Fontainebleau sandstone is an ideal
experimental system for this study. First, experimental data is available for
the elastic properties of Fontainebleau sandstone over a range of porosity
[Han 1986]. Second, Fontainebleau is homogeneous, made up of a single
mineral, quartz, does not contain clay, and the structure of the sandstone is
quite simple as it only displays intergranular porosity. Modeling the system
as a simple two-phase material may be expected to provide a good
match to experimental data. The images were obtained from 4.52-mm diameter
cylindrical core samples extracted from each of 4 blocks of Fontainebleau
sandstone with bulk porosities = 7.5%, 13%, 15%, and 22%.
A 2.91-mm length section of each core was imaged [Flannery 1987, Dunsmuir 1991, Spanne 1994].
The reconstructed images have a resolution of
5.7 µm resulting in
795 x 795 x 512 imaged sections. X-ray computed tomographic images
of porous media are grey scale images, usually with a bimodal population
apparent, one mode corresponding to the signal from the void space, the second
to the signal from the grain space. Each grey scale image was thresholded
using a kriging-based thresholding method [Oh and Lindquist 1999] to give a binary
pore-solid image [Lindquist and
Venkatarangan1999, Lindquist 2000]. From the original cylindrical
plug, we extracted the central 4803 cubic subset for analysis, corresponding
to a volume of 20.5 mm3.