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Volumn 46, Issue 7, 2010, Pages

Macroscale lattice-Boltzmann methods for low Peclet number solute and heat transport in heterogeneous porous media

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; DISPERSIONS; ELECTROOSMOSIS; FINITE ELEMENT METHOD; GEOMETRY; GROUNDWATER; GROUNDWATER FLOW; HEAT TRANSFER; KINETIC THEORY; OPEN CHANNEL FLOW; POROUS MATERIALS;

EID: 78651517432     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1029/2009WR007895     Document Type: Article
Times cited : (41)

References (56)
  • 1
    • 14944361328 scopus 로고    scopus 로고
    • Dissolution of limestone fractures by cooling waters: Early development of hypogene karst systems
    • Andre, B. J., and H. Rajaram (2005), Dissolution of limestone fractures by cooling waters: Early development of hypogene karst systems, Water Resour. Res., 41, W01015, doi:10.1029/2004WR003331.
    • (2005) Water Resour. Res. , vol.41
    • Andre, B.J.1    Rajaram, H.2
  • 2
    • 0025205395 scopus 로고
    • Kinetically influenced terms for solute transport affected by heterogeneous and homogeneous classical reactions
    • Bahr, J. M. (1990), Kinetically influenced terms for solute transport affected by heterogeneous and homogeneous classical reactions, Water Resour. Res., 26(1), 21–34.
    • (1990) Water Resour. Res. , vol.26 , Issue.1 , pp. 21-34
    • Bahr, J.M.1
  • 3
    • 77951435761 scopus 로고    scopus 로고
    • Accelerating lattice Boltzmann fluid flow simulations using graphics processors
    • paper presented at, Int. Assoc. for Comput. and Commun., Vienna
    • Bailey, P., J. Myre, S. D. C. Walsh, M. O. Saar, and D. J. Lilja (2009), Accelerating lattice Boltzmann fluid flow simulations using graphics processors, paper presented at International Conference on Parallel Processing, Int. Assoc. for Comput. and Commun., Vienna.
    • (2009) International Conference on Parallel Processing
    • Bailey, P.1    Myre, J.2    Walsh, S.D.C.3    Saar, M.O.4    Lilja, D.J.5
  • 4
    • 60949093952 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of dispersion in two-dimensional tidal flows
    • Banda, M. K., M. Seaid, and G. Thomas (2008), Lattice Boltzmann simulation of dispersion in two-dimensional tidal flows, Inte. J. Numer. Methods Eng., 77, 878–900.
    • (2008) Inte. J. Numer. Methods Eng. , vol.77 , pp. 878-900
    • Banda, M.K.1    Seaid, M.2    Thomas, G.3
  • 5
    • 0024849895 scopus 로고
    • A generalised two-dimensional analytical solution for hydrodynamic dispersion in bounded media with the first-type boundary conditions at the source
    • Batu, V. (1989), A generalised two-dimensional analytical solution for hydrodynamic dispersion in bounded media with the first-type boundary conditions at the source, Water Resour. Res., 25, 1125–1132.
    • (1989) Water Resour. Res. , vol.25 , pp. 1125-1132
    • Batu, V.1
  • 8
    • 0000229982 scopus 로고
    • Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen
    • Boltzmann, L. (1872), Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen, Wien. Ber., 66, 275–70.
    • (1872) Wien. Ber. , vol.66 , pp. 275-270
    • Boltzmann, L.1
  • 10
    • 0002428144 scopus 로고    scopus 로고
    • Physical symmetry and lattice symmetry in the lattice Boltzmann method
    • Cao, N., S. Chen, S. Jin, and D. Martínez (1997), Physical symmetry and lattice symmetry in the lattice Boltzmann method, Phys. Rev. E, 55(1), R21–R24.
    • (1997) Phys. Rev. E , vol.55 , Issue.1 , pp. R21-R24
    • Cao, N.1    Chen, S.2    Jin, S.3    Martínez, D.4
  • 11
    • 0001347440 scopus 로고
    • On the law of distribution of molecular velocities, and on the theory of viscosity and thermal conduction, in a non-uniform simple monatomic gas
    • Chapman, S. (1916), On the law of distribution of molecular velocities, and on the theory of viscosity and thermal conduction, in a non-uniform simple monatomic gas, Philos. Trans. R. Soc. London, Ser. A, 216, 279–348.
    • (1916) Philos. Trans. R. Soc. London, Ser. A , vol.216 , pp. 279-348
    • Chapman, S.1
  • 12
    • 0002860196 scopus 로고
    • On the kinetic theory of a gas. Part II: A composite monatomic gas: Diffusion, viscosity, and thermal conduction
    • Chapman, S. (1918), On the kinetic theory of a gas. Part II: A composite monatomic gas: Diffusion, viscosity, and thermal conduction, Philos. Trans. R. Soc. London, Ser. A, 217, 115–197.
    • (1918) Philos. Trans. R. Soc. London, Ser. A , vol.217 , pp. 115-197
    • Chapman, S.1
  • 14
    • 72149114308 scopus 로고    scopus 로고
    • A dimensionless number describing the effects of recharge and geometry on discharge from simple karst aquifers
    • Covington, M. D., C. M. Wicks, and M. O. Saar (2009), A dimensionless number describing the effects of recharge and geometry on discharge from simple karst aquifers, Water Resour. Res., 45, W11410, doi:10.1029/2009WR008004.
    • (2009) Water Resour. Res. , vol.45
    • Covington, M.D.1    Wicks, C.M.2    Saar, M.O.3
  • 15
    • 0000050410 scopus 로고    scopus 로고
    • Lattice Boltzmann scheme with real numbered solid density for the simulation of flow in porous media
    • a)
    • Dardis, O., and J. McCloskey (1998a), Lattice Boltzmann scheme with real numbered solid density for the simulation of flow in porous media, Phys. Rev. E, 57(4), 4834–4837.
    • (1998) Phys. Rev. E , vol.57 , Issue.4 , pp. 4834-4837
    • Dardis, O.1    McCloskey, J.2
  • 16
    • 0032075922 scopus 로고    scopus 로고
    • Permeability porosity relationships from numerical simulations of fluid flow
    • b)
    • Dardis, O., and J. McCloskey (1998b), Permeability porosity relationships from numerical simulations of fluid flow, Geophys. Res. Lett., 25, 1471–1474.
    • (1998) Geophys. Res. Lett. , vol.25 , pp. 1471-1474
    • Dardis, O.1    McCloskey, J.2
  • 17
    • 33645859586 scopus 로고
    • Lattice Boltzmann computations for reaction-diffusion equations
    • Dawson, S. P., S. Chen, and G. D. Doolen (1993), Lattice Boltzmann computations for reaction-diffusion equations, J. Chem. Phys., 98(2), 1514–1523.
    • (1993) J. Chem. Phys. , vol.98 , Issue.2 , pp. 1514-1523
    • Dawson, S.P.1    Chen, S.2    Doolen, G.D.3
  • 20
    • 0029412545 scopus 로고
    • Lattice-Boltzmann simulations of flow through Fontainebleau sandstone
    • Ferréol, B., and D. H. Rothman (1995), Lattice-Boltzmann simulations of flow through Fontainebleau sandstone, Transp. Porous Media, 20(1), 3–20.
    • (1995) Transp. Porous Media , vol.20 , Issue.1 , pp. 3-20
    • Ferréol, B.1    Rothman, D.H.2
  • 21
    • 0032216325 scopus 로고    scopus 로고
    • The kinetics of calcite dissolution in acetic acid solutions
    • Fredd, C. N., and H. S. Fogler (1998), The kinetics of calcite dissolution in acetic acid solutions, Chem. Eng. Sci., 53(22), 3863–3874.
    • (1998) Chem. Eng. Sci. , vol.53 , Issue.22 , pp. 3863-3874
    • Fredd, C.N.1    Fogler, H.S.2
  • 22
    • 33646346849 scopus 로고    scopus 로고
    • Predicting macroscopic transport properties using microscopic image data
    • Fredrich, J. T., A. A. DiGiovanni, and D. R. Noble (2006), Predicting macroscopic transport properties using microscopic image data, J. Geophys. Res., 111, B03201, doi:10.1029/2005JB003774.
    • (2006) J. Geophys. Res. , vol.111
    • Fredrich, J.T.1    DiGiovanni, A.A.2    Noble, D.R.3
  • 23
    • 0032252318 scopus 로고    scopus 로고
    • Lattice-Boltzmann method for macroscopic porous media modeling
    • Freed, D. M. (1998), Lattice-Boltzmann method for macroscopic porous media modeling, Int. J. Mod. Phys. C, 9(8), 1491–1503.
    • (1998) Int. J. Mod. Phys. C , vol.9 , Issue.8 , pp. 1491-1503
    • Freed, D.M.1
  • 24
    • 26844449866 scopus 로고    scopus 로고
    • Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation
    • Ginzburg, I. (2005), Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation, Adv. Water Resour., 28, 1171–1195.
    • (2005) Adv. Water Resour. , vol.28 , pp. 1171-1195
    • Ginzburg, I.1
  • 25
    • 0028668874 scopus 로고
    • Early development of karst systems: 1. Preferential flow path enlargement under laminar flow
    • Groves, C. G., and A. D. Howard (1994), Early development of karst systems: 1. Preferential flow path enlargement under laminar flow, Water Resour. Res., 30(10), 2837–2846.
    • (1994) Water Resour. Res. , vol.30 , Issue.10 , pp. 2837-2846
    • Groves, C.G.1    Howard, A.D.2
  • 26
    • 85037243088 scopus 로고    scopus 로고
    • Explicit finite-difference lattice Boltzmann method for curvilinear coordinates
    • 066709
    • Guo, Z., and T. S. Zhao (2003), Explicit finite-difference lattice Boltzmann method for curvilinear coordinates, Phys. Rev. E, 67(6), 066709.
    • (2003) Phys. Rev. E , vol.67 , Issue.6
    • Guo, Z.1    Zhao, T.S.2
  • 27
    • 0028975044 scopus 로고
    • Early development of karst systems: 2. Turbulent flow
    • Howard, A. D., and C. G. Groves (1995), Early development of karst systems: 2. Turbulent flow, Water Resour. Res., 31(1), 19–26.
    • (1995) Water Resour. Res. , vol.31 , Issue.1 , pp. 19-26
    • Howard, A.D.1    Groves, C.G.2
  • 29
    • 41349090328 scopus 로고    scopus 로고
    • Unified lattice Boltzmann method for flow in multiscale porous media
    • a),,), 056307
    • Kang, Q., D. Zhang, and S. Chen (2002a), Unified lattice Boltzmann method for flow in multiscale porous media, Phys. Rev. E, 66(5), 056307.
    • (2002) Phys. Rev. E , vol.66 , Issue.5
    • Kang, Q.1    Zhang, D.2    Chen, S.3
  • 30
    • 41349089277 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of chemical dissolution in porous media
    • b),,), 036318
    • Kang, Q., D. Zhang, S. Chen, and X. He (2002b), Lattice Boltzmann simulation of chemical dissolution in porous media, Phys. Rev. E, 65(3), 036318.
    • (2002) Phys. Rev. E , vol.65 , Issue.3
    • Kang, Q.1    Zhang, D.2    Chen, S.3    He, X.4
  • 31
    • 0037335338 scopus 로고    scopus 로고
    • An Eulerian description of the streaming process in the lattice Boltzmann equation
    • Lee, T., and C.-L. Lin (2003), An Eulerian description of the streaming process in the lattice Boltzmann equation, J. Comput. Phys., 185(2), 445–471.
    • (2003) J. Comput. Phys. , vol.185 , Issue.2 , pp. 445-471
    • Lee, T.1    Lin, C.-L.2
  • 32
    • 28844509238 scopus 로고    scopus 로고
    • Least-squares finite-element scheme for the lattice Boltzmann method on an unstructured mesh
    • 046711
    • Li, Y., E. J. LeBoeuf, and P. K. Basu (2005), Least-squares finite-element scheme for the lattice Boltzmann method on an unstructured mesh, Phys. Rev. E, 72(4), 046711.
    • (2005) Phys. Rev. E , vol.72 , Issue.4
    • Li, Y.1    LeBoeuf, E.J.2    Basu, P.K.3
  • 33
    • 0031837941 scopus 로고    scopus 로고
    • Simulation of flow through bead packs using the lattice Boltzmann method
    • Maier, R. S., D. M. Kroll, Y. E. Kutsovsky, H. T. Davis, and R. S. Bernard (1998), Simulation of flow through bead packs using the lattice Boltzmann method, Phys. Fluids, 10(1), 60–74.
    • (1998) Phys. Fluids , vol.10 , Issue.1 , pp. 60-74
    • Maier, R.S.1    Kroll, D.M.2    Kutsovsky, Y.E.3    Davis, H.T.4    Bernard, R.S.5
  • 34
    • 84956091930 scopus 로고
    • Exponential tails in two-dimensional Rayleigh-Benard convection
    • Massaioli, F., R. Benzi, and S. Succi (1993), Exponential tails in two-dimensional Rayleigh-Benard convection, Europhys. Lett., 21, 305–310.
    • (1993) Europhys. Lett. , vol.21 , pp. 305-310
    • Massaioli, F.1    Benzi, R.2    Succi, S.3
  • 35
    • 84879879529 scopus 로고
    • Origin and morphology of limestone caves
    • Palmer, A. N. (1991), Origin and morphology of limestone caves, Geol. Soc. Am. Bull., 103(1), 1–21.
    • (1991) Geol. Soc. Am. Bull. , vol.103 , Issue.1 , pp. 1-21
    • Palmer, A.N.1
  • 36
    • 1642271800 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulation of two-phase flow in porous media
    • 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.
    • (2004) Water Resour. Res. , vol.40
    • Pan, C.1    Hilpert, M.2    Miller, C.T.3
  • 37
    • 0002524849 scopus 로고
    • A review of diffusion and dispersion in porous media
    • Perkins, T., and O. Johnston (1963), A review of diffusion and dispersion in porous media, Soc. Pet. Eng. J., 3, 70–83.
    • (1963) Soc. Pet. Eng. J. , vol.3 , pp. 70-83
    • Perkins, T.1    Johnston, O.2
  • 38
    • 84956111432 scopus 로고
    • Lattice BGK models for Navier-Stokes equation
    • Qian, Y. H., D. D'Humières, and P. Lallemand (1992), Lattice BGK models for Navier-Stokes equation, Europhys. Lett., 17(6), 479–484.
    • (1992) Europhys. Lett. , vol.17 , Issue.6 , pp. 479-484
    • Qian, Y.H.1    D'Humières, D.2    Lallemand, P.3
  • 40
    • 3242789342 scopus 로고    scopus 로고
    • Depth dependence of permeability in the Oregon Cascades inferred from hydrogeologic, thermal, seismic, and magmatic modeling constraings
    • Saar, M. O., and M. Manga (2004), Depth dependence of permeability in the Oregon Cascades inferred from hydrogeologic, thermal, seismic, and magmatic modeling constraings, J. Geophys. Res., 109, B04204, doi:10.1029/2003JB002855.
    • (2004) J. Geophys. Res. , vol.109
    • Saar, M.O.1    Manga, M.2
  • 41
    • 0001478971 scopus 로고
    • Thermal conductivity of rocks from measurements on fragments and its application to heat-flow determinations
    • Sass, J. H., A. H. Lachenbruch, and R. J. Munroe (1971), Thermal conductivity of rocks from measurements on fragments and its application to heat-flow determinations, J. Geophys. Res., 76, 3391–3401.
    • (1971) J. Geophys. Res. , vol.76 , pp. 3391-3401
    • Sass, J.H.1    Lachenbruch, A.H.2    Munroe, R.J.3
  • 42
    • 38549159545 scopus 로고    scopus 로고
    • Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations
    • W12S06
    • Schaap, M. G., M. L. Porter, B. S. B. Christensen, and D. Wildenschild (2007), Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations, Water Resour. Res., 43, W12S06, doi:10.1029/2006WR005730.
    • (2007) Water Resour. Res. , vol.43
    • Schaap, M.G.1    Porter, M.L.2    Christensen, B.S.B.3    Wildenschild, D.4
  • 43
    • 0025591789 scopus 로고
    • A new kinetic approach to modeling water-rock interaction: The role of nucleation, precursors, and Ostwald ripening
    • Steefel, C. I., and P. V. Cappellen (1990), A new kinetic approach to modeling water-rock interaction: The role of nucleation, precursors, and Ostwald ripening, Geochim. Cosmochim. Acta, 54(10), 2657–2677.
    • (1990) Geochim. Cosmochim. Acta , vol.54 , Issue.10 , pp. 2657-2677
    • Steefel, C.I.1    Cappellen, P.V.2
  • 44
    • 0005429898 scopus 로고
    • Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere
    • Stefan, J. (1889), Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere, Sitzungsber. Oesterr. Akad. Wiss. Math. Naturwiss. Klasse, Abt. 2, 98, 965–983.
    • (1889) Sitzungsber. Oesterr. Akad. Wiss. Math. Naturwiss. Klasse, Abt. 2 , vol.98 , pp. 965-983
    • Stefan, J.1
  • 46
    • 84956119706 scopus 로고
    • Three-dimensional flows in complex geometries with the lattice Boltzmann method
    • Succi, S., E. Foti, and F. Higuera (1989), Three-dimensional flows in complex geometries with the lattice Boltzmann method, Europhys. Lett., 10(5), 433–438.
    • (1989) Europhys. Lett. , vol.10 , Issue.5 , pp. 433-438
    • Succi, S.1    Foti, E.2    Higuera, F.3
  • 49
    • 37649032633 scopus 로고    scopus 로고
    • Simulation of chemical erosion in rough fractures
    • 056311
    • Verberg, R., and A. J. C. Ladd (2002), Simulation of chemical erosion in rough fractures, Phys. Rev. E, 65(5), 056311.
    • (2002) Phys. Rev. E , vol.65 , Issue.5
    • Verberg, R.1    Ladd, A.J.C.2
  • 50
    • 28844506118 scopus 로고    scopus 로고
    • Lattice Boltzmann model for diffusion-controlled dissolution of solid structures in multicomponent liquids
    • 036308
    • Verhaeghe, F., S. Arnout, B. Blanpain, and P. Wollants (2005), Lattice Boltzmann model for diffusion-controlled dissolution of solid structures in multicomponent liquids, Phys. Rev. E, 72, 036308.
    • (2005) Phys. Rev. E , vol.72
    • Verhaeghe, F.1    Arnout, S.2    Blanpain, B.3    Wollants, P.4
  • 52
    • 64949173434 scopus 로고    scopus 로고
    • A new partial bounce back lattice-Boltzmann method for fluid flow through heterogeneous media
    • a)
    • Walsh, S. D. C., H. Burwinkle, and M. O. Saar (2009a), A new partial bounce back lattice-Boltzmann method for fluid flow through heterogeneous media, Comput. Geosci., 36(6), 1186–1193.
    • (2009) Comput. Geosci. , vol.36 , Issue.6 , pp. 1186-1193
    • Walsh, S.D.C.1    Burwinkle, H.2    Saar, M.O.3
  • 53
    • 70350202523 scopus 로고    scopus 로고
    • Accelerating geoscience and engineering system simulations on graphics hardware
    • b)
    • Walsh, S. D. C., M. O. Saar, P. Bailey, and D. J. Lilja (2009b), Accelerating geoscience and engineering system simulations on graphics hardware, Comput. Geosci., 35(12), 2353–2364.
    • (2009) Comput. Geosci. , vol.35 , Issue.12 , pp. 2353-2364
    • Walsh, S.D.C.1    Saar, M.O.2    Bailey, P.3    Lilja, D.J.4
  • 55
    • 18444364508 scopus 로고    scopus 로고
    • Mineral sequestration of carbon dioxide in a sandstone-shale system
    • Xu, T., J. A. Apps, and K. Pruess (2005), Mineral sequestration of carbon dioxide in a sandstone-shale system, Chem. Geol., 217(3–4), 295–318.
    • (2005) Chem. Geol. , vol.217 , Issue.3-4 , pp. 295-318
    • Xu, T.1    Apps, J.A.2    Pruess, K.3
  • 56
    • 0036147348 scopus 로고    scopus 로고
    • A lattice BGK model for advection and anisotropic dispersion equation
    • Zhang, X., A. G. Bengough, J. W. Crawford, and I. M. Young (2002), A lattice BGK model for advection and anisotropic dispersion equation, Adv. Water Resour., 25(1), 1–8.
    • (2002) Adv. Water Resour. , vol.25 , Issue.1 , pp. 1-8
    • Zhang, X.1    Bengough, A.G.2    Crawford, J.W.3    Young, I.M.4


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