Investigation on Effects of Particle Internal Pores on Ionic Diffusivity of Hydrated Tricalcium Silicate Paste using a Hydration-Diffusion Simulation Method
Source abstract
Abstract
Abstract The long-term durability of concrete is essential for sustainable construction and reducing carbon emissions. A key factor affecting durability is the ingress of hazardous substances, making the understanding of ionic diffusion in concrete crucial. While ionic diffusion is significantly affected by the microstructure of cement paste, existing diffusion models often oversimplify this microstructure by neglecting particle internal pores (PIPs). This simplification can lead to inaccuracies in predicting ionic diffusivity and, consequently, the long-term performance of concrete structures. This study addresses this critical gap by developing a hydration-diffusion simulation method to investigate the effects of PIPs on ionic diffusion in hydrated tricalcium silicate (C3S), a primary constituent of cement clinker. Our simulations revealed that: (1) the effects of PIP size distribution and particle porosity (PP) on ionic diffusion depended on the water content, water-to-solid ratio, solid C3S content, and hydration age; (2) at early ages, in hydration systems with a fixed C3S content or water-to-solid ratio, higher PP would result in lower ionic diffusivity in hydrated C3S paste. However, contrasting conclusions emerged under conditions of fixed water content; (3) the effects of PIPs on the ionic diffusion in hydrated C3S also varied with hydration age and water-to-solid ratio.
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Research context
OpenAlex topics: Concrete and Cement Materials Research · Soil and Unsaturated Flow · Recycling and utilization of industrial and municipal waste in materials production
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References (58)
Show source-provided references
1. Andrade, C. (1993). Calculation of chloride diffusion coefficients in concrete from ionic migration measurements. Cement and Concrete Research, 23(3), 724–742. https://doi.org/10.1016/0008-8846(93)90023-310.1016/0008-8846(93)90023-3 ↗
2. ASCE. (2019). Report card for America’s infrastructure; American Society of Civil Engineers, Reston, United States, http://www.infrastructurereportcard.org/. American Society of Civil Engineers.
3. Bakharev, T., Sanjayan, J. G., & Cheng, Y. B. (2002). Sulfate attack on alkali-activated slag concrete. Cement and Concrete Research, 32(2), 211–216. https://doi.org/10.1016/S0008-8846(01)00659-710.1016/S0008-8846(01)00659-7 ↗
4. Barnes, P., & Bensted, J. (2003). Structure and performance of cements. CRC Press.
5. Bejaoui, S., & Bary, B. (2007). Modeling of the link between microstructure and effective diffusivity of cement pastes using a simplified composite model. Cement and Concrete Research, 37(3), 469–480. https://doi.org/10.1016/j.cemconres.2006.06.00410.1016/j.cemconres.2006.06.004 ↗
6. Bellmann, F., Sowoidnich, T., Ludwig, H. M., & Damidot, D. (2012). Analysis of the surface of tricalcium silicate during the induction period by X-ray photoelectron spectroscopy. Cement and Concrete Research, 42(9), 1189–1198. https://doi.org/10.1016/j.cemconres.2012.05.01110.1016/j.cemconres.2012.05.011 ↗
7. Bentz, D. P. (2000). CEMHYD3D: A three-dimensional cement hydration and microstructure development modeling package. Version 2.0 (Report 6485, Issue.10.6028/NIST.IR.6485 ↗
8. Bentz, D. P. (2005). CEMHYD3D: A three-dimensional cement hydration and microstructure development modeling package. Version 3.0 (Report 7232[R], Issue.10.6028/NIST.IR.7232 ↗
9. Bernard, F., & Kamali-Bernard, S. (2010). Performance simulation and quantitative analysis of cement-based materials subjected to leaching. Computational Materials Science, 50(1), 218–226. https://doi.org/10.1016/j.commatsci.2010.08.00210.1016/j.commatsci.2010.08.002 ↗
10. Bernard, F., & Kamali-Bernard, S. (2012). Predicting the evolution of mechanical and diffusivity properties of cement pastes and mortars for various hydration degrees—a numerical simulation investigation. Computational Materials Science, 61, 106–115. https://doi.org/10.1016/j.commatsci.2012.03.02310.1016/j.commatsci.2012.03.023 ↗
11. Biernacki, J. J., & Gottapu, M. (2015). An advanced single-particle model for C3S hydration—validating the statistical independence of model parameters. Computers and Concrete, 15(6), 898–999. https://doi.org/10.1298/cac.2015.15.6.98910.1298/cac.2015.15.6.989 ↗
12. Bullard, J. W. (2008). A determination of hydration mechanisms for tricalcium silicate using a kinetic cellular automaton model. Journal of the American Ceramic Society, 91(7), 2088–2097. https://doi.org/10.1111/j.1551-2916.2008.02419.x10.1111/j.1551-2916.2008.02419.x ↗
13. Carrara, P., De Lorenzis, L., & Bentz, D. P. (2016). Chloride diffusivity in hardened cement paste from microscale analyses and accounting for binding effects. Modelling and Simulation in Materials Science and Engineering, 24(6), 065009. https://doi.org/10.1088/0965-0393/24/6/06500910.1088/0965-0393/24/6/065009 ↗
14. Chen, B., Lin, W., Liu, X., Iacoviello, F., Shearing, P., & Robinson, I. (2019). Pore structure development during hydration of tricalcium silicate by X-ray nano-imaging in three dimensions. Construction and Building Materials, 200, 318–323. https://doi.org/10.1016/j.conbuildmat.2018.12.12010.1016/j.conbuildmat.2018.12.120 ↗
15. Cheng, X. (2022). Research of multi-ion transport mechanism and ionic reaction behavior in the concrete under the electric field. Zhejiang University.
16. Costoya Fernández, M. M. (2008). Effect of particle size on the hydration kinetics and microstructural development of tricalcium silicate. EPFL.
17. Do, H. Q., Bishnoi, S., & Scrivener, K. L. (2015). Microstructural modelling of the elastic properties of tricalcium silicate pastes at early ages. Computers and Concrete, 16(1), 125–140. https://doi.org/10.1298/cac.2015.16.1.12510.1298/cac.2015.16.1.125 ↗
18. Dridi, W. (2013). Analysis of effective diffusivity of cement based materials by multi-scale modelling. Materials and Structures, 46(1), 313–326. https://doi.org/10.1617/s11527-012-9903-510.1617/s11527-012-9903-5 ↗
19. Gospodinov, P., Mironova, M., & Kazandjiev, R. (2007). Mechanisms of sulfate ionic diffusion in porous cement based composites. Computers and Concrete, 4(4), 273–284. https://doi.org/10.1298/cac.2007.4.4.27310.1298/cac.2007.4.4.273 ↗
20. Ismail, I., Bernal, S. A., Provis, J. L., Hamdan, S., & van Deventer, J. S. J. (2013). Microstructural changes in alkali activated fly ash/slag geopolymers with sulfate exposure. Materials and Structures, 46(3), 361–373. https://doi.org/10.1617/s11527-012-9906-210.1617/s11527-012-9906-2 ↗
21. Kurdowski, W. (2014). Cement and concrete chemistry. Springer.10.1007/978-94-007-7945-7 ↗
22. Liu, C., Huang, R., Zhang, Y. S., Liu, Z. Y., & Zhang, M. Z. (2018a). Modelling of irregular-shaped cement particles and microstructural development of Portland cement. Construction and Building Materials, 168, 362–378. https://doi.org/10.1016/j.conbuildmat.2018.02.14210.1016/j.conbuildmat.2018.02.142 ↗
23. Liu, C., Liu, G. J., Liu, Z. Y., Yang, L., Zhang, M. Z., & Zhang, Y. S. (2018b). Numerical simulation of the effect of cement particle shapes on capillary pore structures in hardened cement pastes. Construction and Building Materials, 173, 615–628. https://doi.org/10.1016/j.conbuildmat.2018.04.03910.1016/j.conbuildmat.2018.04.039 ↗
24. Liu, C., Wang, F. Z., & Zhang, M. Z. (2020a). Modelling of 3D microstructure and effective diffusivity of fly ash blended cement paste. Cement and Concrete Composites, 110, 103586. https://doi.org/10.1016/j.conbuildmat.2018.02.14210.1016/j.conbuildmat.2018.02.142 ↗
25. Liu, C., & Zhang, M. Z. (2021). Effect of curing temperature on hydration, microstructure and ionic diffusivity of fly ash blended cement paste: A modelling study. Construction and Building Materials, 297, 123834. https://doi.org/10.1016/j.conbuildmat.2021.12383410.1016/j.conbuildmat.2021.123834 ↗
26. Liu, L., Tao, G., Chen, H., & Zhu, Z. (2020b). Shape effect of cement particles on the ionic diffusivity of hardened cement paste—a three-dimensional numerical investigation. Construction and Building Materials, 250, 118736. https://doi.org/10.1016/j.conbuildmat.2020.11873610.1016/j.conbuildmat.2020.118736 ↗
27. Mehta, P. K., & Monteiro, P. J. M. (2007). Concrete microstructure properties and materials. McGraw-Hill Education.
28. Mien, T. V., Stitmannaithum, B., & Nawa, T. (2011). Prediction of chloride diffusion coefficient of concrete under flexural cyclic load. Computers and Concrete, 8(3), 343–355. https://doi.org/10.1298/cac.2011.8.3.34310.1298/cac.2011.8.3.343 ↗
29. Neville, A. (2004). The confused world of sulfate attack on concrete. Cement and Concrete Research, 34(8), 1275–1296. https://doi.org/10.1016/j.cemconres.2004.04.00410.1016/j.cemconres.2004.04.004 ↗
30. Ngala, V. T., Page, C. L., Parrott, L. J., & Yu, S. W. (1995). Diffusion in cementitious materials: II, further investigations of chloride and oxygen diffusion in well-cured OPC and OPC/30%PFA pastes. Cement and Concrete Research, 25(4), 819–826. https://doi.org/10.1016/0008-8846(95)00072-K10.1016/0008-8846(95)00072-K ↗
31. Oh, B. H., & Jang, S. Y. (2004). Prediction of diffusivity of concrete based on simple analytic equations. Cement and Concrete Research, 34(3), 463–480. https://doi.org/10.1016/j.cemconres.2003.08.02610.1016/j.cemconres.2003.08.026 ↗
32. Patel, R. A., Perko, J., Jacques, D., De Schutter, G., Ye, G., & Van Bruegel, K. (2018). Effective diffusivity of cement pastes from virtual microstructures: Role of gel porosity and capillary pore percolation. Construction and Building Materials, 165, 833–845. https://doi.org/10.1016/j.conbuildmat.2018.01.01010.1016/j.conbuildmat.2018.01.010 ↗
33. Patel, R. A., Phung, Q. T., Seetharam, S. C., Perko, J., Jacques, D., Maes, N., De Schutter, G., Ye, G., & Van Breugel, K. (2016). Diffusivity of saturated ordinary Portland cement-based materials: A critical review of experimental and analytical modelling approaches. Cement and Concrete Research, 90, 52–72. https://doi.org/10.1016/j.cemconres.2016.09.01510.1016/j.cemconres.2016.09.015 ↗
34. Poupard, O., Ait-Mokhtar, A., & Dumargue, P. (2004). Corrosion by chlorides in reinforced concrete: Determination of chloride concentration threshold by impedance spectroscopy. Cement and Concrete Research, 34(6), 991–1000. https://doi.org/10.1016/j.cemconres.2003.11.00910.1016/j.cemconres.2003.11.009 ↗
35. Scrivener, K. L., Juilland, P., & Monteiro, P. J. M. (2015). Advances in understanding hydration of Portland cement. Cement and Concrete Research, 78, 38–56. https://doi.org/10.1016/j.cemconres.2015.05.02510.1016/j.cemconres.2015.05.025 ↗
36. Scrivener, K. L., Ouzia, A., Juilland, P., & Kunhi Mohamed, A. (2019). Advances in understanding cement hydration mechanisms. Cement and Concrete Research, 124, 105823. https://doi.org/10.1016/j.cemconres.2019.10582310.1016/j.cemconres.2019.105823 ↗
37. Shen, D., & Wang, X. (2023). Simulation on hydration of tricalcium silicate in cement clinker. Springer.
38. Shen, D., Wang, X., & Wu, S. (2022). Determining hydration mechanisms for initial fall and main hydration peak in tricalcium silicate hydration using a two-scale hydration simulation model. Cement and Concrete Research, 156, 106763. https://doi.org/10.1016/j.cemconres.2022.10676310.1016/j.cemconres.2022.106763 ↗
39. Shi, X., Xie, N., Fortune, K., & Gong, J. (2012). Durability of steel reinforced concrete in chloride environments: An overview. Construction and Building Materials, 30, 125–138. https://doi.org/10.1016/j.conbuildmat.2011.12.03810.1016/j.conbuildmat.2011.12.038 ↗
40. Tang, L. (1996). Chloride transport in concrete -measurement and prediction. Chalmers University of Technology.
41. Tang, L. (1999a). Concentration dependence of diffusion and migration of chloride ions: Part 1. Theoretical considerations. Cement and Concrete Research, 29(9), 1463–1468. https://doi.org/10.1016/S0008-8846(99)00121-010.1016/S0008-8846(99)00121-0 ↗
42. Tang, L. (1999b). Concentration dependence of diffusion and migration of chloride ions: Part 2. Experimental evaluations. Cement and Concrete Research, 29(9), 1469–1474. https://doi.org/10.1016/S0008-8846(99)00120-910.1016/S0008-8846(99)00120-9 ↗
43. Tao, G. (2020). Multi-scale modeling on the chloride diffusion in cement-based materials[D]. Hohai University.
44. Taylor, H. F. W. (1997). Cement chemistry. Thomas Telford.10.1680/cc.25929 ↗
45. Thepaper. (2022). Technology pathway for low carbonisation of concrete; China Building Materials, Beijing, China. https://m.thepaper.cn/baijiahao_19461963. China Building Materials News.
46. Wang, X. Y., Park, K. B., & Lee, H. S. (2012). Modeling of chloride diffusion in a hydrating concrete incorporating silica fume. Computers and Concrete, 10(5), 523–539. https://doi.org/10.1298/cac.2012.10.5.52310.1298/cac.2012.10.5.523 ↗
47. Wang, X., Shen, D., Tao, S., Liu, R., & Wu, S. (2025). Estimation of chloride diffusivity in hydrated tricalcium silicate using a hydration-diffusion integrated method. Journal of Wuhan University of Technology-Mater Sci Ed, 40(1), 49–64. https://doi.org/10.1007/s11595-025-3040-910.1007/s11595-025-3040-9 ↗
48. Wang, X., Shen, D., & Wu, S. (2021). Influence of particle internal pores on hydration kinetics and microstructure development in tricalcium silicate hydration. Journal of Materials in Civil Engineering, 33(12), 04021335. https://doi.org/10.1061/(ASCE)MT.1943-5533.000396310.1061/(ASCE)MT.1943-5533.0003963 ↗
49. Wilson, W., Georget, F., & Scrivener, K. (2021). Unravelling chloride transport/microstructure relationships for blended-cement pastes with the mini-migration method. Cement and Concrete Research, 140, 106264. https://doi.org/10.1016/j.cemconres.2020.10626410.1016/j.cemconres.2020.106264 ↗
50. Wu, S., Wang, X., Shen, D., Sun, K., & Zhu, J. (2020a). Simulation analysis on hydration kinetics and microstructure development of tricalcium silicate considering dissolution mechanisms. Construction and Building Materials, 249, 118535. https://doi.org/10.1016/j.conbuildmat.2020.11853510.1016/j.conbuildmat.2020.118535 ↗
51. Wu, S., Wang, X., Shen, D., Sun, K., & Zhu, J. (2020b). Simulations of diffusion-controlled and dissolution mechanisms with respect to the deceleration period of tricalcium silicate hydration. Construction and Building Materials, 265, 120458. https://doi.org/10.1016/j.conbuildmat.2020.12045810.1016/j.conbuildmat.2020.120458 ↗
52. Xie, T., & Biernacki, J. J. (2011). The origins and evolution of cement hydration models. Computers and Concrete, 8(6), 647–675. https://doi.org/10.1298/cac.2011.8.6.64710.1298/cac.2011.8.6.647 ↗
53. Yang, F., Liu, X. P., Zhao, Y. J., Zhang, Y. M., Wang, P. M., Robinson, I., & Chen, B. (2018). Investigation of three-dimensional microstructure of tricalcium Silicate (C3S) by electron microscopy. Materials, 11(7), 1110–1119. https://doi.org/10.3390/ma1107111010.3390/ma11071110 ↗
54. Zhang, M. (2013). Multiscale lattice Boltzmann-finite element modelling of transport properties in cement-based materials[D]. Delft University of Technology.
55. Zhang, Y., Liu, C., Liu, Z., Liu, G., & Yang, L. (2017). Modelling of diffusion behavior of ions in low-density and high-density calcium silicate hydrate. Construction and Building Materials, 155, 965–980. https://doi.org/10.1016/j.conbuildmat.2017.08.12810.1016/j.conbuildmat.2017.08.128 ↗
56. Zhang, Y., Luzio, G. D., & Alnaggar, M. (2021). Coupled multi-physics simulation of chloride diffusion in saturated and unsaturated concrete. Construction and Building Materials, 292, 123394. https://doi.org/10.1016/j.conbuildmat.2021.12339410.1016/j.conbuildmat.2021.123394 ↗
57. Zhu, Z., Xu, W., Chen, H., & Tan, Z. (2020). Evolution of microstructures of cement paste via continuous-based hydration model of non-spherical cement particles. Composites Part b: Engineering, 185, 107795. https://doi.org/10.1016/j.compositesb.2020.10779510.1016/j.compositesb.2020.107795 ↗
58. Zhu, Z. G., Xu, W. X., Chen, H. S., Wang, Y., Gou, X. F., Liu, L., & Gu, Y. (2021). Diffusivity of cement paste via a continuum-based microstructure and hydration model: Influence of cement grain shape. Cement and Concrete Composites, 118, 103920. https://doi.org/10.1016/j.cemconcomp.2020.10392010.1016/j.cemconcomp.2020.103920 ↗