Erosion-dilation analysis for experimental and synthetic microstructures of sedimentary rock

Physica A: Statistical Mechanics and its Applications

Volumn 284, Issue 1, 2000, Pages 46-58

  Tscheschel, A ^a,b,c  

^a TU BERGAKADEMIE FREIBERG   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

^c JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EROSION; MATHEMATICAL MORPHOLOGY; MATHEMATICAL TRANSFORMATIONS; MICROSTRUCTURE; POROSITY; PROBABILITY DISTRIBUTIONS; SIMULATED ANNEALING; STATISTICAL METHODS; THREE DIMENSIONAL;

EROSION DILATION ANALYSIS; FONTAINEBLEAU SANDSTONE; SYNTHETIC MICROSTRUCTURES;

SANDSTONE;

EID: 0034272904     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00116-3     Document Type: Article

References (23)

1. B. Biswal, C. Manwart, R. Hilfer, S. Bakke, P.E. Øren, Quantitative analysis of experimental and synthetic microstructures for sedimentary rock, Physica A 273 (1999) 452.
2. R. Hilfer, Transport and relaxation phenomena in porous media, Adv. Chem. Phys. XCII (1996) 299.
3. R. Hilfer, Local porosity theory for flow in porous media, Phys. Rev. B 45 (1992) 7115.
4. R. Hilfer, Local porosity theory and stochastic reconstruction for porous media, in: K. Mecke, D. Stoyan (Eds.), Statistical Physics and Spatial Statistics, Springer Lecture Notes in Physics, Springer, Berlin, in press.
5. P. Delfiner, A generalization of the concept of size, J. Microsc. 95 (1972) 203.
6. D. Stoyan, W.S. Kendall, J. Mecke, Stochastic Geometry and its Applications, Wiley, Chichester, 1995.
7. J. Serra, Image Analysis and Mathematical Morphology, Academic Press, London, 1982.
8. J. Widjajakusuma, B. Biswal, R. Hilfer, Quantitative prediction of effective material properties of heterogeneous media, Commun. Mater. Sci. 16 (1999) 70.
9. P. Soille, Morphological Image Analysis, Springer, Berlin, 1999.
10. K.R. Mecke, Integral geometry and statistical physics, Int. J. Modern Phys. B 12 (1998) 861.
11. K. Sivakumar, J. Goutsias, Discrete morphological size distributions and densities: estimation techniques and applications, J. Electron. Imaging 6 (1995) 31.
12. D. Stauffer, A. Ahorny, Introduction to Percolation Theory, Taylor and Francis, London, 1992.
13. B. Lu, S. Torquato, Lineal-path function for random heterogeneous materials, Phys. Rev. A 45 (1992) 922.
14. C.L.Y. Yeong, S. Torquato, Reconstructing random media. II. Three-dimensional media from two-dimensional cuts, Phys. Rev. E 58 (1998) 224.
15. J. Ohser, F. Mücklich, Statistical Analysis of Microstructures in Materials Science, Wiley, Chichester, 2000.
16. C. Lang, J. Ohser, R. Hilfer, On the analysis of spatial binary images, J. Microsc., in press.
17. J. Ohser, W. Nagel, The estimation of the Euler-Poincaré characteristic from observations on planar sections, J. Microsc. 184 (1996) 117.
18. W. Nagel, J. Ohser, K. Pischang, An integral-geometric approach for the Euler-Poincaré characteristic of spatial images, J. Microsc. 198 (2000) 54.
19. K.R. Mecke, Morphology of spatial patterns - porous media, spinodal decomposition and dissipative structures, Acta. Phys. Pol. B 28 (1997) 1747.
20. M.T. Shehata, in: W. Petrucks (Ed.), Application of image analysis in characterizing despersion of particles, Vol. 16, Mineralogical Association of Canada, Ottawa, Canada, 1989, pp. 119-132 (Chapter 14).
21. T. Mattfeldt, D. Stoyan, Improved estimation of the pair correlation function of random sets, J. Microsc., in press.
22. C.L.Y. Yeong, S. Torquato, Reconstructing random media, Phys. Rev. E 57 (1998) 495.
23. C. Manwart, R. Hilfer, Reconstruction of random media using Monte Carlo methods, Phys. Rev. E 59 (1999) 5596.