Estimating spatially variable representative elementary scales in fractured architecture using hydraulic head observations

Water Resources Research

Volumn 41, Issue 3, 2005, Pages 1-13

  Wellman, Tristan P ^a   Poeter, Eileen P ^a  

^a Department of Geology and Geological Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; CHARACTERIZATION; ERROR ANALYSIS; FLUID DYNAMICS; FRACTURE; MATHEMATICAL MODELS; POROSITY;

FLUID-BASED METHODOLOGY; FRACTURE ARCHITECTURE; HYDRAULIC CONNECTIVITY; REPRESENTATIVE ELEMENTARY SCALES (RES);

WATER RESOURCES;

AQUIFER; FRACTURED MEDIUM; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; HYDRAULIC HEAD; SPATIAL VARIATION;

EID: 17844374665     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004WR003287     Document Type: Article

References (46)

1. Ando, K., A. Kostner, and S. P. Neuman (2003), Stochastic continuum modeling of flow and transport in a crystalline rock mass: Fanay-Augères, France, revisited, Hydrogeol. J., 11(5), 521-535.
2. Barla, G., M. Cravero, and C. Fidelibus (2000), Comparing methods for the determination of the hydrological parameters of a 2D equivalent porous medium, Int. J. Rock Mech. Min. Sci., 37, 1133-1141.
3. Baveye, P., and G. Sposito (1984), The operational significance of the continuum hypothesis in the theory of water movement through soils and aquifers, Water Resour. Res., 20, 521-530.
4. Bear, J. (1972), Dynamics of Fluids in Porous Media, Elsevier, New York.
5. Bear, J., and Y. Bachmat (1990), Introduction to Modeling of Transport Phenomena in Porous Media, Springer, New York.
6. Bear, J., C. Tsang, and G. de Marsily (1993), Flow and Contaminant Transport in Fractured Rock, 560 pp., Elsevier, New York.
7. Cacas, M. C., E. Ledoux, G. de Marsily, B. Tillie, B. Barbreau, E. Durand, B. Fuega, and P. Peaudecerf (1990), Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation: 1. The flow model, Water Resour. Res., 26(3), 479-489.
8. Dershowitz, W., and H. H. Einstein (1988), Characterizing rock joint geometry with joint system models, Rock Mech. Rock Eng., 21, 21-51.
9. Dershowitz, W., P. Wallmann, and S. Kindred (1991), Discrete fracture modeling for the Stripa site characterization and validation drift inflow predictions, Stripa Proj. Tech. Rep. 91-16, Swed. Nucl. Power and Waste Manage. Co., Stockholm.
10. Dershowitz, W., G. Lee, J. Geier, T. Foxford, P. La Pointe, and A. Thomas (1998), FracMan - Interactive Discrete Feature Data Analysis, Geometric Modeling, and Exploration Simulation, Version 2.6, pp. 1-18, Golder Assoc., Redmond, Wash.
11. Doughty, C. (1998), Ponded infiltration test in fractured basalt at the Box Canyon site: 3. Numerical modeling, Rep. LBNL-40630, Lawrence Berkeley Natl. Lab., Berekely, Calif.
12. Doughty, C. (1999), Investigation of conceptual and numerical approaches for evaluating moisture, gas, chemical and heat transport in fractured rock, J. Contam. Hydrol., 38, 69-106.
13. Follin, S., and R. Thunvik (1994), On the use of continuum approximations for regional modeling of groundwater flow through crystalline rocks, Adv. Water Res., 17(4), 133-145.
14. Hassanizadeh, M., and W. G. Gray (1979), General conservation equations for multiphase systems: 1. Averaging procedure, Adv. Water Resour., 2, 131-144.
15. Hsieh, P. A., and S. P. Neuman (1985), Field determination of the three-dimensional hydraulic conductivity tensor of anisotropic media: 1. Theory, Water Resour. Res., 21(11), 1655-1665.
16. Hsieh, P. A., S. P. Neuman, G. K. Stiles, and E. S. Simpson (1985), Field determination of the three-dimensional hydraulic conductivity tensor of anisotropic media: 2. Methodology and applications to fractured rocks, Water Resour. Res., 21(11), 1667-1676.
17. Kulatilake, P. H., and B. B. Panda (2000), Effect of block size and joint geometry on jointed rock hydraulics and REV, J. Eng. Mech., 126(8), 850-858.
18. LaPointe, P. R., P. Wallman, and S. Follin (1995), Estimation of effective block conductivities based on discrete network analyses using data from Aspo site, SKB Tech. Rep. TR-95-15, Swed. Nucl. Power and Waste Manage Co., Stockholm.
19. Lichtner, P. (2000), Critique of dual continuum formulations of multicomponent reactive transport in fractured porous media, in Dynamics of Fluids in Fractured Rocks, Geophys. Monogr. Ser., vol. 122, edited by B. Faybishenko et al., pp. 281-298, AGU, Washington, D. C.
20. Long, J. C., J. S. Remer, C. R. Wilson, and P. A. Witherspoon (1982), Porous media equivalents for networks of discontinuous fractures, Water Resour. Res., 18(3), 645-658.
21. Manzocchi, T. (2002), The connectivity of two-dimensional networks of spatially correlated fractures, Water Resour. Res., 38(9), 1162, doi:10.1029/2000WR000180.
22. Marle, C. M. (1982), On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media, Int. J. Eng. Sci., 20, 643-662.
23. Marsily, G. (1985), Flow and transport in fractured rocks: Connectivity and scale effect, Mem. Int. Assoc. Hydrogeol, XVII, 267-277.
24. Miller, I., G. Lee, and W. Dershowitz (1999), MAFIC - Matrix/Fracture Interaction Code With Heat and Solute Transport: User Documentation, Version 1.6, pp. 1-87, Golder Assoc., Redmond, Wash.
25. National Research Council (1996), Rock Fractures and Fluid Flow - Contemporary Understanding and Applications, 551 pp., Natl. Acad. Press, Washington, D. C.
26. Neuman, S. P. (1987), Stochastic continuum representation of fractured rock permeability as an alternative to the REV and fracture network concepts, in Rock Mechanics: Proceedings of the 28th U.S. Symposium on Rock Mechanics, edited by I. W. Farmer et al., pp. 533-561, A. A. Balkema, Brookfield, Vt.
27. Oda, M. (1985), Permeability tensor for discontinuous rock masses, Geotechnique, 55, 483-495.
28. Oda, M. (1986), An equivalent continuum model for coupled stress and fluid flow analysis in jointed rock masses, Water Resour. Res., 22(13), 1845-1856.
29. Odling, N. E., et al. (1999), Variations in fracture system geometry and their implications for fluid flow in fractured hydrocarbon reservoirs, Petrol. Geosci., 5, 373-384.
30. Olsson, O. (1992), Site characterization and validation, final report, Stripa Proj. 92-22, Conterra AB, Uppsala, Sweden.
31. Pruess, K., J. S. Y. Wang, and Y. W. Tsang (1990), On thermohydrological conditions near high-level nuclear wastes emplaced in partially saturated fractured tuff: 2. Effective continuum approximation, Water Resources Res., 26(6), 1249-1261.
32. Pruess, K., B. Faybishenko, and G. S. Bodvarsson (1999), Alternative concepts and approaches for modeling flow and transport in thick unsaturated zones of fractured rocks, J. Contam. Hydrol., (38), 281-322.
33. Raats, P. A., and A. Klute (1968), Transport in soils: The balance of momentum, Soil Sci. Soc. Am. Proc., 3, 452-456.
34. Robinson, P. C. (1984), Connectivity, flow and transport in network models of fractured media, Ph.D. dissertation, Oxford Univ., Oxford, UK.
35. Rouleau, A., and J. E. Gale (1987), Stochastic discrete fracture simulation of ground water flow into an underground excavation in granite, Int. J. Rock Mech. Min. Sci., 24(2), 99-112.
36. Schwartz, F. W., L. Smith, and A. S. Crowe (1983), A stochastic analysis of macroscopic dispersion in fractured media, Water Resour. Res., 19, 1253-1265.
37. Shapiro, A. M., and J. Andersson (1985), Simulation of steady state flow in three dimensional fracture networks using boundary element method, Adv. Water Resour., 8(3), 106-110.
38. Shapiro, A. M., W. W. Wood, E. Busenberg, S. Drenkard, L. N. Plummer, T. Torgersen, and P. Schlosser (1996), A conceptual model for estimating regional ground-water velocity in bedrock of the Mirror Lake area, Grafton County, New Hampshire, in U.S. Geological Survey Toxic Substances Hydrology Program - Proceedings of the Technical Meeting, Colorado Springs, Colorado, September 20-24, 1993, edited by D. W. Morganwalp and D. A. Aronson, U.S. Geol. Surv. Water Resour. Invest. Rep., 94-4015, 1, 171-177.
39. Sposito, G. (1978), The statistical mechanical theory of water transport through unsaturated soil: 1. The conservation laws, Water Resour. Res., 14, 479-484.
40. Svensson, U. (2001a), A continuum representation of fracture networks: I. Method and basic test cases, J. Hydrol., 250(1-4), 170-186.
41. Svensson, U. (2001b), A continuum representation of fracture networks: II. Application to the Aspo Hard Rock Laboratory, J. Hydrol., 250(1-4), 187-205.
42. Tsang, Y. W., C. F. Tsang, F. V. Hale, and B. Dverstop (1996), Tracer transport in a stochastic continuum model of fractured media, Water Resour. Res., 32, 3077-3092.
43. Thunvik, R., and C. Braester (1990), Gas migration in discrete fracture networks, Water Resour. Res., 26(10), 2425-2434.
44. Vesselinov, V., S. Neuman, and W. Illman (2001a), Three-dimensional numerical inversion of pneumatic cross-hole tests in unsaturated fractured tuff: 1. Methodology and borehole effects, Water Resour. Res., 37(12), 3001-3018.
45. Vesselinov, V., S. Neuman, and W. Illman (2001b), Three-dimensional numerical inversion of pneumatic cross-hole tests in unsaturated fractured tuff: 2. Equivalent parameters, high-resolution stochastic imaging, and scale effects, Water Resour. Res., 37(12), 3019-3042.
46. Wu, Y., L. Guoping, K. Zhang, and G. S. Bodvarsson (2004), A mountain-scale model for characterizing unsaturated flow, Vadose Zone J., 3, 796-805.