Coupled Chemical and Mechanical Damage Model for Acid-Corroded Sandstone
Publication: International Journal of Geomechanics
Volume 23, Issue 3
Abstract
Taking the sandstone subjected to pH = 1 and 3 HCl solutions as the research object, a dynamic chemical damage model was established based on mineral dissolution theory and chemical kinetics principles. A mechanical damage model of sandstone was also established by continuous damage mechanics theory. Moreover, a coupled chemical and mechanical damage model was deduced through microstress analysis, and a damage constitutive model for acid-corroded sandstone was constructed based on the Weibull distribution and the D–P criterion. The results showed that the acid–rock reaction showed evident time dependence, and the reaction rate decreased with the prolongation of corrosion time. The chemical damage variables of corroded sandstone subjected to pH = 1 and 3 HCl solutions reached 0.34 and 0.12 after 180 days, respectively. The damages caused by chemical and mechanical actions are nonlinear with the generalized damage. The chemical action can slow down the deterioration rate of sandstone under load, which was more obvious as the immersion time extended and the pH values of the solution declined. The stress state could change the deterioration process of sandstone, and the damage rate declined as the confining pressure increased. Finally, the uniaxial and triaxial compression test results verified the theoretical model, and the two agreed well, which verified that the coupled damage model is reasonable and applicable.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank the National Natural Science Foundation of China (41172237) and the Open Fund of State Key Laboratory of Frozen Soil Engineering (SKLFSE202107) for supporting this research project.
References
Bäckström, A., et al. 2008. “Numerical modelling of uniaxial compressive failure of granite with and without saline porewater.” Int. J. Rock Mech. Min. Sci. 45 (7): 1126–1142. https://doi.org/10.1016/j.ijrmms.2007.12.001.
Brotons, V., R. Tomás, S. Ivorra, and J. C. Alarcon. 2013. “Temperature influence on the physical and mechanical properties of a porous rock: San Julian’s calcarenite.” Eng. Geol. 167: 117–127. https://doi.org/10.1016/j.enggeo.2013.10.012.
Cao, W.-G., X. Li, and H. Zhao. 2007. “Damage constitutive model for strain-softening rock based on Normal distribution and its parameter determination.” J. Cent. South Univ. 14 (5): 719–724. https://doi.org/10.1007/s11771-007-0137-6.
Cao, W.-G., H. Zhao, X. Li, and Y.-J. Zhang. 2010. “Statistical damage model with strain softening and hardening for rocks under the influence of voids and volume changes.” Can. Geotech. J. 47 (8): 857–871. https://doi.org/10.1139/T09-148.
Chen, Y., H. Lin, Y. Wang, S. Xie, Y. Zhao, and W. Yong. 2021. “Statistical damage constitutive model based on the Hoek–Brown criterion.” Arch. Civ. Mech. Eng. 21 (3): 1–9. https://doi.org/10.1007/s43452-021-00270-y.
Fairhurst, C. E., and J. A. Hudson. 1999. “Draft ISRM suggested method for the complete stress strain curve for intact rock in uniaxial compression.” Int. J. Rock Mech. Min. 36 (3): 281–289.
Feng, X.-T., S. Chen, and H. Zhou. 2004. “Real-time computerized tomography (CT) experiments on sandstone damage evolution during triaxial compression with chemical corrosion.” Int. J. Rock Mech. Min. Sci. 41 (2): 181–192. https://doi.org/10.1016/S1365-1609(03)00059-5.
Feng, X.-T., W. Ding, and D. Zhang. 2009. “Multi-crack interaction in limestone subject to stress and flow of chemical solutions.” Int. J. Rock Mech. Min. Sci. 46 (1): 159–171. https://doi.org/10.1016/j.ijrmms.2008.08.001.
Han, T., J. Shi, Y. Chen, and X. Cao. 2018. “Quantifying microstructural damage of sandstone after hydrochemical corrosion.” Int. J. Geomech. 18 (10): 04018121. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001237.
Han, T., J. Shi, Y. Chen, and Z. Li. 2016. “Effect of chemical corrosion on the mechanical characteristics of parent rocks for nuclear waste storage.” Sci. Technol. Nucl. 2016: 7853787.
Huang, S., Q. Liu, A. Cheng, and Y. Liu. 2018. “A statistical damage constitutive model under freeze–thaw and loading for rock and its engineering application.” Cold Reg. Sci. Technol. 145: 142–150. https://doi.org/10.1016/j.coldregions.2017.10.015.
Huang, Z., W. Zeng, Y. Wu, S. Li, Q. Gu, and K. Zhao. 2021. “Effects of temperature and acid solution on the physical and tensile mechanical properties of red sandstones.” Environ. Sci. Pollut. Res. 28 (16): 20608–20623. https://doi.org/10.1007/s11356-020-11866-x.
Huo, R., Y. Liang, S. Li, Z. Miao, and T. Qiu. 2022. “The damage mechanism and deterioration characteristics of acid-corroded sandstone: An experimental study.” Arab J. Geosci. 15 (6): 1–18.
Kodama, J., T. Goto, Y. Fujii, and P. Hagan. 2013. “The effects of water content, temperature and loading rate on strength and failure process of frozen rocks.” Int. J. Rock Mech. Min. Sci. 62: 1–13. https://doi.org/10.1016/j.ijrmms.2013.03.006.
Lasaga, A. C. 1984. “Chemical kinetics of water–rock interactions.” J. Geophys. Res.: Solid Earth 89 (B6): 4009–4025. https://doi.org/10.1029/JB089iB06p04009.
Lemaitre, J. 1984. “How to use damage mechanics.” Nucl. Eng. Des. 80 (2): 233–245. https://doi.org/10.1016/0029-5493(84)90169-9.
Li, S., Y. Wu, R. Huo, Z. Song, Y. Fujii, and Y. Shen. 2021. “Mechanical properties of acid-corroded sandstone under uniaxial compression.” Rock Mech. Rock Eng. 54 (1): 289–302. https://doi.org/10.1007/s00603-020-02262-5.
Lin, Y., K. Zhou, J. Li, B. Ke, and R. Gao. 2020. “Weakening laws of mechanical properties of sandstone under the effect of chemical corrosion.” Rock Mech. Rock Eng. 53 (4): 1857–1877. https://doi.org/10.1007/s00603-019-01998-z.
Liu, L., Z. Li, G. Cai, X. Geng, and B. Dai. 2022. “Performance and prediction of long-term settlement in road embankments constructed with recycled construction and demolition waste.” Acta Geotech. 17: 4069–4093. https://doi.org/10.1007/s11440-022-01473-0.
Ma, T., and P. Chen. 2014. “Study of meso-damage characteristics of shale hydration based on CT scanning technology.” Pet. Explor. Dev. 41 (2): 249–256. https://doi.org/10.1016/S1876-3804(14)60029-X.
Ma, T., C. Yang, P. Chen, X. Wang, and Y. Guo. 2016. “On the damage constitutive model for hydrated shale using CT scanning technology.” J. Nat. Gas Sci. Eng. 28: 204–214. https://doi.org/10.1016/j.jngse.2015.11.025.
Mohtarami, E., A. Baghbanan, M. Akbariforouz, H. Hashemolhosseini, and E. Asadollahpour. 2018. “Chemically dependent mechanical properties of natural andesite rock fractures.” Can. Geotech. J. 55 (6): 881–893. https://doi.org/10.1139/cgj-2016-0626.
Mohtarami, E., A. Baghbanan, M. Eftekhari, and H. Hashemolhosseini. 2017. “Investigating of chemical effects on rock fracturing using extended finite element method.” Theor. Appl. Fract. Mech. 89: 110–126. https://doi.org/10.1016/j.tafmec.2017.02.003.
Rutqvist, J. 2015. “Fractured rock stress-permeability relationships from in situ data and effects of temperature and chemical and mechanical couplings.” Geofuids 15 (1–2): 48–66.
Singh, U. K., A. L. Ramanathan, and V. Subramanian. 2018. “Groundwater chemistry and human health risk assessment in the mining region of East Singhbhum, Jharkhand, India.” Chemosphere 204: 501–513. https://doi.org/10.1016/j.chemosphere.2018.04.060.
Tan, K., Z. Zhang, and Z. Wang. 1996. “The mechanism of surface chemical kinetics of dissolution of minerals.” Chin. J. Geochem. 15 (1): 51–60. https://doi.org/10.1007/BF03166796.
Valente, T., and C. Gomes. 2009. “Occurrence, properties and pollution potential of environmental minerals in acid mine drainage.” Sci. Total Environ. 407 (3): 1135–1152. https://doi.org/10.1016/j.scitotenv.2008.09.050.
Wang, Y. L., J. X. Tang, J. Jiang, Z. Y. Dai, and G. J. Shu. 2017. “Mechanical properties and parameter damage effect of malmstone under chemical corrosion of water–rock interaction.” [In Chinese.] J. China Coal Soc. 42 (1): 227–235.
Wang, Z.-l., Y.-c. Li, and J. G. Wang. 2007. “A damage-softening statistical constitutive model considering rock residual strength.” Comput. Geosci. 33 (1): 1–9. https://doi.org/10.1016/j.cageo.2006.02.011.
Wasantha, P. L. P., and P. G. Ranjitha. 2014. “Water-weakening behavior of Hawkesbury sandstone in brittle regime.” Eng. Geol. 178: 91–101. https://doi.org/10.1016/j.enggeo.2014.05.015.
Wen, T., H. M. Tang, Y. R. Liu, Z. X. Zou, K. Wang, and C. Y. Lin. 2016. “Newly modified damage statistical constitutive model of rock based on impact factor.” [In Chinese.] J. China Univ. Min. Technol. 45 (01): 141–149.
Xiao, G. Y., X. J. Chen, C. F. Wei, X. Huang, and L. Chen. 2016. “Mechanism of permeability and control of compaction for red clay under the influence of acid rain.” Chin. J. Rock Mech. Eng. 35 (S1): 3283–3290.
Xu, X., F. Gao, and Z. Zhang. 2018. “Thermo-mechanical coupling damage constitutive model of rock based on the Hoek–Brown strength criterion.” Int. J. Damage Mech. 27: 1213–1230. https://doi.org/10.1177/1056789517726838.
Yao, Q., C. Tang, Z. Xia, Q. Xu, W. Wang, X. Wang, and Z. Chong. 2021. “Experimental study of coal sample damage in acidic water environments.” Mine Water Environ. 40 (4): 1003–1015. https://doi.org/10.1007/s10230-021-00811-0.
Yurkevich, N. V., N. A. Abrosimova, S. B. Bortnikova, Y. G. Karin, and O. P. Saeva. 2017. “Geophysical investigations for evaluation of environmental pollution in a mine tailings area.” Toxicol. Environ. Chem. 99 (9–10): 1328–1345. https://doi.org/10.1080/02772248.2017.1371308.
Zhang, H., X. Meng, and G. Yang. 2020. “A study on mechanical properties and damage model of rock subjected to freeze–thaw cycles and confining pressure.” Cold Reg. Sci. Technol. 174: 103056. https://doi.org/10.1016/j.coldregions.2020.103056.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 23 • Issue 3 • March 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Mar 17, 2022
Accepted: Sep 7, 2022
Published online: Dec 20, 2022
Published in print: Mar 1, 2023
Discussion open until: May 20, 2023
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.