Scale dependence of reaction rates in porous media

Advances in Water Resources

Volumn 29, Issue 1, 2006, Pages 62-71

  Meile, Christof ^a   Tuncay, Kagan ^b  

^a UNIVERSITY OF GEORGIA   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Diffusion; Pore scale modeling; Porous media; Reaction rate; Upscaling

Indexed keywords

APPROXIMATION THEORY; DIFFUSION; EQUATIONS OF MOTION; FLOW PATTERNS; MATHEMATICAL MODELS; POROSITY; REACTION KINETICS; TRANSPORT PROPERTIES;

INHOMOGENEOUS SOLUTE DISTRIBUTION; PORE GEOMETRY; PORE-SCALE MODELING; REACTION RATES;

POROUS MATERIALS;

DIFFUSION; MATHEMATICAL MODELING; POROUS MEDIUM;

EID: 28444487455     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2005.05.007     Document Type: Article

References (69)

1. P.M. Adler Porous media: Fluid transport and pore structure 1992 Academic Press New York
2. O. Axelsson Iterative solution methods 1994 Cambridge University Press New York
3. J. Bear Y. Bachmat Introduction to modeling phenomena of transport in porous media 1991 Kluwer Academic publishers Dordrecht, The Netherlands
4. R. Beckie Measurement scale, network sampling scale, and groundwater model parameters Water Resour Res 32 1996 65-76
5. R. Beckie A.A. Aldama E.F. Wood The universal structure of the groundwater flow equations Water Resour Res 30 1994 1407-1419
6. D.P. Bentz N.S. Martys Hydraulic radius and transport in reconstructed model three-dimensional porous media Transport Porous Media 17 1995 221-238
7. B. Berkowitz R.P. Ewing Percolation theory and network modeling. Applications in soil physics Surveys Geophys 19 1998 23-72
8. J.G. Berryman Measurement of spatial correlation functions using image processing techniques J Appl Phys 57 1985 2374-2384
9. M.J. Blunt M.D. Jackson M. Piri P.H. Valvatne Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow Adv Water Resour 25 2002 1069-1089
10. B.P. Boudreau A theoretical investigation of the organic carbon-microbial biomass relation in muddy sediments Aquat Microbial Ecol 17 1999 181-189
11. B.P. Boudreau Diagenetic models and their implementation 1997 Springer Berlin
12. A. Brune P. Frenzel H. Cypionka Life at the oxic-anoxic interface: microbial activities and adaptations FEMS Microbiol Rev 24 2000 691-710
13. S.L. Bryant K.E. Thompson Theory, modeling and experiment in reactive transport in porous media Current Opin Colloid Interface Sci 6 2001 217-222
14. W.-J. Cai P. Zhao Y. Wang pH and pCO2 microelectrode measurements and the diffusive behavior of carbon dioxide species in coastal marine sediments Mar Chem 70 2000 133-148
15. 2+ as an impurity in calcite growth Science 290 2000 1134-1137
16. W. Davison G.R. Fones G.W. Grime Dissolved metals in surface sediment and a microbial mat at 100-μM resolution Nature 387 1997 885-888
17. G. De Giudici Surface control vs. diffusion control during calcite dissolution: Dependence of step-edge velocity upon solution pH Amer Mineral 87 2002 1279-1285
18. B.A. Dempsey H.C. Roscoe R. Ames R. Hedin B.-H. Jeon Ferrous oxidation chemistry in passive abiotic systems for the treatment of mine drainage Geochem: Explor Environ Analy 1 2001 81-88
19. M. Doi A new variational approach to the diffusion and the flow problem in porous media J Phys Soc Jpn 40 1976 567-572
20. R.N. Glud M. Kühl O. Kohls N.B. Ramsing Heterogeneity of oxygen production and consumption in a photosynthetic microbial mat as studied by planar optodes J Phycol 35 1999 270-279
21. C.M. Gramling C.F. Harvey L.C. Meigs Reactive transport in porous media: a comparison of model prediction with laboratory visualization Environ Sci Technol 36 2002 2508-2514
22. B. Hales S. Emerson Evidence in support of first-order dissolution kinetics of calcite in seawater Earth Planet Sci Lett 148 1997 317-327
23. U. Hornung Homogenization and porous media 1996 Springer New York
24. M. Huettel I.T. Webster Porewater flow in permeable sediments In: B.P. Boudreau B.B. Jörgensen editors. The benthic boundary layer 2001 Oxford University Press UK 144-179
25. R. Jahnke A model of microenvironments in deep-sea sediments. Formation and effects on porewater profiles Limnol Oceanogr 30 1985 956-965
26. D.J. Jeffrey Conduction through a random suspension of spheres Proc Roy Soc Lond A 335 1973 355-367
27. A.A. Jeschke W. Dreybrodt Dissolution rates of minerals and their relation to surface morphology Geochim Cosmochim Acta 66 2002 3055-3062
28. P.E. Kechagia I.N. Tsimpanogiannis Y.C. Yortsos P.C. Lichtner On the upscaling of reaction-transport processes in porous media with fast or finite kinetics Chem Eng Sci 57 2002 2565-2577
29. I.C. Kim S. Torquato Effective conductivity of suspensions of overlapping spheres J Appl Phys 71 1992 2727-2735
30. C.E. Knutson C.J. Werth A.J. Valocchi Pore-scale modeling of dissolution from variably distributed nonaqueous phase liquid blobs Water Resour Res 37 2001 2951-2963
31. A.C. Lasaga Kinetic theory in the earth sciences 1998 Princeton University Press Princeton
32. Z. Li M.L. Brusseau Nonideal transport of reactive solutes in heterogeneous porous media. 6. Microscopic and macroscopic approaches for incorporating heterogeneous rate-limited mass transfer Water Resour Res 36 10 2000 2853-2867
33. M. Maerki B. Wehrli C. Dinkel B. Mueller The influence of tortuosity on molecular diffusion in freshwater sediments of high porosity Geochim Cosmochim Acta 68 2004 1519-1528
34. M.E. Malmström G. Destouni S.A. Banwart B.H.E. Stroemberg Resolving the scale-dependence of mineral weathering rates Environ Sci Technol 34 2000 1375-1378
35. N. Mammar M. Rosanne B. Prunet-Foch J.-F. Thovert E. Tevissen P.M. Adler Transport properties of compact clays: I. Conductivity and permeability J Colloid Int Sci 240 2001 498-508
36. B. Manz R. Volke D. Goll H. Horn Measuring local flow velocities and biofilm structure in biofilm systems with magnetic resonance imaging (MRI) Biotech Bioeng 84 2003 424-432
37. N.S. Martys S. Torquato D.P. Bentz Universal scaling of fluid permeability for sphere packings Phys Rev E 50 1994 403-409
38. C. Meile P. Van Cappellen Global estimates of enhanced solute transport in marine sediments Limnol Oceanogr 48 2003 777-786
39. Z. Mo J.C. Friedly Local reaction and diffusion in porous media transport models Water Resour Res 36 2000 431-438
40. A. Moctezuma-Berthier O. Vizika P.M. Adler Macroscopic conductivity of vugular porous media Transport Porous Media 49 2002 313-332
41. J.W. Morse F.T. Mackenzie Geochemistry of sedimentary carbonates 1990 Elsevier Science Publishers Amsterdam
42. J.L.S. Murray P.A. Jumars Clonal fitness of bacteria predicted by analog modeling Bioscience 52 2002 343-355
43. M. Pilotti Generation of realistic porous media by grains sedimentation Transport Porous Media 33 1998 257-278
44. M. Quintard S. Whitaker Convection, dispersion, and interfacial transport of contaminant: Homogeneous porous media Adv Water Resour 17 1994 221-239
45. D.S. Raje V. Kapoor Experimental study of bimolecular reaction kinetics in porous media Environ Sci Technol 34 2000 1234-1239
46. J.N. Reddy An introduction to the finite element method 2nd ed 1993 McGraw-Hill, Inc. New York
47. A.H. Reed R.B. Pandey D.L. Lavoie Fractal dimensionality of pore and grain volume of a siliciclastic marine sand Int J Modern Phys C 11 2000 1555-1559
48. J.D. Rimstidt H.L. Barnes The kinetics of silica-water reactions Geochim Cosmochim Acta 44 1980 1683-1699
49. A.P. Roberts Statistical reconstruction of three-dimensional porous media from two-dimensional images Phys Rev E 56 1997 3203-3212
50. B.A. Robinson H.S. Viswanathan Application of the theory of micromixing to groundwater reactive transport models Water Resour Res 39 2003 1313
51. A. Schäfer W.K.H. Kinzelbach Transport of reactive species in heterogeneous porous media J Hydrol 183 1996 151-168
52. J.L. Schmidt J.W. Deming P.A. Jumars R.G. Keil Constancy of bacterial abundance in surficial marine sediments Limnol Oceanogr 43 1998 976-982
53. A. Schramm In situ analysis of structure and activity of the nitrifying community in biofilms, aggregates, and sediments Geomicrobiol J 20 2003 313-333
54. J.C. Slattery Flow of viscoelastic fluids through porous media AIChE J. 13 1967 1066-1071
55. J.C. Slattery Momentum, energy and mass transfer in continua 1981 Krieger NY
56. P. Spanne J.F. Thovert C.J. Jacquin W.B. Lindquist K.W. Jones P.M. Adler Synchotron computed microtomography of porous media: Topology and transports Phys Rev Lett 73 1994 2001-2004
57. N.G. Swoboda-Colberg J.I. Drever Mineral dissolution rates in plot-scale field and laboratory experiments Chem Geol 105 1993 51-69
58. J.E. Szecsody J.M. Zachara A. Chilakapati P.M. Jardine A.S. Ferrency Importance of flow and particle-scale heterogeneity on CoII/III EDTA reactive transport J Hydrol 209 1998 112-136
59. S. Torquato G. Stell Microstructure of two-phase random media. III. The n-point matrix probability functions for fully penetrable spheres J Chem Phys 79 1983 1505-1510
60. S. Torquato G. Stell Microstructure of two-phase random media. IV. Expected surface area of a dispersion of penetrable spheres and its characteristic function J Chem Phys 80 1984 878-880
61. W.J. Ullman R.C. Aller Diffusion coefficients in nearshore marine sediments Limnol Oceanogr 27 1982 552-556
62. M.T. van Genuchten F.N. Dalton Models for simulating salt movement in aggregated field soils Geoderma 38 1986 165-183
63. M.A. Velbel Constancy of silicate-mineral weathering-rate rates between natural and experimental weathering: Implications for hydrologic control of differences in absolute rates Chem Geol 105 1993 89-99
64. Y. Wang P. Van Cappellen A multicomponent reactive transport model of early diagenesis: Application to redox cycling in coastal marine sediments Geochim Cosmochim Acta 60 1996 2993-3014
65. B. Wehrli Redox reactions of metal ions at mineral surfaces In: W. Stumm editor. Aquatic chemical kinetics 1990 John Wiley & Sons New York
66. H.L. Weissberg Effective diffusion coefficient in porous media J Appl Phys 34 1963 2636-2639
67. S. Whitaker Diffusion and dispersion in porous media AIChE J 13 1967 420-427
68. C.L.Y. Yeong S. Torquato Reconstructing random media. II. Three-dimensional media from two-dimensional cuts Phys Rev E 58 1998 224-233
69. D. Zhang R. Zhang S. Chen W.E. Soll Pore scale study of flow in porous media: Scale dependency, REV, and statistical REV Geophys Res Lett 27 2000 1195-1198