L. André, M. Azaroual, and A. Menjoz, Numerical simulations of the thermal impact of supercritical CO 2 injection on chemical reactivity in a carbonate saline reservoir, Transport in Porous Media, pp.247-274, 2010.

M. Arnst, D. Clouteau, H. Chebli, R. Othman, and G. Degrande, A nonparametric probabilistic model for ground-borne vibrations in buildings, Probabilistic Engineering Mechanics, pp.18-34, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00018949

M. Arnst, D. Clouteau, and M. Bonnet, Inversion of probabilistic structural models using measured transfer functions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.589-608, 2008.
DOI : 10.1016/j.cma.2007.08.011

S. K. Au and J. L. Beck, Important sampling in high dimensions, Structural Safety, pp.139-163, 2003.

V. Barlet-gouédard, B. Rimmelég, and O. Porcherie, Well technologies for CO 2 geological storage: CO 2 -resistant cement, Oil and Gas Science and Technology, pp.325-334, 2007.

A. Batou, C. Soize, and M. Corus, Experimental identification of an uncertain computational dynamical model representing a family of structures, Computers & Structures, vol.89, issue.13-14, pp.13-141440, 2011.
DOI : 10.1016/j.compstruc.2011.03.004
URL : https://hal.archives-ouvertes.fr/hal-00684292

J. Bear and A. Verruijt, Modeling Groundwater Flow and Pollution, 1987.
DOI : 10.1007/978-94-009-3379-8

J. Bear and Y. Bachmat, Introduction to Modeling of Transport Phenomena in Porous Media, 1990.
DOI : 10.1007/978-94-009-1926-6

D. Breysse and B. Gérard, Modelling of permeability in cement-based materials: Part 1-uncracked medium, Cement and Concrete Research, vol.27, issue.5, pp.761-775, 1997.
DOI : 10.1016/S0008-8846(97)00066-5

B. Cailly, L. Thiez, P. Egermann, P. Audibert, A. Vidal-gilbert et al., : a State-Of-The-Art of Injection Processes and Technologies, Oil & Gas Science and Technology, vol.60, issue.3, pp.517-525, 2005.
DOI : 10.2516/ogst:2005034

H. Chebli and C. Soize, Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems, The Journal of the Acoustical Society of America, vol.115, issue.2, pp.697-705, 2004.
DOI : 10.1121/1.1639335
URL : https://hal.archives-ouvertes.fr/hal-00686209

S. Flugge, Principles of Classical Mechanics and Field Theory, 1960.

I. Gaus, Role and impact of CO2???rock interactions during CO2 storage in sedimentary rocks, International Journal of Greenhouse Gas Control, vol.4, issue.1, pp.73-89, 2010.
DOI : 10.1016/j.ijggc.2009.09.015

R. Ghanem and P. D. Spanos, Stochastic Finite Elements : A Spectral Approach, 1991.
DOI : 10.1007/978-1-4612-3094-6

R. Helmig, Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems, 1997.
DOI : 10.1007/978-3-642-60763-9

E. Houdu, O. Poupard, and V. Meyer, Supercritical CO 2 leakage modelling for well integrity in geological storage project, proceedings of the, International COMSOL Conference, 2008.

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957.
DOI : 10.1103/PhysRev.106.620

S. Kamali, Comportement et simulation des matériaux cimentaires en environnements agressifs : lixiviation et température, 2003.

S. Kamali, B. Gérard, and M. Moranville, Modelling the leaching kinetics of cement-based materials??????influence of materials and environment, Cement and Concrete Composites, vol.25, issue.4-5, pp.451-458, 2003.
DOI : 10.1016/S0958-9465(02)00085-9

L. Guen, Y. Meyer, V. Poupard, O. Houdu, E. Chammas et al., A risk-based approach for well integrity management over long term in a CO2 geological storage project, SPE Asia Pacific Oil and Gas Conference and Exhibition -SPE paper, pp.978-979, 2009.

M. L. Mehta, Random Matrices, Revised and Enlarged Second Edition, 1991.

J. M. Nordboiten, D. Kavetski, M. A. Celia, and S. Bachu, Leakage Including Multiple Geological Layers and Multiple Leaky Wells, Environmental Science & Technology, vol.43, issue.3, pp.743-749, 2009.
DOI : 10.1021/es801135v

H. J. Pradlwarter and G. I. Schueller, On advanced Monte Carlo simulation procedures in stochastic structural dynamics, International Journal of Non-Linear Mechanics, vol.32, issue.4, pp.735-744, 1997.
DOI : 10.1016/S0020-7462(96)00091-1

R. Y. Rubinstein and D. P. Kroese, Simulation and the Monte Carlo Method, 2008.

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

G. I. Schueller, Efficient Monte Carlo simulation procedures in structural uncertainty and reliability analysis -recent advances, Structural Engineering and Mechanics, pp.1-20, 2009.

C. E. Shannon, A mathematical theory of communication , Bell System Tech, J, vol.27, pp.379-423, 1948.

M. G. Schaap and F. J. Leij, Improved Prediction of Unsaturated Hydraulic Conductivity with the Mualem-van Genuchten Model, Soil Science Society of America Journal, vol.64, issue.3, pp.843-851, 2000.
DOI : 10.2136/sssaj2000.643843x

J. Shi, S. Durucan, and M. Fujioka, A reservoir simulation study of CO2 injection and N2 flooding at the Ishikari coalfield CO2 storage pilot project, Japan, International Journal of Greenhouse Gas Control, vol.2, issue.1, pp.47-57, 2008.
DOI : 10.1016/S1750-5836(07)00112-0

C. Soize, A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000.
DOI : 10.1016/S0266-8920(99)00028-4
URL : https://hal.archives-ouvertes.fr/hal-00686293

C. Soize, Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-161333, 2005.
DOI : 10.1016/j.cma.2004.06.038
URL : https://hal.archives-ouvertes.fr/hal-00686187

C. Soize, Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices, International Journal for Numerical Methods in Engineering, vol.195, issue.4, pp.76-1583, 2008.
DOI : 10.1002/nme.2385
URL : https://hal.archives-ouvertes.fr/hal-00684517

C. Soize, E. Capiez-lernout, J. Durand, C. Fernandez, and L. Gagliardini, Probabilistic model identification of uncertainties in computational models for dynamical systems and experimental validation, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.1, pp.150-163, 2008.
DOI : 10.1016/j.cma.2008.04.007
URL : https://hal.archives-ouvertes.fr/hal-00686138

C. Soize, Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions, International Journal for Numerical Methods in Engineering, vol.80, issue.21-26, pp.939-970, 2010.
DOI : 10.1002/nme.2712
URL : https://hal.archives-ouvertes.fr/hal-00684322

C. Soize, Stochastic Models of Uncertainties in Computational Mechanics, Lecture Notes in Mechanics, Engineering Mechanics Institute (EMI) of the, 2012.

J. C. Spall, Introduction to Stochastic Search and Optimization, 2003.
DOI : 10.1002/0471722138

W. Tanikawa and T. Shimamoto, Klinkenberg effect for gas permeability and its comparison to water permeability for porous sedimentary rocks, Hydrology and Earth System Sciences Discussions, vol.3, issue.4, pp.1315-133810, 2006.
DOI : 10.5194/hessd-3-1315-2006
URL : https://hal.archives-ouvertes.fr/hal-00298724

A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, 2005.
DOI : 10.1137/1.9780898717921

=. Min, =1 ,? =0 . 4 degradation factor Min = 1, Max = 10, µ = 5.33, ? =1 . 8 4 generalized corrosion [mm/year] Min = 1, =3, ? =0 . 8 2 pitting corrosion