Medial axis analysis of void structure in three-dimensional tomographic images of porous media

Journal of Geophysical Research: Solid Earth

Volumn 101, Issue 4, 1996, Pages 8297-8310

  Lindquist, W Brent ^a,e   Lee, Sang Moon ^a,e   Coker, David A ^b   Jones, Keith W ^c   Spanne, Per ^c,d  

^a Stony Brook   (United States)

^b SUNY POLYTECHNIC INSTITUTE   (United States)

^c BROOKHAVEN NATIONAL LABORATORY   (United States)

^d EUROPEAN SYNCHROTRON RADIATION FACILITY   (France)

^e STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MEDIAL AXIS ANALYSIS; POROUS MEDIUM; TOMOGRAPHIC IMAGE; VOID STRUCTURE;

EID: 0029752038     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/95jb03039     Document Type: Article

References (42)

1. Beghdadi, A., and A. L. Negrate, Contrast enhancement technique based on local detection of edges, Comput. Viston Graphics Image Process., 46, 162-174, 1989.
2. Beran, M. J., Statistical Continuum Theories, 424 pp., John Wiley, New York, 1968.
3. Berryman, J. G., and S. Blair, Use of digital image analysis to estimate fluid permeability of porous materials: Application of two-point correlation functions, J. Appl. Phys., 60, 1930-1938, 1986.
4. Bryant, S., and M. Blunt, Prediction of relative permeability in simple porous media, Phys. Rev. A, 46, 2004-2011, 1992.
5. Coker, D. A., and W. B. Lindquist, Edge-based algorithm to filter tomographic data sets, Rep. SUNYIT-MS-1-1994, Dep. of Math, and Sci., State Univ. of N.Y. Inst. of Technol., Utica, 1994.
6. Coker, D. A., and S. Torquato, Extraction of morphological quantities from a digitized medium, J. Appl. Phys., 77, 955-964, 1995.
7. Cormen, T. H., C. E. Leiserson, and R. L. Rivest, Introduction to Algorithms, 1028 pp., MIT Press, Cambridge, Mass., 1990.
8. Doi, M., A new variational approach to the diffusion and flow problem in porous media, J. Phys. Soc. Jpn., 40, 567-572, 1976.
9. Doyen, P. M., Permeability, conductivity, and pore geometry of sandstone, J. Geophys. Res., 93, 7729-7740, 1988.
10. Finney, F., Random packings and the structure of the liquid state, Ph.D. thesis, London Univ., 1968.
11. Flannery, B. P., H. W. Deckman, W. G. Roberge, and K. L. D'Amico, Three dimensional X-ray microtomography, Science, 237, 1439-1444, 1987.
12. Flegler, S. L., Scanning and Transmission Electron Microscopy: An Introduction, 225 pp., W.H. Freeman, New York, 1993.
13. Grunau, D., S. Chen, and K. Eggert, A lattice Boltzmann model for multi-phase fluid flows, Phys. Fluids A, 5, 2557-2562, 1993.
14. Herman, G. T., Image Reconstruction From Projections: The Fundamentals of Computerized Tomography, 316 pp., Academic, San Diego, Calif., 1980.
15. International Mathematics and Statistics Libraries, Inc., IMSL Stat/Library Users Manual, vol. 1, version 1.1, Houston, Tex, Jan. 1989.
16. Ioannidis, M. A., and I. Chatzis, Network modelling of pore structure and transport properties of porous media, Chem. Eng. Sci., 45, 951-972, 1993.
17. Jain, A. K., and M.-P. Dubuisson, Segmentation of X-ray and c-scan images of fiber reinforced composite materials, Pattern Recognition, 25, 257-270, 1992.
18. Jones, K. W., P. Spanne, W. B. Lindquist, W. C. Conner, and M. Ferrero, Determination of polymerization particle morphology using synchrotron computed microtomography, Nucl. Instrum. Methods Phys. Res., Sect. B, 68, 105-110, 1992.
19. Kaufmann, P., M., F. A. L. Dullien, I. F. MacDonald, and C. S. Simpson, Reconstruction, visualization and topological analysis of sandstone pore structure, Acta Stereol. Suppl. I, 2, 145-148, 1983.
20. Kinney, J. H., and M. C. Nichols, X-ray tomographic microscopy (XTM) using synchrotron radiation, Annu. Rev. Mater. Sci., 22, 121-152, 1992.
21. Kwiecien, M. J., I. F. MacDonald, and F. A. L. Dullien, Three-dimensional reconstruction of porous media from serial section data, J. Microsc., 159, 343-359, 1990.
22. Kwok, P. C. K., A thinning algorithm by contour generation, Commun. ACM, 31, 1314-1324, 1988.
23. Leu, J.-G., Image contrast enhancement based on the intensities of edge pixels, CVGIP: Graphical Models Image Process., 54, 497-506, 1992.
24. MacDonald, I. F., P. M. Kaufmann, and F. A. L. Dullien, Quantitative image analysis of finite porous media, I, Development of genus and pore map software, J. Microsc., 144, 277-296, 1986.
25. Milton, G. W., Bounds on the electromagnetic, elastic, and other properties of two-component composites, Phys. Rev. Lett., 46, 542-545, 1981.
26. Prager, S., Viscous flow through porous media, Phys. Fluids, 4, 1477-1482, 1961.
27. Quiblier, J. A., A new three-dimensional technique for studying porous media, J. Colloid Interface Sci., 98, 84-102, 1984.
28. Scheidegger, A. E., The Physics of Flow through Porous Media, 353 pp., Univ. of Toronto, Toronto, Ont., 1974.
29. Sirjani, A., and G. R. Cross, On representation of a shape's skeleton, Pattern Recognition Lett., 12, 149-154, 1991.
30. Spanne, P., and M. L. Rivers, Computerized microtomography using synchrotron radiation from the NSLS, Nucl. Instrum. Methods Phys. Res., Sect. B, 24/25 1063-1067, 1987.
31. Spanne, P., J. F. Thovert, C. J. Jacquin, W. B. Lindquist, K. W. Jones, and P. M. Adler, Synchrotron computed microtomography of porous media: topology and transports, Phys. Rev. Lett., 73, 2001-2004, 1994.
32. Stroscio, J. A., and W. J. Kaiser (Eds.), Scanning Tunneling Microscopy, 459 pp., Academic, San Diego, Calif., 1992.
33. Torquato, S., Random heterogeneous media: Microstructure and improved bounds on effective properties, Appl. Mech. Rev., 44, 37-76, 1991.
34. Torquato, S., and M. Avellaneda, Diffusion and reaction in heterogeneous media: Pore size distribution, relaxation times, and mean survival time, J. Chem. Phys., 95, 6477-6489, 1991.
35. Torquato, S., and G. Stell, Microstructure of two-phase random media, I, The n-point probability functions, J. Chem. Phys., 77, 2071-2077, 1982.
36. Torquato, S., and G. Stell, Microstructure of two-phase random media, II, The Mayer-Montroll and Kirkwood-Salsburg hierarchies, J. Chem. Phys., 78, 3262-3272, 1983a.
37. Torquato, S., and G. Stell, Microstructure of two-phase random media, III, The n-point matrix probability functions for fully penetrable spheres, J. Chem. Phys., 79, 1505-1510, 1983b.
38. Weissberg, H. L., and S. Prager, Viscous flow through porous media, II, Approximate three-point correlation function, Phys. Fluids, 5, 1390-1392, 1962.
39. Weissberg, H. L., and S. Prager, Viscous flow through porous media, III, Upper bounds on the permeability for a simple random geometry, Phys. Fluids, 13, 2958-2965, 1970.
40. Wong, P., J. Howard, and J.-S. Lin, Surface roughening and the fractal nature of rocks, Phys. Rev. Lett., 57, 637-640, 1986.
41. Yanuka, M., F. A. L. Dullien, and D. E. Elrick, Serial sectioning and digitization of porous media for two- and three-dimensional analysis and reconstruction, J. Microsc., 135, 159-168, 1984.
42. Yanuka, M., F. A. L. Dullien, and D. E. Elrick, I. Geometrical and topological model of porous media using a three-dimensional joint pore size distribution, J. Colloid Interface Sci., 112, 24-41, 1986.