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Laboratory investigations of inert gas flow behaviors in compact sandstone

  • Chaojun Jia
  • Weiya Xu
  • Huanling Wang
  • Wei Wang
  • Jun Yu
  • Zhinan Lin
Original Article

Abstract

The seepage evolution behavior of compact rock is significant for the stability and safety of many engineering applications. In this research, both hydrostatic and triaxial compression tests were conducted on compact sandstone using an inert gas, namely argon. A triaxial compression test with a water permeability measurement was carried out to study the difference between the gas permeability and water permeability evolutions during the complete stress–strain process. Based on the experimental data, the hydrostatic stress-dependent gas permeability was discussed firstly. A second-order function was proposed to predict and explain the gas slippage effect. The mechanical properties and crack development of the sandstone samples were discussed to better understand the permeability evolution with crack growth during the complete stress–strain process. The results show that the gas permeability evolution can be divided into five stages according to the different crack growth stages. Then, the permeability changes in the crack closure stress \( \sigma_{\text{cc}} \), crack initiation stress \( \sigma_{\text{ci}} \), crack damage stress \( \sigma_{\text{cd}} \) and peak stress \( \sigma_{\text{p}} \) with confining pressures were analyzed. Finally, we found that the difference between the corrected gas permeability and water permeability can be attributed to the interaction between the water and sandstone grains.

Keywords

Compact sandstone Inert gas Permeability Slippage effect Triaxial compaction Hydrostatic compression 

Notes

Acknowledgements

This work presented in this paper was financially supported by the National Natural Science Foundation of China (Grant Nos. 11172090, 11572110, 11672343), and the Natural Science Foundation of Jiangsu Province (Grant No. BK2012809). We thank AJE (www.aje.com) for its linguistic assistance during the preparation of this manuscript.

References

  1. Anez L, Calas-Etienne S, Primera J, Woignier T (2014) Gas and liquid permeability in nano composites gels: comparison of Knudsen and Klinkenberg correction factors. Micropor Mesopor Mater 200:79–85.  https://doi.org/10.1016/j.micromeso.2014.07.049 CrossRefGoogle Scholar
  2. Baud P, Zhu W, Wong TF (2000) Failure mode and weakening effect of water on sandstone. J Geophys Res Atmos 105:16371–16389CrossRefGoogle Scholar
  3. Baud P, Meredith P, Townend E (2012) Permeability evolution during triaxial compaction of an anisotropic porous sandstone. J Geophys Res 117:81–88CrossRefGoogle Scholar
  4. Birgersson M, Akesson M, Hokmark H (2008) Gas intrusion in saturated bentonite—a thermodynamic approach. Phys Chem Earth 33:S248–S251.  https://doi.org/10.1016/j.pce.2008.10.039 CrossRefGoogle Scholar
  5. Brace WF, Walsh JB, Frangos WT (1968) Permeability of granite under high pressure. J Geophys Res 73:2225–2236CrossRefGoogle Scholar
  6. Chen XT, Caratini G, Davy CA, Troadec D, Skoczylas F (2013) Coupled transport and poro-mechanical properties of a heat-treated mortar under confinement. Cem Concr Res 49:10–20CrossRefGoogle Scholar
  7. Dana E, Skoczylas F (1999) Gas relative permeability and pore structure of sandstones. Int J Rock Mech Min 36:613–625.  https://doi.org/10.1016/s0148-9062(99)00037-6 CrossRefGoogle Scholar
  8. David C, Wong T-F, Zhu W, Zhang J (1994) Laboratory measurement of compaction-induced permeability change in porous rocks: implications for the generation and maintenance of pore pressure excess in the crust. Pure appl Geophys 143:425–456.  https://doi.org/10.1007/bf00874337 CrossRefGoogle Scholar
  9. Davy CA, Skoczylas F, Barnichon JD, Lebon P (2007) Permeability of macro-cracked argillite under confinement: gas and water testing. Phys Chem Earth Parts A/B/C 32:667–680.  https://doi.org/10.1016/j.pce.2006.02.055 CrossRefGoogle Scholar
  10. Dewhurst DN, Aplin AC, Sarda JP, Yang Y (1998) Compaction-driven evolution of porosity and permeability in natural mudstones: an experimental study. J Geophys Res Solid Earth 103:651–661CrossRefGoogle Scholar
  11. Ding Q-L, Ju F, Song S-B, Yu B-Y, Ma D (2016) An experimental study of fractured sandstone permeability after high-temperature treatment under different confining pressures. J Nat Gas Sci Eng 34:55–63CrossRefGoogle Scholar
  12. Dong J-J et al (2010) Stress-dependence of the permeability and porosity of sandstone and shale from TCDP Hole-A. Int J Rock Mech Min 47:1141–1157CrossRefGoogle Scholar
  13. Dong M, Li Z, Li S, Yao J (2012) Permeabilities of tight reservoir cores determined for gaseous and liquid CO2 and C2H6 using minimum backpressure method. J Nat Gas Sci Eng 5:1–5.  https://doi.org/10.1016/j.jngse.2011.08.006 CrossRefGoogle Scholar
  14. Eberhardt E, Stead D, Stimpson B (1999) Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression. Int J Rock Mech Min 36:361–380CrossRefGoogle Scholar
  15. Farquharson JI, Heap MJ, Baud P (2016) Strain-induced permeability increase in volcanic rock. Geophys Res Lett 43:11,603–611,610CrossRefGoogle Scholar
  16. Goodall DC, Åberg B, Brekke TL (1988) Fundamentals of gas containment in unlined rock caverns. Rock Mech Rock Eng 21:235–258.  https://doi.org/10.1007/bf01020278 CrossRefGoogle Scholar
  17. Harpalani S, Schraufnagel RA (1990) Shrinkage of coal matrix with release of gas and its impact on permeability of coal. Fuel 69:551–556.  https://doi.org/10.1016/0016-2361(90)90137-F CrossRefGoogle Scholar
  18. Hatzor Y, Palchik V (1997) The influence of grain size and porosity on crack initiation stress and critical flaw length in dolomites. Int J Rock Mech Min 34:805–816CrossRefGoogle Scholar
  19. Heap MJ, Baud P, Meredith PG, Bell AF, Main IG (2009) Time-dependent brittle creep in Darley Dale sandstone. J Geophys Res Solid Earth 114:1–22.  https://doi.org/10.1029/2008jb006212 CrossRefGoogle Scholar
  20. Indraratna B, Haque A (1999) Triaxial equipment for measuring the permeability and strength of intact and fractured rocks. Geotechnique 49:515–521CrossRefGoogle Scholar
  21. Jasinge D, Ranjith PG, Choi SK (2011) Effects of effective stress changes on permeability of latrobe valley brown coal. Fuel 90:1292–1300.  https://doi.org/10.1016/j.fuel.2010.10.053 CrossRefGoogle Scholar
  22. Jobmann M, Wilsnack T, Voigt HD (2010) Investigation of damage-induced permeability of Opalinus clay. Int J Rock Mech Min 47:279–285.  https://doi.org/10.1016/j.ijrmms.2009.11.009 CrossRefGoogle Scholar
  23. Klinkenberg LJ (1941) The permeability of porous media to liquid and gases. API Drilling Prod Pract 41:200–213Google Scholar
  24. Kundt A, Warburg E (1875) Poggendorfs. Annu Rev Plant Physiol Plant Mol Biol 155:337–525Google Scholar
  25. Kwon O, Kronenberg AK, Gangi AF, Johnson B, Herbert BE (2004) Permeability of illite-bearing shale: 1. Anisotropy and effects of clay content and loading. J Geophys Res Solid Earth 109:67–85.  https://doi.org/10.1029/2004jb003052 Google Scholar
  26. Levine JR (1996) Model study of the influence of matrix shrinkage on absolute permeability of coal bed reservoirs. Geol Soc Lond Spec Publ 109:197–212.  https://doi.org/10.1144/GSL.SP.1996.109.01.14 CrossRefGoogle Scholar
  27. Li S, Dong M, Li Z (2009) Measurement and revised interpretation of gas flow behavior in tight reservoir cores. J Petrol Sci Eng 65:81–88.  https://doi.org/10.1016/j.petrol.2008.12.017 CrossRefGoogle Scholar
  28. Liu JF, Davy CA, Talandier J, Skoczylas F (2014) Effect of gas pressure on the sealing efficiency of compacted bentonite-sand plugs. J Contam Hydrol 170:10–27.  https://doi.org/10.1016/j.jconhyd.2014.09.006 CrossRefGoogle Scholar
  29. Martin C (1993) Strength of massive Lac du Bonnet granite around underground openings. University of Manitoba, WinnipegGoogle Scholar
  30. Meziani H, Skoczylas F (1999) An experimental study of the mechanical behaviour of a mortar and of its permeability under deviatoric loading. Mater Struct 32:403–409.  https://doi.org/10.1007/Bf02482711 CrossRefGoogle Scholar
  31. Moghadam AA, Chalaturnyk R (2014) Expansion of the Klinkenberg’s slippage equation to low permeability porous media. Int J Coal Geol 123:2–9.  https://doi.org/10.1016/j.coal.2013.10.008 CrossRefGoogle Scholar
  32. Mohiuddin M, Korvin G, Abdulraheem A, Awal M, Khan K, Khan M, Hassan H (2000) Stress-dependent porosity and permeability of a suite of samples from Saudi Arabian sandstone and limestone reservoirs. In: International symposium of the society of core analysts, Abu DhabiGoogle Scholar
  33. Naumann M, Hunsche U, Schulze O (2007) Experimental investigations on anisotropy in dilatancy, failure and creep of Opalinus Clay. Phys Chem Earth 32:889–895.  https://doi.org/10.1016/j.pce.2005.04.006 CrossRefGoogle Scholar
  34. Noman R, Kalam MZ (1990) Transition from laminar to non-darcy flow of gases in porous media. In: Worthington PF (ed) Advances in core evaluation: accuracy and precision in reserves estimation. Routledge, Taylor & Francis Group, New York, pp 447–482Google Scholar
  35. Pettitt W, Young RP, Marsden JR (1998) Investigating the mechanics of microcrack damage induced under true-triaxial unloading. In: SPE/ISRM rock mechanics in petroleum engineering, 1998. Society of Petroleum EngineersGoogle Scholar
  36. Popp T, Kern H, Schulze O (2001) Evolution of dilatancy and permeability in rock salt during hydrostatic compaction and triaxial deformation. J Geophys Res Solid Earth 106:4061–4078.  https://doi.org/10.1029/2000jb900381 CrossRefGoogle Scholar
  37. Renner J, Hettkamp T, Rummel F (2000) Rock mechanical characterization of an argillaceous host rock of a potential radioactive waste repository. Rock Mech Rock Eng 33:153–178.  https://doi.org/10.1007/s006030070005 CrossRefGoogle Scholar
  38. Somerton WH, Söylemezoḡlu IM, Dudley RC (1975) Effect of stress on permeability of coal. Int J Rock Mech Min 12:129–145.  https://doi.org/10.1016/0148-9062(75)91244-9 CrossRefGoogle Scholar
  39. Tang GH, Tao WQ, He YL (2005) Gas slippage effect on microscale porous flow using the lattice Boltzmann method. Phys Rev E Stat Nonlin Soft Matter Phys 72:056301.  https://doi.org/10.1103/PhysRevE.72.056301 CrossRefGoogle Scholar
  40. Tanikawa W, Shimamoto T (2009) Comparison of Klinkenberg-corrected gas permeability and water permeability in sedimentary rocks. Int J Rock Mech Min 46:229–238.  https://doi.org/10.1016/j.ijrmms.2008.03.004 CrossRefGoogle Scholar
  41. Uehara S-I, Shimamoto T (2004) Gas permeability evolution of cataclasite and fault gouge in triaxial compression and implications for changes in fault-zone permeability structure through the earthquake cycle. Tectonophysics 378:183–195.  https://doi.org/10.1016/j.tecto.2003.09.007 CrossRefGoogle Scholar
  42. Vairogs J, Hearn CL, Dareing DW, Rhoades VW (1971) Effect of rock stress on gas production from low-permeability reservoirs. J Petrol Technol 23:1161–1167CrossRefGoogle Scholar
  43. Wang SG, Elsworth D, Liu JS (2013) Permeability evolution during progressive deformation of intact coal and implications for instability in underground coal seams. Int J Rock Mech Min 58:34–45.  https://doi.org/10.1016/j.ijrmms.2012.09.005 Google Scholar
  44. Wang H, Xu W, Shao J, Skoczylas F (2014) The gas permeability properties of low-permeability rock in the process of triaxial compression test. Mater Lett 116:386–388.  https://doi.org/10.1016/j.matlet.2013.11.061 CrossRefGoogle Scholar
  45. Wang HL, Xu WY, Cai M, Zuo J (2016) An experimental study on the slippage effect of gas flow in a compact rock. Transp Porous Media 112:117–137.  https://doi.org/10.1007/s11242-016-0635-9 CrossRefGoogle Scholar
  46. Wu XY, Baud P, Wong TF (2000) Micromechanics of compressive failure and spatial evolution of anisotropic damage in Darley Dale sandstone. Int J Rock Mech Min 37:143–160.  https://doi.org/10.1016/s1365-1609(99)00093-3 CrossRefGoogle Scholar
  47. Yang S-Q, Huang Y-H, Jiao Y-Y, Zeng W, Yu Q-L (2015) An experimental study on seepage behavior of sandstone material with different gas pressures. Acta Mech Sin Prc 31:837–844.  https://doi.org/10.1007/s10409-015-0432-7 CrossRefGoogle Scholar
  48. Zheng J, Zheng L, Liu H-H, Ju Y (2015) Relationships between permeability, porosity and effective stress for low-permeability sedimentary rock. Int J Rock Mech Min 78:304–318.  https://doi.org/10.1016/j.ijrmms.2015.04.025 Google Scholar
  49. Zhu WL, Wong TF (1997) The transition from brittle faulting to cataclastic flow: permeability evolution. J Geophys Res Solid Earth 102:3027–3041.  https://doi.org/10.1029/96jb03282 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Research Institute of Geotechnical EngineeringHohai UniversityNanjingChina
  2. 2.Department of Civil EngineeringUniversity of TorontoTorontoCanada
  3. 3.Key Laboratory of Coastal Disaster and Defense, Ministry of EducationHohai UniversityNanjingChina

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