Effective saturated hydraulic conductivity of two-dimensional random multifractal fields

Water Resources Research

Volumn 44, Issue 8, 2008, Pages

  Koirala, S R ^a,e   Perfect, E ^b   Gentry, R W ^a,b   Kim, J W ^c,d  

^a University of Tennessee Knoxville   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

^c Gwangju Institute of Science and Technology (GIST)   (South Korea)

^d AGRICULTURAL RESEARCH SERVICE   (United States)

^e URS CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTIC MODULI; FLUID DYNAMICS; FLUID MECHANICS; FORESTRY; GROUNDWATER FLOW; HYDRAULICS; LAWS AND LEGISLATION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; TWO DIMENSIONAL;

DARCY'S LAW; FLOW AND TRANSPORT; FREQUENCY DISTRIBUTIONS; MASS FRACTIONS; MULTI FRACTALS; NUMERICAL SIMULATIONS; P VALUES; PRACTICAL PROBLEMS; SATURATED HYDRAULIC CONDUCTIVITY; SCALE FACTOR; SIERPINSKI CARPETS; SPATIAL VARIATIONS; UP-SCALING;

HYDRAULIC CONDUCTIVITY;

DARCY LAW; FLOW MODELING; HYDRAULIC CONDUCTIVITY; NUMERICAL MODEL; POROUS MEDIUM; POWER LAW; SAMPLING; SLUG TEST; SPATIAL VARIATION; UPSCALING;

EID: 53849083104     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007WR006199     Document Type: Article

References (25)

1. Boufadel, M. C., S. Lu, F. J. Molz, and D. Lavallee (2000), Multifractal scaling of the intrinsic permeability, Water Resour. Res., 36(11), 3211-3222.
2. Bruderer-Weng, C., P. Cowie, Y. Bernabe, and I. Main (2004), Relating flow channeling to tracer dispersion in heterogeneous networks, Adv. Water Resour., 27, 843-855.
3. de Dreuzy, J.-R., P. Davy, J. Erhel, and J. de Brémond d'Ars (2004), Anomalous diffusion exponents in continuous two-dimensional multifractal media, Phys. Rev. E, 70, 016306-1-016306-6.
4. Gimenez, D., W. J. Rawls, and J. G. Lauren (1999), Scaling properties of saturated hydraulic conductivity in soil, Geoderma, 88, 205-220.
5. Harbaugh, A. W., E. R. Banta, M. C. Hill, M. G. McDonald (2000), MODFLOW-2000, the U. S. geological survey modular groundwater model - User guide to modularization concepts and the groundwater flow process, U. S. Geol. Surv. Open-File Rep. 00-92.
6. Hentschel, H. G. E., and I. Procaccia (1983), The infinite number of generalized dimensions of fractals and strange attractors, Physica, 8D, 435-444.
7. Kravchenko, A. N., C. W. Boast, and D. G. Bullock (1999), Multifractal analysis of soil variability, Agron. J., 91, 1033-1041.
8. Loáiciga, H. A., W. W.-G. Yeh, and M. A. Ortega-Guerrero (2006), Probability density functions in the analysis of hydraulic conductivity data, J. Hydrol. Eng., 11(5), 442-450.
9. Lenormand, R., F. Kalaydjian, M.-T. Bieber, and J.-M. Lombard (1990), Use of a multifractal approach for multiphase flow in heterogeneous porous media: Comparison with CT-scanning experiment, SPE Pap. 20475, 121-126.
10. Martinez-Landa, L., and J. Carrera (2005), An analysis of hydraulic conductivity scale effects in granite (Full-scale engineered barrier experiment (FEBEX), Grimsel, Switzerland), Water Resour. Res., 41, W03006, doi:10.1029/2004WR003458.
11. Mesquita, M. G. B., S. O. Moraes, and J. E. Corrente (2002), More adequate probability distributions to represent the saturated soil hydraulic conductivity, Sci. Agricola, 59(4), 789-793.
12. Molz, F. J., H. Rajaram, and S. Lu (2004), Stochastic fractal-based models of heterogeneity in subsurface hydrology: Origins, applications, limitations, and future research questions, Rev. Geophys., 42, RG1002, doi:10.1029/2003RG000126.
13. Nastev, M., M. M. Savard, P. Lapcevic, R. Lefebvre, and R. Martel (2004), Hydraulic properties and scale effects investigation in regional rock aquifers, south-western Quebec, Canada, Hydrogeol. J., 12, 257-269.
14. Neuman, S. P., and V. Di Federico (2003), Multifaceted nature of hydrogeologic scaling and its interpretation, Rev. Geophys., 41(3), 1014, doi:10.1029/2003RG000130.
15. Perfect, E., R. W. Gentry, M. P. Sukop, and J. E. Lawson (2006), Multifractal Sierpinski carpets: Theory and application to upscaling effective saturated hydraulic conductivity, Geoderma, 134, 240-252.
16. Sanchez-Vila, X., J. Carrera, and J. P. Girardi (1996), Scale effects in transmissivity, J. Hydrol., 186, 1-22.
17. Saucier, A. (1992), Scaling of the effective permeability in multifractal porous media, Phys. A, 191, 289-294.
18. Saucier, A. (1996), Scaling properties of disordered multifractals, Phys. A, 226, 34-63.
19. Schulze-Makuch, D., D. A. Carlson, D. S. Cherkauer, and P. Malik (1999), Scale dependency of hydraulic conductivity in heterogeneous media, Ground Water, 37(6), 904-919.
20. Sobieraj, J. A., H. Elsenbeer, and G. Cameron (2004), Scale dependency in spatial patterns of saturated hydraulic conductivity, Catena, 55, 49-77.
21. Tennekoon, L., and M. C. Boufadel (2003), Multifractal anisotropic scaling of the hydraulic conductivity, Water Resour. Eng., 39(7), 1-12.
22. Veneziano, D., and A. K. Essiam (2003), Flow through porous media with multifractal hydraulic conductivity, Water Resour. Res., 39(6), 1166, doi:10.1029/2001WR001018.
23. Winston, R. B., (2000), Graphical user interface for MODFLOW, Version 4, U. S. Geol. Surv. Open-File Rep. 00-315.
24. Zeleke, T. B., and B. C. Si (2005), Scaling relationships between saturated hydraulic conductivity and soil physical properties, Soil Sci. Soc. Am. J., 69(6), 1691-1702.
25. Zeleke, T. B., and B. C. Si (2006), Characterizing scale-dependant spatial relationships between soil properties using multifractal techniques, Geoderma, 134(3-4), 440-452.