Acta Geotechnica

, Volume 14, Issue 2, pp 535–545 | Cite as

Influence of pore pressure on plastic deformation and strength of limestone under compressive stress

  • B. Han
  • W. Q. Shen
  • S. Y. Xie
  • J. F. ShaoEmail author
Research Paper


This study is devoted to experimental investigation of effects of pore pressure on plastic deformation and failure of a water-saturated limestone. The experimental study is composed of three different groups of laboratory tests. The basic mechanical behavior of the rock is first characterized by drained triaxial compression tests on water-saturated samples without pore pressure. The results are compared with those obtained in a previous study from triaxial compression tests on saturated samples with a constant pore pressure. In the second group, water injection tests under a confining pressure of 20 MPa and different values of deviatoric stress are realized to study the effect of pore pressure increase. Finally, undrained triaxial compression tests are carried out for investigating the coupling effect of plastic deformation and pore pressure variation. Based on experimental data, the validity of effective stress concept for plastic yielding and failure strength is discussed.


Effective stress Limestone Plastic deformation Poroelasticity Pore pressure Porous rocks 



  1. 1.
    Baud P, Schubnel A, Wong TF (1999) Dilatancy, compaction, and failure mode in Solnhofen limestone. J Geophys Res 105(B8):19289–19303CrossRefGoogle Scholar
  2. 2.
    Biot MA (1941) General theory of three dimensional consolidation. J Appl Phys 12:155–164CrossRefzbMATHGoogle Scholar
  3. 3.
    Biot MA (1973) Non-linear and semi-linear rheology of porous solids. J Geophys Res 78:4924–4937CrossRefGoogle Scholar
  4. 4.
    Boutéca M, Guéguen Y (1999) Mechanical properties of rocks: pore pressure and scale effects. Rev IFP 54(6):703–714Google Scholar
  5. 5.
    Byerlee JD (1968) Brittle–Ductile transition in rocks. J Geophys Res 73(14):4741–4750CrossRefGoogle Scholar
  6. 6.
    Cheng AHD (1997) Material coefficients of anisotropic poroelasticity. Int J Rock Mech Min Sci 34(2):199–205MathSciNetCrossRefGoogle Scholar
  7. 7.
    Collin F, Cui YJ, Schroeder C, Charlier R (2002) Mechanical behaviour of Lixhe chalk partly saturated by oil and water: experimental and modeling. Int J Numer Anal Methods Geomech 26:897–924CrossRefzbMATHGoogle Scholar
  8. 8.
    Coussy O (1995) Mechanics of porous continua. Wiley, ChichesterzbMATHGoogle Scholar
  9. 9.
    Coussy O (2004) Poromechanics. Wiley, HobokenzbMATHGoogle Scholar
  10. 10.
    De Buhan P, Dormieux L (1996) On the validity of the effective stress concept for assessing the strength of saturated porous materials: a homogenization approach. J Mech Phys Solids 44:1649–1667CrossRefGoogle Scholar
  11. 11.
    De Gennaro V, Delage P, Priol G, Collin F, Cui YJ (2004) On the collapse behaviour of oil reservoir chalk. Géotechnique 54:415–420CrossRefGoogle Scholar
  12. 12.
    Dormieux L, Kondo D, Ulm F-J (2006) Microporomechanics. Wiley, HobokenCrossRefzbMATHGoogle Scholar
  13. 13.
    French ME, Boutt DF, Goodwin LB (2012) Sample dilation and fracture in response to high pore fluid pressure and strain rate in quartz-rich sandstone and siltstone. J Geophys Res 117:B03215. CrossRefGoogle Scholar
  14. 14.
    Han B, Xie SY, Shao JF (2016) Experimental investigation on mechanical behavior and permeability evolution of a porous limestone under compression. Rock Mech Rock Eng 49:3425–3435CrossRefGoogle Scholar
  15. 15.
    Hart DJ, Wang HF (2001) A single test method for determination of poroelastic constants and flow parameters in rocks with low hydraulic conductivities. Int J Rock Mech Min Sci 38(4):577–583CrossRefGoogle Scholar
  16. 16.
    Homand S, Shao JF (2000) Mechanical behaviour of a porous chalk and water/chalk interaction, part I. Experimental study. Oil Gas Sci Technol 55(6):591–598CrossRefGoogle Scholar
  17. 17.
    Hu DW, Zhou H, Zhang F, Shao JF (2010) Evolution of poroelastic properties and permeability in damaged sandstone. Int J Rock Mech Min Sci 47(6):962–973CrossRefGoogle Scholar
  18. 18.
    Jeschke AA, Dreybrodt W (2002) Dissolution rates of minerals and their relation to surface morphology. Geochim Cosmochim Acta 66(17):3055–3062CrossRefGoogle Scholar
  19. 19.
    Kerbouche R, Shao JF, Skoczylas F (1995) On the poroplastic behaviour of porous rock. Eur J Mech A Solids 14:577–587zbMATHGoogle Scholar
  20. 20.
    Lion M, Skoczylas F, Ledésert B (2004) Determination of the main hydraulic and poro-elastic properties of a limestone from Bourgogne, France. Int J Rock Mech Min Sci 41:915–925CrossRefGoogle Scholar
  21. 21.
    Lisabeth HP, Zhu W (2015) Effect of temperature and pore fluid on the strength of porous limestone. J Geophys Res Solid Earth 120:6191–6208. CrossRefGoogle Scholar
  22. 22.
    Lockner DA, Stanchits SA (2002) Undrained poroelastic response of sandstones to deviatoric stress change. J Geophys Res 107(B12):2353. CrossRefGoogle Scholar
  23. 23.
    Lydzba D, Shao JF (2000) Study of poroelasticity material coefficients as response of microstructure. Mech Cohesive Frict Mater 5:149–171CrossRefGoogle Scholar
  24. 24.
    Lydzba D, Shao JF (2002) Stress equivalence principle for saturated porous media. C R Mécanique 330:297–303CrossRefzbMATHGoogle Scholar
  25. 25.
    Lydzba D, Pietruszczak S, Shao JF (2007) Intergranular pressure solution in chalk; a multiscale approach. Comput Geotech 34:291–305CrossRefGoogle Scholar
  26. 26.
    Ma X, Zoback MD (2017) Laboratory experiments simulating poroelastic stress changes associated with depletion and injection in low-porosity sedimentary rocks. J Geophys Res Solid Earth 122:2478–2503. CrossRefGoogle Scholar
  27. 27.
    Macdonald RW, North NA (1974) The effect of pressure on the solubility of CaCO3, CaF2, and SrSO4 in water. Can J Chem 52(18):3181–3186CrossRefGoogle Scholar
  28. 28.
    Paterson MS, Wong TF (2005) Experimental rock deformation-the brittle field, 2nd edn. Springer, BerlinGoogle Scholar
  29. 29.
    Pimienta L, Fortin J, Yves Gueguen Y (2017) New method for measuring compressibility and poroelasticity coefficients in porous and permeable rocks. J Geophys Res Solid Earth 122:2670–2689. CrossRefGoogle Scholar
  30. 30.
    Raj R (1982) Creep in polycrystalline aggregates by matter transport through a liquid phase. J Geophys Res 87:4731–4739CrossRefGoogle Scholar
  31. 31.
    Risnes R, Madland MV, Hole M, Kwabiah NK (2005) Water weakening of chalk-mechanical effects of water–glycol mixtures. J Petrol Sci Eng 48:21–36CrossRefGoogle Scholar
  32. 32.
    Shao JF (1997) Poroelastic behaviour of brittle rock materials with anisotropic damage. Mech Mater 30:41–53CrossRefGoogle Scholar
  33. 33.
    Shao JF, Henry JP (1991) Development of an elastoplastic model for porous rock. Int J Plast 7:1–13CrossRefGoogle Scholar
  34. 34.
    Stover SC (2003) A one-dimensional analytically based approach for studying poroplastic and viscous consolidation: application to Woodlark Basin, Papua New Guinea. J Geophys Res 108(B9):2448. CrossRefGoogle Scholar
  35. 35.
    Thompson M, Willis JR (1991) A reformulation of the equations of anisotropic poroelasticity. J Appl Mech ASME 58:612–616CrossRefzbMATHGoogle Scholar
  36. 36.
    Viesca RC, Rice JR (2012) Nucleation of slip-weakening rupture instability in landslides by localized increase of pore pressure. J Geophys Res 117:B03104. CrossRefGoogle Scholar
  37. 37.
    Viesca RC, Templeton EL, Rice JR (2008) Off-fault plasticity and earthquake rupture dynamics: 2. Effects of fluid saturation. J Geophys Res 113:B09307. CrossRefGoogle Scholar
  38. 38.
    Warpinski NR, Teufell LW (1993) Laboratory measurements of the effective-stress law for carbonate rocks under deformation. Int J Rock Mech Min Sci Geomech Abstr 30(7):1169–1172CrossRefGoogle Scholar
  39. 39.
    Wong TF, Szeto H, Zhang J (1992) Effect of loading path and porosity on the failure mode of porous rocks. Appl Mech Rev 45(8):281–293CrossRefGoogle Scholar
  40. 40.
    Wong TF, David C, Zhu W (1997) The transition from brittle faulting to cataclastic flow in porous sandstone: mechanical deformation. J Geophys Res 102:3009–3025CrossRefGoogle Scholar
  41. 41.
    Xie SY, Shao JF (2006) Elastoplastic deformation of a porous rock and water interaction. Int J Plast 22:2195–2225CrossRefzbMATHGoogle Scholar
  42. 42.
    Xie SY, Shao JF (2012) Experimental investigation and poroplastic modelling of saturated porous geomaterials. Int J Plast 39:27–45CrossRefGoogle Scholar
  43. 43.
    Xie SY, Shao JF (2015) An experimental study and constitutive modeling of saturated porous rocks. Rock Mech Rock Eng 48:223–234CrossRefGoogle Scholar
  44. 44.
    Xie SY, Shao JF, Xu WY (2011) Influences of chemical degradation on mechanical behaviour of a limestone. Int J Rock Mech Min Sci 48:741–747CrossRefGoogle Scholar
  45. 45.
    Xie N, Zhu QZ, Shao JF, Xu LH (2012) Micromechanical analysis of damage in saturated quasi brittle materials. Int J Solids Struct 49:919–928CrossRefGoogle Scholar
  46. 46.
    Yamada SE, Schatz JF, Abou Sayed A, Jones AH (1981) Elasto-plastic behavior of porous rock under undrained condition. Int J Rock Mech Min Sci Geomech Abstr 18:177–179CrossRefGoogle Scholar
  47. 47.
    Yarushina VM, Podladchikov YY (2015) (De)compaction of porous viscoelastoplastic media: model formulation. J Geophys Res Solid Earth 120:4146–4170. CrossRefGoogle Scholar
  48. 48.
    Zhang J, Wong T-F, Davis DM (1990) Micromechanics of pressure-induced grain crushing in porous rocks. J Geophys Res 95:341–352CrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.College of Civil Engineering and ArchitectureHubei University of TechnologyWuhanChina
  2. 2.CNRS, LaMcube, FRE 2016University of LilleLilleFrance

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