Generation of aquifer heterogeneity maps using two-dimensional spectral texture segmentation techniques

Mathematical Geology

Volumn 31, Issue 3, 1999, Pages 327-348

  Eramian, M G ^a   Schincariol, R A ^a   Mansinha, L ^a   Stockwell, R G ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Aquifer heterogeneity; Image processing; S Transform; Sediment texture; Solute transport

Indexed keywords

AQUIFER CHARACTERIZATION; HETEROGENEITY; IMAGE PROCESSING; SOLUTE TRANSPORT; TEXTURE;

EID: 0032982984     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007578305616     Document Type: Article

References (40)

1. Cohen, F. S., and Cooper, D. B. 1984, Real time textured image segmentation based on noncausal markovian random field models: Proc. SPIE, v. 449, p. 17-28.
2. Connors, R. W., Trivedi, M. M., and Harlow, C. A., 1984, Segmentation of a high-resolution urban scene using texture operators: Comput. Vision Graphics Image Proc., v. 25, no. 3, p. 273-310.
3. Crick, F. H. C., Marr, D. C., and Poggio, T., 1980, An information processing approach to understanding the visual cortex: Technical Report A. I. Memo 557, MIT, 38 p.
4. Dagan, G., 1986, Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale: Water Resources Res., v. 22, no. 9, p. 120S-134S.
5. Daugman, J. G., 1985, Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters: Jour. Opt. Soc. Am., v. 2, no. 7, p. 1160-1169.
6. Davis, J. M., Lohmann, R. C., Phillips, F. M., Wilson, J. L., and Love, D. W., 1993, Architecture of the Sierra Ladrones formation, central New Mexico: Depositional controls on the permeability correlation structure: Geol. Soc. Am. Bull., v. 105, no. 8, p. 998-1007.
7. Davis, L. S., and Mitiche, A., 1982, A model driven iterative texture segmentation algorithm: Comput. Graphics Image Proc., v. 19, no. 2, p. 95-110.
8. Derin, H., Elliot, H., Cristi, R., and Geman, D., 1984, Bayes smoothing algorithms for segmentation of binary images modeled by Markov random fields: IEEE Trans. Pattern Anal. Machine Intell., v. 6, no. 11, p. 707-720.
9. Dreimanis, A., 1964, Pleistocene Geology of the St. Thomas Area (West Half): Ontario Department of Mines Preliminary Geological Map No. 238.
10. Dreimanis, A., and Karrow, P. F., 1972, Glacial history of the Great Lakes-St. Lawrence Region, the classification of the Wisconsinan stage, and its correlations: 24th International Geological Congress, Montreal, Section 2, p. 5-15.
11. Galloway, M. M., 1975, Texture analysis using gray level run lengths: Comput. Graphics Image Proc., v. 4, p. 172-179.
12. Garabedian, S. P., LeBlanc, D. R., Gelhar, L. W., and Celia, M. A., 1991, Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2, Analysis of spatial moments for a nonreactive tracer: Water Resources Res., v. 27, no. 5, p. 911-924.
13. Gelhar, L. W., 1986, Stochastic subsurface hydrology from theory to applications: Water Resources Res., v. 22, no. 9, p. 135S-145S.
14. Gelhar, L. W., Welty, C., and Rehfeldt, K. R., 1992, A critical review of data on field-scale dispersion in aquifers: Water Resources Res., v. 28, no. 7, p. 1955-1974.
15. van Gool, L., Dewaele, P., and Oosterlinck, A., 1985, Texture analysis anno 1983: Comput. Vision Graphics Image Proc., v. 29, no. 3, pp. 336-357.
16. Grinaker, S., 1980, Edge based segmentation and texture separation: IEEE Proc. 5th Int. Conf. on Pattern Recognition, Miami Beach, Florida, Dec. 1-4, p. 554-557.
17. Haralick, R. M., and Shapiro, L. G., 1985, Image segmentation techniques: Comput. Vision Graphics Image Proc., v. 29, no. 1, p. 100-132.
18. Haralick, R. M., Shanmugam, K., and Dinstein, I., 1973, Textural features for image classification: IEEE Trans. Syst., Man Cybernet., v. 6, no. 11, p. 610-621.
19. Hess, K. M., Wolf, S. H., and Celia, M. A., 1992, Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts 3, Hydraulic conductivity variability and calculated macrodispersivities: Water Resources Res., v. 28, no. 8, p. 2011-2027.
20. Jussel, P., Stauffer, F., and Dracos, T, 1994, Transport modeling in heterogeneous aquifers, 1, Statistical distribution and numerical generation of gravel deposits: Water Resources Res., v. 30, no. 6, p. 1803-1817.
21. Kaizer, H., A Quantification of Textures on Aerial Photographs, 1955: Technical Report, Tech. Note No. 121, A. 69484, Boston Univ. Research Laboratories, Boston University.
22. Khotanzad, A., and Chen, J., 1989, Unsupervised segmentation of textured images by edge detection in multidimensional features: IEEE Trans. Pattern Anal. Mach. Intell., v. 11, no. 4, p. 414-421.
23. Kolterman, C. E., and Gorelick, S. M., 1996, Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches: Water Resources Res., v. 32, no. 9, p. 2617-2658.
24. Laws, K. I., 1980, Textured image segmentation: Technical Report, USCIPI Report 940, Dept. of Elect. Eng., Image Processing Institute, Univ. of Southern California, Los Angeles, CA, 178 p.
25. Mansinha, L., Stockwell, R. G., Lowe, R. P., 1997, Pattern analysis with two dimensional spectra localisation: Applications of the two dimensional S transform: Physica A, v. 239, p. 286-295.
26. Mansinha, L., Stockwell, R. G., Lowe, R. P., Eramian, M., and Schincariol, R. A., 1997, Local s-spectrum analysis of 1-D and 2-D data: Phys. Earth Planetary Interiors, v. 103, no. 3-4, p. 329-336.
27. Neuman, S. P., Winter, C. L., and Newman, C. M., 1987, Stochastic theory of field-scale fickian dispersion in anisotropic porous media: Water Resources Res., v. 23, no. 3, p. 453-466.
28. Pal, N. R., and Pal, S. K., 1993, A review on image segmentation techniques: Pattern Recognition: v. 26, no. 9, p. 1277-1294.
29. Ravichandran, G., and Trivedi, M. M., 1995, Circular-mellin features for texture segmentation: IEEE Trans. Image Proc., v. 4, no. 12, p. 1629-1640.
30. Reed, T. R., and Du Buf, J. M. H., 1993, A review of recent texture segmentation and feature extraction techniques: CVGIP: Image Understanding, v. 57, no. 3, p. 359-372.
31. Reed, T. R., Wechsler, H., and Werman, M., 1990, Texture segmentation using a diffusion region growing technique: Pattern Recognition, v. 23, no. 9, p. 953-960.
32. Rehfeldt, K. R., Boggs, J. M., and Gelhar, L. W., 1992, Field study of dispersion in a heterogeneous aquifer, 3, Geostatistical analysis of hydraulic conductivity: Water Resources Res., v. 28, no. 12, p. 3309-3324.
33. Schincariol, R. A., 1998, Dispersive mixing dynamics of dense miscible plumes: Natural perturbation initiation by local scale heterogeneities: Jour. Contaminant Hydrol., v. 34, no. 3, p. 247-271.
34. Schincariol, R. A., Schwartz, F. W., and Mendoza, C. A., 1997, Instabilities in variable density flows: Stability and sensitivity analyses for homogeneous and heterogeneous media: Water Resources Rev., v. 33, no. 1, p. 31-41.
35. Smith, L., 1981, Spatial variability of flow parameters in a stratified sand: Math. Geology, v. 13, no. 1, p. 1-21.
36. Stockwell, R. G., Lowe, R. P., and Mansinha, L., 1996, Localized cross spectral analysis with phase corrected wavelets: Wavelet Applications III, SPIE Proc., v. 2762, p. 557-564.
37. Stockwell, R. G., Mansinha, L., and Lowe, R. P., 1996, Localization of the complex spectrum: The S transform: IEEE Trans. Signal Proc., v. 44, no. 4, pp. 998-1001.
38. Sudicky, E. A., 1986, A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process: Water Resources Res., v. 22, no. 13, p. 2069-2082.
39. Unser, M., 1986, Local linear transforms for texture measurements: Signal Proc., v. 11.
40. Watson, A. B., 1987, The cortex transform: Rapid computation of simulated neural images: Comput. Vision Graphics Image Proc., v. 39, no. 3, p. 311-327.