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Volumn 31, Issue 1, 2008, Pages 82-95

Experimental and numerical study of the validity of Hele-Shaw cell as analogue model for variable-density flow in homogeneous porous media

Author keywords

Experimental data; Hele Shaw cell; Homogenization; Numerical simulations; Porous medium; Stability criterion; Variable density flow

Indexed keywords

DENSITY (SPECIFIC GRAVITY); FLOW RATE; MATHEMATICAL MODELS; PECLET NUMBER; POROUS MATERIALS; TRANSPORT PROPERTIES;

EID: 36048975651     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.06.007     Document Type: Article
Times cited : (13)

References (36)
  • 1
    • 0029527343 scopus 로고
    • Taylor dispersion in porous media: analysis by multiple scale expansions
    • Auriault J.L., and Adler P.M. Taylor dispersion in porous media: analysis by multiple scale expansions. Adv Water Resour 18 (1995) 217-226
    • (1995) Adv Water Resour , vol.18 , pp. 217-226
    • Auriault, J.L.1    Adler, P.M.2
  • 2
    • 0026140903 scopus 로고
    • Influence of the heterogeneity of the solutions on the parameters of miscible displacement in saturated porous medium. Stable displacement with density and viscosity contrasts
    • Buès M.A., and Aachib M. Influence of the heterogeneity of the solutions on the parameters of miscible displacement in saturated porous medium. Stable displacement with density and viscosity contrasts. Exp Fluids 11 (1991) 25-32
    • (1991) Exp Fluids , vol.11 , pp. 25-32
    • Buès, M.A.1    Aachib, M.2
  • 3
    • 0343526966 scopus 로고    scopus 로고
    • Numerical simulations for saltwater intrusion by the mixed finite element method and discontinuous finite element method
    • Buès M.A., and Oltean C. Numerical simulations for saltwater intrusion by the mixed finite element method and discontinuous finite element method. Transport Porous Med 40 (2000) 171-200
    • (2000) Transport Porous Med , vol.40 , pp. 171-200
    • Buès, M.A.1    Oltean, C.2
  • 4
    • 0025573390 scopus 로고
    • Déplacement miscible avec contrastes en milieu poreux. Identification des paramètres de déplacements et stabilité en régime de dispersion mécanique
    • Buès M.A., and Zilliox L. Déplacement miscible avec contrastes en milieu poreux. Identification des paramètres de déplacements et stabilité en régime de dispersion mécanique. J Hydrol 120 (1990) 125-141
    • (1990) J Hydrol , vol.120 , pp. 125-141
    • Buès, M.A.1    Zilliox, L.2
  • 5
    • 36048973254 scopus 로고    scopus 로고
    • Febvay JB, Hamm V, Oltean C, Golfier F, Fabriol R, Buès MA. Long-term evolution of a collapsed cavity in salt: hydrodynamic aspect. In: Inter post-mining conf, Nancy, France, 2005.
  • 6
    • 1542723080 scopus 로고    scopus 로고
    • Dispersion de Taylor généralisée à un fluide à propriétés physiques variables
    • Felder Ch., Oltean C., Panfilov M., and Buès M.A. Dispersion de Taylor généralisée à un fluide à propriétés physiques variables. CR Mecanique 332 (2004) 223-229
    • (2004) CR Mecanique , vol.332 , pp. 223-229
    • Felder, Ch.1    Oltean, C.2    Panfilov, M.3    Buès, M.A.4
  • 7
    • 0037168895 scopus 로고    scopus 로고
    • Density-driven unstable flows of miscible fluids in a Hele-Shaw cell
    • Fernandez J., Kurowski P., Petitjeans P., and Meiburg E. Density-driven unstable flows of miscible fluids in a Hele-Shaw cell. J Fluid Mech 451 (2002) 239-260
    • (2002) J Fluid Mech , vol.451 , pp. 239-260
    • Fernandez, J.1    Kurowski, P.2    Petitjeans, P.3    Meiburg, E.4
  • 8
    • 0037172090 scopus 로고    scopus 로고
    • Modelling of the dissolution in porous media at the Darcy-scale: on the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium
    • Golfier F., Zarcone C., Bazin B., Lenormand R., Lasseux D., and Quintard M. Modelling of the dissolution in porous media at the Darcy-scale: on the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium. J Fluid Mech 457 (2002) 213-254
    • (2002) J Fluid Mech , vol.457 , pp. 213-254
    • Golfier, F.1    Zarcone, C.2    Bazin, B.3    Lenormand, R.4    Lasseux, D.5    Quintard, M.6
  • 9
    • 33745698876 scopus 로고    scopus 로고
    • Miscible displacements in Hele-Shaw cell: two-dimensional base states and their linear stability
    • Goyal N., and Meiburg E. Miscible displacements in Hele-Shaw cell: two-dimensional base states and their linear stability. J Fluid Mech 558 (2006) 329-355
    • (2006) J Fluid Mech , vol.558 , pp. 329-355
    • Goyal, N.1    Meiburg, E.2
  • 10
    • 0029508712 scopus 로고
    • A non-linear theory of high-concentration-gradient dispersion in porous media
    • Hassanizadeh S.M., and Leijnse A. A non-linear theory of high-concentration-gradient dispersion in porous media. Adv Water Resour 18 (1995) 203-215
    • (1995) Adv Water Resour , vol.18 , pp. 203-215
    • Hassanizadeh, S.M.1    Leijnse, A.2
  • 11
    • 0023242924 scopus 로고
    • Viscous fingering in porous media
    • Homsy G.M. Viscous fingering in porous media. An Rev Fluid Mech 19 (1987) 271-311
    • (1987) An Rev Fluid Mech , vol.19 , pp. 271-311
    • Homsy, G.M.1
  • 12
    • 0742288496 scopus 로고    scopus 로고
    • An experimental study of miscible displacements in porous media with variation of fluid density and viscosity
    • Jiao C.-Y., and Hötzl H. An experimental study of miscible displacements in porous media with variation of fluid density and viscosity. Transport Porous Med 54 (2004) 125-144
    • (2004) Transport Porous Med , vol.54 , pp. 125-144
    • Jiao, C.-Y.1    Hötzl, H.2
  • 13
    • 0000304428 scopus 로고    scopus 로고
    • 3D Instability of miscible displacements in Hele-Shaw cell
    • Lajeunesse E., Martin J., Rakotomalala N., and Salin D. 3D Instability of miscible displacements in Hele-Shaw cell. Phys Rev Lett 79 (1997) 5254-5257
    • (1997) Phys Rev Lett , vol.79 , pp. 5254-5257
    • Lajeunesse, E.1    Martin, J.2    Rakotomalala, N.3    Salin, D.4
  • 14
    • 0035276970 scopus 로고    scopus 로고
    • The threshold of the instability in miscible displacements in a Hele-Shaw cell at high rates
    • Lajeunesse E., Martin J., Rakotomalala N., Salin D., and Yortsos Y.C. The threshold of the instability in miscible displacements in a Hele-Shaw cell at high rates. Phys Fluids 13 (2001) 799-801
    • (2001) Phys Fluids , vol.13 , pp. 799-801
    • Lajeunesse, E.1    Martin, J.2    Rakotomalala, N.3    Salin, D.4    Yortsos, Y.C.5
  • 15
    • 33947161437 scopus 로고    scopus 로고
    • Measurement by Laser Induced Fluorescence on miscible density driven flows in Hele-Shaw cell: settings and preliminary results
    • Mainhagu J., Oltean C., Golfier F., and Buès M.A. Measurement by Laser Induced Fluorescence on miscible density driven flows in Hele-Shaw cell: settings and preliminary results. CR Mecanique 335 (2007) 105-112
    • (2007) CR Mecanique , vol.335 , pp. 105-112
    • Mainhagu, J.1    Oltean, C.2    Golfier, F.3    Buès, M.A.4
  • 16
    • 0020797826 scopus 로고
    • On a method of the concentration measurement by the use of light absorption law
    • Nakamura I., Miyata M., and Sakai Y. On a method of the concentration measurement by the use of light absorption law. Bull JSME 26 (1983) 1357-1365
    • (1983) Bull JSME , vol.26 , pp. 1357-1365
    • Nakamura, I.1    Miyata, M.2    Sakai, Y.3
  • 17
    • 36048997540 scopus 로고
    • Solute transport in 3D laboratory model through an homogeneous porous medium: behaviour of dense aqueous phase and simulation
    • Heidelberg, Germany
    • Oltean C., Ackerer P., and Buès M.A. Solute transport in 3D laboratory model through an homogeneous porous medium: behaviour of dense aqueous phase and simulation. CMWR X vol. 1 (1994), Heidelberg, Germany 521-528
    • (1994) CMWR X , vol.1 , pp. 521-528
    • Oltean, C.1    Ackerer, P.2    Buès, M.A.3
  • 18
    • 1542572702 scopus 로고    scopus 로고
    • Transport with a very low density contrast in Hele-Shaw cell and porous medium: evolution of the mixing zone
    • Oltean C., Felder Ch., Panfilov M., and Buès M.A. Transport with a very low density contrast in Hele-Shaw cell and porous medium: evolution of the mixing zone. Transport Porous Med 55 (2004) 339-360
    • (2004) Transport Porous Med , vol.55 , pp. 339-360
    • Oltean, C.1    Felder, Ch.2    Panfilov, M.3    Buès, M.A.4
  • 19
    • 0035424530 scopus 로고    scopus 로고
    • Coupled groundwater flow and transport in porous media. A conservative or non-conservative form?
    • Oltean C., and Buès M.A. Coupled groundwater flow and transport in porous media. A conservative or non-conservative form?. Transport Porous Med 44 (2001) 219-246
    • (2001) Transport Porous Med , vol.44 , pp. 219-246
    • Oltean, C.1    Buès, M.A.2
  • 20
    • 0036644531 scopus 로고    scopus 로고
    • Infiltration of salt solute in homogeneous and saturated porous media - an analytical solution evaluated by numerical simulations
    • Oltean C., and Buès M.A. Infiltration of salt solute in homogeneous and saturated porous media - an analytical solution evaluated by numerical simulations. Transport Porous Med 48 (2002) 61-78
    • (2002) Transport Porous Med , vol.48 , pp. 61-78
    • Oltean, C.1    Buès, M.A.2
  • 21
    • 0027008978 scopus 로고
    • Behaviour of dense aqueous phase leachate plumes in homogeneous porous media
    • Oostrom M., Hayworth J.S., Dane J.H., and Güven O. Behaviour of dense aqueous phase leachate plumes in homogeneous porous media. Water Resour Res 28 (1992) 2123-2134
    • (1992) Water Resour Res , vol.28 , pp. 2123-2134
    • Oostrom, M.1    Hayworth, J.S.2    Dane, J.H.3    Güven, O.4
  • 22
    • 0027070053 scopus 로고
    • Experimental investigation of dense solute plumes in an unconfined aquifer model
    • Oostrom M., Dane J.H., Güven O., and Hayworth J.S. Experimental investigation of dense solute plumes in an unconfined aquifer model. Water Resour Res 28 (1992) 2315-2326
    • (1992) Water Resour Res , vol.28 , pp. 2315-2326
    • Oostrom, M.1    Dane, J.H.2    Güven, O.3    Hayworth, J.S.4
  • 23
    • 0003489725 scopus 로고
    • Non-homogeneous media and vibration theory
    • Springer-Verlag, Berlin
    • Sanchez-Palencia E. Non-homogeneous media and vibration theory. Lecture Notes in Phys (1980), Springer-Verlag, Berlin
    • (1980) Lecture Notes in Phys
    • Sanchez-Palencia, E.1
  • 24
    • 0000627182 scopus 로고
    • General theory of dispersion in porous media
    • Scheidegger A.E. General theory of dispersion in porous media. J Geophys Res 66 (1961) 3273-3278
    • (1961) J Geophys Res , vol.66 , pp. 3273-3278
    • Scheidegger, A.E.1
  • 25
    • 0025585237 scopus 로고
    • An experimental investigation of variable density flow and mixing in homogeneous and heterogeneous media
    • Schincariol R.A., and Schwartz F.W. An experimental investigation of variable density flow and mixing in homogeneous and heterogeneous media. Water Resour Res 26 (1990) 2317-2329
    • (1990) Water Resour Res , vol.26 , pp. 2317-2329
    • Schincariol, R.A.1    Schwartz, F.W.2
  • 26
    • 0033617599 scopus 로고    scopus 로고
    • High-concentration-gradient dispersion in porous media: experiments, analysis and approximations
    • Schotting R.J., Moser H., and Hassanizadeh S.M. High-concentration-gradient dispersion in porous media: experiments, analysis and approximations. Adv Water Resour 22 (1999) 665-680
    • (1999) Adv Water Resour , vol.22 , pp. 665-680
    • Schotting, R.J.1    Moser, H.2    Hassanizadeh, S.M.3
  • 27
    • 0033461819 scopus 로고    scopus 로고
    • On a test case for density-dependent groundwater flow and solute transport models: the salt lake problem
    • Simmons C.T., Narayan K.A., and Wooding R.A. On a test case for density-dependent groundwater flow and solute transport models: the salt lake problem. Water Resour Res 35 (1999) 3607-3620
    • (1999) Water Resour Res , vol.35 , pp. 3607-3620
    • Simmons, C.T.1    Narayan, K.A.2    Wooding, R.A.3
  • 28
    • 0036576819 scopus 로고    scopus 로고
    • Laboratory investigation of variable-density flow and solute transport in unsaturated-saturated porous media
    • Simmons C.T., Pierini M.L., and Hutson J.L. Laboratory investigation of variable-density flow and solute transport in unsaturated-saturated porous media. Transport Porous Med 47 (2002) 215-244
    • (2002) Transport Porous Med , vol.47 , pp. 215-244
    • Simmons, C.T.1    Pierini, M.L.2    Hutson, J.L.3
  • 29
    • 0003381083 scopus 로고
    • Dispersion of soluble matter in solvent flowing slowly through a tube
    • Taylor G.I. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc London 219 (1953) 186-203
    • (1953) Proc R Soc London , vol.219 , pp. 186-203
    • Taylor, G.I.1
  • 30
    • 0032585260 scopus 로고    scopus 로고
    • An experimental study of mixing and instability development in variable-density systems
    • Swartz C.H., and Schwartz F.W. An experimental study of mixing and instability development in variable-density systems. J Contam Hydrol 34 (1998) 169-189
    • (1998) J Contam Hydrol , vol.34 , pp. 169-189
    • Swartz, C.H.1    Schwartz, F.W.2
  • 31
    • 36048940376 scopus 로고    scopus 로고
    • Trinh Thieu B. Infiltration par contraste de densité en entrai{dotless}̂nement d'un liquide miscible émis à débit constant dans un milieu poreux saturé d'eau au repos ou en mouvement. PhD Thesis, Université Louis Pasteur, Strasbourg, France, 1974.
  • 32
    • 0036620581 scopus 로고    scopus 로고
    • Validation of classical density-dependent theory for stable, high-concentration-gradient brine displacements in coarse and medium sand
    • Watson S.J., Barry D.A., Scotting R.J., and Hassanizadeh S.M. Validation of classical density-dependent theory for stable, high-concentration-gradient brine displacements in coarse and medium sand. Adv Water Resour 25 (2002) 611-635
    • (2002) Adv Water Resour , vol.25 , pp. 611-635
    • Watson, S.J.1    Barry, D.A.2    Scotting, R.J.3    Hassanizadeh, S.M.4
  • 33
    • 0030619048 scopus 로고    scopus 로고
    • Convection in groundwater below evaporating salt lake: 1. Onset of instability
    • Wooding R.A., Tyler S.W., and White I. Convection in groundwater below evaporating salt lake: 1. Onset of instability. Water Resour Res 33 (1997) 1199-1217
    • (1997) Water Resour Res , vol.33 , pp. 1199-1217
    • Wooding, R.A.1    Tyler, S.W.2    White, I.3
  • 34
    • 0030619050 scopus 로고    scopus 로고
    • Convection in groundwater below evaporating salt lake: 2. Evolution of fingers or plumes
    • Wooding R.A., Tyler S.W., White I., and Anderson P.A. Convection in groundwater below evaporating salt lake: 2. Evolution of fingers or plumes. Water Resour Res 33 (1997) 1219-1228
    • (1997) Water Resour Res , vol.33 , pp. 1219-1228
    • Wooding, R.A.1    Tyler, S.W.2    White, I.3    Anderson, P.A.4
  • 35
    • 36049003032 scopus 로고
    • Etude sur modèle physique de mécanisme de la pollution des eaux souterraines par liquides miscibles (saumures) et non miscibles (hydrocarbures)
    • Zilliox L., and Muntzer P. Etude sur modèle physique de mécanisme de la pollution des eaux souterraines par liquides miscibles (saumures) et non miscibles (hydrocarbures). La Houille Blanche 8 (1971) 723-730
    • (1971) La Houille Blanche , vol.8 , pp. 723-730
    • Zilliox, L.1    Muntzer, P.2
  • 36
    • 0000339243 scopus 로고
    • Nonlinear viscous fingering in miscible displacement with anisotropic dispersion
    • Zimmerman W.B., and Homsy G.M. Nonlinear viscous fingering in miscible displacement with anisotropic dispersion. Phys Fluids A 3 (1991) 1859-1872
    • (1991) Phys Fluids A , vol.3 , pp. 1859-1872
    • Zimmerman, W.B.1    Homsy, G.M.2


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