Evaluation of cutting efficiency during TBM disc cutter excavation within a Korean granitic rock using linear-cutting-machine testing and photogrammetric measurement. Tunn Undergr Space Technol 35(4):37–54CrossRefGoogle Scholar
  11. Choi SO, Lee SJ (2015) Three-dimensional numerical analysis of the rock-cutting behavior of a disc cutter using particle flow code. KSCE J Civil Eng 19(4):1129–1138CrossRefGoogle Scholar
  12. Farrokh E, Rostami J (2008) Correlation of tunnel convergence with TBM operational parameters and chip size in the Ghomroud tunnel, Iran. Tunn Undergr Space Technol 23(6):700–710CrossRefGoogle Scholar
  13. Gao F, Xie HP, Zhao P (1994) Fractal properties of size-frequency distribution of rock fragments and the influence of mesostructure. Chin J Rock Mech Eng 13(3):240–246 (in Chinese) Google Scholar
  14. Gertsch R, Gertsch L, Rostami J (2007) Disc cutting tests in Colorado Red Granite: implications for TBM performance prediction. Int J Rock Mech Min Sci 44(2):238–246CrossRefGoogle Scholar
  15. Gong QM, Zhao J, Jiao YY (2005) Numerical modeling of the effects of joint orientation on rock fragmentation by TBM cutters. Tunn Undergr Space Technol 20(1):183–191CrossRefGoogle Scholar
  16. Gong QM, Jiao YY, Zhao J (2006a) Numerical modelling of the effects of joint spacing on rock fragmentation by TBM cutters. Tunn Undergr Space Technol 21(1):46–55CrossRefGoogle Scholar
  17. Gong QM, Zhao J, Hefny AM (2006b) Numerical simulation of rock fragmentation process induced by two TBM cutters and cutting space optimization. Tunn Undergr Space Technol 21(3–4):263CrossRefGoogle Scholar
  18. Gong QM, She QR, Hou ZS, Jiang HT, Peng Q (2010) Experimental study of TBM penetration in marble rock mass under high geostress. Chin J Rock Mech Eng 29(12):2522–2532 (in Chinese) Google Scholar
  19. He MC, Yang GX, Miao JL, Jia XN, Jiang TT (2009) Classification and research methods of rockburst experimental fragments. Chin J Rock Mech Eng 28(8):1521–1529 (in Chinese) Google Scholar
  20. Innaurato N, Oggeri C, Oreste P, Vinai R (2007) Experimental and numerical studies on rock breaking with TBM tools under high stress confinement. Rock Mech Rock Eng 40(5):429–451CrossRefGoogle Scholar
  21. Innaurato N, Oggeri C, Oreste P, Vinai R (2011) Laboratory tests to study the influence of rock stress confinement on the performances of TBM discs in tunnels. Int J Miner Metall Mater 18(3):253–259CrossRefGoogle Scholar
  22. Johnson KL (1985) Contact mechanics. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  23. Lindqvist PA (1982) Rock fragmentation by indentation and disc cutting: some theoretical and experimental studies. PhD dissertation, Luleå Tekniska UniversitetGoogle Scholar
  24. Liu HY, Kou SQ, Lindqvist PA, Tang CA (2002) Numerical simulation of the rock fragmentation process induced by indenters. Int J Rock Mech Min Sci 39(4):491–505CrossRefGoogle Scholar
  25. Liu J, Cao P, Han DY (2016a) Sequential indentation tests to investigate the influence of confining stress on rock breakage by tunnel boring machine cutter in a biaxial state. Rock Mech Rock Eng 49(4):1–17CrossRefGoogle Scholar
  26. Liu J, Cao P, Han DY (2016b) The influence of confining stress on optimum spacing of TBM cutters for cutting granite. Int J Rock Mech Min Sci 88:165–174Google Scholar
  27. Liu QS, Pan Y, Liu JP, Kong XX, Shi K (2016c) Comparison and discussion on fragmentation behavior of soft rock in multi-indentation tests by a single TBM disc cutter. Tunn Undergr Space Technol 57:151–161CrossRefGoogle Scholar
  28. Ma HS, Yin LJ, Ji HG (2011) Numerical study of the effect of confining stress on rock fragmentation by TBM cutters. Int J Rock Mech Min Sci 48(6):1021–1033CrossRefGoogle Scholar
  29. Macias FJ, Jakobsen PD, Seo Y, Bruland A (2014) Influence of rock mass fracturing on the net penetration rates of hard rock TBMs. Tunn Undergr Space Technol 44(3):108–120CrossRefGoogle Scholar
  30. Mishnaevsky LL (1996) Physical mechanisms of hard rock fragmentation under mechanical loading: a review. Int J Rock Mech Min Sci Geomech Abstr 32(4):763–766Google Scholar
  31. Ozdemir L, Miller R, Wang, FD (1978) Mechanical tunnel boring prediction and machine design. Final project Report to NSF APR73-07776-A03, Colorado School of Mines, GoldenGoogle Scholar
  32. Ozdemir L, Wang FD, Snyder L (1979) Mechanical tunnel boring prediction and machine design. Colorado School of Mines Press, GoldenGoogle Scholar
  33. Pang SS, Goldsmith W (1990) Investigation of crack formation during loading of brittle rock. Rock Mech Rock Eng 23(1):53–63CrossRefGoogle Scholar
  34. Paul B, Sikarskie DL (1965) A preliminary theory of static penetration by a rigid wedge into a brittle material. Trans AIME 232:372–383Google Scholar
  35. Rostami J (2013) Study of pressure distribution within the crushed zone in the contact area between rock and disc cutters. Int J Rock Mech Min Sci 57(1):172–186Google Scholar
  36. Rostami J, Ozdemir L (1993) A new model for performance prediction of hardrock TBMs. In: Proceedings of rapid excavation and tunneling conference: society for mining, metallogy and exploration, INC, pp 793–809Google Scholar
  37. Rostami J, Ghasemi A, Gharahbagh EA, Dogruoz C, Dahl F (2014) Study of dominant factors affecting Cerchar abrasivity index. Rock Mech Rock Eng 47(5):1905–1919CrossRefGoogle Scholar
  38. Roxborough FF, Phillips HR (1975) Rock excavation by disc cutter. Int J Rock Mech Min Sci Geomech Abstr 12(12):361–366CrossRefGoogle Scholar
  39. Sanio H (1985) Prediction of the performance of disc cutters in anisotropic rock. Int J Rock Mech Min Sci Geomech Abstr 22(3):153–161CrossRefGoogle Scholar
  40. Sapigni M, Berti M, Bethaz E, Busillo A, Cardone G (2002) TBM performance estimation using rock mass classifications. Int J Rock Mech Min Sci 39(6):771–788CrossRefGoogle Scholar
  41. Tarkoy PJ, Marconi M (1991) Difficult rock comminution and associated geological conditions. In: Proceedings of the 6th international symposium: Tunnelling’91, LondonGoogle Scholar
  42. Teale R (1963) The mechanical excavation of rock—experiments with roller cutters. Int J Rock Mech Min Sci Geomech Abstr 1(1):63–78CrossRefGoogle Scholar
  43. Teale R (1965) The concept of specific energy in rock drilling. Int J Rock Mech Min Sci Geomech Abstr 2(1):57–73CrossRefGoogle Scholar
  44. Xia YM, Tao O, Zhang XM, Luo DZ (2012) Mechanical model of breaking rock and force characteristic of disc cutter. J Cent South Univ 19(7):1846–1852CrossRefGoogle Scholar
  45. Xia Y, Zhang K, Liu J (2015) Design optimization of TBM disc cutters for different geological conditions. World J Eng Tech 3(04):218CrossRefGoogle Scholar
  46. Xie HP, Wang JA, Kwaśniewski MA (1999) Multifractal characterization of rock fracture surfaces. Int J Rock Mech Min Sci 36(1):19–27CrossRefGoogle Scholar
  47. Xie HP, Liu JF, Ju Y, Li J, Xie 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(8):1344–1351CrossRefGoogle Scholar
  48. Xu ZJ, Tan Q, Xia YM, Yi NE, Liu C (2013) Research on numerical simulation of sequential fragmentation mechanism of shield machine cutters. Rock Soil Mech 34(12):3625–3632 (in Chinese) Google Scholar
  49. Yin LJ, Gong QM, Ma HS, Zhao J, Zhao XB (2014) Use of indentation tests to study the influence of confining stress on rock fragmentation by a TBM cutter. Int J Rock Mech Min Sci 72(72):261–276Google Scholar
  50. Zhang ZX (2004) Estimate of loading rate for a TBM machine based on measured cutter forces. Rock Mech Rock Eng 37(3):239–248CrossRefGoogle Scholar
  51. Zhang K, Cao P, Ma GW, Wang WH, Fan WC, Li KH (2015) Strength, fragmentation and fractal properties of mixed flaws. Acta Geotech 4(11):901–912Google Scholar

Copyright information

© Springer-Verlag GmbH Austria 2017

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringThe Hong Kong Polytechnic UniversityHong KongChina
  2. 2.School of Resources and Safety EngineeringCentral South UniversityChangshaChina
  3. 3.Department of Building EngineeringHunan Institute of EngineeringXiangtanChina

Personalised recommendations