Influence of Stress-Strain Boundary Conditions on the Swelling Behavior of Bentonite

  • Sheng-Jie Li
  • Chao-Sheng Tang
  • Zhi-Guo Chen
  • Dong-Wei Wang
  • Bin Shi
  • Inyang Hilary
Conference paper


The swelling characteristics of bentonite play a very important role in ensuring the long-term stability and isolation of high-level radioactive waste (HLW) repositories. A custom-made test apparatus, capable of providing a range of boundary conditions, was designed to investigate the swelling behavior of bentonite. The imposed boundary conditions include constant mean stress (CMS), constant volume (CV) and an intermediate flexible boundary condition called constant stiffness (CS), which applies stress as a specified function of volume increase. The results show that boundary conditions significantly affect the swelling strain and swelling pressure of the bentonite tested. More specifically, the relationship between the range of boundary conditions provided and the corresponding swelling pressures are: CV > CS > CMS, while the relationship between the range of boundary conditions and the corresponding swelling strain is CMS > CS > CV. Based on these results, several swelling equilibrium limit (SEL) curves are developed to index the effect of boundary conditions on soil swelling potential. The methodology can be used to predict the final stress and volume states of bentonite during fluid infiltration under the range of boundary conditions possible in HLW repositories.


Bentonite Boundary conditions Swelling behavior SEL curve HLW repository 



This work was supported by the National Natural Science Foundation of China (Grant No. 41572246, 41772280), Natural Science Foundation of Jiangsu Province (Grant No. BK20171228, BK20170394), National Science Foundation of China for Excellent Young Scholars (Grant No. 41322019), Key Project of National Natural Science Foundation of China (Grant No. 41230636), and the Fundamental Research Funds for the Central Universities.


  1. 1.
    Liu, Y.M., Wen, Z.J.: An investigation of the physical properties of clayey materials used in nuclear waste disposal at great depth. Miner. Rocks 23, 42–45 (2003)Google Scholar
  2. 2.
    Amadi, A.A.: Swelling characteristics of compacted lateritic soil–bentonite mixtures subjected to municipal waste leachate contamination. Environ. Earth Sci. 70(6), 2437–2442 (2013)CrossRefGoogle Scholar
  3. 3.
    Delage, P., Marcial, D., Cui, Y.J., Ruiz, X.: Ageing effects in a compacted bentonite: a microstructure approach. Géotechnique 56(5), 291–304 (2006)CrossRefGoogle Scholar
  4. 4.
    Tang, A.M., Cui, Y.J., Barnel, N.: Thermo-mechanical behavior of a compacted swelling clay. Géotechnique 58(1), 45–54 (2008)CrossRefGoogle Scholar
  5. 5.
    Villar, M.V., Lloret, A.: Influence of dry density and water content on the swelling of a compacted bentonite. Appl. Clay Sci. 39(1–2), 38–49 (2008)CrossRefGoogle Scholar
  6. 6.
    Ye, W.M., Cui, Y.J., Qian, L.X., Chen, B.: An experimental study of the water transfer through confined compacted GMZ bentonite. Eng. Geol. 108(3–4), 169–176 (2009)CrossRefGoogle Scholar
  7. 7.
    Cui, Y.J., Tang, A.M., Qian, L.X., Ye, W.M., Chen, B.: Thermal-mechanical behavior of compacted GMZ Bentonite. Soils Found. 51(6), 1065–1107 (2011)CrossRefGoogle Scholar
  8. 8.
    Tang, C.S., Tang, A.M., Cui, Y.J., Delage, P., Schroeder, C., Laure, E.D.: investigating the swelling pressure of compacted Crushed-Callovo-Oxfordian Claystone. Phys. Chem. Earth. 36(17-18), 1857–1866 (Parts A/B/C) (2011)CrossRefGoogle Scholar
  9. 9.
    Cui, S.L., Zhang, H.Y., Zhang, M.: Swelling characteristics of compacted GMZ bentonite-sand mixtures as a buffer/backfill material in China. Eng. Geol. 141–142(3), 65–73 (2012)CrossRefGoogle Scholar
  10. 10.
    Komine, H.K., Yasuhara, K.Y., Murakami, S.M.: Swelling characteristics of bentonites in artificial seawater. Can. Geotech. J. 46(46), 177–189 (2015)Google Scholar
  11. 11.
    Siemens, G., Blatz, J.A.: Evaluation of the influence of boundary confinement on the behavior of unsaturated swelling clay soils. Can. Geotech. J. 46(3), 339–356 (2009)CrossRefGoogle Scholar
  12. 12.
    Wen, Z.J.: Physical property of China’s buffer material for high-level radioactive waste repositories. Chin. J. Rock Mechan. Eng. 25(4), 794–800 (2006)Google Scholar
  13. 13.
    Cui, Y.J., Tang, A.M., Loiseau, C., Delage, P.: Determining the unsaturated hydraulic conductivity of a compacted sand–bentonite mixture under constant-volume and free-swell conditions. Phys. Chem. Earth. 33, S462–S471 (Parts A/B/C) (2008)CrossRefGoogle Scholar
  14. 14.
    Wang, Q., Tang, A.M., Cui, Y.J., Delage, P., Gatmiri, B.: Experimental study on the swelling behavior of bentonite/claystone mixture. Eng. Geol. 124(1), 59–66 (2012)CrossRefGoogle Scholar
  15. 15.
    Mollins, L.H., Stewart, D.I., Cousens, T.W.: Predicting the properties of bentonite-sand mixtures. Clay Miner. 31(2), 243–252 (1962)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Sheng-Jie Li
    • 1
  • Chao-Sheng Tang
    • 1
  • Zhi-Guo Chen
    • 1
  • Dong-Wei Wang
    • 1
  • Bin Shi
    • 1
  • Inyang Hilary
    • 2
    • 3
  1. 1.Nanjing UniversityNanjingChina
  2. 2.GEISE In.CharlotteUSA
  3. 3.GEISE In.AbujaNigeria

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