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Comparison of Network Generation Techniques for Unconsolidated Porous Media

^a Dep. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70808
^b Dep. of Chemical Engineering, Louisiana State Univ., Baton Rouge, LA 70808

View larger version (24K): [in a new window]   Fig. 1. The medial axis concept in two dimensions; circles represent the solid phase and the dashed lines represent the medial axis.

View larger version (56K): [in a new window]   Fig. 2. Example showing the merging of two inscribed pore bodies that occupy the same void space; if there is any overlap, the largest pore is chosen.

View larger version (29K): [in a new window]   Fig. 3. (a) The inscribed pore radius-finding algorithm where the burn number is local maxima, and (b) the inscribed throat radius where the burn number is a local minima. Shaded circles represent the solid phase, dashed lines represent the medial axis, and the circles represent the inscribed pore body and throats.

View larger version (43K): [in a new window]   Fig. 4. (a) Small random packing of uniform spheres, (b) medial axis generated on this packing, and (c) location of inscribed pore bodies on the medial axis.

View larger version (87K): [in a new window]   Fig. 5. (a) 512–sphere cube packing, (b) location of the inscribed pore bodies in the cubic packing, (c) 512-sphere rhombohedral packing, and (d) locations of the inscribed pore bodies in the rhombohedral packing.

View larger version (52K): [in a new window]   Fig. 6. Schematic of proper pore identification by merging simplical cells of the Delaunay tessellation.

View larger version (28K): [in a new window]   Fig. 7. Schematic of three potential overlap conditions encountered during pore merging.

View larger version (63K): [in a new window]   Fig. 8. Schematic of unrealistically large inscribed radii. This condition can occur when only the simplical-cell spheres are used for the inscribed sphere calculations.

View larger version (71K): [in a new window]   Fig. 9. Schematic of single inscribed sphere in a multi-tetrahedron pore. The single sphere is identified regardless of which triangle is used to seed the local optimization.

View larger version (39K): [in a new window]   Fig. 10. Schematic of network generation algorithm using the modified Delaunay tessellation algorithm.

View larger version (51K): [in a new window]   Fig. 11. Visualization of the cubic packing and sample of a pore and its connectivity as obtained using the modified Delaunay tessellation method.

View larger version (52K): [in a new window]   Fig. 12. Visualization of the rhombohedral packing and sample of the two distinct pores and their connectivity as obtained using the modified Delaunay tessellation method.

View larger version (26K): [in a new window]   Fig. 13. Histogram of distance between centers of matched pores normalized by the sphere diameter. (top) Twenty-five pixel diameter sphere resolution and (bottom) 45-pixel diameter sphere resolution.

View larger version (55K): [in a new window]   Fig. 14. Uniform random packing system with the dark spheres representing the locations of inscribed pore bodies from the medial axis (MA) and modified Delaunay tessellation (MDT) method. Light color represents grains; dark color represents inscribed pore bodies.

View larger version (20K): [in a new window]   Fig. 15. Two examples showing a match between inscribed pore bodies identified from MA (solid line) and MDT (dashed line) methods.

View larger version (79K): [in a new window]   Fig. 16. An example where there is no match between inscribed pore bodies from MA (solid line) and MDT (dashed line) methods.

View larger version (36K): [in a new window]   Fig. 17. Distribution of the distance between the centers of matched inscribed pore bodies from the two methods for random sphere packing.

View larger version (40K): [in a new window]   Fig. 18. Inscribed (top) pore body and (bottom) throat-size distributions (right) MDT and (left) MA for the random sphere packing.