B. Thompson, . Fink, J. Wa-kuperman, . Montagner, and . Tourin, Elastic-wave propagation in random polycrystals: fundamentals and application to nondestructive evaluation In Imaging of complex media with acoustic and seismic waves, pp.233-257, 2002.

M. Markham, Correlation between the elastic constants of polycrystalline aggregates and single crystals, Appl. Mat. Res, vol.1, pp.107-114, 1962.

T. Middya, M. Paul, and A. Basu, Elastic properties of a computer???simulated polycrystalline aggregate of a single component, Journal of Applied Physics, vol.57, issue.6, pp.1844-1848, 1985.
DOI : 10.1063/1.334413

L. Gold, Evaluation of the Stiffness Coefficients for Beryllium from Ultrasonic Measurements in Polycrystalline and Single Crystal Specimens, Physical Review, vol.77, issue.3, pp.390-395, 1950.
DOI : 10.1103/PhysRev.77.390

S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Applied Mechanics Reviews, vol.55, issue.4, 2002.
DOI : 10.1115/1.1483342

K. Jr, F. Keller, and J. , 1964 Elastic, electromagnetic and other waves in random medium, J. Math. Phys, vol.5, pp.537-547

J. Keller, Stochastic equations and wave propagation in random media, Proc. 16th Symp. on Applied Mathematics, pp.145-179, 1963.
DOI : 10.1090/psapm/016/0178638

F. Stanke and G. Kino, A unified theory for elastic wave propagation in polycrystalline materials, The Journal of the Acoustical Society of America, vol.75, issue.3, pp.665-681
DOI : 10.1121/1.390577

J. Keller, Accuracy and Validity of the Born and Rytov Approximations*, Journal of the Optical Society of America, vol.59, issue.8, pp.1003-1004, 1969.
DOI : 10.1364/JOSA.59.001003

J. Gubernatis, E. Domany, J. Krumhansl, and M. Huberman, The Born approximation in the theory of the scattering of elastic waves by flaws, Journal of Applied Physics, vol.48, issue.7, pp.2812-2819
DOI : 10.1063/1.324142

S. Ahmed and R. Thompson, Propagation of elastic waves in equiaxed stainless???steel polycrystals with aligned [001] axes, The Journal of the Acoustical Society of America, vol.99, issue.4, pp.2086-2096, 1996.
DOI : 10.1121/1.415395

J. Turner, Elastic wave propagation and scattering in heterogeneous, anisotropic media: Textured polycrystalline materials, The Journal of the Acoustical Society of America, vol.106, issue.2, pp.541-552, 1999.
DOI : 10.1121/1.427024

J. Turner and P. Anugonda, Scattering of elastic waves in heterogeneous media with local isotropy, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1787-1795, 2007.
DOI : 10.1121/1.1367245

A. Maurel, V. Pagneux, D. Boyer, and F. Lund, Propagation of elastic waves through polycrystals: the effects of scattering from dislocation arrays, Proc. R. Soc. A 462, pp.2607-2623, 2006.
DOI : 10.1098/rspa.2006.1696

A. Maurel, V. Pagneux, F. Barra, and F. Lund, Multiple scattering from assemblies of dislocation walls in three dimensions. Application to propagation in polycrystals, The Journal of the Acoustical Society of America, vol.121, issue.6, pp.3418-3431, 2007.
DOI : 10.1121/1.2734488

R. Alley, Fabrics in Polar Ice Sheets: Development and Prediction, Science, vol.240, issue.4851, pp.493-495, 1988.
DOI : 10.1126/science.240.4851.493

M. Montagnat, D. Buiron, L. Arnaud, A. Broquet, P. Schlitz et al., 2012 Measurements and numerical simulation of fabric evolution along the Talos Dome ice core, Antarctica. Earth Planet. Sci. Lett, vol.357, pp.168-178

H. Seddik, R. Greve, L. Placidi, I. Hamman, and O. Gagliardini, Application of a continuum-mechanical model for the flow of anisotropic polar ice to the EDML core, Antarctica, Journal of Glaciology, vol.54, issue.187, pp.631-642, 1989.
DOI : 10.3189/002214308786570755

V. Lipenkov, N. Barkov, P. Dural, and P. Pimenta, Abstract, Journal of Glaciology, vol.5, issue.121, pp.392-398, 1989.
DOI : 10.1126/science.240.4851.493

H. Bennett, An investigation into velocity anisotropy through measurements of ultrasonic wave velocities in snow and ice cores from Green-land and Antarctica, 1968.

T. Thorsteinsson, Textures and fabrics in bottom silty ice from the Dye 3 ice core, 1990.

C. Bentley, Seismic-wave velocities in anisotropic ice: A comparison of measured and calculated values in and around the deep drill hole at Byrd Station, Antarctica, Journal of Geophysical Research, vol.86, issue.23, pp.4406-4420, 1972.
DOI : 10.1029/JB077i023p04406

A. Gusmeroli, E. Pettit, J. Kennedy, and C. Ritz, 2012 The crystal fabric of ice from full-waveform borehole sonic logging, J. Geophys. Res. Earth Surface, vol.117, p.3021

R. Staroszczyk and O. Gagliardini, Abstract, Journal of Glaciology, vol.23, issue.151, pp.485-494, 1999.
DOI : 10.1029/97JC00161

F. Gillet-chaulet, O. Gagliardini, J. Meyssonnier, M. Montagnat, and O. Castelnau, A user-friendly anisotropic flow law for ice-sheet modelling, Journal of Glaciology, vol.51, issue.172, pp.3-14
DOI : 10.3189/172756505781829584

URL : https://hal.archives-ouvertes.fr/insu-00374360

O. Gagliardini, F. Gillet-chaulet, and M. Montagnat, 2009 A review of anisotropic polar ice models: from crystal to ice-sheet flow models, Low Temp. Sci, vol.68, pp.149-166

A. Diez and O. Eisen, 2014 Seismic wave propagation in anisotropic ice. 1. Elasticity tensor and derived quantities from ice-core properties. Cryosphere Discuss, pp.4349-4395

M. Montagnat, Fabric along the NEEM ice core, Greenland, and its comparison with GRIP and NGRIP ice cores, The Cryosphere, vol.8, issue.4, pp.1129-1138
DOI : 10.5194/tc-8-1129-2014

D. Mainprice, R. Hielscher, and H. Schaeben, Calculating anisotropic physical properties from texture data using the MTEX open-source package, Geological Society, London, Special Publications, vol.360, issue.1, pp.175-192
DOI : 10.1144/SP360.10

URL : https://hal.archives-ouvertes.fr/hal-00688833

B. Auld, Acoustic field and waves in solid, 1990.

S. Nanthikesan, S. Sunder, and S. , Anisotropic elasticity of polycrystalline ice, Cold Regions Science and Technology, vol.22, issue.2, pp.149-169, 1994.
DOI : 10.1016/0165-232X(94)90026-4

P. Daley and F. Hron, Reflection and transmission coefficients for transversely isotropic media, Seis. Soc. Am, vol.67, pp.661-675, 1977.

G. Thomsen, Weak elastic anisotropy, GEOPHYSICS, vol.51, issue.10, 1954.
DOI : 10.1190/1.1442051

S. Anandakrishnan, J. Fitzpatrick, and R. Alley, Abstract, Journal of Glaciology, vol.361, issue.136, pp.491-496, 1994.
DOI : 10.1016/0165-2125(81)90026-3

A. Gow, D. Meese, R. Alley, J. Fitzpatrick, S. Anandakrishnan et al., Physical and structural properties of the Greenland Ice Sheet Project 2 ice core: A review, Journal of Geophysical Research: Oceans, vol.125, issue.C12, pp.559-585, 1997.
DOI : 10.1029/97JC00165

S. Herron, C. Langway, and K. Brugger, Ultrasonic velocities and crystalline anisotropy in the ice core from Dye 3, Greenland. Greenland Ice Core Geophys, Geochem. Environ, vol.33, pp.23-31, 1985.

L. Jr, C. Shoji, H. Azuma, and N. , Crystal size and orientation patterns in the Wisconsin-age ice from Dye 3, Ann. Glaciol, vol.10, pp.109-115, 1988.

I. Tsvankin, ???wave velocity for orthorhombic media, GEOPHYSICS, vol.62, issue.4, pp.1292-1309, 1997.
DOI : 10.1190/1.1444231

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.64.908

O. Gagliardini and J. Meyssonnier, Analytical derivations for the behavior and fabric evolution of a linear orthotropic ice polycrystal, Journal of Geophysical Research: Solid Earth, vol.41, issue.7, pp.797-814, 1999.
DOI : 10.1029/1999JB900146