A. Hagrey and S. A. , Electric study of fracture anisotropy at Falkenberg, vol.59, pp.881-888, 1994.

A. Baghbanan and L. Jing, Hydraulic properties of fractured rock masses with correlated fracture length and aperture, Int. J. Rock Mech. Min. Sci, vol.44, issue.5, pp.704-719, 2007.

J. Bear, Dynamics of Fluids in Porous Media, Courier Corporation, 2013.

B. Berkowitz, Characterizing flow and transport in fractured geological media: a review, Adv. Water Resour, vol.25, pp.861-884, 2002.

J. G. Berryman and G. M. Hoversten, Modelling electrical conductivity for earth media with macroscopic fluid-filled fractures, Geophys. Prospect, vol.61, issue.2, pp.471-493, 2013.

G. D. Beskardes and C. J. Weiss, Modelling DC responses of 3D complex fracture networks, Geophys. J. Int, vol.214, pp.1901-1912, 2018.

F. Boadu, J. Gyamfi, and E. Owusu, Determining subsurface fracture characteristics from azimuthal resistivity surveys: a case study at Nsawam, vol.70, pp.35-42, 2005.

F. K. Boadu, F. Owusu-nimo, and A. Menyeh, Nitrate contamination in groundwater at farmlands in Nsawam, Ghana: the role of fractures from azimuthal resistivity surveys, J. Environ. Eng. Geophys, vol.13, issue.1, pp.27-37, 2008.

E. Bonnet, O. Bour, N. E. Odling, P. Davy, I. Main et al., Scaling of fracture systems in geological media, Rev. Geophys, vol.39, issue.3, pp.347-383, 2001.

O. Bour and P. Davy, Connectivity of random fault networks following a power law fault length distribution, Water Resour. Res, vol.33, issue.7, pp.1567-1583, 1997.

S. R. Brown, Transport of fluid and electric current through a single fracture, J. geophys. Res, vol.94, issue.B7, pp.9429-9438, 1989.

J. Busby, The effectiveness of azimuthal apparent-resistivity measurements as a method for determining fracture strike orientations, Geophys. Prospect, vol.48, issue.4, pp.677-695, 2000.

V. Caballero-sanz, D. Roubinet, S. Demirel, and J. Irving, 2.5-D discrete-dual-porosity model for simulating geoelectrical experiments in fractured rock, Geophys. J. Int, vol.209, issue.2, pp.1099-1110, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01730118

M. Cacas, E. Ledoux, G. De-marsily, B. Tillie, A. Barbreau et al., Modeling fracture flow with a stochastic discrete fracture network: calibration and validation: 1. The flow model, Water Resour. Res, vol.26, issue.3, pp.479-489, 1990.

G. Cailletaud, D. Jeulin, and P. Rolland, Size effect on elastic properties of random composites, Eng. Comput, vol.11, issue.2, pp.99-110, 1994.

J. F. Carneiro, Numerical simulations on the influence of matrix diffusion to carbon sequestration in double porosity fissured aquifers, Int. J. Greenhouse Gas Control, vol.3, issue.4, pp.431-443, 2009.

E. Caspari, M. Milani, J. Rubino, T. M. Müller, B. Quintal et al., Numerical upscaling of frequency-dependent P-and S-wave moduli in fractured porous media, Geophys. Prospect, vol.64, issue.4, pp.1166-1179, 2016.

J. P. Chiles and P. Delfiner, Geostatistics: Modeling Spatial Uncertainty, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00795336

V. Cvetkovic, Statistical formulation of generalized tracer retention in fractured rock, Water Resour. Res, vol.53, issue.11, pp.8736-8759, 2017.

P. Davy, R. Le-goc, C. Darcel, O. Bour, J. De-dreuzy et al., A likely universal model of fracture scaling and its consequence for crustal hydromechanics, J. geophys. Res, vol.115, 2010.
URL : https://hal.archives-ouvertes.fr/insu-00605039

A. J. Desroches, K. E. Butler, and K. T. Macquarrie, Surface selfpotential patterns related to transmissive fracture trends during a water injection test, Geophys. J. Int, vol.212, issue.3, pp.2047-2060, 2017.

L. Devroye, Non-Uniform Random Variate Generation, 1986.

A. Dey and H. Morrison, Resistivity modeling for arbitrarily shaped two-dimensional structures, Geophys. Prospect, vol.27, issue.1, pp.106-136, 1979.

,. De-dreuzy, P. Davy, and O. Bour, Hydraulic properties of twodimensional random fracture networks following a power law length distribution: 1. Effective connectivity, Water Resour. Res, vol.37, issue.8, pp.2065-2078, 2001.

J. Donadille and S. Al-ofi, Crosswell electromagnetic response in a fractured medium, Geophysics, vol.77, issue.3, pp.53-61, 2012.

C. Dorn, N. Linde, J. Doetsch, T. L. Borgne, and O. Bour, Fracture imaging within a granitic rock aquifer using multiple-offset single-hole and cross-hole GPR reflection data, J. appl. Geophys, vol.78, pp.123-132, 2012.
URL : https://hal.archives-ouvertes.fr/insu-00672800

M. E. Everett, Near-Surface Applied Geophysics, 2013.

S. Follin, L. Hartley, I. Rhén, P. Jackson, S. Joyce et al., A methodology to constrain the parameters of a hydrogeological discrete fracture network model for sparsely fractured crystalline rock, exemplified by data from the proposed high-level nuclear waste repository site at Forsmark, Sweden, Hydrogeol. J, vol.22, issue.2, pp.313-331, 2014.

S. Geiger and S. Emmanuel, Non-Fourier thermal transport in fractured geological media, Water Resour. Res, vol.46, issue.7, p.7504, 2010.

V. R. Gisladottir, D. Roubinet, and D. M. Tartakovsky, Particle methods for heat transfer in fractured media, Transp. Porous Media, vol.115, issue.2, pp.311-326, 2016.

S. Greenhalgh, B. Zhou, M. Greenhalgh, L. Marescot, and T. Wiese, Explicit expressions for the Fréchet derivatives in 3D anisotropic resistivity inversion, Geophysics, vol.74, issue.3, pp.31-43, 2009.

C. Hatton, I. Main, and P. Meredith, Non-universal scaling of fracture length and opening displacement, Nature, vol.367, issue.6459, pp.160-162, 1994.

J. Herwanger, M. Worthington, R. Lubbe, A. Binley, and J. Khazanehdari, A comparison of cross-hole electrical and seismic data in fractured rock, Geophys. Prospect, vol.52, issue.2, pp.109-121, 2004.

J. V. Herwanger, C. C. Pain, A. Binley, C. R. De-oliveira, and M. H. Worthington, Anisotropic resistivity tomography, Geophys. J. Int, vol.158, issue.2, pp.409-425, 2004.

S. Jinsong, S. Benyu, and G. Naichuan, Anisotropic characteristics of electrical responses of fractured reservoir with multiple sets of fractures, Pet. Sci, vol.6, issue.2, pp.127-138, 2009.

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, Int. J. Solids Struct, vol.40, pp.3647-3679, 2003.

L. M. Keller, On the representative elementary volumes of clay rocks at the mesoscale, J. Geol. Min. Res, vol.7, issue.6, pp.58-64, 2015.

C. Klimczak, R. A. Schultz, R. Parashar, and D. M. Reeves, Cubic law with aperture-length correlation: implications for network scale fluid flow, Hydrogeol. J, vol.18, issue.4, pp.851-862, 2010.

O. Kolditz and C. Clauser, Numerical simulation of flow and heat transfer in fractured crystalline rocks: application to the hot dry rock site in Rosemanowes (UK), Geothermics, issue.1, pp.1-23, 1998.

J. Lane, F. Haeni, and W. Watson, Use of a square-array direct-current resistivity method to detect fractures in crystalline bedrock in New Hampshire, vol.33, pp.476-485, 1995.

C. Lantuejoul, Ergodicity and integral range, J. Microsc, vol.161, issue.3, pp.387-403, 1991.

P. Lapcevic, K. S. Novakowski, and E. Sudicky, Groundwater Flow and Solute Transport in Fractured Media, 1997.

J. Li, L. Zhang, Y. Wang, and D. Fredlund, Permeability tensor and representative elementary volume of saturated cracked soil, Can. Geotechnical J, vol.46, issue.8, pp.928-942, 2009.

J. Li and L. Zhang, Geometric parameters and REV of a crack network in soil, Comput. Geotech, vol.37, issue.4, pp.466-475, 2010.

Y. Li and K. Spitzer, Finite element resistivity modelling for threedimensional structures with arbitrary anisotropy, Phys. Earth planet. Inter, vol.150, issue.1, pp.15-27, 2005.

J. C. Long, J. S. Remer, C. R. Wilson, and P. A. Witherspoon, Porous media equivalents for networks of discontinuous fractures, Water Resour. Res, vol.18, issue.3, pp.645-658, 1982.

J. Maillot, P. Davy, R. Le-goc, C. Darcel, and J. De-dreuzy, Connectivity, permeability, and channeling in randomly distributed and kinematically defined discrete fracture network models, Water Resour. Res, vol.52, issue.11, pp.8526-8545, 2016.
URL : https://hal.archives-ouvertes.fr/insu-01381214

F. Manna, K. M. Walton, J. A. Cherry, and B. L. Parker, Mechanisms of recharge in a fractured porous rock aquifer in a semi-arid region, J. Hydrol, vol.555, pp.869-880, 2017.

L. Marescot, R. Monnet, and D. Chapellier, Resistivity and induced polarization surveys for slope instability studies in the Swiss Alps, Eng. Geol, vol.98, issue.1-2, pp.18-28, 2008.

G. Matheron, The Theory of Regionalized Variables and Its Applications, 1971.

K. Min, L. Jing, and O. Stephansson, Determining the equivalent permeability tensor for fractured rock masses using a stochastic REV approach: method and application to the field data from Sellafield, Hydrogeol. J, vol.12, issue.5, pp.497-510, 2004.

, Characterization, Modeling, Monitoring, and Remediation of Fractured Rock, National Academies of Sciences, Engineering, and Medicine, NAP, 2015.

S. Neuman, Trends, prospects and challenges in quantifying flow and transport through fractured rocks, Hydrogeol. J, vol.13, issue.1, pp.124-147, 2005.

S. P. Neuman, Multiscale relationships between fracture length, aperture, density and permeability, Geophys. Res. Lett, vol.35, issue.22, 2008.

J. E. Olson, Sublinear scaling of fracture aperture versus length: an exception or the rule?, J. geophys. Res, vol.108, issue.B9, 2003.

C. C. Pain, J. V. Herwanger, J. H. Saunders, M. H. Worthington, and C. R. De-oliveira, Anisotropic resistivity inversion, Inverse Probl, vol.19, issue.5, p.1081, 2003.

A. Pidlisecky and R. Knight, FW2 5D: A MATLAB 2.5-D electrical resistivity modeling code, Comput. Geosci, vol.34, issue.12, pp.1645-1654, 2008.

J. L. Porsani, V. R. Elis, and F. Y. Hiodo, Geophysical investigations for the characterization of fractured rock aquifers in Itu, SE Brazil, J. appl. Geophys, vol.57, issue.2, pp.119-128, 2005.

S. Pytharouli, R. Lunn, Z. Shipton, J. Kirkpatrick, and A. Do-nascimento, Microseismicity illuminates open fractures in the shallow crust, Geophys. Res. Lett, vol.38, issue.2, 2011.

C. Renshaw and J. Park, Effect of mechanical interactions on the scaling of fracture length and aperture, Nature, vol.386, issue.6624, pp.482-484, 1997.

R. W. Ritzi and R. H. Andolsek, Relation between anisotropic transmissivity and azimuthal resistivity surveys in shallow, fractured, carbonate flow systems, Groundwater, vol.30, issue.5, pp.774-780, 1992.

T. Robert, A. Dassargues, S. Brouyère, O. Kaufmann, V. Hallet et al., Assessing the contribution of electrical resistivity tomography (ERT) and self-potential (SP) methods for a water well drilling program in fractured/karstified limestones, J. appl. Geophys, vol.75, issue.1, pp.42-53, 2011.

T. Robert, D. Caterina, J. Deceuster, O. Kaufmann, and F. Nguyen, A salt tracer test monitored with surface ERT to detect preferential flow and transport paths in fractured/karstified limestones, Geophysics, vol.77, issue.2, pp.55-67, 2012.

B. E. Rotter, D. A. Barry, J. I. Gerhard, and J. S. Small, Modeling U(VI) biomineralization in single-and dual-porosity porous media, Water Resour, Res, vol.44, issue.8, 2008.

D. Roubinet and J. Irving, Discrete-dual-porosity model for electric current flow in fractured rock, J. geophys. Res, vol.119, issue.2, pp.767-786, 2014.

D. Roubinet, N. Linde, D. Jougnot, and J. Irving, Streaming potential modeling in fractured rock: insights into the identification of hydraulically active fractures, Geophys. Res. Lett, vol.43, issue.10, pp.4937-4944, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01321314

C. Rücker, T. Günther, and K. Spitzer, Three-dimensional modelling and inversion of DC resistivity data incorporating topography -I. Modelling, Geophys. J. Int, vol.166, pp.495-505, 2006.

M. Schmutz, A. Ghorbani, P. Vaudelet, and A. Revil, Spectral induced polarization detects cracks and distinguishes between open-and clayfilled fractures, J. Environ. Eng. Geophys, vol.16, issue.2, pp.85-91, 2011.
URL : https://hal.archives-ouvertes.fr/insu-00681691

J. H. Schön, Physical Properties of Rocks: Fundamentals and Principles of Petrophysics, vol.65, 2015.

S. Sharma and V. Baranwal, Delineation of groundwater-bearing fracture zones in a hard rock area integrating very low frequency electromagnetic and resistivity data, J. appl. Geophys, vol.57, issue.2, pp.155-166, 2005.

B. B. Singhal and R. P. Gupta, Applied Hydrogeology of Fractured Rocks, 2010.

D. Skinner and G. Heinson, A comparison of electrical and electromagnetic methods for the detection of hydraulic pathways in a fractured rock aquifer, Hydrogeol. J, vol.12, issue.5, pp.576-590, 2004.

L. Skjernaa and N. O. Jørgensen, Evaluation of local fracture systems by azimuthal resistivity surveys: examples from South Norway, Appl. Hydrogeol, vol.2, issue.2, pp.19-25, 1994.

D. T. Snow, Anisotropic permeability of fractured media, Water Resour. Res, vol.5, issue.6, pp.1273-1289, 1969.

C. Steelman, B. Parker, and C. Kennedy, Evaluating local-scale anisotropy and heterogeneity along a fractured sedimentary bedrock river using EM azimuthal resistivity and ground-penetrating radar, J. appl. Geophys, vol.116, pp.156-166, 2015.

B. Steinich and L. E. Marin, Hydrogeological investigations in northwestern Yucatan, Mexico, using resistivity surveys, vol.34, pp.640-646, 1996.

R. W. Taylor and A. H. Fleming, Characterizing jointed systems by azimuthal resistivity surveys, vol.26, pp.464-474, 1988.

W. M. Telford, L. P. Geldart, and R. E. Sheriff, Applied Geophysics, 1990.

G. P. Tsoflias, T. Halihan, and J. M. Sharp, Monitoring pumping test response in a fractured aquifer using ground-penetrating radar, Water Resour. Res, vol.37, issue.5, pp.1221-1229, 2001.

C. D. Van-siclen, Equivalent channel network model for permeability and electrical conductivity of fracture networks, J. geophys. Res, vol.107, issue.B6, 2002.

J. M. Vermilye and C. H. Scholz, Relation between vein length and aperture, J. Struct. Geol, vol.17, issue.3, pp.423-434, 1995.

M. Wang and P. Kulatilake, Understanding of hydraulic properties from configurations of stochastically distributed fracture networks, Hydrol. Process, vol.22, issue.8, pp.1125-1135, 2008.

F. Willot and D. Jeulin, Elastic and electrical behavior of some random multiscale highly-contrasted composites, Int. J. Multiscale Comput. Eng, vol.9, issue.3, pp.305-326, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00553376

D. N. Wishart, L. D. Slater, and A. E. Gates, Fracture anisotropy characterization in crystalline bedrock using field-scale azimuthal self potential gradient, J. Hydrol, vol.358, issue.1, pp.35-45, 2008.

G. Yadav and S. K. Singh, Integrated resistivity surveys for delineation of fractures for ground water exploration in hard rock areas, J. appl. Geophys, vol.62, issue.3, pp.301-312, 2007.

A. Yeboah-forson and D. Whitman, Electrical resistivity characterization of anisotropy in the Biscayne Aquifer, vol.52, pp.728-736, 2014.

J. Zhao, T. Al, S. W. Chapman, B. L. Parker, K. R. Mishkin et al., Determination of Cr(III) solids formed by reduction of Cr(VI) in a contaminated fractured bedrock aquifer: Evidence for natural attenuation of Cr(VI), Chem. Geol, vol.474, pp.1-8, 2017.