S. Pandey, A. Chaudhuri, S. Kelkar, V. Sandeep, and H. Rajaram, Investigation of permeability alteration of fractured limestone reservoir due to geothermal heat extraction using three-dimensional thermo-hydro-chemical (THC) model, Geothermics, vol.51, pp.46-62, 2014.
DOI : 10.1016/j.geothermics.2013.11.004

P. Gamazo, S. Bea, M. Saaltink, J. Carrera, and C. Ayora, Modeling the interaction between evaporation and chemical composition in a natural saline system, Journal of Hydrology, vol.401, issue.3-4, pp.154-164, 2011.
DOI : 10.1016/j.jhydrol.2011.02.018

J. P. Crawshaw and E. S. Boek, Multi-scale Imaging and Simulation of Structure, Flow and Reactive Transport for CO2 Storage and EOR in Carbonate Reservoirs, Reviews in Mineralogy and Geochemistry, vol.77, issue.1, pp.431-458, 2013.
DOI : 10.2138/rmg.2013.77.12

B. Ren, Y. Xu, S. Ren, X. Li, P. Guo et al., Laboratory assessment and field pilot of near miscible CO 2 injection for ior and storage in a tight oil reservoir of ShengLi Oilfield China, 2011.

P. Négrel, R. Millot, E. Petelet-giraud, E. Malcuit, and A. Brenot, Impact of Rock Weathering on the Chemical Composition of Groundwater Determined by Inverse Modeling in Large Sedimentary Basins, Procedia Earth and Planetary Science, vol.7, pp.615-619, 2013.
DOI : 10.1016/j.proeps.2013.03.135

H. Luo, F. Laouafa, J. Guo, and M. Quintard, Numerical modeling of three-phase dissolution of underground cavities using a diffuse interface model, International Journal for Numerical and Analytical Methods in Geomechanics, vol.16, issue.2, pp.1600-1616, 2014.
DOI : 10.1002/nag.2274

J. De-waele, L. Plan, and P. Audra, Recent developments in surface and subsurface karst geomorphology: An introduction, Geomorphology, vol.106, issue.1-2, pp.1-8, 2009.
DOI : 10.1016/j.geomorph.2008.09.023

M. Ezersky and A. Frumkin, Fault ??? Dissolution front relations and the Dead Sea sinkhole problem, Geomorphology, vol.201, pp.35-44, 2013.
DOI : 10.1016/j.geomorph.2013.06.002

A. Zidane, E. Zechner, P. Huggenberger, and A. Younes, Simulation of rock salt dissolution and its impact on land subsidence, Hydrology and Earth System Sciences Discussions, vol.10, issue.10, pp.12255-12291, 2013.
DOI : 10.5194/hessd-10-12255-2013

]. S. Whitaker, The Method of Volume Averaging, 1999.
DOI : 10.1007/978-94-017-3389-2

M. Quintard and S. Whitaker, Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media, Advances in Water Resources, vol.17, issue.4, pp.221-239, 1994.
DOI : 10.1016/0309-1708(94)90002-7

M. Quintard and S. Whitaker, Dissolution of an Immobile Phase during Flow in Porous Media, Industrial & Engineering Chemistry Research, vol.38, issue.3, pp.833-844, 1999.
DOI : 10.1021/ie980212t

J. Chadam, D. Hoff, E. Merino, P. Ortoleva, and A. Sen, Reactive Infiltration Instabilities, IMA Journal of Applied Mathematics, vol.36, issue.3, pp.207-221, 1986.
DOI : 10.1093/imamat/36.3.207

X. Liu, A. Ormond, K. Bartko, Y. Li, and P. Ortoleva, A geochemical reaction-transport simulator for matrix acidizing analysis and design, Journal of Petroleum Science and Engineering, vol.17, issue.1-2, pp.17-181, 1997.
DOI : 10.1016/S0920-4105(96)00064-2

F. Golfier, C. Zarcone, B. Bazin, R. Lenormand, D. Lasseux et al., On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium, Journal of Fluid Mechanics, vol.457, pp.213-254, 2002.
DOI : 10.1017/S0022112002007735

C. Oltéan, F. Golfier, and M. A. Buès, Numerical and experimental investigation of buoyancy-driven dissolution in vertical fracture, Journal of Geophysical Research: Solid Earth, vol.33, issue.3, pp.2038-2048, 2013.
DOI : 10.1029/2012GL051306

J. Donea, S. Giuliani, and J. Halleux, An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.33, issue.1-3, pp.689-723, 1982.
DOI : 10.1016/0045-7825(82)90128-1

Y. Amini, H. Emdad, and M. Farid, A new model to solve fluid???hypo-elastic solid interaction using the smoothed particle hydrodynamics (SPH) method, European Journal of Mechanics - B/Fluids, vol.30, issue.2, pp.184-194, 2011.
DOI : 10.1016/j.euromechflu.2010.09.010

W. Sun, G. Liu, L. Wang, T. Wu, and Y. Liu, An arbitrary Lagrangian???Eulerian model for studying the influences of corrosion product deposition on bimetallic corrosion, Journal of Solid State Electrochemistry, vol.78, issue.3, pp.829-840, 2013.
DOI : 10.1007/s10008-012-1935-9

L. Chen, Q. Kang, B. Carey, and W. Tao, Pore-scale study of diffusion???reaction processes involving dissolution and precipitation using the lattice Boltzmann method, International Journal of Heat and Mass Transfer, vol.75, pp.483-496, 2014.
DOI : 10.1016/j.ijheatmasstransfer.2014.03.074

L. Chen, Q. Kang, B. A. Robinson, Y. He, and W. Tao, Pore-scale modeling of multiphase reactive transport with phase transitions and dissolution-precipitation processes in closed systems, Physical Review E, vol.87, issue.4, p.43306, 2013.
DOI : 10.1103/PhysRevE.87.043306

Z. Xu, H. Huang, X. Li, and P. Meakin, Phase field and level set methods for modeling solute precipitation and/or dissolution, Computer Physics Communications, vol.183, issue.1, pp.15-19, 2012.
DOI : 10.1016/j.cpc.2011.08.005

G. Vignoles, Y. Aspa, and M. Quintard, Modelling of carbon???carbon composite ablation in rocket nozzles, Composites Science and Technology, vol.70, issue.9, pp.1303-1311, 2010.
DOI : 10.1016/j.compscitech.2010.04.002

URL : https://hal.archives-ouvertes.fr/hal-00649880

C. W. Hirt and B. D. Nicolas, Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, vol.39, issue.1, pp.201-225, 1981.
DOI : 10.1016/0021-9991(81)90145-5

T. Van-noorden, Crystal Precipitation and Dissolution in a Porous Medium: Effective Equations and Numerical Experiments, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1220-1236, 2009.
DOI : 10.1137/080722096

V. Clément, V. M. Tan, B. Samir, and A. Pierre, Reactive transport in porous media: pore-network model approach compared to pore-scale model, Phys. Rev. E, vol.87, issue.2, p.23010, 2013.

J. B. Collins and H. Levine, Diffuse interface model of diffusion-limited crystal growth, Physical Review B, vol.31, issue.9, pp.6119-6122, 1985.
DOI : 10.1103/PhysRevB.31.6119

C. Beckermann, H. Diepers, I. Steinbach, A. Karma, and X. Tong, Modeling Melt Convection in Phase-Field Simulations of Solidification, Journal of Computational Physics, vol.154, issue.2, pp.468-496, 1999.
DOI : 10.1006/jcph.1999.6323

Z. Xu and P. Meakin, Phase-field modeling of solute precipitation and dissolution, The Journal of Chemical Physics, vol.129, issue.1, p.14705, 2008.
DOI : 10.1063/1.2948949

H. Luo, M. Quintard, G. Debenest, and F. Laouafa, Properties of a diffuse interface model based on a porous medium theory for solid???liquid dissolution problems, Computational Geosciences, vol.34, issue.23???24, pp.913-932, 2012.
DOI : 10.1007/s10596-012-9295-1

URL : https://hal.archives-ouvertes.fr/ineris-00963359

C. Maisons, E. Fortier, and M. Valette, Induced microseismicity and procedure for closure of brine production caverns, in: Seismicity Associated with Mines, Reservoirs and Fluid Injections, pp.585-603, 1998.

D. Raucoules, C. Maisons, C. Carnec, S. Le-mouelic, C. King et al., Monitoring of slow ground deformation by ERS radar interferometry on the Vauvert salt mine (France), Remote Sensing of Environment, vol.88, issue.4, pp.468-478, 2003.
DOI : 10.1016/j.rse.2003.09.005

URL : https://hal.archives-ouvertes.fr/hal-00119040

M. J. Berger and P. Colella, Local adaptive mesh refinement for shock hydrodynamics, Journal of Computational Physics, vol.82, issue.1, pp.64-84, 1989.
DOI : 10.1016/0021-9991(89)90035-1

H. Zhang, Z. Chen, B. Li, and X. Jiang, The secondary vortex rings of a supersonic underexpanded circular jet with low pressure ratio, European Journal of Mechanics - B/Fluids, vol.46, pp.172-180, 2014.
DOI : 10.1016/j.euromechflu.2014.03.016

G. S. Pau, J. B. Bell, A. S. Almgren, K. M. Fagnan, and M. J. Lijewski, An adaptive mesh refinement algorithm for compressible two-phase flow in porous media, Computational Geosciences, vol.465, issue.2012, pp.16-577, 2012.
DOI : 10.1007/s10596-011-9270-2

P. Durbin and G. Iaccarino, An Approach to Local Refinement of Structured Grids, Journal of Computational Physics, vol.181, issue.2, pp.639-653, 2002.
DOI : 10.1006/jcph.2002.7147

B. N. Chetverushkin, N. G. Churbanova, M. A. Trapeznikova, A. A. Sukhinov, and A. A. Malinovskij, Adaptive Cartesian mesh refinement for simulating multiphase flows in porous media, Comput. Methods Appl. Math, vol.8, pp.101-115, 2008.

M. Gerritsen and J. V. Lambers, Integration of local???global upscaling and grid adaptivity for simulation of subsurface flow in heterogeneous formations, Computational Geosciences, vol.35, issue.2, pp.193-208, 2008.
DOI : 10.1007/s10596-007-9078-2

G. Scovazzi, A. Gerstenberger, and S. Collis, A discontinuous Galerkin method for gravity-driven viscous fingering instabilities in porous media, Journal of Computational Physics, vol.233, pp.373-399, 2013.
DOI : 10.1016/j.jcp.2012.09.003

P. Forsyth and P. Sammon, Practical considerations for adaptive implicit methods in reservoir simulation, Journal of Computational Physics, vol.62, issue.2, pp.265-281, 1986.
DOI : 10.1016/0021-9991(86)90127-0

M. Mamaghani, G. Enchery, and C. , Development of a refinement criterion for adaptive mesh refinement in steam-assisted gravity drainage simulation, Computational Geosciences, vol.50, issue.229, pp.17-34, 2011.
DOI : 10.1007/s10596-010-9192-4

URL : https://hal.archives-ouvertes.fr/tel-00740906

C. Rendleman, V. Beckner, M. J. Lijewski, W. Crutchfield, and J. Bell, Parallelization of structured, hierarchical adaptive mesh refinement algorithms, Computing and Visualization in Science, vol.3, issue.3, pp.147-157, 2000.
DOI : 10.1007/PL00013544

R. D. Hornung, A. M. Wissink, and S. R. Kohn, Managing complex data and geometry in parallel structured AMR applications, Engineering with Computers, vol.8, issue.2, pp.181-195, 2006.
DOI : 10.1007/s00366-006-0038-6

F. A. Coutelieris, M. E. Kainourgiakis, A. K. Stubos, E. S. Kikkinides, and Y. C. Yortsos, Multiphase mass transport with partitioning and inter-phase transport in porous media, Chemical Engineering Science, vol.61, issue.14, pp.61-4650, 2006.
DOI : 10.1016/j.ces.2006.02.037

C. Soulaine, G. Debenest, and M. Quintard, Upscaling multi-component two-phase flow in porous media with partitioning coefficient, Chemical Engineering Science, vol.66, issue.23, pp.6180-6192, 2011.
DOI : 10.1016/j.ces.2011.08.053

C. Zheng and G. D. Bennett, Applied Contaminant Transport Modeling: Theory and Practice, Journal of Environment Quality, vol.25, issue.4, 1995.
DOI : 10.2134/jeq1996.00472425002500040045x

C. Zhao, T. Poulet, K. Regenauer-lieb, and B. Hobbs, Computational modeling of moving interfaces between fluid and porous medium domains, Computational Geosciences, vol.15, issue.1, pp.151-166, 2013.
DOI : 10.1007/s10596-012-9322-2

P. Angot, C. Bruneau, and P. Fabrie, A penalization method to take into account obstacles in incompressible viscous flows, Numerische Mathematik, vol.81, issue.4, pp.497-520, 1999.
DOI : 10.1007/s002110050401

R. D. Hornung and J. A. Trangenstein, Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media, Journal of Computational Physics, vol.136, issue.2, pp.522-545, 1997.
DOI : 10.1006/jcph.1997.5779

O. Schenk and K. Gärtner, Solving unsymmetric sparse systems of linear equations with PARDISO, Future Generation Computer Systems, vol.20, issue.3, pp.475-487, 2004.
DOI : 10.1016/j.future.2003.07.011

P. E. Dijk and B. Berkowitz, Buoyancy-driven dissolution enhancement in rock fractures, Geology, vol.28, issue.11, pp.1051-1054, 2000.
DOI : 10.1130/0091-7613(2000)28<1051:BDEIRF>2.0.CO;2

P. E. Dijk, B. Berkowitz, and Y. Yechieli, Measurement and analysis of dissolution patterns in rock fractures, Water Resources Research, vol.91, issue.B7, 2002.
DOI : 10.1029/2001WR000246