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.527-540, 1995.
DOI : 10.2118/426-PA

T. Arbogast, Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory, SIAM Journal on Mathematical Analysis, vol.21, issue.4, pp.823-836, 1990.
DOI : 10.1137/0521046

G. Barenblatt, I. Zheltov, and I. Kochina, Basic concepts in the theory of seepage of 981 homogeneous liquids in fissured rocks, J. Appl. Math, vol.24, pp.1286-1303, 1960.

B. Bourbiaux, M. Cacas, S. Sarda, and J. Sabathier, A fast and efficient methodology to 984 convert fractured reservoir images into a dual-porosity model, 1997.

B. Bourbiaux, A. Fourno, and P. Delaplace, Method of modelling a porous geological 987 environment through which a network of fractures run, p.9098366, 2006.

B. Bourbiaux, Fractured Reservoir Simulation: a Challenging and Rewarding Issue, Oil & Gas Science and Technology ??? Revue de l???Institut Fran??ais du P??trole, vol.11, issue.3, p.990, 2010.
DOI : 10.2118/90231-PA
URL : http://ogst.ifpenergiesnouvelles.fr/articles/ogst/pdf/2010/02/ogst08102.pdf

R. H. Brooks and A. T. Corey, Hydraulic properties of porous media: Hydrology papers, p.993, 1964.

D. Dreuzy, J. R. Rapaport, A. Babey, T. Harmand, and J. , Influence of porosity 999 structures on mixing-induced reactivity at chemical equilibrium in mobile, p.1000, 2013.

A. Fourno, C. Grenier, H. Benabderrahmane, and F. Delay, A continuum voxel approach to model flow in 3D fault networks: A new way to obtain up-scaled hydraulic conductivity tensors of grid cells, Journal of Hydrology, vol.493, pp.68-80, 2013.
DOI : 10.1016/j.jhydrol.2013.04.010

X. Jourdain, J. B. Colliat, C. De-sa, F. Benboudjema, and F. Gatuingt, Upscaling permeability for fractured concrete: meso-macro numerical approach coupled to strong discontinuities, International Journal for Numerical and Analytical Methods in Geomechanics, vol.90, issue.91, pp.536-550, 2014.
DOI : 10.1007/978-1-4612-3172-1
URL : https://hal.archives-ouvertes.fr/hal-01006624

M. Karimi-fard, B. Gong, and L. J. Durlofsky, Generation of coarse-scale continuous flow 1016 models from detailed fracture characterization, Water Resour. Res, vol.42, p.10423, 2006.

P. Landereau, B. Noetinger, and M. Quintard, Quasi-steady two-equation models for 1022, 2001.

P. Lemonnier and B. Bourbiaux, Simulation of Naturally Fractured Reservoirs. State of the Art, Oil & Gas Science and Technology ??? Revue de l???Institut Fran??ais du P??trole, vol.3, issue.3, pp.239-1027, 2010.
DOI : 10.2118/426-PA

P. Lemonnier and B. Bourbiaux, Simulation of naturally fractured reservoirs. State of the 1030 art Matrix-fracture transfers and typical features of numerical studies, Oil Gas Sci, vol.2, 1031.

K. T. Lim and K. Aziz, Matrix-fracture transfer shape factors for dual-porosity simulators, Journal of Petroleum Science and Engineering, vol.13, issue.3-4, 1034.
DOI : 10.1016/0920-4105(95)00010-F

J. C. Long, J. S. Remer, C. R. Wilson, and P. A. Witherspoon, Porous media equivalents for networks of discontinuous fractures, Water Resources Research, vol.16, issue.6, pp.645-658, 1982.
DOI : 10.1029/WR016i006p01016

S. K. Matthai and H. M. Nick, Upscaling two-phase flow in naturally fractured reservoirs, AAPG Bulletin, vol.93, issue.11, 1040.
DOI : 10.1306/08030909085

S. P. Neuman, A proposed conceptual framework and methodology for investigating 1046 flow and transport in Swedish crystalline rock. SKB Swedish Nuclear Fuel and Waste 1047, 1988.

B. Noetinger and T. Estébenet, Up-scaling double porosity fractured media using 1050 contineous-time random walks method, Transport in Porous Media, vol.39, issue.3, pp.315-337, 2000.
DOI : 10.1023/A:1006639025910

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

M. Oda, Permeability tensor for discontinuous rock masses, G??otechnique, vol.35, issue.4, pp.483-1060, 1985.
DOI : 10.1680/geot.1985.35.4.483

C. M. Park and G. M. Homsy, Two-phase displacement in Hele Shaw cells: theory, Journal of Fluid Mechanics, vol.17, issue.-1, p.1063, 1984.
DOI : 10.1063/1.1698529

K. Pruess and T. N. Narasimhan, A practical method for modeling fluid and heat flow in 1066 fractured porous media 1067 approximation, SPE J. Water Resour. Res, vol.25, issue.266, pp.14-26, 1985.

M. Quintard and S. Whitaker, One- and Two-Equation Models for Transient Diffusion Processes in Two-Phase Systems, Adv. Heat Transf, vol.23, pp.369-465, 1993.
DOI : 10.1016/S0065-2717(08)70009-1

M. Quintard and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media. I: Theoretical development of region-averaged equations for slightly compressible single-phase flow, Advances in Water Resources, vol.19, issue.1, pp.29-60, 1996.
DOI : 10.1016/0309-1708(95)00023-C

L. K. Thomas, T. N. Dixon, and R. G. Pierson, Fractured Reservoir Simulation, Society of Petroleum Engineers Journal, vol.23, issue.01, pp.42-54, 1983.
DOI : 10.2118/9305-PA

Y. Ueda, S. Murata, Y. Watanabe, and K. Funats, Investigation of the shape factor used 1086 in the dual-porosity reservoir simulator, 1989.

E. Unsal, S. K. Matthäi, and M. J. Blunt, Simulation of multiphase flow in fractured reservoirs using a fracture-only model with transfer functions, Computational Geosciences, vol.29, issue.7, pp.527-538, 2010.
DOI : 10.2118/426-PA