Comparison of Network Generation Techniques for Unconsolidated Porous Media

Soil Science Society of America Journal

Volumn 67, Issue 6, 2003, Pages 1687-1700

  Al Raoush, Riyadh ^a   Thompson, Karsten ^a   Willson, Clinton S ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTINUUM MECHANICS; CRYSTAL LATTICES; IMAGE ANALYSIS; PORE SIZE; STATISTICAL METHODS;

DISORDERED LATTICES;

POROUS MATERIALS;

ALGORITHM; IMAGE CLASSIFICATION; NETWORK ANALYSIS; PIXEL; PORE SPACE; POROUS MEDIUM; RESOLUTION;

EID: 0242424159     PISSN: 03615995     EISSN: None     Source Type: Journal    
DOI: 10.2136/sssaj2003.1687     Document Type: Review

References (52)

1. Bakke, S., and P.E. Oren. 1997. 3-D pore-scale modeling of sandstones and flow simulations in the pore networks. SPEJ 2:136-149.
2. Baldwin, C.A., A.J. Sederman, M.D. Mantle, P. Alexander, and L.F. Gladden. 1996. Determination and characterization of the structure of a pore space from 3D volume images. J Colloid Interface Sci. 181:79-92.
3. Blunt, M., and P. King. 1990. Macroscopic parameters from simulations of pore scale flow. Phys. Rev. A. 42:4780-4787.
4. Bowyer, A. 1981. Computing Dirichlet Tessellations. Comp. J. 24: 162-166.
5. Brandt, J.W. 1992. Describing a solid with three-dimensional skeleton. SPIE. Curves and surfaces in computer vision and graphics III. 1830:258-269.
6. Bryant, S.L., and M. Blunt. 1992. Prediction of relative permeability in simple porous media. Phys. Rev. A. 46:2004-2011.
7. Bryant, S.L., D.W. Mellor, and C.A. Cade. 1993a. Physically representative network models of transport in porous media. AIChE J. 39:387-396.
8. Bryant, S.L., P.R. King, and D.W. Mellor. 1993b. Network model evaluation of permeability and spatial correlation in a real random sphere packing. Transp. Porous Media 11:53-70.
9. Chatzis, I., and F.A.L. Dullien. 1977. Modeling pore structure by 2-D and 3-D networks, with application to sandstones. J. Can. Pet. Techno. 16:97-108.
10. Cousin I., P. Levtiz, and A. Bruand. 1996. Three-dimensional analysis of loamy-clay soil using pore and solid chord distributions. Eur. J. Soil Sci. 47:439-452.
11. Dillard, L.A., and M. Blunt. 2000. Development of a pore network simulation model to study nonaqueous phase liquid dissolution. Water Resour. Res. 36:449-454.
12. Fatt, I. 1956a. The network model of porous media I. Capillary pressure characteristics. Trans Soc. Min. Eng. AIME. 207:144-159.
13. Fatt, I. 1956b. The network model of porous media II. Dynamic properties of a single size tube network. Trans Soc. Min. Eng. AIME. 207:160-163.
14. Fatt, I. 1956c. The network model of porous media III. Dynamic properties of networks with tube radius distribution. Trans Soc. Min. Eng. AIME. 207:164-181.
15. Finney, J.L. 1968. Random packings and the structure of the liquid state. PhD Thesis, University of London.
16. Finney, J.L. 1970. Random packings and the structure of simple liquids I. The geometry of random close packing. Proc. Roy. Soc. Lond. A. 319:479-493.
17. Finney, J.L. 1976. Fine structure in randomly packed, dense clusters of hard spheres. Mater. Sci. Eng. 23:199-205.
18. Fischer, U., and M. Celia. 1999. Prediction of relative and absolute permeabilites for gas and water retention curves using a pore-scale network model. Water Resour. Res. 35:1089-1100.
19. Fredd, C.N., and H.S. Fogler. 1998. Influence of transport and reaction on wormhole formation in porous media. AIChE J. 44:1933-1949.
20. Goldak, J.A., Y.X. Knight, and A. Doug. 1991. Constructing discrete medial axis of 3-D object. Int. J. Comput. Geo. App. 1:327-339.
21. Hilpert, M., and C.T. Miller. 2001. Pore-morphology-based simulation of drainage in totally water wetting porous media. Adv. Water Resour. 24:243-255.
22. Jerauld, G.R., J.C. Hatfield, L.E. Scriven, and H.T. Davis. 1984. Percolation and conduction on voronoi and triangular networks: A case study in topological disorder. J. Phys. C. 17:1519-1529.
23. Jerauld, G.R., J.C. Hatfield, L.E. Scriven, and H.T. Davis. 1984a Percolation and conduction on Voronoi and triangular networks: A case study in topological disorder. J. Phys. C. 17:1519-1529.
24. Jerauld, G.R., L.E. Scriven, and H.T. Davis. 1984b. Percolation and conduction on the 3DVoronoi and regular networks: A second case study in topological disorder. J. Phys. C. 17:3429-3439.
25. Jerauld, G.R., and S.J. Salter. 1990. The effect of pore-structure on hysteresis in relative permeability and capillary pressure: Pore-level modeling. Transp. Porous Media 5:103-151.
26. Kruyer, S. 1958. The penetration of mercury and capillary condensation in packed spheres. Trans. Faraday Soc. 54:1758-1767.
27. Kwok, P.C. 1988. A thinning algorithm by contour generation. Commun. ACM. 31:1314-1324.
28. Kwiecien, M.J., I.F. Macdonald, and F.A.L. Dullien. 1990. Three-dimensional reconstruction of porous media from serial cross section data. J. Microsc. 159:343-359.
29. Larson, R.G., L.E. Scriven, and H.T. Davis. 1981. Percolation theory of two phase flow in porous media. Chem. Eng. Sci. 36:57-73.
30. Lee, T.C., R.L. Kashyap, and C.N. Chu. 1994. Building skeleton models via 3-D medial surface/axis thinning algorithms. CVGIP: Graph. Models Image Process 56:462-478.
31. Liang, Z., M.A. Ioannidis, and I. Chatzis. 2000. Permeability and electrical conductivity of porous media from 3D stochastic replicas of the microstructure. Chem. Eng. Sci 55:5247-5262.
32. Lindquist, W.B., and S. Lee. 1996. Medial axis analysis of void structure in three-dimensional tomographic images of porous media. J. Geophys. Res. 101:8297-8310.
33. Lindquist, W.B., A. Venkatarangan, J. Dunsmuir, and T-F. Wong. 2000. Pore and throat size distributions measured from synchrotron X-ray tomographic images of fontainebleau sandstones. J. Geophys. Res. 105B:21508-21528.
34. Liu, G., and K.E. Thompson. 2000. Influence of computational domain boundaries on internal structure in low-porosity sphere packings. Powder Tech. 113:185-196.
35. Lohman, G. 1998. Volumetric Image Analysis. John Wiley & Sons, New York.
36. Lowry, M.I., and C.T. Miller. 1995. Pore-scale modeling of nonwetting-phase residual in porous media. Water Resour. Res. 31:455-473.
37. Mason, G., and D.W. Mellor. 1995. Simulation of drainage and imbibition in a random packing of equal spheres. J. Coll. Interface Sci. 176:214-225.
38. Mellor, D.W. 1989. Random close packing (RCP) of equal spheres: Structure and implications for use as a model porous medium. Ph.D. Thesis, Open University.
39. Nandakumar, K., Y. Shu, and K.T. Chuang. 1999. Predicting geometrical properties of random packed beds from computer simulation. AIChE J. 45:2286-2297.
40. Nelder, J.A., and R. Mead. 1965. A simplex method for function minimization. Computer J. 7:308-313.
41. Nolan, G.T., and P.E. Kavanagh. 1994. The size distribution of inter-stices in random packings of spheres. Powder Tech. 78:231-238.
42. Okabe, A. 2000. Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. Wiley, New York, NY.
43. Rajaram, H., L.A. Ferrand, and M.A. Celia. 1997. Prediction of relative permeabilities for unconsolidated soils using pore-scale network models. Water Resour. Res. 33:43-52.
44. Reeves, P.C., and M.A. Celia. 1996. A functional relationship between capillary pressure, saturation, and interfacial areas as revealed by a pore-scale network model. Water Resour. Res. 32:2345-2358.
45. Rintoul, M.D., S. Torquato, C. Yeong, D.T. Kaene, S. Erramilli, Y.N. Jun, D.M. Dabbs, and I.A. Aksay. 1996. Structure and transport properties of a porous magnetic gel via X-ray microtomography. Phys. Rev. E. 54:2663-2669.
46. Rossen, W.R., and P.A. Gauglitz. 1990. Percolation theory of creation and mobilization of foams in porous media. AIChE J. 36:1176-1188.
47. Sirjani, A., and G.R. Cross. 1991. On representation of a shape's skeleton. Pattern Recog. Letters 12:149-154.
48. Thompson, K.E. 2002. Fast and robust Delaunay tessellation in periodic domains. Int. J. Numer. Meth. Eng. 55:1345-1366.
49. Thompson, K.E., and H.S. Fogler. 1997. Modeling flow in disordered packed beds from pore-scale fluid mechanics. AIChE J. 43:1377-1389.
50. Vrettos, N.A., H. Imakoma, and M. Okazaki. 1999. Transport properties of porous media from the microgeometry of a three-dimensional Voronai network. Chem. Eng. Process. 26:237-246.
51. Vogel, H.J., and K. Roth. 2001. Quantitative morphology and network representation of soil pore structure. Adv. Water Resour. 24: 233-242.
52. Yanuka, M.F., A.L. Dullien, and D.E. Elrick. 1986. Percolation processes and porous media, I: Geometrical and topological model of porous media using a three-dimensional joint pore size distribution. J. Colloid. Interface Sci. 112:24-41.