Bulletin of Engineering Geology and the Environment

, Volume 78, Issue 8, pp 5991–6002 | Cite as

Damage evolution behavior and constitutive model of sandstone subjected to chemical corrosion

  • Yun Lin
  • Keping ZhouEmail author
  • Feng Gao
  • Jielin Li
Original Paper


Chemical corrosion has significant impact on the properties of rock materials. To investigate the effect of chemical corrosion on the porosity and mechanical properties of sandstones, the nuclear magnetic resonance (NMR) technique was used for the measurement of porosity. Uniaxial compression tests were then conducted for rock specimens treated with chemical corrosions. The test results showed that, compared with the rock specimens in their natural state, after chemical corrosions, the porosity increased, the uniaxial compressive strength and elastic modulus of sandstone both decreased, but the corresponding peak strain increased. A chemical damage variable derived from the change of porosity and the effective bearing area of rock samples was proposed. Based on the chemical damage variable, the corrosion order of different chemical solutions on sandstone was obtained as H2SO4 > NaOH > distilled water. The mechanism of chemical corrosion was also explored based on water-rock reactions. Finally, by introducing the compaction coefficient, an improved statistical damage constitutive model was established to describe the damage evolution of the sandstones treated with different chemical corrosions.


Chemical corrosion Porosity Chemical damage variable Compaction coefficient Damage constitutive model 



The research presented in this paper was jointly supported by the National Natural Science Foundation of China (grant no. 51774323 and no. 41502327), the Fundamental Research Funds Project for the Central South University (grant no.2016zzts095), and the Open-End Fund for the Valuable and Precision Instruments of Central South University (grant no. CSUZC201801). The first author would like to thank the Chinese Scholarship Council for financial support to the joint PhD studies at the University of Adelaide.


  1. Bieniawski Z, Bernede M (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials: part 1. Suggested method for determination of the uniaxial compressive strength of rock materials. Int J Rock Mech Min Geomech Abstr 16(2):138–140CrossRefGoogle Scholar
  2. Chaki S, Takarli M, Agbodjan WP (2008) Influence of thermal damage on physical properties of a granite rock: porosity, permeability and ultrasonic wave evolutions. Constr Bulid Mater 22:1456–1461. CrossRefGoogle Scholar
  3. Chen S, Qiao C, Ye Q, Khan MU (2018) Comparative study on three-dimensional statistical damage constitutive modified model of rock based on power function and Weibull distribution. Environ Earth Sci 77:108. CrossRefGoogle Scholar
  4. Darabi MK, Abu Al-Rub RK, Little DN (2012) A continuum damage mechanics framework for modeling micro-damage healing. Int J Solids Struct 49:492–513. CrossRefGoogle Scholar
  5. Deng J, Gu D (2011) On a statistical damage constitutive model for rock materials. Comput Geosci 37:122–128. CrossRefGoogle Scholar
  6. Fang X, Xu J, Wang P (2018) Compressive failure characteristics of yellow sandstone subjected to the coupling effects of chemical corrosion and repeated freezing and thawing. Eng Geol 233:160–171. CrossRefGoogle Scholar
  7. Feng X, Chen S, Zhou H (2004) Real-time computerized tomography (CT) experiments on sandstone damage evolution during triaxial compression with chemical corrosion. Int. J. Rock Mech. Min. 41:181–192. CrossRefGoogle Scholar
  8. Gao F, Wang Q, Deng H, Zhang J, Tian W, Ke B (2016) Coupled effects of chemical environments and freeze–thaw cycles on damage characteristics of red sandstone. B. Eng. Geol. Environ. 76:1481–1490. CrossRefGoogle Scholar
  9. Han T, Shi J, Cao X (2016) Fracturing and damage to sandstone under coupling effects of chemical corrosion and freeze–thaw cycles. Rock Mech Rock Eng 49:4245–4255. CrossRefGoogle Scholar
  10. Han T, Shi J, Chen Y, Li Z, Li C (2017) Laboratory investigation on the mechanical properties of sandstone immersed in different chemical corrosion under freeze-thaw cycles. Acta Mech. Solida Sin.:503–520Google Scholar
  11. Hu D, Zhou H, Hu Q, Shao J, Feng X, Xiao H (2012) A hydro-mechanical-chemical coupling model for geomaterial with both mechanical and chemical damages considered. Acta Mech Solida Sin 25:361–376. CrossRefGoogle Scholar
  12. Jiang L, Wen Y (2011) Damage constitutive model of sandstone during corrosion by AMD. J Cent South Univ 42:3502–3506 (in Chinese) Google Scholar
  13. Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. J Eng Mater Technol 107:83–89. CrossRefGoogle Scholar
  14. Li G, Tang C-A (2015) A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock. Int. J. Rock Mech. Min. 74:133–150. CrossRefGoogle Scholar
  15. Li H, Xiong G, Zhao G (2016a) An elasto-plastic constitutive model for soft rock considering mobilization of strength. T Nonferr Metal Soc 26:822–834. CrossRefGoogle Scholar
  16. Li H, Yang D, Zhong Z, Sheng Y, Liu X (2018) Experimental investigation on the micro damage evolution of chemical corroded limestone subjected to cyclic loads. Int J Fatigue 113:23–32. CrossRefGoogle Scholar
  17. Li J, Zhou K, Liu W, Deng H (2016b) NMR research on deterioration characteristics of microscopic structure of sandstones in freeze–thaw cycles. T. Nonferr. Metal. Soc. 26:2997–3003. CrossRefGoogle Scholar
  18. Li N, Zhu Y, Su B, S. G (2003) A chemical damage model of sandstone in acid solution. Int J Rock Mech Min 40:243–249. CrossRefGoogle Scholar
  19. Li X, Cao W, Su Y (2012) A statistical damage constitutive model for softening behavior of rocks. Eng Geol 143-144:1–17. CrossRefGoogle Scholar
  20. Liu C, Deng H, Wang Y, Lin Y, Zhao H (2017) Time-varying characteristics of granite microstructures after cyclic dynamic disturbance using nuclear magnetic resonance. Crystals 7:306–317. CrossRefGoogle Scholar
  21. Liu X, Ning J, Tan Y, Gu Q (2016) Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading. Int. J. Rock Mech. Min. 85:27–32. CrossRefGoogle Scholar
  22. Liu X, Tan Y, Ning J, Lu Y, Gu Q (2018) Mechanical properties and damage constitutive model of coal in coal-rock combined body. Int. J. Rock Mech. Min. 110:140–150. CrossRefGoogle Scholar
  23. Lu G, Yan E, Wang X, Xie L, Gao L (2014) Study of impact of fractal dimension of pore distribution on compressive strength of porous material. Rock Soil Mech 35:2261–2269 (in Chinese) Google Scholar
  24. Lu Y, Wang L, Sun X, Wang J (2016) Experimental study of the influence of water and temperature on the mechanical behavior of mudstone and sandstone. B Eng Geol Environ 76:645–660. CrossRefGoogle Scholar
  25. Miao S, Wang H, Cai M, Song Y, Ma J (2018) Damage constitutive model and variables of cracked rock in a hydro-chemical environment. Arab J Geosci 11:1–19. CrossRefGoogle Scholar
  26. Ni J, Chen Y, Wang P, Wang S, Peng B, Azzam R (2016) Effect of chemical erosion and freeze–thaw cycling on the physical and mechanical characteristics of granites. B. Eng. Geol. Environ. 76:169–179. CrossRefGoogle Scholar
  27. Pearce JK, Kirste DM, Dawson GKW, Farquhar SM, Biddle D, Golding SD, Rudolph V (2015) SO2 impurity impacts on experimental and simulated CO2 –water–reservoir rock reactions at carbon storage conditions. Chem Geol 399:65–86. CrossRefGoogle Scholar
  28. Peng R, Yang Y, Ju Y, Mao L, Yang Y (2011) Computation of fractal dimension of rock pores based on gray CT images. Chin Sci Bull 56:3346–3357. CrossRefGoogle Scholar
  29. Pourhosseini O, Shabanimashcool M (2014) Development of an elasto-plastic constitutive model for intact rocks. Int. J. Rock Mech. Min. 66:1–12. CrossRefGoogle Scholar
  30. Qiao L, Wang Z, Huang A (2016) Alteration of mesoscopic properties and mechanical behavior of sandstone due to hydro-physical and hydro-chemical effects. Rock Mech Rock Eng 50:255–267. CrossRefGoogle Scholar
  31. Qu D, Li D, Li X, Luo Y, Xu K (2018) Damage evolution mechanism and constitutive model of freeze- thaw yellow sandstone in acidic environment. Cold Reg Sci Technol 155:174–183. CrossRefGoogle Scholar
  32. Tang L, Zhang P, Wang S (2002) Testing study on macroscopic mechanics effect of chemical action of water on rocks. Chinese J Rock Mech Eng 21:526–531Google Scholar
  33. Teng J, Tang J, Zhang Y, Li X (2018) CT experimental study on the damage characteristics of anchored layered rocks. KSCE J Civ Eng:1–10. CrossRefGoogle Scholar
  34. Wang Y, Li X, Zhang B, Wu Y (2014) Meso-damage cracking characteristics analysis for rock and soil aggregate with CT test. Sci China Technol Sc 57:1361–1371. CrossRefGoogle Scholar
  35. Wang Z, Li Y, Wang JG (2007) A damage-softening statistical constitutive model considering rock residual strength. Comput Geosci 33:1–9. CrossRefGoogle Scholar
  36. Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18:293–297Google Scholar
  37. Xiao J, Ding D, Jiang F, Xu G (2010) Fatigue damage variable and evolution of rock subjected to cyclic loading. Int J Rock Mech Min 47:461–468. CrossRefGoogle Scholar
  38. Xu X, Gao F, Zhang Z (2017) Thermo-mechanical coupling damage constitutive model of rock based on the Hoek–Brown strength criterion. Int J Damage Mech:105678951772683. CrossRefGoogle Scholar
  39. Xu XL, Karakus M (2018) A coupled thermo-mechanical damage model for granite. Int. J. Rock Mech. Min. 103:195–204. CrossRefGoogle Scholar
  40. Yang X, Weng L, Hu Z (2017) Damage evolution of rocks under triaxial compressions: an NMR investigation. KSCE J Civ Eng 22(8):2856–2863. CrossRefGoogle Scholar
  41. Yuan W, Liu X, Fu Y (2017) Chemical thermodynamics and chemical kinetics analysis of sandstone dissolution under the action of dry–wet cycles in acid and alkaline environments. B. Eng. Geol. Environ. CrossRefGoogle Scholar
  42. Zhao H, Zhang C, Cao W, Zhao M (2016) Statistical meso-damage model for quasi-brittle rocks to account for damage tolerance principle. Environ Earth Sci 75.
  43. Zhou K, Li B, Li J, Deng H, Bin F (2015) Microscopic damage and dynamic mechanical properties of rock under freeze–thaw environment. T. Nonferr. Metal. Soc. 25:1254–1261. CrossRefGoogle Scholar
  44. Zhou K, Liu T, Hu Z (2018) Exploration of damage evolution in marble due to lateral unloading using nuclear magnetic resonance. Eng Geol 244:75–85CrossRefGoogle Scholar
  45. Zhou Z, Cai X, Cao W, Li X, Xiong C (2016) Influence of water content on mechanical properties of rock in both saturation and drying processes. Rock Mech Rock Eng 49:3009–3025. CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Resource and Safety EngineeringCentral South UniversityChangshaChina
  2. 2.School of Civil, Environmental and Mining EngineeringUniversity of AdelaideAdelaideAustralia

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