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Table 4 Summary of diagonal elements of the effective permeability tensor βii, all expressed in [μm2], and scaled diagonal elements of the effective diffusivity tensor in the Knudsen region κii given by Eq. (5) (see Additional file 1 SI), all expressed in [nm]

From: Bohemian sandstone for restoration of cultural heritage sites: 3D microstructure and mass transport properties

β11

β22

β33

\(\overline{\beta }\)

κ11

κ22

κ33

\(\overline{\kappa }\)

3.49

3.57

3.10

3.39

873

903

787

854

  1. \(\overline{\beta }=({\beta }_{11}+{\beta }_{22}+{\beta }_{33})/3\) and \(\overline{\kappa }=({\kappa }_{11}+{\kappa }_{22}+{\kappa }_{33})/3\)