Change in macroscopic concentration at the interface between different materials: Continuous or discontinuous

Water Resources Research

Volumn 46, Issue 10, 2010, Pages

  Zhang, Xiaoxian ^a   Qi, Xuebin ^b   Qiao, Dongmei ^b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b INSTITUTE OF PLANT PROTECTION   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE CONCENTRATION; DISPERSIVE PROPERTIES; EXPERIMENTAL EVIDENCE; FLUID FLOW; FLUID-SOLID INTERFACES; GLASS BEAD; HIGH POROSITY; LATTICE BOLTZMANN EQUATION METHODS; MACROSCOPIC TRANSPORT; MASS ACCUMULATIONS; MATERIAL PROPERTY; MEDIA INTERFACE; MOLECULAR DIFFUSION; MULTIPLE-RELAXATION-TIME; PORE SCALE; PORE-SCALE SIMULATION; POROUS MEDIUM; SHARP INTERFACE; SIMULATED RESULTS; SOLUTE CONCENTRATIONS; SOLUTE FLUX; SOLUTE MOVEMENT; SPATIAL AVERAGE; TWO-MATERIALS; VOID SPACE; WATER FLOWS;

BOLTZMANN EQUATION; DROP FORMATION; FLOW OF FLUIDS; GLASS; GRANULAR MATERIALS; POROUS MATERIALS; RESERVOIRS (WATER); SOLUTE TRANSPORT;

CONCENTRATION (PROCESS);

EXPERIMENTAL STUDY; GLASS; LAMINAR FLOW; MASS TRANSFER; POROSITY; SOLUTE TRANSPORT; THREE-DIMENSIONAL MODELING; VOID; VOLUME; WATER FLOW;

EID: 78149322607     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009WR008853     Document Type: Article

References (36)

1. Ahrenholz, B., J. Tolke, P. Lehmann, A. Peters, A. Kaestner, M. Krafczyk, and W. Durner (2008), Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model, Adv. Water Resour., 31(9), 1151-1173.
2. Berkowitz, B., A. Cortis, M. Dentz, and H. Scher (2006), Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44, RG2003, doi:10.1029/2005RG000178.
3. Berkowitz, B., A. Cortis, I. Dror, and H. Scher (2009), Laboratory experiments on dispersive transport across interfaces: The role of flow direction, Water Resour. Res., 45, W02201, doi:10.1029/2008WR007342.
4. Bijeljic, B., and M. J. Blunt (2006), Pore-scale modeling and continuous time random walk analysis of dispersion in porous media, Water Resour. Res., 42, W01202, doi:10.1029/2005WR004578.
5. Chen, C, A. I. Packman, and J.-F. Gaillard (2008), Pore-scale analysis of permeability reduction resulting from colloid deposition, Geophys. Res. Lett, 35, L07404, doi:10.1029/2007GL033077.
6. Chen, C, B. L. T. Lau, J.-F. Gaillard, and A. I. Packman (2009), Temporal evolution of pore geometry, fluid flow, and solute transport resulting from colloid deposition, Water Resour. Res., 45, W06416, doi:10.1029/2008WR007252.
7. Cortis, A., and A. Zoia (2009), Model of dispersive transport across sharp interfaces between porous materials, Phys. Rev. E, 80(1), 011122.
8. Cortis, A., Y. J. Chen, H. Scher, and B. Berkowitz (2004), Quantitative characterization of pore-scale disorder effects on transport in "homogeneous" granular media, Phys. Rev. E, 70(4), 041108.
9. d'Humieres, D., and I. Ginzburg (2009), Viscosity independent numerical errors for lattice Boltzmann models: From recurrence equations to "magic" collision numbers, Comput. Math. Appl., 58(5), 823-840
10. d'Humieres, D., I. Ginzburg, M. Krafczyk, P. Lallemand, and L. S. Luo (2002), Multiple-relaxation-time lattice Boltzmann models in three dimensions, Philos. Trans. R. Soc. London, Ser. A, 360(1792), 437-451.
11. Dagan, G. (1982), Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 2. The solute transport, Water Resour. Res., 18(4), 835-848.
12. Gelhar, L. W., and C. L. Axness (1983), Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19(1), 161-180.
13. Hornung, G., B. Berkowitz, and N. Barkai (2005), Morphogen gradient formation in a complex environment: An anomalous diffusion model, Phys. Rev. E, 72(4), 041916.
14. Kang, Q., P. C. Lichtner, and D. X. Zhang (2006), Lattice Boltzmann pore-scale model for multicomponent reactive transport in porous media, J. Geophys. Res., 111, B05203, doi:10.1029/2005JB003951.
15. Kang, Q., P. C. Lichtner, and D. X. Zhang (2007), An improved lattice Boltzmann model for multicomponent reactive transport in porous media at the pore scale, Water Resour. Res., 43, W12S14, doi:10.1029/2006WR005551.
16. Knutson, C. E., C. J. Werth, and A. J. Valocchi (2001), Pore-scale modeling of dissolution from variably distributed nonaqueous phase liquid blobs, Water Resour. Res., 37(12), 2951-2963.
17. LaBolle, E. M., and Y. Zhang (2006), Reply to comment by D.-H. Lim on "Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients", Water Resour. Res., 42, W02602, doi:10.1029/2005WR004403.
18. LaBolle, E. M., G. E. Fogg, and A. F. B. Tompson (1996), Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods, Water Resour. Res., 32(3), 583-593.
19. LaBolle, E. M., J. Quastel, G. E. Fogg, and J. Gravner (2000), Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients, Water Resour. Res., 36(3), 651-662.
20. Lallemand, P., and L. S. Luo (2000), Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability, Phys. Rev. E, 61(6), 6546-6562.
21. Leij, F. J., J. H. Dane, and M. T. Vangenuchten (1991), Mathematical analysis of one-dimensional solute transport in layered soil profile, Soil Sci. Soc. Am. J., 55(4), 944-953.
22. Li, L., C. A. Peters, and M. A. Celia (2006), Upscaling geochemical reaction rates using pore-scale network modeling, Adv. Water Resour., 29(9), 1351-1370.
23. Lim, D. H. (2006), Comment on "Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients" by E. M. LaBolle, J. Quastel, G. E. Fogg, and J. Gravner, Water Resour. Res., 42, W02601, doi:10.1029/2005WR004091.
24. Marseguerra, M., and A. Zoia (2006), Normal and anomalous transport across an interface: Monte Carlo and analytical approach, Ann. Nucl. Energy, 33(17-18), 1396-1407.
25. Marseguerra, M., and A. Zoia (2007), Monte Carlo investigation of anomalous transport in presence of a discontinuity and of an advection field, Physica A, 377(2), 448-464.
26. Neuman, S. P., and D. M. Tartakovsky (2009), Perspective on theories of non-Fickian transport in heterogeneous media, Adv. Water Resour., 32(5), 670-680, doi:10.1016/j.advwatres.2008.08.005.
27. Novakowski, K. S. (1992a), An evaluation of boundary conditions for one-dimensional solute transport: 1. Mathematical development, Water Resour. Res., 28(9), 2399-2410.
28. Novakowski, K. S. (1992b), An evaluation of boundary conditions for one-dimensional solute transport: 2. Column experiments, Water Resour. Res., 28(9), 2411-2423.
29. Pan, C, M. Hilpert, and C. T. Miller (2004), Lattice-Boltzmann simulation of two-phase flow in porous media, Water Resour. Res., 40, W01501, doi:10.1029/2003WR002120.
30. Qian, Y. H., D. D'Humieres, and P. Lallemand (1992), Lattice BGK models for Navier-Stokes equation, Europhys. Lett, 17(6), 479-484.
31. Sternberg, S. P. K. (2004), Dispersion measurements in highly heterogeneous laboratory scale porous media, Transp. Porous Media, 54(1), 107-124.
32. van Genuchten, M. T., and J. C. Parker (1984), Boundary-conditions for displacement experiments through short laboratory soil columns, Soil Sci. Soc. Am. J., 48(4), 703-708.
33. Zhang, X. X., J. W. Crawford, A. G. Bengough, and I. M. Young (2002), On boundary conditions in the lattice Boltzmann model for advection and anisotropic dispersion equation, Adv. Water Resour., 25(6), 601-609.
34. Zhang, X. X., L. K. Deeks, A. G. Bengough, J. W. Crawford, and L. M. Young (2005), Determination of soil hydraulic conductivity with the lattice Boltzmann method and soil thin-section technique, J. Hydrol., 306(1-4), 59-70.
35. Zhang, X. X., J. W. Crawford, and L. M. Young (2008), Does pore water velocity affect the reaction rates of adsorptive solute transport in soils? Demonstration with pore-scale modelling, Adv. Water Resour., 31(3), 425-437.
36. Zhou, L. Z., and H. M. Selim (2001), Solute transport in layered soils: Nonlinear and kinetic reactivity, Soil Sci. Soc. Am. J., 65(4), 1056-1064.