DOI QR코드

DOI QR Code

Numerical simulation of the effect of confining pressure and tunnel depth on the vertical settlement using particle flow code (with direct tensile strength calibration in PFC Modeling)

  • Haeri, Hadi (State Key Laboratory for Deep GeoMechanics and Underground Engineering) ;
  • Sarfarazi, Vahab (Department of Mining Engineering, Hamedan University of Technology) ;
  • Marji, Mohammad Fatehi (Mine Exploitation Engineering Department, Faculty of Mining and Metallurgy, Institution of Engineering, Yazd University)
  • Received : 2019.05.19
  • Accepted : 2019.12.21
  • Published : 2020.04.25

Abstract

In this paper the effect of confining pressure and tunnel depth on the ground vertical settlement has been investigated using particle flow code (PFC2D). For this perpuse firstly calibration of PFC2D was performed using both of tensile test and triaxial test. Then a model with dimention of 100 m × 100 m was built. A circular tunnel with diameter of 20 m was drillled in the middle of the model. Also, a rectangular tunnel with wide of 10 m and length of 20 m was drilled in the model. The center of tunnel was situated 15 m, 20 m, 25 m, 30 m, 35 m, 40 m, 45 m, 50 m, 55 m and 60 m below the ground surface. these models are under confining pressure of 0.001 GPa, 0.005 GPa, 0.01 GPa, 0.03 GPa, 0.05 GPa and 0.07 GPa. The results show that the volume of colapce zone is constant by increasing the distance between ground surface and tunnel position. Also, the volume of colapce zone was increased by decreasing of confining pressure. The maximum of settlement occurs at the top of the tunnel roof. The maximum of settlement occurs when center of tunnel was situated 15 m below the ground surface. The settlement decreases by increasing the distance between tunnel center line and measuring circles in the ground surface. The minimum of settlement occurs when center of circular tunnel was situated 60 m below the surface ground. Its to be note that the settlement increase by decreasing the confining pressure.

Keywords

References

  1. Abdollahi, M.S., Najafi, M., Bafghi, A.Y. and Marji, M.F. (2019), "A 3D numerical model to determine suitable reinforcement strategies for passing TBM through a fault zone, a case study: Safaroud water transmission tunnel", Iran Tunnel. Undergr. Space Technol., 88, 186-199. https://doi.org/10.1016/j.tust.2019.03.008
  2. Adachi, T., Kimura, M. and Kishad, K. (2003), "Experimental study on the distribution of earth pressure and surface settlement through three-dimensional trapdoor tests", Tunnel. Undergr. Space Technol., 18(2-3), 171-183. https://doi.org/10.1016/S0886-7798(03)00025-7
  3. Attewell, P.B. and Yeates, J. (1984), Ground Movements and their Effects on Structures, Blackie and Son Ltd., Attewell, P.B. and Taylor, R.K.
  4. Bi, J., Zhou, X.P. and Qian, Q.H. (2016), "The 3D numerical simulation for the propagation process of multiple pre-existing flaws in rock-like materials subjected to biaxial compressive loads", Rock Mech. Rock Eng., 49(5), 1611-1627. https://doi.org/10.1007/s00603-015-0867-y
  5. Bobet, A. (2001), "Analytical solutions for shallow tunnels in saturated ground", J. Eng. Mech., 127(12), 1258-1266. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:12(1258)
  6. Boscardin, M.D. and Cording, E.J. (1989), "Building response to excavation-induced settlement", J. Geotech. Eng., 115(1), 1-21. https://doi.org/10.1061/(ASCE)0733-9410(1989)115:1(1)
  7. Boumaaza, M., Bezazi, A., Bouchelaghem, H., Benzennache, N., Amziane, S. and Scarpa, F. (2017), "Behavior of pre-cracked deep beams with composite materials repairs", Struct. Eng. Mech., Int. J., 63(4), 43-56. https://doi.org/10.12989/sem.2017.63.5.575
  8. Broms, B.B. and Bennermark, H. (1967), "Stability of clay at vertical openings", J. Soil Mech. Found. Div., 93, 71-94. https://doi.org/10.1061/JSFEAQ.0000946
  9. Cai, M., Kaiser, P.K., Morioka, H., Minami, M. and Maejima, T. (2007), "FLAC/PFC coupled numerical simulation of AE in large-scale underground excavations", Int. J. Rock Mech. Mining Sci., 44(4), 550-564. https://doi.org/10.1016/j.ijrmms.2006.09.013
  10. Chakeri, H. and U nver, B. (2014), "A new equation for estimating the maximum surface settlement above tunnels excavated in soft ground", Environ. Earth, 71(7), 3195-3210. https://doi.org/10.1007/s12665-013-2707-2
  11. Chakeri, H., Ozcelik, Y. and Unver, B. (2013), "Effects of important factors on surface settlement prediction for metro tunnel excavated by EPB", Tunnel. Undergr. Space Technol., 36, 14-23. https://doi.org/10.1016/j.tust.2013.02.002
  12. Chou, W.-I. and Bobet, A. (2002), "Predictions of ground deformations in shallow tunnels in clay", Tunnel. Undergr. Space Technol., 17(1), 3-19. https://doi.org/10.1016/S0886-7798(01)00068-2
  13. Clough, G.W., Sweeney, S.P. and Finno, R.J. (1983), "Measured soil response to EPB shield tunneling", J. Geotech. Geoenviron. Eng., 109(2), 131-149. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:2(131)
  14. Cundall, P.A. (1971), "A computer model for simulating progressive large scale movements in blocky rock systems", Proceeding of the Symposium of the International Society for Rock Mechanics, Nancy, France, Vol. 1, No. 8.
  15. Cundall, P.A. and Strack, O.D.L. (1979), "A discrete numerical model for granular assemble", Geotechnique, 29(1), 47-65. https://doi.org/10.1680/geot.1979.29.1.47
  16. Davis, E.H., Gunn, M.J., Mair, R.J. and Seneviratne, H.N. (1980), "The stability of shallow tunnels and underground openings in cohesive material", Geotechnique, 30(4), 397-416. https://doi.org/10.1680/geot.1980.30.4.397
  17. Dindarloo, S.R. and Siami-Irdemoosa, E. (2015), "Maximum surface settlement based classification of shallow tunnels in soft ground", Tunnel. Undergr. Space Technol., 49(1), 320-327. https://doi.org/10.1016/j.tust.2015.04.021
  18. Franzius, J., Potts, D. and Burland, J. (2005), "The influence of soil anisotropy and K0 on ground surface movements resulting from tunnel excavation", Geotechnique, 55(3), 189-199. https://doi.org/10.1680/geot.2005.55.3.189
  19. Goh, A.T.C., Zhang, W.G., Zhang, Y.M., Xiao, Y. and Xiang, Y.Z. (2017), "Determination of EPB tunnelrelated maximum surface settlement: A multivariate adaptive regression splines approach", Bull. Eng. Geol. Environ., 77, 489-500. https://doi.org/10.1007/s10064-016-0937-8
  20. Haeri, H. (2015), "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
  21. Haeri, H. and Marji, M.F. (2016), "Simulating the crack propagation and cracks coalescence underneath TBM disc cutters", Arab. J. Geosci., 9(2), 124. https://doi.org/10.1007/s12517-015-2137-4
  22. Haeri, H. and Sarfarazi, V. (2016), "The effect of non-persistent joints on sliding direction of rock slopes", Comput. Concrete, Int. J., 17(6), 723-737. https://doi.org/10.12989/cac.2016.17.6.723
  23. Haeri, H., Khaloo, A. and Marji, M.F. (2015), "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
  24. Haeri, H., Sarfarazi, V. and Hedayat, A. (2016), "Suggesting a new testing device for determination of tensile strength of concrete", Struct. Eng. Mech., Int. J., 60(6), 939-952. https://doi.org/10.12989/sem.2016.60.6.939
  25. Hosseini_Nasab, H. and Fatehi Marji, M. (2007), "A semi-infinite higher-order displacement discontinuity method and its application to the quasistatic analysis of radial cracks produced by blasting", J. Mech. Mater. Struct., 2(3), 439-458. https://doi.org/10.2140/jomms.2007.2.439
  26. Kasper, T. and Meschke, G. (2004), "A 3D finite element simulationmodel for TBM tunnelling in soft ground", Int. J. Numer. Anal. Methods Geomech., 28(14), 1441-1460. https://doi.org/10.1002/nag.395
  27. Lak, M., Marji, M.F., Bafghi, A.Y. and Abdollahipour, A. (2019), "Analytical and numerical modeling of rock blasting operations using a two-dimensional elasto-dynamic Green's function", Int. J. Rock Mech. Mining Sci., 114, 208-217. https://doi.org/10.1016/j.ijrmms.2018.12.022
  28. Lee, C.J., Wu, B.R. and Chen, H.T. (2006), "Tunnel stability and arching effects during tunneling in soft clayey soil", Tunnel. Undergr. Space Technol., 21(2), 119-132. https://doi.org/10.1016/j.tust.2005.06.003
  29. Liao, S.-M., Liu, J.-H., Wang, R.-L. and Li, Z.-M. (2009), "Shield tunneling and environment protection in Shanghai soft ground", Tunnel. Undergr. Space Technol., 24(4), 454-465. https://doi.org/10.1016/j.tust.2008.12.005
  30. Loganathan, N. and Poulos, H. (1998), "Analytical prediction for tunneling-induced ground movements in clays", J. Geotech. Geoenviron. Eng., 124(9), 846-856. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:9(846)
  31. Mair, R.J. (1979), "Centrifugal Modelling of Tunnel Construction in Soft Clay", Ph.D. Thesis; Cambridge University.
  32. Mair, R.J. and Taylor, R.N. (1997), "Bored tunnelling in the urban environment", Proceedings of the 14th International Conference on Soil Mechanics and Foundation Engineering, Vol. 4, pp. 2353-2385.
  33. Mair, R.J., Gunn, M.J. and O'Reilly, M.P. (1981), "Centrifugal testing of model tunnels in soft clay", Proceedings of the 10th International Conference on Soil Mechanics and Foundation Engineering, Vol. 1, pp. 323-328.
  34. Marji, M.F. (2015), "Simulation of crack coalescence mechanism underneath single and double disc cutters by higher order displacement discontinuity method", J. Central South Univ., 22(3), 1045-1054. https://doi.org/10.1007/s11771-015-2615-6
  35. Marji, M., Hosseini Nasab, H. and Hossein Morshedi, A. (2009), "Numerical modeling of crack propagation in rocks under TBM disc cutters", J. Mech. Mater. Struct., 4(3), 605-627. https://doi.org/10.2140/jomms.2009.4.605
  36. Melis, M., Medina, L. and Rodriguez, J.M. (2002), "Prediction and analysis of subsidence induced by shield tunnelling in the Madrid Metro extension", Can. Geotech. J., 39(6), 1273-1287. https://doi.org/10.1139/t02-073
  37. Mirsalari, S.E., Fatehi Marji, M., Gholamnejad, J. and Najafi, M. (2017), "A boundary element/finite difference analysis of subsidence phenomenon due to underground structures", J. Mining Environ., 8(2), 237-253. https://doi.org/10.22044/JME.2016.759
  38. Monfared, M.M. (2017), "Mode III SIFs for interface cracks in an FGM coating-substrate system", Struct. Eng. Mech., Int. J., 64(1), 78-95. https://doi.org/10.12989/sem.2017.64.1.071
  39. Nabil, B., Abdelkader, B., Miloud, A. and Noureddine, B. (2012), "On the mixed-mode crack propagation in FGMs plates: comparison of different criteria", Struct. Eng. Mech., Int. J., 61(3), 201-213. https://doi.org/10.12989/sem.2017.61.3.371
  40. Neaupane, K.M. and Adhikari, N. (2006), "Prediction of tunnelinginduced ground movement with the multi-layer perceptron", Tunnel. Undergr. Space Technol., 21(2), 151-159. https://doi.org/10.1016/j.tust.2005.07.001
  41. Ng, C.W., Shi, J. and Hong, Y. (2013), "Three-dimensional centrifuge modeling of basement excavation effects on an existing tunnel in dry sand", Can. Geotech. J., 50(8), 874-888. https://doi.org/10.1139/cgj-2012-0423
  42. Nikadat, N. and Marji, M.F. (2016), "Analysis of stress distribution around tunnels by hybridized FSM and DDM considering the influences of joints parameters", Geomech. Eng., Int. J., 11(2), 269-288. https://doi.org/10.12989/gae.2016.11.2.269
  43. Nikadat, N., Fatehi, M. and Abdollahipour, A. (2015), "Numerical modelling of stress analysis around rectangular tunnels with large discontinuities (fault) by a hybridized indirect BEM", J. Central South Univ., 22(11), 4291-4299. https://doi.org/10.1007/s11771-015-2977-9
  44. O'Reilly, M.P. and New, B.M. (1982), "Settlements above tunnels in the United Kingdom-Their magnitude and prediction", Tunnelling '82. Proceedings of the 3rd International Symposium, Institution of Mining & Metallurgy, London, UK, pp. 173-181.
  45. Oda, M. and Kazama, H. (1998), "Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils", Geotechnique, 48(4), 465-481. https://doi.org/10.1680/geot.1998.48.4.465
  46. Ou, C.-Y., Teng, F.-C. and Wang, I.-W. (2008), "Analysis and design of partial ground improvement in deep excavations", Comput. Geotech., 35(4), 576-584. https://doi.org/10.1016/j.compgeo.2007.09.005
  47. Pan, B., Gao, Y. and Zhong, Y. (2014), "Theoretical analysis of overlay resisting crack propagation in old cement concrete pavement", Struct. Eng. Mech., Int. J., 52(4) 167-181. https://doi.org/10.12989/sem.2014.52.4.829
  48. Panaghi, K., Golshani, A. and Takemura, T. (2015), "Rock failure assessment based on crack density and anisotropy index variations during triaxial loading tests", Geomech. Eng., Int. J., 9(6), 793-813. https://doi.org/10.12989/gae.2015.9.6.793
  49. Papastamos, G., Stiros, S., Saltogianni, V. and Kontogianni, V. (2014), "3-D strong tilting observed in tall, isolated brick chimneys during the excavation of the Athens Metro", Appl. Geomatics, 7(2), 115-121. https://doi.org/10.1007/s12518-014-0138-8
  50. Park, K. (2004), "Elastic solution for tunneling-induced ground movements in clays", Int. J. Geomech., 4(4), 310-318. https://doi.org/10.1061/(ASCE)1532-3641(2004)4:4(310)
  51. Peck, R.B. (1969), "Deep excavations and tunneling in soft ground", Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering, Mexico, pp. 225-290.
  52. PFC 2D (particle flow code in two dimensions) (1999), version 1.1. Itasca Consulting Group; Inc., Minneapolis, MN, USA, ICG.
  53. Potyondy, D.O. and Cundall, P.A. (2004), "A bounded-particle model for rock", Int. J. Rock Mech. Min. Sci., 41(8), 1329-1364. https://doi.org/10.1016/j.ijrmms.2004.09.011
  54. Ramadoss, P. and Nagamani, K. (2013), "Stress-strain behavior and toughness of high-performance steel fiber reinforced concrete in compression", Comput. Concrete, Int. J., 11(2), 55-65. https://doi.org/10.12989/cac.2013.11.2.149
  55. Rothenburg, L. and Bathurst, R.J. (1989), "Analytical study of induced anisotropy in idealized granular materials", Geotechnique, 39(4), 601-614. https://doi.org/10.1680/geot.1989.39.4.601
  56. Suwansawat, S. and Einstein, H.H. (2006), "Artificial neural networks for predicting the maximum surface settlement caused by EPB shield tunneling", Tunnel. Undergr. Space Technol., 21(2), 133-150. https://doi.org/10.1016/j.tust.2005.06.007
  57. Wan, M.S.P., Standing, J.R., Potts, D.M. and Burland, J.B. (2016), "Measured short-term ground surface response to EPBM tunneling in London Clay", Geotechnique, 67(5), 420-445. https://doi.org/10.1680/jgeot.16.P.099
  58. Wang, F., Gou, B. and Qin, Y. (2013), "Modeling tunnelinginduced ground surface settlement development using a wavelet smooth relevance vector machine", Comput. Geotech., 54(1), 125-132. https://doi.org/10.1016/j.compgeo.2013.07.004
  59. Wu, X., Liu, H., Zhang, L., Skibniewski, M.J., Deng, Q. and Teng, J. (2015), "A dynamic Bayesian network based approach to safety decision supportintunnelconstruction", Reliab. Eng. Syst. Safe., 134(1), 157-168. https://doi.org/10.1016/j.ress.2014.10.021
  60. Yoo, C. and Lee, D. (2008), "Deep excavation-induced ground surface movement characteristics-A numerical investigation", Comput. Geotech., 35(2), 231-252. https://doi.org/10.1016/j.compgeo.2007.05.002
  61. Zhang, L., Wu, X., Chen, Q., Skibniewski, M.J. and Zhong, J. (2015), "Developing a cloud model based risk assessment methodology for tunnel-induced damage to existing pipelines", Stochastic Environ. Res. Risk Assess., 29(2), 513-526. https://doi.org/10.1007/s00477-014-0878-3
  62. Zhou, X.P. and Bi, J. (2018), "Numerical simulation of thermal cracking in rocks based on general particle dynamics", J. Eng. Mech., 144(1), 04017156. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001378

Cited by

  1. Study on mechanical behavior and damage process of concrete with initial damage under eccentric load vol.11, pp.1, 2021, https://doi.org/10.1038/s41598-021-95964-x