The tomographic data used in this analysis are obtained from a suite of Fontainebleau sandstone. Fontainebleau sandstone provides the ideal experimental system for this study as a considerable amount of experimental data (Jacquin, 1964; Fredrich et al., 1993) is available. The images were obtained from 4.52−mm−diameter cylindrical core samples extracted from each of four blocks of Fontainebleau sandstone with bulk porosity φ = 7.5%, 13%, 15%, 22%. A 2.91−mm length of each core was imaged (Flannery et al.,1987; Dunsmuir et al., 1991; Spanne et al., 1994). The reconstructed images have a resolution of 5.7 µm resulting in 795 x 795 x 512 imaged sections. Each grey-scale image was thresholded using a kriging-based thresholding method (Oh and Lindquist, 1999) to give a binary pore-solid image (Lindquist et al., 2000). From the original cylindrical plug, we extract a 4803 cubic subset for analysis corresponding to a volume of (2.73 mm)3.