G. E. Archie, The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics, Transactions of the AIME, vol.146, issue.01, pp.54-62, 1942.
DOI : 10.2118/942054-G

K. R. Backe, O. B. Lile, and S. K. Lyomov, Characterizing Curing Cement Slurries by Electrical Conductivity, SPE Drilling & Completion, vol.16, issue.04, pp.201-207, 2001.
DOI : 10.2118/74694-PA

E. Barbier, Geothermal energy technology and current status: an overview, Renewable and Sustainable Energy Reviews, vol.6, issue.1-2, pp.3-65, 2002.
DOI : 10.1016/S1364-0321(02)00002-3

S. Nguyen, On the effective transport properties of heterogeneous materials, International Journal of Engineering Science, vol.104, pp.75-86, 2016.
DOI : 10.1016/j.ijengsci.2016.04.001

URL : https://hal.archives-ouvertes.fr/hal-01329357

O. Bernard, F. J. Ulm, and E. Lemarchand, A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials, Cement and Concrete Research, vol.33, issue.9, pp.1293-1309, 2003.
DOI : 10.1016/S0008-8846(03)00039-5

URL : https://hal.archives-ouvertes.fr/hal-00139284

D. A. Bruggeman, Dielectric constant and conductivity of mixtures of isotropic materials, Annalen der Physik, vol.24, pp.636-679, 1935.

P. P. Castañeda and J. R. Willis, The effect of spatial distribution on the effective behavior of composite materials and cracked media, Journal of the Mechanics and Physics of Solids, vol.43, issue.12, pp.43-1919, 1995.
DOI : 10.1016/0022-5096(95)00058-Q

L. Dormieux, D. Kondo, and F. J. Ulm, Microporomechanics, 2006.
DOI : 10.1002/0470032006

B. A. Eaton, The Equation for Geopressure Prediction from Well Logs, Fall Meeting of the Society of Petroleum Engineers of AIME, 1975.
DOI : 10.2118/5544-MS

J. Eshelby, The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.1226, pp.376-396, 1957.
DOI : 10.1098/rspa.1957.0133

A. Giraud, C. Gruescu, D. P. Do, F. Homand, and D. Kondo, Effective thermal conductivity of transversely isotropic media with arbitrary oriented ellipso??dal inhomogeneities, International Journal of Solids and Structures, vol.44, issue.9, pp.2627-2647, 2007.
DOI : 10.1016/j.ijsolstr.2006.08.011

Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials, Journal of the Mechanics and Physics of Solids, vol.11, issue.2, pp.127-140, 1963.
DOI : 10.1016/0022-5096(63)90060-7

R. Hill, A self-consistent mechanics of composite materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.213-222, 1965.
DOI : 10.1016/0022-5096(65)90010-4

H. J. Hill and J. D. Milburn, Effect of clay and water salinity on electrochemical behavior of reservoir rocks, Transactions AIME, vol.207, pp.65-72, 1956.

J. C. Jaeger, Application of the Theory Of Heat Conduction to Geothermal Measurements, Washington DC American Geophysical Union Geophysical Monograph Series, vol.40, pp.7-23, 1965.
DOI : 10.1029/GM008p0007

G. Mavko and A. Nur, The effect of a percolation threshold in the Kozeny???Carman relation, GEOPHYSICS, vol.62, issue.5, pp.62-14801482, 1997.
DOI : 10.1190/1.1444251

G. Maxwell, Colours in metal glasses and metal films, Philosophical Transactions of the Royal Society of London, Section A, vol.3, pp.385-420, 1904.

T. Mori and K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973.
DOI : 10.1016/0001-6160(73)90064-3

S. T. Nguyen, Micromechanical approach for electrical resistivity and conductivity of sandstone, Journal of Applied Geophysics, vol.111, pp.135-140, 2014.
DOI : 10.1016/j.jappgeo.2014.10.001

S. T. Nguyen, Generalized Kelvin model for micro-cracked viscoelastic materials, Engineering Fracture Mechanics, vol.127, pp.226-234, 2014.
DOI : 10.1016/j.engfracmech.2014.06.010

S. T. Nguyen, L. Dormieux, L. Pape, Y. Sanahuja, and J. , A Burger Model for the Effective Behavior of a Microcracked Viscoelastic Solid, International Journal of Damage Mechanics, vol.316, issue.8, pp.20-11161129, 2011.
DOI : 10.1177/1056789510395554

S. T. Nguyen, M. H. Vu, and M. N. Vu, Extended analytical approach for electrical anisotropy of geomaterials, Journal of Applied Geophysics, vol.123, pp.211-217, 2015.
DOI : 10.1016/j.jappgeo.2015.10.015

S. T. Nguyen, M. H. Vu, and M. N. Vu, Equivalent porous medium for modeling of the elastic and the sonic properties of sandstones, Journal of Applied Geophysics, vol.120, pp.1-6, 2015.
DOI : 10.1016/j.jappgeo.2015.06.004

T. N. Nguyen, S. T. Nguyen, M. H. Vu, and M. N. Vu, Effective viscoelastic properties of micro-cracked heterogeneous materials, International Journal of Damage Mechanics, vol.25, issue.4, 2015.
DOI : 10.1177/1056789515605557

O. Connell, R. J. Budiansky, and B. , Seismic velocities in dry and saturated cracked solids, Journal of Geophysical Research, vol.2, issue.35, pp.5412-5426, 1974.
DOI : 10.1029/JB079i035p05412

D. C. Pham, Electrical properties of sedimentary rocks having interconnected water-saturated pore spaces, Geophysics, vol.20, issue.654, pp.1093-1097

D. C. Pham and T. K. Nguyen, Polarization approximations for macroscopic conductivity of isotropic multicomponent materials, International Journal of Engineering Science, vol.97, pp.26-39, 2015.
DOI : 10.1016/j.ijengsci.2015.08.006

A. Pouya and M. N. Vu, Fluid flow and effective permeability of an infinite matrix containing disc-shaped cracks, Advances in Water Resources, vol.42, pp.37-46, 2012.
DOI : 10.1016/j.advwatres.2012.03.005

URL : https://hal.archives-ouvertes.fr/hal-00700099

R. Raghavan and L. Y. Chin, Productivity changes in reservoirs with stress-dependent permeability, Proceedings of the SPE annual technical conference and exhibition, 2002.

R. Tixier and B. Mobasher, Modeling of Damage in Cement-Based Materials Subjected to External Sulfate Attack. I: Formulation, Journal of Materials in Civil Engineering, vol.15, issue.4, pp.305-313, 2003.
DOI : 10.1061/(ASCE)0899-1561(2003)15:4(305)

F. J. Ulm, G. Constantinides, and F. H. Heukamp, Is concrete a poromechanics materials? ? A multiscale investigation of poroelastic properties, Materials and Structures, vol.37, issue.1, pp.43-58, 2004.

V. Vignal, J. Favergeon, and R. Oltra, Finite-element method for the determination of the surface stress field from the real microstructure of anisotropic materials, Philosophical Magazine Letters, vol.27, issue.9, pp.503-510, 2002.
DOI : 10.1016/S1359-6462(99)00248-1

M. N. Vu, S. T. Nguyen, M. H. Vu, A. M. Tang, and V. T. To, Heat conduction and thermal conductivity of 3D cracked media, International Journal of Heat and Mass Transfer, vol.89, pp.1119-1126, 2015.
DOI : 10.1016/j.ijheatmasstransfer.2015.05.113

URL : https://hal.archives-ouvertes.fr/hal-01271134

M. H. Waxman and L. J. Smits, Electrical Conductivities in Oil-Bearing Shaly Sands, Society of Petroleum Engineers Journal, vol.8, issue.02, pp.107-122, 1968.
DOI : 10.2118/1863-A