- Author
-
Bentz, D. P.
|
Martys, N. S.
- Title
- Hydraulic Radius and Transport in Reconstructed Model Three-Dimensional Porous Media.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Journal
-
Transport in Porous Media,
Vol. 17,
221-238,
1994
- Keywords
-
building technology
|
conductivity
|
critical diameter
|
hydraulic radius
|
permeability
|
porous media
|
reconstruction
|
transport properties
- Identifiers
- original microstructure generation; tow-dimensional slice selection and three-dimensional reconstruction; hydraulic radius matching via surface curvature modification; critical diameter computation; images and autocorrelation functions; characteristic length scales
- Abstract
- Methods for reconstructing three-dimensional porous media from two-dimensional cross sections are evaluated in terms of the transport properties of the reconstructed systems. Two-dimensional slices are selected at random from model three-dimensional microstructures, based on penetrable spheres, and processed to create a reconstructed representation of the original system. Permeability, conductivity, and a critical pore diameter are computed for the original and reconstructed microstructures to assess the validity of the reconstruction technique. A surface curvature algorithm is utilized to further modify the reconstructed systems by matching the hydraulic radius of the reconstructed three-dimensional system to that of the two-dimensional slice. While having only minor effects on conductivity, this modification significantly improves the agreement between permeabilities and critical diameters of the original and reconstructed systems for porosities in the range of 25-40%. For lower porosities, critical pore diameter is unaffected by the curvature modification so that little improvement between original and reconstructed permeabilities is obtained by matching hydraulic radii.