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Experimental characterization and dependence of rock fracture permeability on 3D stresses

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Abstract

The effectiveness of transmitting underground fluid in fractured rock mass is significantly influenced by stresses. This paper intends to study the hydraulic behavior of rock fractures under 3D stresses. First, a fracture permeability model has been developed for predicting permeability of rough fractures subjected to 3D stresses on the basis of minimum potential energy principle. Then, a series of transient flow tests are conducted on three fractured shale samples. The test results show that pressure response deviates the exponential behavior at early time, thus the late time data is recommended for permeability calculation. The permeability of fractured rocks are related to 3D stresses, specifically, permeability decreases with the increasing of confining pressure. Variation of curve for fracture deformation versus flow time follows the same trend as the curve for differential pressure versus time (Δp-t), indicating that the pressure decay has a principal dependence on fracture deformation. At last, a comparison between with experimental permeability and the proposed model is tackled, which demonstrates that the proposed model is capable of matching the experimental data for 3D stresses.

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References

  • Ashby MF, Hallam SD (1986) The failure of brittle solids containing small cracks under compressive stress states. Acta Metall 1(34):497–510

    Article  Google Scholar 

  • Brace WF, Walsh J, Frangos W (1968) Permeability of granite under high pressure. J Geophys Res 73:2225–2236

    Article  Google Scholar 

  • Brush DJ, Thomson NR (2003) Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law simulations. Water Resour Res 39:1–15

    Article  Google Scholar 

  • Cao HT, Yi XY, Lu Y, Xiao Y (2016) A fractal analysis of fracture conductivity considering the effects of closure stress. J Nat Gas Sci Eng 32:549–555

    Article  Google Scholar 

  • Chen D, Pan ZJ, Ye ZH (2015) Dependence of gas shale fracture permeability on effective stress and reservoir pressure: model match and insights. Fuel 139:383–392

    Article  Google Scholar 

  • Chen YF, Zhou CB, Sheng YQ (2007) Formulation of strain dependent hydraulic conductivity for a fractured rock mass. Int J Rock Mech Min Sci 44:981–996

    Article  Google Scholar 

  • Cheng L, Rong G, Yang J, Zhou C (2017) Fluid flow through single fractures with directional shear dislocations. Transp Porous Media 118:301–326

    Article  Google Scholar 

  • Cui X, Bustin A, Bustin RM (2009) Measurements of gas permeability and diffusivity of tight reservoir rocks: different approaches and their applications. Geofluids 9:208–223

    Article  Google Scholar 

  • Elsworth D, Goodman RE (1986) Characterization of rock fissure hydraulic conductivity using idealized wall roughness profiles. Int J Rock Mech Min Sci Geomech Abstr 23:233–243

    Article  Google Scholar 

  • Feng R (2017) An optimized transient technique and flow modeling for laboratory permeability measurements of unconventional gas reservoirs with tight structure. J Nat Gas Sci Eng 46:603–614

    Article  Google Scholar 

  • Gavin HP (2015) Strain energy in linear elastic solids. Department of Civil and Environmental Engineering in Duke University, North Carolina

    Google Scholar 

  • Grasselli G, Wirth J, Egger P (2002) Quantitative three-dimensional description of a rough surface and parameter evolution with shearing. Int J Rock Mech Min Sci 39:789–800

    Article  Google Scholar 

  • Guayacan-Carrillo LM, Ghabezloo S, Sulem J et al (2017) Effect of anisotropy and hydro-mechanical couplings on pore pressure evolution during tunnel excavation in low-permeability ground. Int J Rock Mech Min Sci 97:1–14

    Article  Google Scholar 

  • Heiland J (2003) Permeability of triaxially compressed sandstone: influence of deformation and strain-rate on permeability. Pure Appl Geophys 160:889–908

    Article  Google Scholar 

  • Huang N, Liu RC, Jiang YJ, Li B, Yu L (2018) Effects of fracture surface roughness and shear displacement on geometrical and hydraulic properties of three-dimensional crossed rock fracture models. Adv Water Resour 113:30–41

    Article  Google Scholar 

  • Jones SC (1997) A technique for faster pulse-decay permeability measurements in tight rocks. SPE Form Eval 12:19–26

    Article  Google Scholar 

  • Lang PS, Paluszny A, Zimmerman RW (2015) Hydraulic sealing due to pressure solution contact zone growth in siliciclastic rock fractures. J Geophys Res Sol EA 120:4080–4101

    Article  Google Scholar 

  • Lei QH, Latham JP, Xiang JS, Tsang CF (2017) Role of natural fractures in damage evolution around tunnel excavation in fractured rocks. Eng Geol 231:100–113

    Article  Google Scholar 

  • Lemarchand E, Davy CA, Dormieux L, Chen W, Skoczylas F (2009) Micromechanics contribution to coupled transport and mechanical properties of fractured geomaterials. Transp Porous Media 79:335–358

    Article  Google Scholar 

  • Li B, Jiang YJ, Koyama T, Jing L, Tanabashi Y (2008) Experimental study of the hydro-mechanical behavior of rock joints using a parallel-plate model containing contact areas and artificial fractures. Int J Rock Mech Min Sci 45:362–375

    Article  Google Scholar 

  • Mourzenko VV, Thovert JF, Adler PM (2018) Conductivity and transmissivity of a single fracture. Transp Porous Media 123(2):235–256

    Article  Google Scholar 

  • Ougier-Simonin A, Guéguen Y, Fortin J et al (2011) Permeability and elastic properties of cracked glass under pressure. J Geophys Res Atmos 116:4080–4093

    Article  Google Scholar 

  • Rong G, Hou D, Yang J, Cheng L, Zhou C (2017) Experimental study of flow characteristics in non-mated rock fractures considering 3D definition of fracture surfaces. Eng Geol 220:152–163

    Article  Google Scholar 

  • Roy S, Raju R, Chuang HF, Cruden BA, Meyyappan M (2003) Modelling gas flow through microchannels and nanopores. J Appl Phys 93:4870–4879

    Article  Google Scholar 

  • Scesi L, Gattinoni P (2007) Roughness control on hydraulic conductivity in fractured rocks. Hydrogeol J 15:201–211

    Article  Google Scholar 

  • Shen CM, Lin BQ, Sun C, Zhang Q, Li Q (2015) Analysis of the stress-permeability coupling property in water jet slotting coal and its impact on methane drainage. J Pet Sci Eng 126:231–241

    Article  Google Scholar 

  • Singh KK, Singh DN, Ranjith PG (2015) Laboratory simulation of flow through single fractured granite. Rock Mech Rock Eng 48:987–1000

    Article  Google Scholar 

  • Singh KK, Singh DN, Gamage RP (2016) Effect of sample size on the fluid flow through a single fractured granitoid. Int J Rock Mech Min Sci 8:329–340

    Google Scholar 

  • Siratovich PA, Villeneuve MC, Cole JW, Kennedy BM, Bégué F (2015) Saturated heating and quenching of three crustal rocks and implications for thermal stimulation of permeability in geothermal reservoirs. Int J Rock Mech Min Sci 80:265–280

    Article  Google Scholar 

  • Tse R, Cruden DM (1979) Estimating joint roughness coefficients. Int J Rock Mech Min Sci Geomech Abstr 16:303–307

    Article  Google Scholar 

  • Wang ZH, Xu CH, Dowd P (2018) A modified cubic law for single-phase saturated laminar flow in rough rock fractures. Int J Rock Mech Min Sci 103:107–115

    Article  Google Scholar 

  • Wu D, Deng TF, Zhao RK, Wang Y (2018) THM modeling of ground subsidence induced by excavation of subway tunnel. Comput Geotech 94:1–11

    Article  Google Scholar 

  • Yang SQ, Tian WL, Ranjith PG (2017) Failure mechanical behavior of Australian strathbogie granite at high temperatures: insights from particle flow modeling. Energies 10:756

    Article  Google Scholar 

  • Yeo IW, de Freitas MH, Zimmerman RW (1998) Effect of shear displacement on the aperture and permeability of a rock fracture. Int J Rock Mech Min Sci Geomech Abstr 35:1051–1070

    Article  Google Scholar 

  • Zhao YL, Wang Y, Wang WJ, Wan W, Tang J (2017a) Modeling of non-linear rheological behavior of hard rock using triaxial rheological experiment. Int J Rock Mech Min Sci 93:66–75

    Article  Google Scholar 

  • Zhao YL, Zhang LY, Wang WJ, Tang J, Lin H, Wan W (2017b) Transient pulse test and morphological analysis of single rock fractures. Int J Rock Mech Min Sci 91:139–154

    Article  Google Scholar 

  • Zhao YS, Yang D, Zheng SH et al (1999) Experimental study on water seepage constitutive law of fracture in rock under 3D stress. Science in China (Series E) 1:108–112 (in Chinese)

    Article  Google Scholar 

  • Zhao YS, Hu YQ, Zhao BH, Yang D (2004) Nonlinear coupled mathematical model for solid deformation and gas seepage in fractured media. Transp Porous Media 55:119–136

    Article  Google Scholar 

  • Zhu LQ, Zhang C, Wei Y (2017) Permeability prediction of the tight sandstone reservoirs using hybrid intelligent algorithm and nuclear magnetic resonance logging data. Arab J Sci Eng 42:1643–1654

    Article  Google Scholar 

  • Zou L, Jing L, Cvetkovic V (2017) Shear enhanced nonlinear flow in rough-walled rock fractures. Int J Rock Mech Min Sci 2017(97):33–45

    Article  Google Scholar 

Download references

Funding

This work was financially supported by the National Natural Science Foundation of China [grant numbers No. 51374257, No. 50804060, No. 51774131, and No.51774132].

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Correspondence to Chaolin Wang.

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Zhao, Y., Wang, C., Zhao, Y. et al. Experimental characterization and dependence of rock fracture permeability on 3D stresses. Arab J Geosci 12, 41 (2019). https://doi.org/10.1007/s12517-018-4200-4

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  • DOI: https://doi.org/10.1007/s12517-018-4200-4

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