Equivalent diffusion coefficient and equivalent diffusion accessible porosity of a stratified porous medium

Transport in Porous Media

Volumn 66, Issue 3, 2007, Pages 421-438

  Huysmans, Marijke ^a   Dassargues, Alain ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Diffusion; Equivalent parameters; Low permeability media

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; HARMONIC ANALYSIS; MECHANICAL PERMEABILITY; POROSITY; POROUS MATERIALS; TRANSPORT PROPERTIES;

DIFFUSION PARAMETERS; LAYERED POROUS MEDIUM; LOW PERMEABILITY MEDIA; STRATIFIED POROUS MEDIUM;

DIFFUSION;

CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; HARMONIC ANALYSIS; MECHANICAL PERMEABILITY; POROSITY; POROUS MATERIALS; TRANSPORT PROPERTIES;

DIFFUSION; PERMEABILITY; POROSITY; POROUS MEDIUM; STRATIFIED FLOW; TRANSPORT PROCESS;

EID: 33847003059     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-006-0028-6     Document Type: Article

References (44)

1. M. Aertsens I. Wemaere L. Wouters 2004 Spatial variability of transport parameters in the Boom Clay Appl. Clay Sci. 26 37-45 10.1016/ j.clay.2003.09.015
2. R. Ash R.M. Barrer J.H. Petropoulos 1963 Diffusion in heterogeneous media: Properties of a laminated slab Br. J. Appl. Phys. 14 854-862 10.1088/0508-3443/14/12/307
3. J.A. Barker R. Herbert 1982 Pumping tests in patchy aquifers Ground Water 20 130-155
4. Barrer, R.M.: Diffusion and permeation in heterogeneous media (Chapter 6), in Crank, J., Park, G.S. (eds.) Diffusion in Polymers, pp. 165-215. Academic Press, New York (1968)
5. J.A. Barrie J.D. Levind A.S. Michaels P. Wong 1963 Diffusion and solution of gases in composite rubber membranes Trans. Faraday Soc. 59 854-862 10.1039/tf9635900869
6. J.J. Butler Jr. 1988 Pumping tests in nonuniform aquifers: The radially symmetric case J. Hydrol. 101 15-30 10.1016/0022-1694(88)90025-X
7. J.J. Butler Jr. C.D. McElwee 1990 Variable rate pumping tests for radially symmetric nonuniform aquifers Water Resour. Res. 26 291-306 10.1029/89WR01580
8. M.H. Chambers D.S.L. Lawrence B.W. Sellwood A. Parker 2000 Annual layering in the Upper Jurassic Kimmeridge clay formation, UK, quantified using an ultra-high resolution SEM-EDX investigation Sediment Geol 137 9-23 10.1016/S0037-0738(00)00092-0
9. C.V. Chrysikopoulos P.K. Kitanidis P.V. Roberts 1992 Macrodispersion of sorbing solutes in heterogeneous porous formations with spatially periodic retardation factor and velocity field Water Resour. Res. 28 1517-1529 10.1029/92WR00010
10. V. Cvetkovic A. Shapiro 1990 Mass arrival of sorptive solute in heterogeneous porous media Water Resour. Res. 26 2057-2067 10.1029/ 90WR00603
11. G. Dagan 1982 Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 2, The solute transport Water Resour. Res. 18 835-848
12. G. Dagan 1984 Solute transport in heterogeneous porous formations J. Fluid Mech. 145 151-177 10.1017/S0022112084002858
13. G. Dagan 1987 Theory of solute transport by groundwater Annu. Rev. Fluid Mech. 19 183-215 10.1146/annurev.fl.19.010187.001151
14. G. Dagan 1988 Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers Water Resour. Res. 24 1491-1500
15. D.E. Desaulniers J.A. Cherry P. Fritz 1981 Origin, age and movement of pore water in argillaceous quaternary deposits at four sites in southwestern Ontario J. Hydrol. 50 231-257 10.1016/0022-1694(81)90072-X
16. M. Descostes V. Blin B. Grenut P. Meier I. Pointeau E. Tevissen 2004 I-125(-) and Cl-36(-) diffusion in Oxfordian limestones and Callovo-Oxfordian argillites formations Geochim Cosmochim Acta 68 11 A507-A507
17. S. Didierjean D. Maillet C. Moyne 2004 Analytical solutions of one-dimensional macrodispersion in stratified porous media by the quadrupole method: Convergence to an equivalent homogeneous porous medium Adv. Water Res. 27 657-667 10.1016/j.advwatres.2004.02.022
18. L.W. Gelhar C.L. Axness 1983 Three-dimensional stochastic analysis of macrodispersion in aquifers Water Resour. Res. 19 161-180
19. R.W. Gillham M.J.L. Robin D.J. Dytynyshyn H.M. Johnston 1984 Diffusion of nonreactive and reactive solutes through fine-grained barrier materials Can. Geotech. J. 21 3 541-550
20. B.X. Hu F.W. Deng J.H. Cushman 1995 Nonlocal reactive transport with physical and chemical heterogeneity-linear nonequilibrium sorption with random Kd Water Resour. Res. 31 2239-2252 10.1029/95WR01395
21. Indelman, P.: Transient well-type flows in heterogeneous formations. Water Resour. Res. 39(3), 1064, doi:10.1029/2002WR001407 (2003)
22. Y.-S. Jang Y.-I. Kim 2003 Behavior of a municipal landfill from field measurement data during a waste-disposal period Env. Geol. 44 592-598 10.1007/s00254-003-0796-z
23. J.L. Jensen 1998 Some statistical properties of power averages for lognormal samples Water Resour. Res. 34 2415-2418 10.1029/98WR01557
24. R.L. Johnson J.A. Cherry J.F. Pankow 1989 Diffusive contaminant transport in natural clay: A field example and implications for clay-lined waste disposal sites Environ. Sci. Technol. 23 340-349 10.1021/es00180a012
25. Z.J. Kabala G. Sposito 1991 A stochastic model of reactive solute transport with time-varying velocity in a heterogeneous aquifer Water Resour. Res. 27 341-350 10.1029/90WR01906
26. P. Landais 2004 Clays in natural and engineered barriers for radioactive waste confinement Appl. Clay Sci. 26 1-4 110.1016/j.clay.2003.12.006
27. C. Liu W.P. Ball 1998 Analytical modeling of diffusion-limited contamination and decontamination in a two-layer porous medium Adv. Water Resour. 21 297-313 10.1016/S0309-1708(97)00013-4
28. A.V. Luikov 1968 Analytical Heat Diffusion Theory 2 Academics Press New York
29. D. Mallants J. Marivoet X. Sillen 2001 Performance assessment of the disposal of vitrified high-level waste in a clay layer J. Nucl. Mat. 298 125-135 10.1016/S0022-3115(01)00577-3
30. D. Metzger H. Kinzelbach W. Kinzelbach 1996 Effective dispersion of a solute cloud in a chemically heterogeneous porous medium: Comparison of two ensemble-averaging procedures Water Resour. Res. 32 3311-3319 10.1029/96WR01777
31. J.A.S. Navarro C. Lopez A.P. Garcia 2000 Characterization of groundwater flow in the Bailin hazardous waste-disposal site (Huesca, Spain) Env. Geol. 40 1-2 216-222 10.1007/s002540000154
32. S.P. Neuman C.L. Winter C.M. Newman 1987 Stochastic theory of field-scale Fickian dispersion in anisotropic porous media Water Resour. Res. 23 453-466
33. D.S. Oliver 1990 The average process in permeability estimation from well-test data SPE Form. Eval. 5 319-324
34. M.N. Özisik 1993 Heat Conduction 2 Wiley New York
35. Patriarche, D., Michelet, J.-L., Ledoux, E., Savoye, S.: Diffusion as the main process for mass transport in very low water content argillites: 1. Chloride as a natural tracer for mass transport-Diffusion coefficient and concentration measurements in interstitial water. Water Resour. Res. 40(1), W01517, doi:10.1029/2003WR002700 (2004)
36. T. Ptak G. Schmid 1996 Dual-tracer transport experiments in a physically and chemically heterogeneous porous aquifer: Effective transport parameters and spatial variability J. Hydrol. 183 117-138 10.1016/ S0022-1694(96)80037-0
37. R. Reichle W. Kinzelbach H. Kinzelbach 1998 Effective parameters in heterogeneous and homogeneous transport models with kinetic sorption Water Resour. Res. 34 583-594 10.1029/97WR03518
38. P. Renard G. Marsily de 1997 Calculating equivalent permeability: A review Adv. Water Resour. 20 253-278 10.1016/S0309-1708(96)00050-4
39. P.V. Roberts M.N. Goltz D.M. Mackay 1986 A natural gradient experiment on solute transport in a sand aquifer, 3, Retardation estimates and mass balances for organic solutes Water Resour. Res. 22 2047-2058
40. C.D. Shackelford D.E. Daniel 1991 Diffusion in saturated soil, I, Background J. Geotech. Eng. 117 467-484
41. R. Therrien E.A. Sudicky 1996 Three-dimensional analysis of variably-saturated flow and solute transport in discretely-fractured porous media J. Cont. Hydrol. 23 1-2 1-44 10.1016/0169-7722(95)00088-7
42. Therrien, R., Sudicky, E.A., McLaren, R.G.: FRAC3DVS: An Efficient Simulator for Three-dimensional, Saturated-Unsaturated Groundwater Flow and Density dependent, Chain-decay Solute Transport in Porous, Discretely-Fractured Porous or Dual-Porosity Formations. User's guide (2003)
43. - in a layered argillaceous rock(Opalinus Clay): Diffsion perpendicular to the fabric Appl. Geochem 18 1653-1662 10.1016/S0883-2927(03)00047-7
44. Van Marcke, Ph., Laenen, B.: The Ypresian Clays as Possible Host Rock for Radioactive Waste Disposal: An Evaluation, ONDRAF/NIRAS, Brussel (2005)