J. A. Acuna and Y. C. Yortsos, Application of Fractal Geometry to the Study of Networks of Fractures and Their Pressure Transient, Water Resources Research, vol.52, issue.B2, pp.527-54010, 1995.
DOI : 10.1029/94WR02260

V. Ambegaokar, Hopping Conductivity in Disordered Systems, Physical Review B, vol.4, issue.8, pp.2612-2620, 1971.
DOI : 10.1103/PhysRevB.4.2612

A. Baghbanan and L. R. Jing, Hydraulic properties of fractured rock masses with correlated fracture length and aperture, International Journal of Rock Mechanics and Mining Sciences, vol.44, issue.5, pp.704-719, 2007.
DOI : 10.1016/j.ijrmms.2006.11.001

I. Balberg, Excluded volume and its relation to the onset of percolation, Physical Review B, vol.30, issue.7, pp.3933-3943, 1984.
DOI : 10.1103/PhysRevB.30.3933

J. A. Barker, A generalized radial flow model for hydraulic tests in fractured rock, Water Resources Research, vol.16, issue.1, pp.1796-180410, 1988.
DOI : 10.1029/WR024i010p01796

E. Bonnet, Scaling of fracture systems in geological media, Reviews of Geophysics, vol.91, issue.11, pp.347-38310, 2001.
DOI : 10.1029/1999RG000074

E. Bouchaud, Fractal Dimension of Fractured Surfaces: A Universal Value?, Europhysics Letters (EPL), vol.13, issue.1, pp.73-79, 1990.
DOI : 10.1209/0295-5075/13/1/013

O. Bour and P. Davy, On the connectivity of three-dimensional fault networks, Water Resources Research, vol.100, issue.B1, pp.2611-262210, 1998.
DOI : 10.1029/98WR01861

O. Bour and P. Davy, Clustering and size distributions of fault patterns: Theory and measurements, Geophysical Research Letters, vol.1515, issue.2, pp.10-1029, 1999.
DOI : 10.1029/1999GL900419

F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, pp.10-1007, 1991.
DOI : 10.1007/978-1-4612-3172-1

S. Brown, Fluid flow through rock joints: The effect of surface roughness, Journal of Geophysical Research, vol.316, issue.B2, pp.1337-134710, 1987.
DOI : 10.1029/JB092iB02p01337

S. R. Brown, Simple mathematical model of a rough fracture, Journal of Geophysical Research: Solid Earth, vol.139, issue.B4, pp.5941-595210, 1995.
DOI : 10.1029/94JB03262

S. R. Brown and C. H. Scholz, Broad bandwidth study of the topography of natural rock surfaces, Journal of Geophysical Research, vol.316, issue.B14, pp.575-1210, 1985.
DOI : 10.1029/JB090iB14p12575

S. R. Brown, Correlation between the surfaces of natural rock joints, Geophysical Research Letters, vol.16, issue.13, pp.1430-143310, 1986.
DOI : 10.1029/GL013i013p01430

S. R. Brown, Applicability of the Reynolds Equation for modeling fluid flow between rough surfaces, Geophysical Research Letters, vol.28, issue.18, pp.2537-254010, 1995.
DOI : 10.1029/95GL02666

M. C. Cacas, Modeling fracture flow with a stochastic discrete fracture network: calibration and validation: 1. The flow model, Water Resources Research, vol.26, issue.4485, pp.479-489, 1990.
DOI : 10.1029/WR026i003p00479

M. C. Cacas, Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation: 2. The transport model, Water Resources Research, vol.26, issue.3, pp.491-500, 1990.
DOI : 10.1029/WR026i003p00491

F. Cappa, Hydromechanical modelling of pulse tests that measure fluid pressure and fracture normal displacement at the Coaraze Laboratory site, France, International Journal of Rock Mechanics and Mining Sciences, vol.43, issue.7, pp.1062-1082, 2006.
DOI : 10.1016/j.ijrmms.2006.03.006

P. A. Cello, Flow Dimension and Anomalous Diffusion of Aquifer Tests in Fracture Networks, Vadose Zone Journal, vol.8, issue.1, pp.258-268, 2009.
DOI : 10.2136/vzj2008.0040

E. Charlaix, Permeability of a random array of fractures of widely varying apertures, Transp. Porous Media, pp.31-43, 1987.
DOI : 10.1007/BF00208535

C. Clauser, Permeability of crystalline rocks, Eos, Transactions American Geophysical Union, vol.73, issue.21, pp.7310-1029, 1992.
DOI : 10.1029/91EO00190

N. G. Cook, Natural joints in rock: Mechanical, hydraulic and seismic behaviour and properties under normal stress, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.29, issue.3, 1992.
DOI : 10.1016/0148-9062(92)93656-5

C. Darcel, Cross-correlation between length and position in real fracture networks, Geophysical Research Letters, vol.94, issue.10, pp.165010-1029, 2003.
DOI : 10.1029/2001JB000176

C. Darcel, Stereological analysis of fractal fracture networks, Journal of Geophysical Research: Solid Earth, vol.305, issue.5, pp.245110-1029, 2003.
DOI : 10.1029/2001JB000493

T. A. Davis and I. S. Duff, A combined unifrontal/multifrontal method for unsymmetric sparse matrices, ACM Transactions on Mathematical Software, vol.25, issue.1, pp.1-20, 1999.
DOI : 10.1145/305658.287640

P. Davy, Flow in multiscale fractal fracture networks, Geological Society, London, Special Publications, vol.261, issue.1, pp.31-45, 2006.
DOI : 10.1144/GSL.SP.2006.261.01.03

P. Davy, A note on the angular correction applied to fracture intensity profiles along drill core, Journal of Geophysical Research: Solid Earth, vol.15, issue.B9, pp.10-1029, 2006.
DOI : 10.1016/S0191-8141(02)00016-0

URL : https://hal.archives-ouvertes.fr/hal-00128410

P. Davy, A likely universal model of fracture scaling and its consequence for crustal hydromechanics, Journal of Geophysical Research, vol.95, issue.5, pp.10-1029, 2010.
DOI : 10.1029/2009JB007043

URL : https://hal.archives-ouvertes.fr/insu-00605039

J. De-dreuzy and P. Davy, Relation between fractional flow models and fractal or long-range 2-D permeability fields, Water Resources Research, vol.33, issue.12, pp.10-1029, 2007.
DOI : 10.1029/2006WR005236

URL : https://hal.archives-ouvertes.fr/insu-00155107

J. R. De-dreuzy, Percolation parameter and percolation-threshold estimates for three-dimensional random ellipses with widely scattered distributions of eccentricity and size, Physical Review E, vol.62, issue.5, pp.5948-5952, 2000.
DOI : 10.1103/PhysRevE.62.5948

J. R. De-dreuzy, Advective transport in the percolation backbone in two dimensions, Physical Review E, vol.64, issue.5, p.56305, 2001.
DOI : 10.1103/PhysRevE.64.056305

J. R. De-dreuzy, Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 2. Permeability of networks based on lognormal distribution of apertures, Water Resources Research, vol.94, issue.8, pp.2079-209510, 2001.
DOI : 10.1029/2001WR900010

J. R. De-dreuzy, Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 1. Effective connectivity, Water Resources Research, vol.29, issue.8, pp.2065-2078, 2001.
DOI : 10.1029/2001WR900011

J. R. De-dreuzy, Permeability of 2D fracture networks with power-law distributions of length and aperture, Water Resour. Res, vol.38, issue.12, pp.127610-1029, 2002.

J. De-dreuzy, Influence of spatial correlation of fracture centers on the permeability of two-dimensional fracture networks following a power law length distribution, Water Resources Research, vol.4, issue.12, pp.10-1029, 2004.
DOI : 10.1029/2003WR002260

J. R. De-dreuzy, Anomalous diffusion exponents in continuous two-dimensional multifractal media, Physical Review E, vol.70, issue.1, 2004.
DOI : 10.1103/PhysRevE.70.016306

J. De-dreuzy, Use of power-averaging for quantifying the influence of structure organization on permeability upscaling, Water Resour. Res, pp.10-1029, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00537053

J. De-dreuzy, Synthetic benchmark for modeling flow in 3D fractured media, Computers & Geosciences, vol.50, 2012.
DOI : 10.1016/j.cageo.2012.07.025

URL : https://hal.archives-ouvertes.fr/hal-00735675

W. S. Dershowitz and C. Fidelibus, Derivation of equivalent pipe network analogues for three-dimensional discrete fracture networks by the boundary element method, Water Resources Research, vol.25, issue.3, pp.2685-269110, 1999.
DOI : 10.1029/1999WR900118

A. J. Desbarats, Spatial averaging of transmissivity in heterogeneous fields with flow toward a well, Water Resources Research, vol.1, issue.1/2, pp.757-76710, 1992.
DOI : 10.1029/91WR03099

R. L. Detwiler, Measurement of fracture aperture fields using transmitted light: An evaluation of measurement errors and their influence on simulations of flow and transport through a single fracture, Water Resources Research, vol.32, issue.45, pp.2605-261710, 1999.
DOI : 10.1029/1999WR900164

W. B. Durham, Laboratory observations of the hydraulic behavior of a permeable fracture from 3800 m depth in the KTB pilot hole, Journal of Geophysical Research: Solid Earth, vol.31, issue.B8, pp.405-1810, 1997.
DOI : 10.1029/96JB02813

W. B. Durham and B. P. Bonner, Closure and fluid flow in discrete fractures, Fractured and Jointed Rock Masses, pp.441-446, 1995.

J. Erhel, Flow Simulation in Three-Dimensional Discrete Fracture Networks, SIAM Journal on Scientific Computing, vol.31, issue.4, pp.2688-270510, 2009.
DOI : 10.1137/080729244

URL : https://hal.archives-ouvertes.fr/insu-00573222

J. Erhel, A parallel scientific software for heterogeneous hydrogeoloy, Lect. Notes in Comput. Sci. and Eng, vol.67, pp.39-48, 2007.
DOI : 10.1007/978-3-540-92744-0_5

J. Erhel, Multi-parametric intensive stochastic simulations for hydrogeology on a computational grid, Lect. Notes in Comput. Sci. and Eng, vol.74, pp.389-397, 2011.
DOI : 10.1007/978-3-642-14438-7_41

URL : https://hal.archives-ouvertes.fr/hal-01197308

A. Frampton and V. Cvetkovic, Upscaling particle transport in discrete fracture networks: 1. Nonreactive tracers, Water Resources Research, vol.20, issue.4, pp.10-1029, 2007.
DOI : 10.1029/2006WR005334

A. Frampton and V. Cvetkovic, Significance of injection modes and heterogeneity on spatial and temporal dispersion of advecting particles in two-dimensional discrete fracture networks, Advances in Water Resources, vol.32, issue.5, pp.649-658, 2009.
DOI : 10.1016/j.advwatres.2008.07.010

P. W. Glover, Synthetic rough fractures in rocks, Journal of Geophysical Research: Solid Earth, vol.28, issue.B5, pp.9609-962010, 1998.
DOI : 10.1029/97JB02836

H. Hamzehpour, Percolation and permeability of networks of heterogeneous fractures, Physical Review E, vol.79, issue.3, p.36302, 2009.
DOI : 10.1103/PhysRevE.79.036302

URL : https://hal.archives-ouvertes.fr/hal-00420315

J. Hoshen, Percolation and cluster structure parameters: The enhanced Hoshen-Kopelman algorithm, Physical Review E, vol.56, issue.2, pp.1455-1460, 1997.
DOI : 10.1103/PhysRevE.56.1455

P. A. Hsieh, Scale effects in fluid flow through fractured geological media, in Scale Dependence and Scale Invariance in Hydrology, pp.335-35310, 1998.

P. A. Hsieh, Methods of characterizing fluid movement and chemical transport in fractured rock, in Field Trip Guidebook for Northeastern United States, Geol. Soc. of Am, pp.1-30, 1993.

A. G. Hunt and G. W. Gee, Application of critical path analysis to fractal porous media: comparison with examples from the Hanford site, Advances in Water Resources, vol.25, issue.2, pp.129-146, 2002.
DOI : 10.1016/S0309-1708(01)00057-4

E. Isakov, Fluid flow through rough fractures in rocks I: high resolution aperture determinations, Earth and Planetary Science Letters, vol.191, issue.3-4, pp.3-4, 2001.
DOI : 10.1016/S0012-821X(01)00424-1

S. H. Ji, Influence of fracture connectivity and characterization level on the uncertainty of the equivalent permeability in statistically conceptualized fracture networks, Transp. Porous Media, pp.385-395, 2011.

H. Jourde, Relationship between the geometrical and structural properties of layered fractured rocks and their effective permeability tensor. A simulation study, Journal of Hydrology, vol.337, issue.1-2, pp.117-132, 2007.
DOI : 10.1016/j.jhydrol.2007.01.027

T. Kalbacher, Geometric modelling and object-oriented software concepts applied to a heterogeneous fractured network from the Grimsel rock laboratory, Computational Geosciences, vol.16, issue.6, pp.9-2610, 2007.
DOI : 10.1007/s10596-006-9032-8

L. Borgne and T. , Equivalent mean flow models for fractured aquifers: Insights from a pumping tests scaling interpretation, Water Resources Research, vol.305, issue.23, pp.10-1029, 2004.
DOI : 10.1029/2003WR002436

L. 'ecuyer and P. , An Object-Oriented Random-Number Package with Many Long Streams and Substreams, Operations Research, vol.50, issue.6, pp.1073-1075, 2002.
DOI : 10.1287/opre.50.6.1073.358

L. Goc and R. , Statistical characteristics of flow as indicators of channeling in heterogeneous porous and fractured media, Advances in Water Resources, vol.33, issue.3, pp.257-269, 2010.
DOI : 10.1016/j.advwatres.2009.12.002

URL : https://hal.archives-ouvertes.fr/insu-00577996

V. Lenti and C. Fidelibus, A BEM solution of steady-state flow problems in discrete fracture networks with minimization of core storage, Computers & Geosciences, vol.29, issue.9, pp.1183-119010, 2003.
DOI : 10.1016/S0098-3004(03)00140-7

C. T. Leung and R. W. Zimmerman, Estimating the hydraulic conductivity of two-dimensional fracture networks using effective medium theory and power-law averaging, Rock Mechanics in Civil and Environmental Engineering, pp.243-246, 2010.

J. C. Long and P. A. Witherspoon, The relationship of the degree of interconnection to permeability in fracture networks, Journal of Geophysical Research, vol.5, issue.6, pp.3087-309810, 1985.
DOI : 10.1029/JB090iB04p03087

J. C. Long, Porous media equivalents for networks of discontinuous fractures, Water Resources Research, vol.16, issue.6, pp.645-658, 1982.
DOI : 10.1029/WR018i003p00645

J. C. Long, A Model for Steady Fluid Flow in Random Three-Dimensional Networks of Disc-Shaped Fractures, Water Resources Research, vol.5, issue.6, pp.1105-111510, 1985.
DOI : 10.1029/WR021i008p01105

J. Maryka, Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model, Computational Geosciences, vol.31, issue.3, pp.217-234, 2004.
DOI : 10.1007/s10596-005-0152-3

Y. Méheust and J. Schmittbuhl, Flow enhancement of a rough fracture, Geophysical Research Letters, vol.23, issue.12, pp.2989-299210, 2000.
DOI : 10.1029/1999GL008464

Y. Méheust and J. Schmittbuhl, Geometrical heterogeneities and permeability anisotropy of rough fractures, Journal of Geophysical Research: Solid Earth, vol.23, issue.B2, pp.2089-210210, 2001.
DOI : 10.1029/2000JB900306

Y. Méheust and J. Schmittbuhl, Scale Effects Related to Flow in Rough Fractures, Pure and Applied Geophysics, vol.160, issue.5, pp.1023-105010, 2003.
DOI : 10.1007/PL00012559

R. Mettier, Influence of Small-Scale Heterogeneities on Contaminant Transport in Fractured Crystalline Rock, Ground Water, vol.50, issue.3, pp.687-696, 2006.
DOI : 10.1111/j.1745-6584.2006.00236.x

H. Mustapha, Simulation numérique de l'écoulement dans des milieux fracturés tridimensionnels, Rock Fractures and Fluid Flow, 1996.

S. P. Neuman, Trends, prospects and challenges in quantifying flow and transport through fractured rocks, Hydrogeology Journal, vol.122, issue.1, pp.124-147, 2005.
DOI : 10.1007/s10040-004-0397-2

B. Noetinger and N. Jarrige, A quasi steady state method for solving transient Darcy flow in complex 3D fractured networks, Journal of Computational Physics, vol.231, issue.1, pp.23-38, 2012.
DOI : 10.1016/j.jcp.2011.08.015

URL : https://hal.archives-ouvertes.fr/hal-01115492

A. W. Nordqvist, Effects of high variance of fracture transmissivity on transport and sorption at different scales in a discrete model for fractured rocks, Journal of Contaminant Hydrology, vol.22, issue.1-2, pp.39-6610, 1996.
DOI : 10.1016/0169-7722(95)00064-X

S. Painter and V. Cvetkovic, Upscaling discrete fracture network simulations: An alternative to continuum transport models, Water Resources Research, vol.112, issue.4, pp.10-1029, 2005.
DOI : 10.1029/2004WR003682

Y. Park, Transport and intersection mixing in random fracture networks with power law length distributions, Water Resources Research, vol.12, issue.1, pp.2493-250110, 2001.
DOI : 10.1029/2000WR000131

B. N. Persson, Elastoplastic Contact between Randomly Rough Surfaces, Physical Review Letters, vol.87, issue.11, 2001.
DOI : 10.1103/PhysRevLett.87.116101

B. N. Persson, F. Bucher, and B. Chiaia, Elastic contact between randomly rough surfaces: Comparison of theory with numerical results, Physical Review B, vol.65, issue.18, 2002.
DOI : 10.1103/PhysRevB.65.184106

G. Pichot, A mixed hybrid Mortar method for solving flow in discrete fracture networks, Applicable Analysis, vol.19, issue.10, pp.1629-1643, 2010.
DOI : 10.1137/S1064827503429363

URL : https://hal.archives-ouvertes.fr/inria-00537078

G. Pichot, A Generalized Mixed Hybrid Mortar Method for Solving Flow in Stochastic Discrete Fracture Networks, SIAM Journal on Scientific Computing, vol.34, issue.1, pp.86-105, 2012.
DOI : 10.1137/100804383

URL : https://hal.archives-ouvertes.fr/insu-00681662

A. R. Piggot, Fractal relations for the diameter and trace length of disc-shaped fractures, Journal of Geophysical Research: Solid Earth, vol.100, issue.B8, pp.121-18125, 1997.
DOI : 10.1029/97JB01202

B. Poirriez, Étude et mise en oeuvre d'une méthode de sousdomaines pour la modélisation de l'écoulement dans des réseaux de fractures en 3D, Univ. of Rennes, vol.1, 2011.

W. L. Power and W. B. Durham, Topography of natural and artificial fractures in granitic rocks: Implications for studies of rock friction and fluid migration, International Journal of Rock Mechanics and Mining Sciences, vol.34, issue.6, pp.979-98910, 1997.
DOI : 10.1016/S1365-1609(97)80007-X

L. J. Pyrak-nolte and J. P. Morris, Single fractures under normal stress: The relation between fracture specific stiffness and fluid flow, International Journal of Rock Mechanics and Mining Sciences, vol.37, issue.1-2, pp.245-262, 2000.
DOI : 10.1016/S1365-1609(99)00104-5

P. A. Raviart and J. M. Thomas, A mixed finite element method for 2-nd order elliptic problems, Mathematical Aspects of the Finite Element Method, pp.292-31510, 1977.
DOI : 10.1007/BF01436186

P. Renard and G. De-marsily, Calculating equivalent permeability: a review, Advances in Water Resources, vol.20, issue.5-6, pp.5-6, 1997.
DOI : 10.1016/S0309-1708(96)00050-4

M. J. Ronayne and S. M. Gorelick, Effective permeability of porous media containing branching channel networks, Physical Review E, vol.73, issue.2, p.26305, 2006.
DOI : 10.1103/PhysRevE.73.026305

M. Sahimi, Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata, and simulated annealing, Reviews of Modern Physics, vol.65, issue.4, pp.1393-1534, 1993.
DOI : 10.1103/RevModPhys.65.1393

J. Schmittbuhl, Field measurements of the roughness of fault surfaces, Geophysical Research Letters, vol.126, issue.8, pp.639-641, 1993.
DOI : 10.1029/93GL00170

J. Schmittbuhl, Scaling invariance of crack surfaces, Journal of Geophysical Research: Solid Earth, vol.94, issue.3, pp.5953-5973, 1995.
DOI : 10.1029/94JB02885

P. Segall and D. D. Pollard, Joint formation in granitic rock of the Sierra Nevada, 94<563:JFIGRO>2.0.CO, pp.563-57510, 1983.
DOI : 10.1130/0016-7606(1983)94<563:JFIGRO>2.0.CO;2

D. T. Snow, Anisotropic permeability of fractured media, Water Resour. Res, vol.6, pp.1273-128910, 1969.

D. Stauffer and A. Aharony, Introduction to Percolation Theory, 1992.

L. Talon, Permeability estimates of self-affine fracture faults based on generalization of the bottleneck concept, Water Resources Research, vol.9, issue.8, pp.10-1029, 2010.
DOI : 10.1029/2009WR008404

L. Talon, Permeability of self-affine aperture fields, Physical Review E, vol.82, issue.4, 2010.
DOI : 10.1103/PhysRevE.82.046108

URL : https://hal.archives-ouvertes.fr/hal-00472230

M. E. Thompson, Numerical simulation of solute transport in rough fractures, Journal of Geophysical Research: Solid Earth, vol.93, issue.12, pp.4157-4166, 1991.
DOI : 10.1029/90JB02385

M. Thompson and S. Brown, The effect of anisotropic surfaceroughness on flow and transport in fractures, J. Geophys. Res, vol.96932, issue.21, pp.923-2110, 1991.

C. Tsang and I. Neretnieks, Flow channeling in heterogeneous fractured rocks, Reviews of Geophysics, vol.32, issue.10, pp.275-29810, 1998.
DOI : 10.1029/97RG03319

M. Vohralik, Mixed and nonconforming finite element methods on a system of polygons, Applied Numerical Mathematics, vol.57, issue.2, pp.176-193, 2007.
DOI : 10.1016/j.apnum.2006.02.005

T. P. Wellman, Effects of simplifying fracture network representation on inert chemical migration in fracture-controlled aquifers, Water Resources Research, vol.42, issue.3, pp.10-1029, 2009.
DOI : 10.1029/2008WR007025

P. Witherspoon, Observations of a potential size effect in experimental determination of the hydraulic properties of fractures, Water Resources Research, vol.14, issue.5, pp.1142-114610, 1979.
DOI : 10.1029/WR015i005p01142

P. A. Witherspoon, Validity of Cubic Law for fluid flow in a deformable rock fracture, Water Resources Research, vol.15, issue.5, pp.1016-102410, 1980.
DOI : 10.1029/WR016i006p01016

T. C. Yeh and S. Y. Liu, Hydraulic tomography: Development of a new aquifer test method, Water Resources Research, vol.33, issue.1, pp.2095-210510, 2000.
DOI : 10.1029/2000WR900114

R. W. Zimmerman and G. S. Bodvarsson, Effective transmissivity of two-dimensional fracture networks, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.33, issue.4, pp.433-438, 1996.
DOI : 10.1016/0148-9062(95)00067-4