Relationship between juxtaposed, overlapping, and fractal representations of multimodal spatial variability

Water Resources Research

Volumn 39, Issue 8, 2003, Pages

  Neuman, Shlomo P ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

Fractal; Heterogeneity; Multimodal; Multiscale; Random fields; Spatial variability

Indexed keywords

ANISOTROPY; BROWNIAN MOVEMENT; CORRELATION METHODS; DATA REDUCTION; FRACTALS; SAMPLING;

GAUSSIAN VARIOGRAMS; HURST COEFFICIENTS;

WATER RESOURCES;

FRACTAL ANALYSIS; POROUS MEDIUM; PROBABILITY DENSITY FUNCTION; SPATIAL VARIATION;

HIATUS;

EID: 0346590021     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2002WR001755     Document Type: Article

References (23)

1. Barrash, W., and T. Clemo, Hierarchical geostatistics and multifacies systems: Boise Hydrogeophysical Research Site, Boise, Idaho, Water Resour. Res., 38(10), 1196, doi:10.1029/2002WR001436, 2002.
2. Carle, S. F., and G. E. Fogg, Transition probability-based indicator geostatistics, Math. Geol., 28(4), 453-476, 1996.
3. Dagan, G., Flow and Transport in Porous Formations, 465 pp., Springer-Verlag, New York, 1989.
4. Desbarats, A. J., Macrodispersion in sand-shale sequences, Water Resour. Res., 26(1), 153-163, 1990.
5. Di Federico, V., and S. P. Neuman, Scaling of random fields by means of truncated power variograms and associated spectra, Water Resour. Res., 33(5); 1075-1085, 1997.
6. Di Federico, V., and S. P. Neuman, Flow in multiscale log conductivity fields with truncated power variograms, Water Resour. Res., 34(5), 975-987, 1998a.
7. Di Federico, V., and S. P. Neuman, Transport in multiscale log conductivity fields with truncated power variograms, Water Resour. Res., 34(5), 963-973, 1998b.
8. Di Federico, V., S. P. Neuman, and D. M. Tartakovsky, Anisotropy, lacunarity, upscaled conductivity and its covariance in multiscale fields with truncated power variograms, Water Resour. Res., 35(10), 2891-2908, 1999.
9. Hyun, Y., S. P. Neuman, V. V. Vesselinov, D. M. Tartakovsky, W. A. Illman, and V. Di Federico, Theoretical interpretation of a pronounced permeability scale effect in unsaturated fractured tuff, Water Resour. Res., 38(6), 1092, doi:10.1029/2001WR000658, 2002.
10. Lu, Z., and D. Zhang, On stochastic modeling of flow in multimodal heterogeneous formations, Water Resour. Res., 35(10), 1190, doi:10.1029/ 2001WR001026, 2002.
11. Mandelbrot, B. B., and J. W. Van Ness, Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10, 422-437, 1968.
12. Neuman, S. P., Universal scaling of hydraulic conductivities and dispersivities in geologic media, Water Resour. Res., 26(8), 1749-1758, 1990.
13. Neuman, S. P., Generalized scaling of permeabilities: Validation and effect of support scale, Geophys. Res. Let., 21(5), 349-352, 1994.
14. Neuman, S. P., On advective dispersion in fractal velocity and permeability fields, Water Resour. Res., 31(6), 1455-1460, 1995.
15. Neuman, S. P., and V. Di Federico, The multifaceted nature of hydrogeologic scaling and its interpretation, Rev. Geophys., doi:10.1029/ 2003RG000130, in press, 2003.
16. Purvance, D. T., Travel times of nonlocal dispersion and their geoelectric approximation in Nevada's fractured welded tuffs, Water Resour. Res., 37(12), 2915-2918, 2001.
17. Rubin, Y., Flow and transport in bimodal heterogeneous formations, Water Resour. Res., 31(10), 2461-2468, 1995.
18. Rubin, Y., and A. G. Journel, Simulation of non-Gaussian space random functions for modeling transport in groundwater, Water Resour. Res., 27(7), 1711-1721, 1991.
19. Shvidler, M., and K. Karasaki, Multicontinuum description of flow in composite heterogeneous media, Water Resour. Res., 36(12), 3615-3629, 2000.
20. Voss, R. F., Random fractals: Characterization and measurement, in Scaling Phenomena in Disordered Systems, edited by R. Pynn and A. Skjeltorp, NATO ASI Ser., 133, 1-11, 1985.
21. Winter, C. L., and D. M. Tartakovsky, Mean flow in composite porous media, Geophys. Res. Lett., 27(12), 1759-1762, 2000.
22. Winter, C. L., and D. M. Tartakovsky, Groundwater flow in heterogeneous composite aquifers, Water Resour. Res., 38(8), 1148, doi:10.1029/ 2001WR000450, 2002.
23. Winter, C. L., D. M. Tartakovsky, and A. Guadagnini, Numerical solution of moment equations for flow in heterogeneous composite aquifers, Water Resour. Res., 38(5), 1055, doi:10.1029/2001WR000222, 2002.