[1] [1] SCRIVENER K L, CRUMBIE A K, LAUGESEN P. The interfacial transition zone (ITZ) between cement paste and aggregate in concrete［J］. Interface Sci, 2004, 12(4): 411-421.

[2] [2] BOURDETTE B, RINGOT E, OLLIVIER J P. Modelling of the transition zone porosity［J］. Cem Concr Res, 1995, 25(4): 741-751.

[5] [5] CWIRZEN A, PENTTALA V. Aggregate-cement paste transition zone properties affecting the salt-frost damage of high-performance concretes［J］. Cem Concr Res, 2005, 35(4): 671-679.

[6] [6] XIONG Q, WANG X, JIVKOV A P. A 3D multi-phase meso-scale model for modelling coupling of damage and transport properties in concrete［J］. Cem Concr Compos, 2020, 109: 103545.

[7] [7] WONG H S, ZOBEL M, BUENFELD N R, et al. Influence of the interfacial transition zone and microcracking on the diffusivity, permeability and sorptivity of cement-based materials after drying［J］. Mag Concr Res, 2009, 61(8): 571-589.

[9] [9] NYAME B. Permeability of normal and lightweight mortars［J］. Mag Concr Res, 1985, 37(130): 44-48.

[10] [10] HALAMICKOVA P, DETWILER R J, BENTZ D P, et al. Water permeability and chloride ion diffusion in portland cement mortars: Relationship to sand content and critical pore diameter［J］. Cem Concr Res, 1995, 25(4): 790-802.

[11] [11] YOUNG J F. Review of the pore structure of cement paste and concrete and its influence on permeability［J］. ACI Sym Publ, 108: 1-18.

[12] [12] LI K, XU L, STROEVEN P, et al. Water permeability of unsaturated cementitious materials: A review［J］. Constr Build Mater, 2021, 302: 124168.

[13] [13] DELAGRAVE A, MARCHAND J, PIGEON M. Influence of microstructure on the tritiated water diffusivity of mortars［J］. Adv Cem Based Mater, 1998, 7(2): 60-65.

[14] [14] GAO Y, DE SCHUTTER G, YE G, et al. Characterization of ITZ in ternary blended cementitious composites: Experiment and simulation［J］. Constr Build Mater, 2013, 41: 742-750.

[15] [15] SUN X, ZHANG B, DAI Q, et al. Investigation of internal curing effects on microstructure and permeability of interface transition zones in cement mortar with SEM imaging, transport simulation and hydration modeling techniques［J］. Constr Build Mater, 2015, 76: 366-379.

[17] [17] LYU K, SHE W, CHANG H, et al. Effect of fine aggregate size on the overlapping of interfacial transition zone (ITZ) in mortars［J］. Constr Build Mater, 2020, 248: 118559.

[18] [18] WONG H S, ZIMMERMAN R W, BUENFELD N R. Estimating the permeability of cement pastes and mortars using image analysis and effective medium theory［J］. Cem Concr Res, 2012, 42(2): 476-483.

[19] [19] ESHGHINEJADFARD A, DARóCZY L, JANIGA G, et al. Calculation of the permeability in porous media using the lattice Boltzmann method［J］. Int J Heat Fluid Fl, 2016, 62: 93-103.

[21] [21] ZHANG M, YE G, VAN BREUGEL K. Microstructure-based modeling of permeability of cementitious materials using multiple-relaxation-time lattice Boltzmann method［J］. Comput Mater Sci, 2013, 68: 142-151.

[22] [22] ZALZALE M, MCDONALD P J, SCRIVENER K L. A 3D lattice Boltzmann effective media study: Understanding the role of C-S-H and water saturation on the permeability of cement paste［J］. Model Simul Mater Sci Eng, 2013, 21(8): 085016.

[26] [26] ZHANG M. Multiscale Lattice Boltzmann-Finite Element Modelling of Transport Properties in Cement-based Materials［M］. Netherlands: Delft University of Technology, 2013: 139-141.

[27] [27] ZHENG J-J, WONG H S, BUENFELD N R. Assessing the influence of ITZ on the steady-state chloride diffusivity of concrete using a numerical model［J］. Cem Concr Res, 2009, 39(9): 805-813.

[28] [28] MALEKI M, RASOOLAN I, KHAJEHDEZFULY A, et al. On the effect of ITZ thickness in meso-scale models of concrete［J］. Constr Build Mater, 2020, 258: 119639.

[29] [29] BAO H, XU G, YU M, et al. Evolution of ITZ and its effect on the carbonation depth of concrete under supercritical CO2 condition［J］. Cem Concr Compos, 2022, 126: 104336.

[30] [30] GAO Y, DE SCHUTTER G, YE G, et al. The ITZ microstructure, thickness and porosity in blended cementitious composite: Effects of curing age, water to binder ratio and aggregate content［J］. Compos B Eng, 2014, 60: 1-13.

[31] [31] WU K, SHI H, XU L, et al. Microstructural characterization of ITZ in blended cement concretes and its relation to transport properties［J］. Cem Concr Res, 2016, 79: 243-256.

[32] [32] SHANE J D, MASON T O, JENNINGS H M, et al. Effect of the interfacial transition zone on the conductivity of portland cement mortars［J］. J Am Ceram Soc, 2000, 83(5): 1137-1144.

[33] [33] JIA Z, HAN Y, ZHANG Y, et al. Quantitative characterization and elastic properties of interfacial transition zone around coarse aggregate in concrete［J］. J Wuhan Univ Technol Mater Sci Ed, 2017, 32(4): 838-844.

[34] [34] LUTZ M P, MONTEIRO P J M, ZIMMERMAN R W. Inhomogeneous interfacial transition zone model for the bulk modulus of mortar［J］. Cem Concr Res, 1997, 27(7): 1113-1122.

[35] [35] GUO Z, ZHENG C, SHI B. Discrete lattice effects on the forcing term in the lattice Boltzmann method［J］. Phys Rev E, 2002, 65(4): 046308.

[36] [36] LALLEMAND P, LUO L-S. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability［J］. Phys Rev E, 2000, 61(6): 6546-6562.

[37] [37] LI R, YANG Y S, PAN J, et al. Lattice Boltzmann modeling of permeability in porous materials with partially percolating voxels［J］. Phys Rev E, 2014, 90(3): 033301.

[38] [38] WALSH S D C, BURWINKLE H, SAAR M O. A new partial-bounceback lattice-Boltzmann method for fluid flow through heterogeneous media［J］. Comput Geo Sci, 2009, 35(6): 1186-1193.

[39] [39] HAMAMI A A, TURCRY P, AT-MOKHTAR A. Influence of mix proportions on microstructure and gas permeability of cement pastes and mortars［J］. Cem Concr Res, 2012, 42(2): 490-498.

[40] [40] WU K, HAN H, LI H, et al. Experimental study on concurrent factors influencing the ITZ effect on mass transport in concrete［J］. Cem Concr Compos, 2021, 123: 104215.

[41] [41] LI X, XU Q, CHEN S. An experimental and numerical study on water permeability of concrete［J］. Constr Build Mater, 2016, 105: 503-510.