Connectivity-consistent mapping method for 2-D discrete fracture networks

Water Resources Research

Volumn 46, Issue 7, 2010, Pages

  Roubinet, Delphine ^a   De Dreuzy, Jean Raynald ^a   Davy, Philippe ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE FRACTURE NETWORK; DISCRETIZATIONS; FLOW COMPUTATION; FLOW EQUATIONS; FRACTURE NETWORK; GLOBAL DOMAIN; MAPPING METHOD; MATRIX; MODEL SIMPLIFICATION; MULTI-GRID; MULTIFRONTAL METHODS; PERMEABILITY MODEL; REPRESENTATIVE ELEMENTARY VOLUME; SIMULATION COMPLEXITY; SYSTEM SIZE; TENSOR METHOD; TENSOR REPRESENTATION;

FRACTURE; HYDRAULICS; MATRIX ALGEBRA; TENSORS;

FLOW SIMULATION;

COMPUTER SIMULATION; FLOW PATTERN; FLOW STRUCTURE; FRACTURE FLOW; FRACTURE NETWORK; MAPPING METHOD; PERMEABILITY;

EID: 77955178011     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009WR008302     Document Type: Article

References (36)

1. Ando, K., et al. (2003), Stochastic continuum modeling of flow and transport in a crystalline rock mass: Fanay Augeres, France, revisited, Hydrogeol. J., 11(5), 521-535, doi:10.1007/s10040-003-0286-0. (Pubitemid 37450482)
2. Baghbanan, A., and L. R. Jing (2007), Hydraulic properties of fractured rock masses with correlated fracture length and aperture, Int. J. Rock Mech. Min. Sci., 44(5), 704-719, doi:10.1016/j.ijrmms.2006.11.001.
3. Barker, J. A. (1991), The reciprocity principle and an analytical solution for Darcian flow in a network, Water Resour. Res., 27(5), 743-746, doi:10.1029/91WR00258.
4. Berkowitz, B., O. Bour, P. Davy, and N. Odling (2000), Scaling of fracture connectivity in geological formations, Geophys. Res. Lett., 27(14), 2061-2064, doi:10.1029/1999GL011241. (Pubitemid 32040385)
5. Bonnet, E., O. Bour, N. E. Odling, P. Davy, I. Main, P. Cowie, and B. Berkowitz (2001), Scaling of fracture systems in geological media, Rev. Geophys., 39(3), 347-383, doi:10.1029/1999RG000074. (Pubitemid 32901533)
6. Botros, F. E., A. E. Hassan, D. M. Reeves, and G. Pohll (2008), On mapping fracture networks onto continuum, Water Resour. Res., 44, W08435, doi:10.1029/2007WR006092.
7. Bour, O., and P. Davy (1997), Connectivity of random fault networks following a power law fault length distribution, Water Resour. Res., 33(7), 1567-1583.
8. Bour, O., and P. Davy (1998), On the connectivity of three dimensional fault networks, Water Resour. Res., 34(10), 2611-2622, doi:10.1029/ 98WR01861.
9. Bourbiaux, B., et al. (1998), A rapid and efficient methodology to convert fractured reservoir images into a dualporosity model, Rev. Inst. Fr. Pet., 53(6), 785-799.
10. Chavent, G., and J. E. Roberts (1991), A unified physical presentation of mixed, mixedhybrid finiteelements and standard finitedifference approximations for the determination of velocities in waterflow problems, Adv. Water Resour., 14(6), 329-348, doi:10.1016/0309-1708(91)90020-O.
11. Chen, S. H., et al. (2008), Numerical estimation of REV and permeability tensor for fractured rock masses by composite element method, Int. J. Numer. Anal. Methods Geomech., 32(12), 1459-1477, doi:10.1002/ nag.679.
12. Cvetkovic, V., S. Painter, N. Outters, and J. O. Selroos (2004), Stochastic simulation of radionuclide migration in discretely fractured rock near the Äspö Hard Rock Laboratory, Water Resour. Res., 40, W02404, doi:10.1029/2003WR002655.
13. Davis, T. A. (2004), Algorithm 832: UMFPACK V4.3-An unsymmetricpattern multifrontal method, Trans. Math. Software, 30(2), 196-199, doi:10.1145/992200. 992206.
14. Davy, P., et al. (2006), Flow in multiscale fractal fracture networks, Fractal Anal. Nat. Hazards, 261, 31-45.
15. Davy, P., R. Le Goc, C. Darcel, O. Bour, J. R. de Dreuzy, and R. Munier (2010), A likely universal model of fracture scaling and its consequence for crustal hydromechanics, J. Geophys. Res., doi:10.1029/ 2009JB007043, in press.
16. de Dreuzy, J. R., and J. Erhel (2003), Efficient algorithms for the determination of the connected fracture network and the solution to the steady state flow equation in fracture networks, Comput. Geosci., 29(1), 107-111, doi:10.1016/S0098-3004(02)00081-X. (Pubitemid 36006383)
17. de Dreuzy, J. R., P. Davy, and O. Bour (2001a), Hydraulic properties of twodimensional random fracture networks following a power law length distribution: 2. Permeability of networks based on lognormal distribution of apertures, Water Resour. Res., 37(8), 2079-2095, doi:10.1029/ 2001WR900010.
18. de Dreuzy, J. R., P. Davy, and O. Bour (2001b), Hydraulic properties of twodimensional random fracture networks following a power law length distribution: 1. Effective connectivity, Water Resour. Res., 37(8), 2065-2078, doi:10.1029/2001WR900011. (Pubitemid 32686445)
19. de Dreuzy, J. R., P. Davy, and O. Bour (2002), Hydraulic properties of twodimensional random fracture networks following power law distributions of length and aperture, Water Resour. Res., 38(12), 1276, doi:10.1029/2001WR001009.
20. Dershowitz, W. S., and C. Fidelibus (1999), Derivation of equivalent pipe network analogues for threedimensional discrete fracture networks by the boundary element method, Water Resour. Res., 35(9), 2685-2691, doi:10.1029/1999WR900118.
21. Durlofsky, L. J. (1991), Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media, Water Resour. Res., 27(5), 699-708, doi:10.1029/91WR00107.
22. Efendiev, Y., and T. Hou (2007), Multiscale finite element methods for porous media flows and their applications, Appl. Numer. Math., 57(5-7), 577-596, doi:10.1016/j.apnum.2006.07.009. (Pubitemid 46584738)
23. Erhel, J., et al. (2009),A parallel scientific software for heterogeneous hydrogeology, in Parallel Computational Fluid Dynamics 2007, edited by I. H. Tuncer, pp. 39-48, doi:10.1007/978-3-540-92744-05, Springer, Berlin.
24. Falgout, R. D., et al. (2005), Pursuing scalability for Hypre's conceptual interfaces, Trans. Math. Software, 31(3), 326-350, doi:10.1145/ 1089014.1089018.
25. Hsieh, P. A. (1998), Scale effects in fluid flow through fractured geological media, in Scale Dependence and Scale Invariance in Hydrology, edited by G. Sposito, pp. 335-353, Cambridge Univ. Press, Cambridge, U. K.
26. Jackson, C. P., A. R. Hoch, and S. Todman (2000), Selfconsistency of a heterogeneous continuum porous medium representation of a fractured medium, Water Resour. Res., 36(1), 189-202, doi:10.1029/ 1999WR900249.
27. KarimiFard, M., B. Gong, and L. J. Durlofsky (2006), Generation of coarsescale continuum flow models from detailed fracture characterizations, Water Resour. Res., 42(10), W10423, doi:10.1029/2006WR005015. (Pubitemid 44859716)
28. Lee, S. H., M. F. Lough, and C. L. Jensen (2001), Hierarchical modeling of flow in naturally fractured formations with multiple length scales, Water Resour. Res., 37(3), 443-455, doi:10.1029/2000WR900340. (Pubitemid 32526049)
29. Li, J. H., et al. (2009), Permeability tensor and representative elementary volume of saturated cracked soil, Can. Geotech. J., 46(8), 928-942, doi:10.1139/T09-037.
30. Long, J. C. S., 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, doi:10.1029/WR018i003p00645.
31. Neuman, S. P. (2005), Trends, prospects and challenges in quantifying flow and transport through fractured rocks, Hydrogeol. J., 13(1), 124-147, doi:10.1007/s10040-004-0397-2.
32. Reeves, D. M., D. A. Benson, and M. M. Meerschaert (2008), Transport of conservative solutes in simulated fracture networks: 1. Synthetic data generation, Water Resour. Res., 44(5), W05404, doi:10.1029/ 2007WR006069.
33. Renard, P., A. Genty, and F. Stauffer (2001), Laboratory determination of the full permeability tensor, J. Geophys. Res., 106(B11), 26,443-26,452, doi:10.1029/2001JB000243.
34. Svensson, U. (2001), A continuum representation of fracture networks. Part I: Method and basic test cases, J. Hydrol., 250(1-4), 170-186, doi:10.1016/S0022-1694(01)00435-8. (Pubitemid 32736197)
35. Tsang, Y. W., C. F. Tsang, F. V. Hale, and B. Dverstorp (1996), Tracer transport in a stochastic continuum model of fractured media, Water Resour. Res., 32(10), 3077-3092, doi:10.1029/96WR01397. (Pubitemid 26369638)
36. Wesseling, P. (2004), An Introduction to Multigrid Methods, R. T. Edwards, Philadelphia, Pa.