I. Ahmad and M. Berzins, MOL solvers for hyperbolic PDEs with source terms, Mathematics and Computers in Simulation, vol.56, issue.2, pp.115-125, 2001.
DOI : 10.1016/S0378-4754(01)00284-1

A. Ahmadi, A. Aigueperse, and M. Quintard, Calculation of the effective properties describing active dispersion in porous media: from simple to complex unit cells, Advances in Water Resources, vol.24, issue.3-4, pp.423-438, 2001.
DOI : 10.1016/S0309-1708(00)00065-8

A. Ahmadi and M. Quintard, Large-scale properties for two-phase flow in random porous media, Journal of Hydrology, vol.183, issue.1-2, pp.69-99, 1996.
DOI : 10.1016/S0022-1694(96)80035-7

T. B. Anderson and R. Jackson, Fluid Mechanical Description of Fluidized Beds. Equations of Motion, Industrial & Engineering Chemistry Fundamentals, vol.6, issue.4, pp.527-538, 1967.
DOI : 10.1021/i160024a007

E. Arquis and J. P. Caltagirone, Sur les conditions hydrodynamiques au voisinage d'une interface milieu fluide-milieu poreux : ApplicationàApplicationà la convection naturelle, C. R. Acad. Sci. Paris, vol.299, issue.1, pp.1-4, 1984.

B. Bazin, From matrix acidizing to acid fracturing : A laboratory evaluation of acid / rock interactions, SPE Prod. and Facilities, vol.15, issue.4, pp.1-8, 2000.

B. Bazin and G. Abdulahad, Experimental Investigation of Some Properties of Emulsified Acid Systems for Stimulation of Carbonate Formations, Middle East Oil Show and Conference, 1999.
DOI : 10.2118/53237-MS

B. Bazin, G. Chauveteau, and M. Bouteca, Acid Filtration in Dynamic Conditions to Mimic Fluid Loss in Acid Fracturing, SPE European Formation Damage Conference, 1997.
DOI : 10.2118/38168-MS

B. Bazin, C. Roque, and M. Bouteca, A Laboratory Evaluation of Acid Propagation in Relation to Acid Fracturing: Results and Interpretation., SPE European Formation Damage Conference, 1995.
DOI : 10.2118/30085-MS

J. Bear, On the tensor form of dispersion in porous media, Journal of Geophysical Research, vol.52, issue.4, pp.1185-1197, 1961.
DOI : 10.1029/JZ066i004p01185

G. S. Beavers and D. D. Joseph, Boundary conditions at a naturally permeable wall, Journal of Fluid Mechanics, vol.none, issue.01, pp.197-207, 1967.
DOI : 10.1017/S0022112067001375

C. Beckermann, S. Ramadhyani, and R. Viskanta, Natural Convection Flow and Heat Transfer Between a Fluid Layer and a Porous Layer Inside a Rectangular Enclosure, Journal of Heat Transfer, vol.109, issue.2, pp.363-370, 1987.
DOI : 10.1115/1.3248089

C. Beckermann, R. Viskanta, and S. Ramadhyani, Natural convection in vertical enclosures containing simultaneously fluid and porous layers, Journal of Fluid Mechanics, vol.26, issue.-1, pp.257-284, 1988.
DOI : 10.1016/0017-9310(84)90087-5

S. Bekri, J. F. Thovert, and P. M. Adler, Dissolution of porous media, Chemical Engineering Science, vol.50, issue.17, pp.2765-2791, 1995.
DOI : 10.1016/0009-2509(95)00121-K

S. Bekri, J. F. Thovert, and P. M. Adler, Dissolution and deposition in fractures, Engineering Geology, vol.48, issue.3-4, pp.283-308, 1997.
DOI : 10.1016/S0013-7952(97)00044-6

V. Brare, Analyse des résultats, 1999.

H. C. Brinkman, A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Flow, Turbulence and Combustion, vol.15, issue.1, pp.27-34, 1947.
DOI : 10.1002/andp.19063240204

C. H. Bruneau, P. Fabrie, and P. Rasetarinera, AN ACCURATE FINITE DIFFERENCE SCHEME FOR SOLVING CONVECTION-DOMINATED DIFFUSION EQUATIONS, International Journal for Numerical Methods in Fluids, vol.88, issue.2, pp.169-183, 1997.
DOI : 10.1002/(SICI)1097-0363(19970130)24:2<169::AID-FLD486>3.0.CO;2-J

M. A. Buijse, Mechanisms of wormholing in carbonate acidizing', SPE 37283, presented at the SPE Int, Symposium on Oilfield Chem, 1997.

P. A. Burton, Convergence of Flux Limiter Schemes for Hyperbolic Conservation Law with Source Terms, 1993.

R. G. Carbonell and S. Whitaker, Dispersion in pulsed systems???II, Chemical Engineering Science, vol.38, issue.11, pp.1795-1802, 1983.
DOI : 10.1016/0009-2509(83)85036-2

R. G. Carbonell and S. Whitaker, Fundamentals of Transport Phenomena in Porous Media, Corapcioglu edn, Martinus Nijhof, chapter Heat and Mass Transfer in Porous Media, pp.121-198, 1984.

F. Chang, Q. Qu, and W. Frenier, A novel self-diverting acid developed for matrix stimulation of carbonate reservoirs', SPE 65033, presented at the Int, Symposium on Oilfield Chem, 2001.

R. Chella, D. Lasseux, and M. Quintard, Multiphase, Multicomponent Fluid Flow in Homogeneous and Heterogeneous Porous Media, Revue de l'Institut Fran??ais du P??trole, vol.53, issue.3, pp.335-346, 1998.
DOI : 10.2516/ogst:1998029

Y. Chen, J. Fambrough, K. Bartko, Y. Li, C. Montgomery et al., Reactiontransport simulation of matrix acidizing and optimal acidizing strategies', SPE 37282, presented at the SPE Int, Symposium on Oilfield Chem, 1997.

F. Cherblanc, Etude Du Transport Miscible En Milieux Poreux Hétérogènes : Prise En Compte Du Non-´ Equilibre, 1999.

F. Civan, Scale effect on porosity and permeability: Kinetics, model, and correlation, AIChE Journal, vol.34, issue.150, pp.271-287, 2001.
DOI : 10.1002/aic.690470206

I. Colquhoun-lee and J. Stepanek, Mass transfer in single phase flow in packed beds', The Chemical Engineer pp, pp.108-111, 1974.

M. W. Conway, M. Asadi, G. S. Penny, and F. Chang, A Comparative Study of Straight/Gelled/Emulsified Hydrochloric Acid Diffusivity Coefficient Using Diaphragm Cell and Rotating Disk, SPE Annual Technical Conference and Exhibition, 1999.
DOI : 10.2118/56532-MS

H. J. Cushman, The Physics of Fluids in Hierarchical Porous Media : Angstroms to Miles, 1997.
DOI : 10.1007/978-94-015-8849-2

H. J. Cushman and M. Moroni, Statistical mechanics with three-dimensional particle tracking velocimetry experiments in the study of anomalous dispersion. I. Theory, Physics of Fluids, vol.13, issue.1, pp.75-80, 2001.
DOI : 10.1063/1.1328075

H. J. Cushman and M. Moroni, Statistical mechanics with three-dimensional particle tracking velocimetry experiments in the study of anomalous dispersion. II, Phys. Fluids, vol.13, issue.1, pp.81-91, 2001.

G. Daccord, The Fractal Approach to Heterogeneous Chemistry, Avnir, chapter Dissolutions, pp.183-197, 1989.

G. Daccord, R. Lenormand, and O. Lietard, Chemical dissolution of a porous medium by a reactive fluid???I. Model for the ???wormholing??? phenomenon, Chemical Engineering Science, vol.48, issue.1, pp.169-178, 1993.
DOI : 10.1016/0009-2509(93)80293-Y

G. Daccord, R. Lenormand, and E. Touboul, Carbonate Acidizing: Toward a Quantitative Model of the Wormholing Phenomenon, SPE Production Engineering, vol.4, issue.01, pp.63-68, 1989.
DOI : 10.2118/16887-PA

G. Daccord, O. Lietard, and R. Lenormand, Chemical dissolution of a porous medium by a reactive fluid???II. Convection vs reaction, behavior diagram, Chemical Engineering Science, vol.48, issue.1, pp.179-186, 1993.
DOI : 10.1016/0009-2509(93)80294-Z

G. Daccord, J. Nittmann, and H. E. Stanley, Radial viscous fingers and diffusion-limited aggregation: Fractal dimension and growth sites, Physical Review Letters, vol.56, issue.4, pp.336-339, 1986.
DOI : 10.1103/PhysRevLett.56.336

G. Dagan, The generalization of Darcy's Law for nonuniform flows, Water Resources Research, vol.11, issue.3, pp.1-7, 1979.
DOI : 10.1029/WR015i001p00001

G. Dagan, Flow and Transport in Porous Formation, 1990.
DOI : 10.1007/978-3-642-75015-1

E. F. Dezabala and C. J. Radke, A non-equilibrium description of alkaline water flooding, Soc. Petrol. Engng J, vol.26, pp.29-43, 1986.

L. Durlofsky and J. F. Brady, Analysis of the Brinkman equation as a model for flow in porous media, Physics of Fluids, vol.30, issue.11, pp.3329-3341, 1987.
DOI : 10.1063/1.866465

P. N. Dwivedi and S. N. Upadhyay, Particle-Fluid Mass Transfer in Fixed and Fluidized Beds, Industrial & Engineering Chemistry Process Design and Development, vol.16, issue.2, pp.157-165, 1977.
DOI : 10.1021/i260062a001

R. C. Dykhuizen, A new coupling term for dual-porosity models, Water Resour. Res, vol.26, pp.351-356, 1990.

S. Ergun, Fluid flow through packed columns, Chem. Engng Progress, vol.48, pp.89-94, 1952.
DOI : 10.1021/ie50474a011

H. S. Fogler, K. Lund, and C. C. Mccune, Predicting the Flow and Reaction of HCl/HF Acid Mixtures in Porous Sandstone Cores, SPE 5646, presented at the Annual Fall Tech. Conf. and Exhibition, 1976.
DOI : 10.2118/5646-PA

C. N. Fredd, Dynamic model of wormhole formation demonstrates conditions for effective skin reduction during carbonate matrix acidizing', SPE 59537, presented at the Permian Basin Oil and Gas Recovery Conference, 2000.

C. N. Fredd and H. S. Fogler, Alternative stimulation fluids and their impact on carbonate acidizing', SPE J, vol.13, issue.1, p.34, 1998.
DOI : 10.2118/31074-pa

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.461.884

C. N. Fredd and H. S. Fogler, Influence of transport and reaction on wormhole formation in porous media, AIChE Journal, vol.78, issue.9, pp.1933-1949, 1998.
DOI : 10.1002/aic.690440902

C. N. Fredd and H. S. Fogler, Optimum Conditions for Wormhole Formation in Carbonate Porous Media: Influence of Transport and Reaction, SPE Journal, vol.4, issue.03, 1999.
DOI : 10.2118/56995-PA

C. N. Fredd and M. J. Miller, Validation of Carbonate Matrix Stimulation Models, SPE International Symposium on Formation Damage Control, 2000.
DOI : 10.2118/58713-MS

T. P. Frick, M. Kurmayr, and M. J. Economides, Modeling of fractal patterns in matrix acidizing and their impact on well performance', SPE 23789, 1994.

D. K. Gartling, A finite element formulation for incompressible, conjugate, viscous/porous flow problems, in 'Int. Conf. On Comput. Methods in Flow Analysis, 1988.

R. D. Gdanski, A Fundamentally New Model of Acid Wormholing in Carbonates, SPE European Formation Damage Conference, 1999.
DOI : 10.2118/54719-MS

R. Gdansky and M. Van-domelen, Slaying the Myth of Infinite Reactivity of Carbonates, SPE International Symposium on Oilfield Chemistry, 1999.
DOI : 10.2118/50730-MS

L. W. Gehlar, Fundamental of Transport Phenomena in Porous Media, Martinus Nijhoff Publishers, The Nederlands, chapter Stochastic Analysis of Flow in Heterogeneous Porous Media, 1984.

P. Genthon, G. Cabioch, S. Calmant, and A. Ormond, Distribution des cavit??s de l'atoll soulev?? de Walpole. Implications sur le processus de karstification par les eaux m??t??oriques, Comptes Rendus de l'Acad??mie des Sciences - Series IIA - Earth and Planetary Science, vol.332, issue.7, pp.439-445, 2001.
DOI : 10.1016/S1251-8050(01)01554-3

F. Golfier, M. Quintard, and S. Whitaker, Heat and Mass Transfer in Tubes: An Analysis Using the Method of Volume Averaging, Journal of Porous Media, vol.5, issue.3, 2002.
DOI : 10.1615/JPorMedia.v5.i3.10

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, 2002.
DOI : 10.1017/S0022112002007735

B. Goyeau, T. Benihaddadene, D. Gobin, and M. Quintard, Averaged momentum equation for flow through a non homogeneous porous structure, Transport in Porous Media, pp.19-50, 1997.

B. Goyeau, T. Benihaddadene, D. Gobin, and M. Quintard, Numerical calculation of the permeability in a dendritic mushy zone, Metallurgical and Materials Transactions B, vol.8, issue.3, pp.613-622, 1999.
DOI : 10.1007/s11663-999-0022-9

W. G. Gray, A derivation of the equations for multi-phase transport, Chemical Engineering Science, vol.30, issue.2, pp.229-233, 1975.
DOI : 10.1016/0009-2509(75)80010-8

W. G. Gray, A. Leijnse, R. L. Kolar, and C. A. Blain, Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems, 1993.

C. G. Groves and A. D. Howard, Early development of karst systems: 1. Preferential flow path enlargement under laminar flow, Water Resources Research, vol.10, issue.10, pp.2837-2846, 1994.
DOI : 10.1029/94WR01303

A. Harten, High resolution schemes for hyperbolic conservation laws, Journal of Computational Physics, vol.49, issue.3, pp.357-393, 1983.
DOI : 10.1016/0021-9991(83)90136-5

M. L. Hoefner and H. S. Fogler, Pore evolution and channel formation during flow and reaction in porous media, AIChE Journal, vol.34, issue.1, pp.45-54, 1988.
DOI : 10.1002/aic.690340107

M. L. Hoefner, H. S. Fogler, P. Stenius, and J. Sjöblom, Role of Acid Diffusion in Matrix Acidizing of Carbonates, Journal of Petroleum Technology, vol.39, issue.02, pp.203-208, 1987.
DOI : 10.2118/13564-PA

F. A. Howes and S. Whitaker, The spatial averaging theorem revisited, Chemical Engineering Science, vol.40, issue.8, pp.1387-1392, 1985.
DOI : 10.1016/0009-2509(85)80078-6

T. Huang, A. D. Hill, and R. S. Schechter, Reaction rate and fluid loss : The keys to wormhole initiation and propagation in carbonate acidizing', SPE 37312, presented at the SPE Int, Symposium on Oilfield Chem, 1997.

T. Huang, D. Zhu, and A. D. Hill, Prediction of wormhole population density in carbonate matrix acidizing', SPE 54723, 1999.

M. E. Hubbard and P. Garcia-navarro, Flux difference splitting and the balancing of source termes and flux gradients, J. Comput, 2000.

K. M. Hung, A. D. Hill, and K. Sepehrnoori, A Mechanistic Model of Wormhole Growth in Carbonate Matrix Acidizing and Acid Fracturing, Journal of Petroleum Technology, vol.41, issue.01, pp.59-66, 1989.
DOI : 10.2118/16886-PA

M. Jahoda and V. Hornof, Concentration profiles of reactant in a viscous finger formed during the interfacially reactive immiscible displacements in porous media, Powder Technology, vol.110, issue.3, pp.253-257, 2000.
DOI : 10.1016/S0032-5910(99)00279-X

M. Kaviany, Principles of Heat Transfer in Porous Media, 1991.

P. Knabner, C. J. Van-duijn, and S. Hengst, An analysis of crystal dissolution fronts in flows through porous media. Part 1: Compatible boundary conditions, Advances in Water Resources, vol.18, issue.3, pp.171-185, 1995.
DOI : 10.1016/0309-1708(95)00005-4

E. J. Koval, A method for predicting the performance of unstable miscible displacement in heterogeneous porous media, Trans. AIME, vol.228, pp.145-154, 1963.

A. V. Kuznetsov, Influence of the stress jump condition at the porous-medium/clear-fluid interface on a flow at a porous wall, International Communications in Heat and Mass Transfer, vol.24, issue.3, pp.401-410, 1997.
DOI : 10.1016/S0735-1933(97)00025-0

J. C. Larrea, Etude Par Simulation Numérique de L'hydrodynamique Au Voisinage D'une Interface Poreuse, 1991.

J. C. Larrea, M. Prat, and H. Boisson, Sur les conditions aux limitesàlimitesà la paroi pour le calcul d'unécoulementunécoulement laminaire dans un canaì a parois poreuses, C. R. Acad. Sci. Paris, vol.315, issue.2, pp.143-148, 1992.

D. Lasseux, F. Golfier, M. Quintard, and H. Bertin, On the determination of effective permeability of vuggy porous media, '2nd Int. Conf. On Computer Methods for Engineering in Porous Media', 2000.

L. Bray, Y. Prat, and M. , Three-dimensional pore network simulation of drying in capillary porous media, International Journal of Heat and Mass Transfer, vol.42, issue.22, pp.4207-4224, 1999.
DOI : 10.1016/S0017-9310(99)00006-X

S. Leclerc, Analyse des resultats, 1998.

R. Lenormand, E. Touboul, and C. Zarcone, Numerical models and experiments on immiscible displacements in porous media, Journal of Fluid Mechanics, vol.291, issue.-1, pp.165-187, 1988.
DOI : 10.1017/S0022112083003110

D. Lhuillier, B. Goyeau, and D. Gobin, La viscosité effective dans le modèle de Darcy- Brinkman : Approche self-consistante, 1999.

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.181-196, 1997.
DOI : 10.1016/S0920-4105(96)00064-2

K. Lund, H. S. Fogler, and C. C. Mccune, Acidization???I. The dissolution of dolomite in hydrochloric acid, Chemical Engineering Science, vol.28, issue.3, p.691, 1973.
DOI : 10.1016/0009-2509(77)80003-1

K. Lund, H. S. Fogler, C. C. Mccune, and J. W. Ault, Acidization???II. The dissolution of calcite in hydrochloric acid, Chemical Engineering Science, vol.30, issue.8, p.825, 1975.
DOI : 10.1016/0009-2509(75)80047-9

T. S. Lundgren, Slow flow through stationary random beds and suspensions of spheres, Journal of Fluid Mechanics, vol.19, issue.02, pp.273-299, 1972.
DOI : 10.1021/ie50534a033

J. D. Lynn and H. A. Nasr-el-din, A core based comparison of the reaction characteristics of emulsified and in-situ gelled acids in low permeability, high temperature, gas bearing carbonates', SPE 65386, presented at the Int, Symp. on Oilfield Chem, 2001.

N. Mahinpey, M. Ojha, and O. Trass, Transient mass and heat transfer in a smooth pipe, International Journal of Heat and Mass Transfer, vol.44, issue.20, pp.3919-3930, 2001.
DOI : 10.1016/S0017-9310(01)00039-4

C. M. Marle, Ecoulements monophasiques en milieu poreux, Rev. Inst. Français du Pétrole, vol.22, issue.10, pp.1471-1509, 1967.

C. T. Miller, G. Christakos, P. T. Imhoff, J. F. Mcbride, J. A. Pedit et al., Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches, Advances in Water Resources, vol.21, issue.2, pp.77-120, 1998.
DOI : 10.1016/S0309-1708(96)00036-X

C. Moyne, S. Didierjean, H. P. Amaral-souto, and O. T. Da-silveira, Dispersion thermique en milieu poreux : Modèlè a uné equation, in 'Congrès Annuel de la Société Française Des Thermiciens, pp.467-472, 1999.

N. A. Mumallah, Factors influencing the reaction rate of hydrochloric acid and carbonate rock', SPE 21036, presented at the SPE Int, Symposium on Oilfield Chem, 1991.

N. A. Mumallah, Effective HCl diffusion coefficients from correlations of HCl-limestone reactions', SPE 37458, presented at the SPE Production Operations Symposium, 1997.

N. A. Mumallah, Reaction rates of hydrochloric acid with chalks, Journal of Petroleum Science and Engineering, vol.21, issue.3-4, pp.167-177, 1998.
DOI : 10.1016/S0920-4105(98)00047-3

A. Naimi, Sur la Formulation et Simulation de L'effet D'inertie Dans L'hydrodynamique En Milieu Poreux, 1997.

D. A. Nield, The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation, Journal of Fluid Mechanics, vol.99, issue.-1, pp.37-46, 1983.
DOI : 10.1017/S0022112071002088

R. H. Nilson and S. K. Griffiths, Wormhole growth in soluble porous materials, Physical Review Letters, vol.65, issue.13, pp.1583-1586, 1990.
DOI : 10.1103/PhysRevLett.65.1583

J. Nittmann and H. E. Stanley, Role of fluctuations in viscous fingering and dendritic crystal growth: a noise-driven model with non-periodic sidebranching and no threshold for onset, Journal of Physics A: Mathematical and General, vol.20, issue.15, pp.981-986, 1987.
DOI : 10.1088/0305-4470/20/15/009

I. Nozad, R. G. Carbonell, and S. Whitaker, Heat conduction in multiphase systems???I, Chemical Engineering Science, vol.40, issue.5, pp.843-855, 1985.
DOI : 10.1016/0009-2509(85)85037-5

J. A. Ochoa-tapia and S. Whitaker, Momentum transfer at the boundary between a porous medium and a homogeneous fluid???I. Theoretical development, International Journal of Heat and Mass Transfer, vol.38, issue.14, pp.2635-2646, 1995.
DOI : 10.1016/0017-9310(94)00346-W

J. A. Ochoa-tapia and S. Whitaker, Momentum transfer at the boundary between a porous medium and a homogeneous fluid???II. Comparison with experiment, International Journal of Heat and Mass Transfer, vol.38, issue.14, pp.2647-2655, 1995.
DOI : 10.1016/0017-9310(94)00347-X

A. S. Odeh and M. F. Cohen, A Technique for Improving the Simulation of Linear, Miscible Hydrocarbon Displacement in the Event of Viscous Fingering, Energy Sources, vol.253, issue.1, pp.9-17, 1989.
DOI : 10.1080/00908318908908937

S. V. Patankar, Numerical Heat Transfer and Fluid Flow : Computational Mthods in Mechanics and Thermal Science, 1980.

D. R. Poirier, Permeability for flow of interdentritic liquid in columnar-dentritic alloys, Met. Trans. 18B, pp.245-255, 1987.

S. E. Power, L. M. Abriola, and W. J. Weber-jr, An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: Steady state mass transfer rates, Water Resources Research, vol.5, issue.2, pp.28-2691, 1992.
DOI : 10.1029/92WR00984

S. E. Powers, C. O. Loureiro, L. M. Abriola, and W. J. Weber-jr, Theoretical study of the significance of nonequilibrium dissolution of nonaqueous phase liquids in subsurface systems, Water Resources Research, vol.5, issue.1, pp.463-477, 1991.
DOI : 10.1029/91WR00074

M. Bibliographie-quintard, Fracture-matrix mass exchange coefficients', internal report of L, E.P.T.- ENSAM, 1996.

M. Quintard, One-phase flow in vuggy rocks', internal report of L, E.P.T.-ENSAM, 1996.

M. Quintard, F. Cherblanc, and S. Whitaker, Dispersion in heterogeneous porous media : One-equation non-equilibrium model, Transport in Porous Media, pp.181-203, 2001.

M. Quintard, M. Kaviany, and S. Whitaker, Two-medium treatment of heat transfer in porous media: numerical results for effective properties, Advances in Water Resources, vol.20, issue.2-3, pp.2-3, 1997.
DOI : 10.1016/S0309-1708(96)00024-3

M. Quintard and S. Whitaker, Two-phase flow in heterogeneous porous media: The method of large-scale averaging, Transport in Porous Media, pp.357-413, 1988.
DOI : 10.1007/BF00233177

M. Quintard and S. Whitaker, Two-phase flow in heterogeneous porous media I: The influence of large spatial and temporal gradients, Transport in Porous Media, pp.341-379, 1990.
DOI : 10.1007/BF01141991

M. Quintard and S. Whitaker, One- and Two-Equation Models for Transient Diffusion Processes in Two-Phase Systems, Adv. Heat Transfer, vol.23, pp.369-464, 1993.
DOI : 10.1016/S0065-2717(08)70009-1

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment, Chemical Engineering Science, vol.48, issue.14, pp.2537-2564, 1993.
DOI : 10.1016/0009-2509(93)80266-S

M. Quintard and S. Whitaker, Convection, dispersion, and interfacial transport of contaminants : Homogeneous porous media', Adv. in Water Resour, pp.221-239, 1994.

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media I: The cellular average and the use of weighting functions, Transport in Porous Media, pp.163-177, 1994.
DOI : 10.1007/BF00615199

M. Quintard and S. Whitaker, Aerosol filtration: An analysis using the method of volume averaging, Journal of Aerosol Science, vol.26, issue.8, pp.1227-1255, 1995.
DOI : 10.1016/0021-8502(95)00051-8

M. Quintard and S. Whitaker, Local thermal equilibrium for transient heat conduction: theory and comparison with numerical experiments, International Journal of Heat and Mass Transfer, vol.38, issue.15, pp.2779-2796, 1995.
DOI : 10.1016/0017-9310(95)00028-8

M. Quintard and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media ? III. large-scale mechanical equilibrium and the regional form of Darcy's law', Adv. in Water Resour, pp.617-629, 1998.

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

M. P. Robichaud, P. A. Tanguy, and M. Fortin, An iterative implementation of the Uzawa algorithm for 3-D fluid flow problems, International Journal for Numerical Methods in Fluids, vol.43, issue.4, pp.429-442, 1990.
DOI : 10.1002/fld.1650100406

G. Rowan, Theory of acid treatment of limestone formations, J. Inst. Petrol, issue.431, p.45, 1959.

J. Rubinstein, Effective equations for flow in random porous media with a large number of scales, Journal of Fluid Mechanics, vol.154, issue.-1, pp.379-383, 1986.
DOI : 10.1016/0301-9322(83)90018-6

R. Y. Rubinstein and S. Torquato, Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds, Journal of Fluid Mechanics, vol.1, issue.-1, pp.25-46, 1989.
DOI : 10.1016/0301-9322(82)90047-7

P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium or hele-shaw cell, Proc. R. Soc. A245, pp.312-329, 1958.

M. Sahimi, G. R. Gavalas, and T. T. Tsotsis, Statistical and continuum models of fluid-solid reactions in porous media, Chemical Engineering Science, vol.45, issue.6, pp.1443-1502, 1990.
DOI : 10.1016/0009-2509(90)80001-U

S. Saleh, J. Thovert, and P. Adler, Flow along porous media by partical image velocimetry, AIChE Journal, vol.39, issue.11, pp.1765-1776, 1993.
DOI : 10.1002/aic.690391104

R. S. Schechter and J. L. Gidley, The change in pore size distribution from surface reactions in porous media, AIChE Journal, vol.15, issue.3, pp.339-350, 1969.
DOI : 10.1002/aic.690150309

R. Schuiling, Geochemical engineering: some thoughts on a new research field, Applied Geochemistry, vol.5, issue.3, pp.251-262, 1990.
DOI : 10.1016/0883-2927(90)90001-L

J. D. Sherwood, Stability of a plane reaction front in a porous medium, Chemical Engineering Science, vol.42, issue.7, pp.1823-1829, 1987.
DOI : 10.1016/0009-2509(87)80187-2

J. C. Slattery, Flow of viscoelastic fluids through porous media, AIChE Journal, vol.13, issue.6, pp.1066-1071, 1967.
DOI : 10.1002/aic.690130606

K. S. Sorbie, H. R. Zhang, and N. B. Tsibuklis, Linear viscous fingering: New experimental results, direct simulation and the evaluation of averaged models, Chemical Engineering Science, vol.50, issue.4, pp.601-616, 1995.
DOI : 10.1016/0009-2509(94)00252-M

P. Speck, J. W. De-graaf, J. D. Nieuwenhuis, and J. J. Zijlstra, Optimizing the process of sulphuric acid injection into limestones, Journal of Geochemical Exploration, vol.62, issue.1-3, pp.331-335, 1998.
DOI : 10.1016/S0375-6742(97)00058-7

L. Takacs, A two-step scheme for the advection equation with minimised dissipation and dispersion errors', Mon. Weather Rev, 1985.

C. T. Tam, The drag on a cloud of spherical particles in low Reynolds number flow, Journal of Fluid Mechanics, vol.1, issue.03, pp.537-546, 1969.
DOI : 10.1103/PhysRev.67.107

P. Tardy and M. Quintard, Solving stiff mass transfers in compositional multiphase flow models : Numerical stability and spurious solutions, pp.161-183, 1999.

M. R. Todd and W. J. Longstaff, The development, testing and application of a numerical simulator for predicting miscible flood performance', Trans, pp.874-882, 1972.

K. Vafai and R. Thiyagaraja, Analysis of flow and heat transfer at the interface region of a porous medium, International Journal of Heat and Mass Transfer, vol.30, issue.7, pp.1391-1405, 1987.
DOI : 10.1016/0017-9310(87)90171-2

K. Vafai and C. L. Tien, Boundary and inertia effects on convective mass transfer in porous media, International Journal of Heat and Mass Transfer, vol.25, issue.8, pp.1183-1190, 1982.
DOI : 10.1016/0017-9310(82)90212-5

H. Van-der-vorst, Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.13, issue.2, pp.631-644, 1992.
DOI : 10.1137/0913035

C. J. Van-duijn, P. Knabner, and R. J. Schotting, An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions, Advances in Water Resources, vol.22, issue.1, pp.1-16, 1998.
DOI : 10.1016/S0309-1708(97)00038-9

M. Vignes-adler, P. M. Adler, and P. Gougat, Transport processes along fractals. the Cantor-Taylor brush, Phys. Chem. Hydrodyn, vol.8, issue.4, pp.401-422, 1987.

S. Vossoughi, J. E. Smith, D. W. Green, and G. P. Willhite, A new method to simulate the effects of viscous fingering on miscible displacement processes in porous media', Trans, pp.56-64, 1984.

Y. Wang, A. D. Hill, and R. S. Schechter, The optimum injection rate for matrix acidizing of carbonate formations', SPE 26578, 1993.

S. Whitaker, Diffusion and dispersion in porous media, AIChE Journal, vol.13, issue.3, pp.420-427, 1967.
DOI : 10.1002/aic.690130308

S. Whitaker, A simple geometrical derivation of the spatial averaging theorem, Chem. Engng Ed, vol.19, pp.18-52, 1985.

S. Whitaker, Flow in porous media I : A theoretical derivation of Darcy's law', Transport in Porous Media 1, pp.3-35, 1986.

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

B. B. Williams, J. L. Gidley, and R. S. Schechter, Acidizing fundamentals', Monograph Series, 1979.

F. Zanotti and R. G. Carbonell, Development of transport equations for multiphase system???I, Chemical Engineering Science, vol.39, issue.2, pp.263-278, 1984.
DOI : 10.1016/0009-2509(84)80026-3

F. Zanotti and R. G. Carbonell, Development of Transport Equations for Multiphase Systems???III, Chemical Engineering Science, vol.39, issue.2, pp.299-311, 1984.
DOI : 10.1016/0009-2509(84)80028-7

F. Zanotti and R. G. Carbonell, Development of transport equations for multiphase systems???II, Chemical Engineering Science, vol.39, issue.2, pp.279-297, 1984.
DOI : 10.1016/0009-2509(84)80027-5

Z. F. Zhang and J. E. Smith, The velocity of DNAPL fingering in water-saturated porous media: laboratory experiments and a mobile???immobile???zone model, Journal of Contaminant Hydrology, vol.49, issue.3-4, pp.335-353, 2001.
DOI : 10.1016/S0169-7722(01)00097-3