Laboratory tracer tests on three-dimensional reconstructed heterogeneous porous media

Journal of Hydrology

Volumn 294, Issue 1-3, 2004, Pages 196-212

  Danquigny, C ^a   Ackerer, P ^a   Carlier, J P ^a  

^a UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

Dispersivity; Effective parameters; Groundwater; Hydraulic conductivity; Tracer test

Indexed keywords

CORRELATION METHODS; HYDRAULIC CONDUCTIVITY; POROUS MATERIALS; RANDOM PROCESSES;

ADVECTION-DISPERSION EQUATIONS; MACRODISPERSIVITY;

HYDROLOGY;

DISPERSIVITY; GROUNDWATER FLOW; HETEROGENEOUS MEDIUM; HYDRAULIC CONDUCTIVITY; POROUS MEDIUM; TRACER;

EID: 2942750504     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.02.008     Document Type: Article

References (59)

1. Bard Y. Nonlinear Parameter Estimation. 1974;Academic Press, New York
2. Bear J. Dynamics of Fluids in Porous Media. 1972;American Elsevier, New York
3. Berkowitz B., Scher H., Silliman S.E. Anomalous transport in laboratory-scale, heterogeneous porous media. Water Resources Research. 36:(1):2000;149-158
4. Carrera J., Neuman S.P. Estimation of aquifer parameters under transient and steady state conditions. 1. Maximum likelihood method incorporating prior information. Water Resources Research. 22:(2):1986;199-210
5. Chao H.C., Rajaram H., Illangasekare T. Intermediate-scale experiments and numerical simulations of transport under radial flow in a two-dimensional heterogeneous porous medium. Water Resources Research. 36:(10):2000;2869-2884
6. Chin D.A. An assessment of first-order stochastic dispersion theories in porous media. Journal of Hydrology. 199:1997;53-73
7. Cushman J.H., Bennethum L.S., Hu B.X. A primer on upscaling tools for porous media. Advances in Water Resources. 25:2002;1043-1067
8. Dagan G. Flow and Transport in Porous Formations. 1989;Springer, Berlin. 465 pp
9. Danquigny, C., 2003. Etude expérimentale du transfert de masse en milieu poreux hétérogène. Thèse de Doctorat de l'Université Louis Pasteur, Institut de Mécanique des Fluides et des Solides, Strasbourg, France, 188 p.
10. Fiori A. The relative dispersion and mixing of passive solutes in transport in geologic media. Transport in Porous Media. 42:(1/2):2000;69-83
11. Gelhar L.W., Axness C.L. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resources Research. 19:1983;161-180
12. Guadagnini A., Riva M., Neuman S.P. Three-dimensional Steady State Flow to a Well in Randomly Heterogeneous Bounded Aquifer. Water Resource Research. 39:(3):2002W;1048. doi:10.1029/2002WR001443
13. Harleman D.R., Rumer R.R. Longitudinal and lateral dispersion in an isotropic porous medium. Journal of Fluid Mechanics. 16:1963;385-394
14. Huang K., Toride N., Van Genuchten M.T.H. Experimental investigation of solute transport in large, homogeneous and heterogeneous, saturated columns. Transport in Porous Media. 18:1995;283-302
15. Indelman P., Dagan G. Upscaling of permeability of anisotropic heterogeneous formation. 1. General frame work. Water Resources Research. 29:(4):1993;917-923
16. Indelman P., Dagan G. Upscaling of permeability of anisotropic heterogeneous formation. 2. General structure and small perturbation analysis. Water Resources Research. 29:(4):1993;925-933
17. Indelman P., Dagan G. Solute transport in divergent radial flow through heterogeneous porous media. Journal of Fluid Mechanics. 384:1999;159-182
18. Irwin N.C., Botz M.M., Greenkorn R.A. Experimental investigation of characteristic length scale in periodic heterogeneous porous media. Transport in Porous Media. 25:1996;235-246
19. Jellali S., Muntzer P., Razakarisoa O., Schäfer G. Large-scale experiment on transport of trichloroethylene in a controlled aquifer. Transport in Porous Media. 44:2001;145-163
20. Khan A.U.H., Jury W.A. A laboratory study of the dispersion scale effect in column outflow experiments. Journal of Contaminant Hydrology. 5:1990;119-131
21. Kitanidis P.K. Effective hydraulic conductivity for gradually varying flow. Water Resources Research. 26:(6):1990;1197-1208
22. Klotz D., Seiler K.P., Moser J., Neumaier F. Dispersivity and velocity relationship from laboratory and field experiments. Journal of Hydrology. 45:1980;169-184
23. Knopman D.S., Voss C.I. Further comments on sensitivities, parameter estimation, and sampling design in one-dimensional analysis of solute transport in porous media. Water Resources Research. 24:1988;225-238
24. Lintea, M.D., 2001. Transport de polluant à l'échelle de l'hétérogénéité des milieux poreux aléatoires. Approche stochastique et numérique. Thèse de Doctorat de l'Université Louis Pasteur, Institut de Mécanique des Fluides et des Solides, Strasbourg, France, 287 p.
25. Marquardt D.W. An algorithm for least-squares estimation of non-linear parameters. SIAM, Journal on Applied mathematics. 11:(2):1963;431-441
26. Matheron G., de Marsily G. Is transport in porous media always diffusive? A counterexample. Water Resources Research. 16:(5):1980;901-917
27. Neuman S.P. Universal scaling of hydraulic conductivities and dispersivities in geologic media. Water Resources Research. 26:1990;1749-1758
28. Neuman S.P., Orr S. Prediction of steady state flow in nonuniform geologic media by conditional moments: exact nonlocal formalism, effective conductivities and weak approximation. Water Resources Research. 29:(2):1993;341-364
29. Nguyen V., Dagan G., Springer E.P. Analysis of caisson transport experiment by travel time approach. Field-scale water and solute flux in soils. 1990;Monte Verita/Birkhäuser, Basel. pp. 79-93
30. Novakowski K.S. An evaluation of boundary conditions for one-dimensional solute transport. 1. Mathematical development. Water Resources Research. 28:(9):1992;2399-2410
31. Novakowski K.S. An evaluation of boundary conditions for one-dimensional solute transport. 2. Column experiments. Water Resources Research. 28:(9):1992;2411-2423
32. Osnes H. Stochastic analysis of head spatial variability in bounded rectangular heterogeneous aquifers. Water Resources Research. 31:1995;2981-2990
33. Oswald S.E., Scheidegger M.B., Kinzelbach W. Time-dependent measurement of strongly density-dependent flow in a porous medium via nuclear magnetic resonance imaging. Transport in Porous Media. 47:(2):2002;169-193
34. Paleologos E.K., Neuman S.P., Tartakovsky D. Effective hydraulic conductivity of bounded, strongly heterogeneous porous media. Water Resources Research. 32:(5):1996;1333-1341
35. Pfannkuch H.O. Contribution a l'étude des déplacements de fluides miscible dans un milieu poreux. Revue de l'Institut Français du Pétrole. 18:1963;215-270
36. Ptak T., Teutsch G. A comparison of investigation methods for the prediction of flow and transport in highly heterogeneous formations. Dracos T., Stauffer F. International Symposium on Transport and Reactive processes in Aquifers, 11-15 April, Zurich, Balkema, Rotterdam. 1994;157-160
37. Rashidi M., Peurrung L., Tompson A.F.B., Kulp T.J. Experimental analysis of pore-scale flow and transport in porous media. Advances in Water Resources. 19:1996;163-180
38. Renard P., de Marsily G. Calculating equivalent permeability: a review. Advances in Water Resources. 20:(5-6):1997;253-278
39. Renard P., Ledoux E., Ackerer P., et al. Scale up of hydraulic conductivities: comparison of laboratory experiments and numerical analyses. Computational Methods in Water Resources. 13:2000;799-804
40. Riva M., Guadagnini A., Neuman S.P., Franzetti S. Radial flow in a bounded, randomly heterogeneous aquifer. Transport in Porous Media. 45:2001;139-193
41. Rubin Y. Stochastic modeling of macrodispersion in heterogeneous porous media. Water Resources Research. 26:(1):1990;133-141
42. Rubin Y., Dagan G. Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers. 1. Constant head boundary. Water Resources Research. 24:(10):1988;1689-1697
43. Rubin Y., Dagan G. Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers. 2. Impervious boundary. Water Resources Research. 25:(4):1989;707-712
44. Ruch, M., 1992. Transport d'un polluant non réactif en milieu poreux saturé: étude sur modèles physiques 3D et simulations, Thèse de Doctorat de l'Université Louis Pasteur, Institut de Mécanique des Fluides et des Solides, Strasbourg, France, 162 p.
45. Saffman P.G. A theory of dispersion in a porous medium. Journal of Fluid Mechanics. 6:1959;321-349
46. Sanchez-Vila X. Radially convergent flow in heterogeneous porous media. Water Resources Research. 33:(7):1997;1633-1641
47. Schäfer, G., 1991. Einfluss von Schichtenstrukturen und lokalen Einlagerungen auf die Längdispersion in Porengrundwasserleitern. PhD Thesis, Institut für Wasserbau, Universität Stuttgart. ISBN 3-921694-72-2.
48. Scheidegger A.E. General theory of dispersion in porous media. Journal of Geophysical Research. 66:(10):1961;3273-3278
49. Schincariol R.A., Schwartz F.W. An experimental investigation of variable density flow and mixing in homogeneous and heterogeneous media. Water Resources Research. 26:1990;2317-2329
50. Silliman S.E. Laboratory study of chemical transport to wells within heterogeneous porous media. Water Resources Research. 37:(7):2001;1883-1892
51. Silliman S.E., Simpson E.S. Laboratory evidence of the scale effect in solute transport. Water Resources Research. 23:1987;1667-1673
52. Silliman S.E., Zheng L. Comparison of observations from a Laboratory model with stochastic theory: initial analysis of hydraulic and tracer experiments. Transport in Porous Media. 42:2001;85-107
53. Silliman S.E., Konikow L.F., Voss C.I. Laboratory investigation of longitudinal dispersion in anisotropic media. Water Resources Research. 23:1987;2145-2151
54. Silliman S.E., Zheng L., Conwell P. The use of laboratory experiments for the study of conservative solute transport in heterogeneous porous media. Hydrogeology Journal. 6:1998;166-177
55. Spitz, K., 1985, Dispersion in porösen medien: Einfluss von Inhomogenitäten und Dichteunterschieden. PhD Thesis, Institut für Wasserbau, Universität Stuttgart, ISBN 3-921694-60-4.
56. Sternberg S.P.K., Cushman J.H., Greenkorn R.A. Laboratory observation of non-local dispersion. Transport in Porous Media. 23:1996;135-151
57. Tartakovsky D.M., Guadagnini A., Ballio F., Tartakovsky A.M. Localization of mean flow and apparent transmissivity tensor for bounded randomly heterogeneous aquifers. Transport in Porous Media. 49:2002;41-58
58. Thompson A.F.B., Gelhar L.W. Numerical simulation of solute transport in three-dimensionnal, randomly heterogeneous porous media. Water Resources Research. 26:(10):1990;2541-2562
59. Watson S.J., Barry D.A., Schotting R.J., Hassanizadeh S.M. On the validity of Darcy's law for stable high-concentration displacements in granular porous media. Transport in Porous Media. 47:(2):2002;149-167