I. Babu?ka and P. Chatzipantelidis, On solving elliptic stochastic partial differential equations, Comput. Methods Appl. Mech. Engrg, vol.191, issue.37, pp.4093-4122, 2002.

I. Babu?ka, F. Nobile, and R. Tempone, A stochastic collocation method for elliptic partial differential equations with random input data, SIAM J. Numer. Anal, vol.45, issue.3, pp.1005-1034, 2007.

S. Barry and G. Mercer, Exact solution for two-dimensional time dependent flow and deformation within a poroelastic medium, J. Appl. Mech, vol.66, issue.2, pp.536-540, 1999.

E. Bemer, M. Boutéca, O. Vincké, N. Hoteit, and O. Ozanam, Poromechanics: From linear to nonlinear poroelasticity and poroviscoelasticity. Oil & Gas Science and Technologies-Rev, IFP, vol.56, issue.6, pp.531-544, 2001.
URL : https://hal.archives-ouvertes.fr/hal-02053960

A. Bespalov, C. E. Powell, and D. Silvester, A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data, SIAM J. Numer. Anal, vol.50, issue.4, pp.2039-2063, 2012.

M. A. Biot, General theory of threedimensional consolidation, J. Appl. Phys, vol.12, issue.2, pp.155-164, 1941.
URL : https://hal.archives-ouvertes.fr/hal-01368635

M. A. Biot, Nonlinear and semilinear rheology of porous solids, J. Geoph. Res, vol.78, issue.23, pp.4924-4937, 1973.
URL : https://hal.archives-ouvertes.fr/hal-01368469

D. Boffi, M. Botti, and D. A. Di-pietro, A nonconforming high-order method for the Biot problem on general meshes, SIAM J. Sci. Comput, vol.38, issue.3, pp.1508-1537, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01162976

M. Botti, Advanced polyhedral discretization methods for poromechanical modelling, 2018.
URL : https://hal.archives-ouvertes.fr/tel-01871074

M. Botti, D. A. Di-pietro, and P. Sochala, A Hybrid High-Order method for nonlinear elasticity, SIAM J. Numer. Anal, vol.55, issue.6, pp.2687-2717, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01539510

M. Botti, D. A. Di-pietro, and P. Sochala, Analysis of a Hybrid High-Order-discontinuous Galerkin discretization method for nonlinear poroelasticity, 2018.

R. H. Cameron and W. T. Martin, The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals, Ann. Math, vol.48, pp.385-392, 1947.

C. S. Chang, Uncertainty in one-dimensional consolidation analysis, J. Geothec. Eng, vol.111, issue.12, pp.1411-1424, 1985.

J. Charrier, Strong and weak error estimates for elliptic partial differential equations with random coefficients, SIAM J. Numer. Anal, vol.50, issue.1, pp.216-246, 2012.
URL : https://hal.archives-ouvertes.fr/inria-00490045

P. R. Conrad and Y. M. Marzouk, Adaptive Smolyak pseudospectral approximations, SIAM J. Sci. Comp, vol.35, issue.6, pp.2643-2670, 2013.

P. G. Constantine, M. S. Eldred, and E. T. Phipps, Sparse pseudospectral approximation method, Comput. Methods Appl. Mech. Engrg, vol.229, pp.1-12, 2012.

P. Cosenza, M. Ghoreychi, G. De-marsily, G. Vasseur, and S. Violette, Theoretical prediction of poroelastic properties of argillaceous rocks from in situ specific storage coefficient, Water Resour. Res, vol.38, issue.10, p.1207, 2002.
URL : https://hal.archives-ouvertes.fr/ineris-00961868

O. Coussy, Poromechanics. J. Wiley and Sons, ltd, 2004.

T. Crestaux, O. L. Maître, and J. Martinez, Polynomial chaos expansion for sensitivity analysis, Reliability Engineering & System Safety, vol.94, issue.7, pp.1161-1172, 2009.

A. A. Darrag and M. Tawil, The consolidation of soils under stochastic initial excess pore pressure, Applied Mathematical Modelling, vol.17, issue.11, pp.609-612, 1993.

P. Delgado and V. Kumar, A stochastic Galerkin approach to uncertainty quantification in poroelastic media, Applied Mathematics and Computation, vol.266, issue.1, pp.328-338, 2015.

E. Detournay and A. H. Cheng, Fundamentals of poroelasticity, pp.113-171, 1993.

D. A. Di-pietro, J. Droniou, and A. Ern, A Discontinuous-Skeletal method for advection-diffusionreaction on general meshes, SIAM J. Numer. Anal, vol.53, issue.5, pp.2135-2157, 2015.

D. A. Di-pietro and A. Ern, A Hybrid High-Order locking-free method for linear elasticity on general meshes, Comput. Meth. Appl. Mech. Engrg, vol.283, pp.1-21, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00979435

D. A. Di-pietro, A. Ern, and J. Guermond, Discontinuous Galerkin methods for anisotropic semi-definite diffusion with advection, SIAM J. Numer. Anal, vol.46, issue.2, pp.805-831, 2008.

O. G. Ernst, A. Mugler, H. Starkloff, and E. Ullmann, On the convergence of generalized polynomial chaos expansions, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, p.2012

D. G. Frias, M. A. Murad, and F. Pereira, Stochastic computational modelling of highly heterogeneous poroelastic media with long-range correlations, Int. J. Numer. Anal. Meth. Geomech, vol.28, issue.1, pp.1-32, 2004.

F. J. Gaspar, F. J. Lisbona, C. W. Oosterlee, and P. N. Vabishchevich, An efficient multigrid solver for a reformulated version of the poroelasticity system, Comput. Methods Appl. Mech. and Engrg, vol.196, pp.1447-1457, 2007.

F. Gassmann, On elasticity of porous media, Vierteljahresheft der Naturforschenden Gesselschaft, vol.96, pp.1-23, 1951.

T. Gerstner and M. Griebel, Numerical integration using sparse grids, Numerical Algorithms, pp.209-232, 1998.

T. Gerstner and M. Griebel, Dimension-adaptive tensor-product quadrature, Computing, vol.71, issue.1, pp.65-87, 2003.
DOI : 10.1007/s00607-003-0015-5

R. G. Ghanem, Probabilistic characterization of transport in heterogeneous media, Comput. Meth. Appl. Mech. Eng, vol.158, issue.3, pp.199-220, 1998.

R. G. Ghanem and S. Dham, Stochastic finite element analysis for multiphase flow in heterogeneous porous media, Transport in Porous Media, vol.32, issue.3, pp.239-262, 1998.

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

D. H. Green and H. F. Wang, Specific storage as a poroelastic coefficient, Water Resour. Res, vol.26, issue.7, pp.1631-1637, 1990.
DOI : 10.1029/wr026i007p01631

T. D. Hein and M. Kleiber, Stochastic finite element modeling in linear transient heat transfer, Comput. Meth. Appl. Mech. Eng, vol.144, pp.111-124, 1997.

H. P. Hong, One-dimensional consolidation with uncertain properties, Canadian Geotechnical journal, vol.29, pp.161-165, 1991.
DOI : 10.1139/t92-018

L. Hu, P. H. Winterfield, P. Fakcharoenphol, and Y. S. Wu, A novel fully-coupled flow and geomechanics model in enhanced geothermal reservoirs, J. Pet. Sci. Eng, vol.107, pp.1-11, 2013.
DOI : 10.1016/j.petrol.2013.04.005

M. Iskandarani, S. Wang, A. Srinivasan, W. C. Thacker, J. Winokur et al., An overview of uncertainty quantification techniques with application to oceanic and oil-spill simulations, J. Geophys. Res.: Oceans, vol.121, issue.4, pp.2789-2808, 2016.
DOI : 10.1002/2015jc011366
URL : https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1002/2015JC011366

B. Jah and R. Juanes, Coupled multiphase flow and poromechanics: A computational model of pore pressure effects on fault slip and earthquake triggering, Water Resour. Res, vol.50, issue.5, pp.3776-3808, 2014.

A. Khan, C. E. Powell, and D. J. Silvester, Robust preconditioning for stochastic Galerkin formulations of parameter-dependent linear elasticity equations, SIAM J. Sci. Comp, vol.41, issue.1, pp.402-421, 2019.

A. E. Kolesov, P. N. Vabishchevich, and M. V. Vasilyeva, Splitting scheme for poroelasticity and thermoelasticity problems, Comput. and Math. with Appl, vol.67, pp.2185-2198, 2014.
DOI : 10.1007/978-3-319-20239-6_25

O. Le-maître, M. T. Reagan, H. N. Najm, R. G. Ghanem, and O. M. Knio, A stochastic projection method for fluid flow II.: Random process, J. Comput. Phys, vol.181, issue.1, pp.9-44, 2002.

O. P. Le-maître and O. M. Knio, Spectral Methods for Uncertainty Quantification. Scientific Computation, 2010.

H. Liu, B. Hu, and Z. W. Yu, Stochastic finite element method for random temperature inconcrete structures, Int. J. Solids Struct, vol.38, issue.1, pp.6965-6983, 2001.

M. Loéve, Probability theory, vol.2, 1977.

H. G. Matthies and A. Keese, Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations, Comput. Methods Appl. Mech. Engrg, vol.194, pp.1295-1331, 2005.
DOI : 10.1016/j.cma.2004.05.027
URL : https://publikationsserver.tu-braunschweig.de/servlets/MCRFileNodeServlet/dbbs_derivate_00001489/Document.pdf

A. Mehrabian and Y. N. Abousleiman, Gassmann equation and the constitutive relations for multiple-porosity and multiple-permeability poroelasticity with applications to oil and gas shale, Int. J. Numer. Anal. Meth. Geomech, vol.39, pp.1547-1569, 2015.
DOI : 10.1002/nag.2399

S. E. Minkoff, C. M. Stone, S. Bryant, M. Peszynsak, and M. F. Wheeler, Coupled fluid flow and geomechanical deformation modeling, J. Pet. Sci. Eng, vol.38, pp.37-56, 2003.
DOI : 10.1016/s0920-4105(03)00021-4

M. A. Murad and F. D. Loula, On stability and convergence of finite element approximations of Biot's consolidation problem, Interat. J. Numer. Methods Engrg, vol.37, issue.4, 1994.

S. Nishimura, K. Shimada, and H. Fujii, Consolidation inverse analysis considering spacial variability and non-linearity of soil parameters, Soils and Foundations, vol.42, issue.3, pp.45-61, 2002.

P. J. Phillips and M. F. Wheeler, A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case, Comput. Geosci, vol.11, pp.145-158, 2007.

J. R. Rice and M. P. Cleary, Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents, Rev. Geophys, vol.14, issue.2, pp.227-241, 1976.

C. Schwab and R. A. Todor, Karhunen-Loève approximation of random fields by generalized fast multipole methods, J. Comput. Phys, vol.217, issue.1, pp.100-122, 2006.

R. E. Showalter, Diffusion in poro-elastic media, J. Math. Anal. Appl, vol.251, pp.310-340, 2000.

S. A. Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions, Dokl. Akad. Nauk SSSR, vol.4, p.123, 1963.

C. Talischi, G. H. Paulino, A. Pereira, and I. F. Menezes, Polymesher: a general-purpose mesh generator for polygonal elements written in matlab. Structural and Multidisciplinary Optimization, vol.45, pp.309-328, 2012.

K. Terzaghi, Theoretical soil mechanics, 1943.

J. Troyen, O. Le-maître, M. Ndjinga, and A. Ern, Intrusive projection methods with upwinding for uncertain nonlinear hyperbolic systems, J. Comput. Phys, vol.229, issue.18, pp.6485-6511, 2010.

A. ?ení?ek, The existence and uniqueness theorem in Biot's consolidation theory, Aplikace Matematiky, vol.29, pp.194-211, 1984.

H. F. Wang, Theory of linear poroelasticity with applications to geomechanics and hydrogeology, 2000.

N. Wiener, The Homogeneous Chaos, Amer. J. Math, vol.60, pp.897-936, 1938.

D. Xiu and G. E. Karniadakis, The Wiener-Askey polynomial chaos for stochastic differential equations, SIAM J. Sci. Comp, vol.24, issue.2, pp.619-644, 2002.

R. W. Zimmerman, Coupling in poroelasticity and thermoelasticity, Int. J. Rock Mech. Min. Sci, vol.37, issue.1-2, pp.79-87, 2000.