Geomechanics and Engineering

  • 제22권5호
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  • Pages.375-384
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  • 2020
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

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Analysis of permeability in rock fracture with effective stress at deep depth

  • Lee, Hangbok (Center for Deep Subsurface Research, Korea Institute of Geoscience and Mineral Resources) ;
  • Oh, Tae-Min (Department of Civil and Environmental Engineering, Pusan National University) ;
  • Park, Chan (Center for Deep Subsurface Research, Korea Institute of Geoscience and Mineral Resources)
  • 투고 : 2019.07.25
  • 심사 : 2020.07.16
  • 발행 : 2020.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, the application of conventional cubic law to a deep depth condition was experimentally evaluated. Moreover, a modified equation for estimating the rock permeability at a deep depth was suggested using precise hydraulic tests and an effect analysis according to the vertical stress, pore water pressure and fracture roughness. The experimental apparatus which enabled the generation of high pore water pressure (< 10 MPa) and vertical stress (< 20 MPa) was manufactured, and the surface roughness of a cylindrical rock sample was quantitatively analyzed by means of 3D (three-dimensional) laser scanning. Experimental data of the injected pore water pressure and outflow rate obtained through the hydraulic test were applied to the cubic law equation, which was used to estimate the permeability of rock fracture. The rock permeability was estimated under various pressure (vertical stress and pore water pressure) and geometry (roughness) conditions. Finally, an empirical formula was proposed by considering nonlinear flow behavior; the formula can be applied to evaluations of changes of rock permeability levels in deep underground facility such as nuclear waste disposal repository with high vertical stress and pore water pressure levels.

키워드

참고문헌

  1. Barree, R.D. and Conway, M.W. (2004), "Beyond beta factors: A complete model for Darcy Forchheimer and trans-Forchheimer flow in porous media", Proceedings of the SPE89325 Annual Technical Conference and Exhibition, Houston, Texas, U.S.A., September.
  2. Deng, D.P., Li, L. and Zhao, L.H. (2019), "Stability analysis of slopes under groundwater seepage and application of charts for optimization of drainage design", Geomech. Eng., 17(2), 181-194. https://doi.org/10.12989/gae.2019.17.2.181.
  3. Forchheimer, P.H. (1901), "Wasserbewegung durch boden", Z. Ver. Deutsch. Ing., 50, 1781-1788.
  4. Goldarag, F.E., Barzegar, S. and Babaei, A. (2015), "An experimental method for measuring the clamping force double lap simple bolted and hybrid (bolted-bonded) joints", T. Famena., 39(3), 87-94.
  5. Hassanizadeh, S.M. and Gray, W.G. (1987), "High velocity flow in porous media", Transport Porous Med., 2(6), 521-531. https://doi.org/10.1007/BF00192152.
  6. Hu, D.W., Zhu, Q.Z., Zhou, H. and Shao, J.F. (2010), "A discrete approach for anisotropic plasticity and damage in semi-brittle rocks", Comput. Geotech., 37(5), 658-666. https://doi.org/10.1016/j.compgeo.2010.04.004.
  7. Indraranta, B., Ranjith, P.G. and Gale, W. (1999), "Single phase water flow through rock fractures", Geotech. Geol. Eng., 17(3-4), 211-240. https://doi.org/10.1023/A:1008922417511.
  8. Izbash, S.V. (1931), "O filtracii V Kropnozernstom Materiale", USSR, Lehingrad (in Russian).
  9. Ji, S.H., Koh, Y.K. and Choi, J.W. (2012), "The state-of-the art of the borehole disposal concept for high level radioactive waste", J. Korean Radioactive Waste Soc., 10(1), 55-62. https://doi.org/10.7733/jkrws.2012.10.1.055.
  10. Kim, J., Kim, J., Lee, J. and Yoo, H. (2018), "Prediction of transverse settlement trough considering the combined effects of excavation and groundwater depression", Geomech. Eng., 15(3), 851-859. https://doi.org/10.12989/gae.2018.15.3.851.
  11. Lee, H., Oh, T.M., Park, E.S., Lee, J.W. and Kim, H.M. (2017), "Factors affecting waterproof efficiency of grouting in single rock fracture", Geomech. Eng., 12(5), 771-783. https://doi.org/10.12989/gae.2017.12.5.771.
  12. Lucas, Y., Panfilov, M. and Bues, M. (2007), "High velocity flow through fractured and porous media: The role of flow non-periodicity", Eur. J. Mech. B Fluid., 26(2), 295-303. https://doi.org/10.1016/j.euromechflu.2006.04.005.
  13. Mahyari, A.T. and Selvadurai, A.P.S. (1998), "Enhanced consolidation in brittle geomaterials susceptible to damage", Mech. Coh Fric. Mat., 3(3), 291-303. https://doi.org/10.1002/(SICI)1099-1484(199807)3:3<291::AID-CFM53>3.0.CO;2-K.
  14. Massart, T.J. and Selvadurai, A.P.S. (2012), "Stress-induced permeability evolution in quasi-brittle geomaterials", J. Geophys. Res. Solid Earth, 117(B7), B07207. https://doi.org/10.1029/2012JB009251.
  15. Najari, M. and Selvadurai, A.P.S. (2014), "Thermo-hydro-mechanical response of granite to temperature changes", Environ. Earth Sci., 72(1), 189-198. https://doi.org/10.1007/s12665-013-2945-3.
  16. Nguyen, T.S. and Jing, L. (2008), "DECOVALEX-THMC Project. Task A. Influence of near field coupled THM phenomena on the performance of a spent fuel repository", Report of Task A2, SKI Report 44, 1-100.
  17. Ranjith, P.G. (2010), "An experimental study of single and two-phase fluid flow through fractured granite specimens", Environ. Earth Sci., 59(7), 1389-1395. https://doi.org/10.1007/s12665-009-0124-3.
  18. Ranjith, P.G. and Viete, D.R. (2011), "Applicability of the 'cubic law' for non-Darcian fracture flow", J. Petrol. Sci. Eng., 78(2), 321-327. https://doi.org/10.1016/j.petrol.2011.07.015.
  19. Roy, D.G. and Singh, T.N. (2015), "Fluid flow through rough rock fractures: Parametric study", Int. J. Geomech., 16(3), 04015067. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000522.
  20. Rutqvist, J., Freifeld, B., Min, K.B., Elsworth, D. and Tsang, Y. (2008), "Analysis of thermally induced changes in fractured rock permeability during eight years of heating and cooling at the Yucca Mountain Drift Scale Test", Int. J. Rock Mech. Min. Sci., 45(8), 1373-1389. https://doi.org/10.1016/j.ijrmms.2008.01.016.
  21. Saberhosseini, E., Keshavarzi, R. and Ahangari, K. (2014), "A new geomechanical approach to investigate the role of in-situ stresses and pore pressure on hydraulic fracture pressure profile in vertical and horizontal oil wells", Geomech. Eng., 7(3), 233-246. https://doi.org/10.12989/gae.2014.7.3.233.
  22. Selvadurai, A.P.S. (2004), "Stationary damage modelling of poroelastic contact", Int. J. Solids Struct., 41(8), 2043-2064. https://doi.org/10.1016/j.ijsolstr.2003.08.023.
  23. Selvadurai, A.P.S. (2014), "Normal stress-induced permeability hysteresis of a fracture in a granite cylinder", Geofluids, 15(1-2), 37-47. https://doi.org/10.1111/gfl.12107.
  24. Selvadurai, A.P.S. and Glowacki, A. (2008), "Evolution of permeability hysteresis of Indiana Limestone during isotropic compression", Ground Water, 46(1), 113-119. https://doi.org/10.1111/j.1745-6584.2007.00390.x.
  25. Singh, K.K., Singh, D.N. and Ranjith, P.G. (2015), "Laboratory simulation of flow through single fractured granite", Rock Mech. Rock Eng., 48(3), 987-1000. https://doi.org/10.1007/s00603-014-0630-9.
  26. Tse, R. and Cruden, D.M. (1979), "Estimating joint roughness coefficients", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 16(5), 303-307. https://doi.org/10.1016/0148-9062(79)90241-9.
  27. Wang, J., Li, S.C., Li, L.P. and Gao, C.L. (2018), "Influence of fracture characters on flow distribution under different Reynold numbers", Geomech. Eng., 14(2), 187-193. https://doi.org/10.12989/gae.2018.14.2.187.
  28. Wang, Z., Kwon, S., Qiao, L., Bi, L. and Yu, L. (2017), "Estimation of groundwater inflow into an underground oil storage facility in granite", Geomech. Eng., 12(6), 1003-1020. https://doi.org/10.12989/gae.2017.12.6.1003.
  29. Wu, Y.S., Lai, B., Miskimins, J.L. and Fakcharoenphol, P. and Di, Y. (2011), "Analysis of multiphase non-Darcy flow in porous and fractured media", Transport Porous Med., 88(2), 205-223. https://doi.org/10.1007/s11242-011-9735-8.
  30. Zhang, J. and Wang, X. (2017), "Permeability-increasing effects of hydraulic flushing based on flow-solid coupling", Geomech. Eng., 13(2), 285-300. https://doi.org/10.12989/gae.2017.13.2.285.
  31. Zhou, J.J., Shao, J.F. and Xu, W.Y. (2006), "Coupled modeling of damage growth and permeability variation in brittle rocks", Mech. Res. Commun., 33(4), 450-459. https://doi.org/10.1016/j.mechrescom.2005.11.007.
  32. Zimmerman, R.W. and Bodvarsson, G.S. (1996), "Hydraulic conductivity of rock fractures", Transport Porous Med., 23(1), 1-30. https://doi.org/10.1007/BF00145263.
  33. Zimmerman, R.W., Al-Yaarubi, A.H., Pain, C.C. and Grattoni, C.A. (2004), "Nonlinear regimes of fluid flow in rock fractures", Int. J. Rock Mech. Min. Sci., 41, 1A27. https://doi.org/10.1016/j.ijrmms.2004.03.036.