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Volumn 35, Issue 12, 1999, Pages 3649-3662

A finite cell method for simulating the mass transport process in porous media

Author keywords

[No Author keywords available]

Indexed keywords

MASS TRANSFER; POROUS MEDIUM; TRANSPORT SYSTEM;

EID: 0033237273     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900187     Document Type: Article
Times cited : (17)

References (49)
  • 2
    • 0028973880 scopus 로고
    • Transport of soil bacteria controlled by density-dependent sorption kinetics
    • Bengtsson, G., and R. Lindqvist, Transport of soil bacteria controlled by density-dependent sorption kinetics, Water Resour. Res., 31(5), 1247-1256, 1995.
    • (1995) Water Resour. Res. , vol.31 , Issue.5 , pp. 1247-1256
    • Bengtsson, G.1    Lindqvist, R.2
  • 3
    • 0029661820 scopus 로고    scopus 로고
    • Plume development of a nonlinearly adsorbing solute in heterogeneous porous formations
    • Bosma, W. J. P., S. E. A. T. M. van der Zee, and C. J. van Duijn, Plume development of a nonlinearly adsorbing solute in heterogeneous porous formations, Water Resour. Res., 32(6), 1569-1584, 1996.
    • (1996) Water Resour. Res. , vol.32 , Issue.6 , pp. 1569-1584
    • Bosma, W.J.P.1    Van Der Zee, S.E.A.T.M.2    Van Duijn, C.J.3
  • 4
    • 0024472256 scopus 로고
    • Contaminant transport and biodegradation, 1, a numerical model for reactive transport in porous media
    • Celia, M. A., J. S. Kindred, and I. Herrera, Contaminant transport and biodegradation, 1, A numerical model for reactive transport in porous media, Water Resour. Res., 25(6), 1141-1148, 1989.
    • (1989) Water Resour. Res. , vol.25 , Issue.6 , pp. 1141-1148
    • Celia, M.A.1    Kindred, J.S.2    Herrera, I.3
  • 5
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-dispersion equation
    • Celia, M. A., T. F. Russell, I. Herrera, and R. E. Ewing, An Eulerian-Lagrangian localized adjoint method for the advection-dispersion equation, Adv. Water Resour., 13, 187-206, 1990.
    • (1990) Adv. Water Resour. , vol.13 , pp. 187-206
    • Celia, M.A.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 6
    • 0021217942 scopus 로고
    • Eulerian-Lagrangian solution of the convection-dispersion equation in natural coordinates
    • Cheng, R. T., V. Casulli, and S. N. Milford, Eulerian-Lagrangian solution of the convection-dispersion equation in natural coordinates, Water Resour. Res., 20(7), 944-952, 1984.
    • (1984) Water Resour. Res. , vol.20 , Issue.7 , pp. 944-952
    • Cheng, R.T.1    Casulli, V.2    Milford, S.N.3
  • 7
    • 0030821625 scopus 로고    scopus 로고
    • Transport of non-volatile contaminant in unsaturated porous media in presence of colloids
    • Corapcioglu, M. Y., and H. Choi, Transport of non-volatile contaminant in unsaturated porous media in presence of colloids, J. Contam. Hydrol., 25, 299-324, 1997.
    • (1997) J. Contam. Hydrol. , vol.25 , pp. 299-324
    • Corapcioglu, M.Y.1    Choi, H.2
  • 8
    • 0022252804 scopus 로고
    • Microbial transport in soils and groundwater: A numerical model
    • Corapcioglu, M. Y., and A. Haridas, Microbial transport in soils and groundwater: A numerical model, Adv. Water Resour., 8, 188-200, 1985.
    • (1985) Adv. Water Resour. , vol.8 , pp. 188-200
    • Corapcioglu, M.Y.1    Haridas, A.2
  • 9
    • 0027789837 scopus 로고
    • Colloid-facilitated groundwater contaminant transport
    • Corapcioglu, M. Y., and S. Jiang, Colloid-facilitated groundwater contaminant transport, Water Resour. Res., 29(7), 2215-2226, 1993.
    • (1993) Water Resour. Res. , vol.29 , Issue.7 , pp. 2215-2226
    • Corapcioglu, M.Y.1    Jiang, S.2
  • 11
    • 0027835586 scopus 로고
    • A new algorithm for representing transport in porous media in one dimension, including convection, dispersion, and interaction with the immobile phase with first-order kinetics
    • Delay, F., M. Dzikowski, and G. de Marsily, A new algorithm for representing transport in porous media in one dimension, including convection, dispersion, and interaction with the immobile phase with first-order kinetics, Math. Geol., 25(6), 689-712, 1993.
    • (1993) Math. Geol. , vol.25 , Issue.6 , pp. 689-712
    • Delay, F.1    Dzikowski, M.2    De Marsily, G.3
  • 12
    • 0029656603 scopus 로고    scopus 로고
    • Transport in a 2-D saturated porous medium: A new method for particle tracking
    • Delay, F., H. Housset-Resche, G. Porel, and G. de Marsily, Transport in a 2-D saturated porous medium: A new method for particle tracking, Math. Geol., 28(1), 45-71, 1996.
    • (1996) Math. Geol. , vol.28 , Issue.1 , pp. 45-71
    • Delay, F.1    Housset-Resche, H.2    Porel, G.3    De Marsily, G.4
  • 14
    • 0001235787 scopus 로고
    • Numerical methods for convection dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • Douglass, J., Jr., and T. F. Russell, Numerical methods for convection dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal., 19(5), 871-885, 1982.
    • (1982) SIAM J. Numer. Anal. , vol.19 , Issue.5 , pp. 871-885
    • Douglass J., Jr.1    Russell, T.F.2
  • 15
    • 0027789834 scopus 로고
    • A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
    • Healy, R. W., and T. F. Russell, A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation, Water Resour. Res., 29(7), 2399-2413, 1993.
    • (1993) Water Resour. Res. , vol.29 , Issue.7 , pp. 2399-2413
    • Healy, R.W.1    Russell, T.F.2
  • 16
    • 84985360149 scopus 로고
    • Unified approach to numerical methods, 2, Finite element, boundary elements, and their coupling
    • Herrera, I., Unified approach to numerical methods, 2, Finite element, boundary elements, and their coupling, Numer. Methods for Partial Differ. Equations, 1(3), 159-186, 1985.
    • (1985) Numer. Methods for Partial Differ. Equations , vol.1 , Issue.3 , pp. 159-186
    • Herrera, I.1
  • 17
    • 0001264289 scopus 로고
    • Bacterial transport in porous media: Evaluation of model using laboratory observations
    • Hornberger, G. M., A. L. Mills, and J. S. Herman, Bacterial transport in porous media: Evaluation of model using laboratory observations, Water Resour. Res., 28(3), 915-938, 1992.
    • (1992) Water Resour. Res. , vol.28 , Issue.3 , pp. 915-938
    • Hornberger, G.M.1    Mills, A.L.2    Herman, J.S.3
  • 19
    • 0029520237 scopus 로고
    • Colloid-facilitated contaminant transport in discretely fractured porous media, 1, Numerical formulation and sensitivity analysis
    • Ibaraki, M., and E. A. Sudicky, Colloid-facilitated contaminant transport in discretely fractured porous media, 1, Numerical formulation and sensitivity analysis, Water Resour. Res., 31(12), 2961-2970, 1995.
    • (1995) Water Resour. Res. , vol.31 , Issue.12 , pp. 2961-2970
    • Ibaraki, M.1    Sudicky, E.A.2
  • 20
    • 0030429431 scopus 로고    scopus 로고
    • Colloid transport in geochemically heterogeneous porous media: Modeling and measurements
    • Johnson, P. R., N. Sun, and M. Elimelech, Colloid transport in geochemically heterogeneous porous media: Modeling and measurements, Environ. Sci. Technol., 30(11), 3284-3293, 1996.
    • (1996) Environ. Sci. Technol. , vol.30 , Issue.11 , pp. 3284-3293
    • Johnson, P.R.1    Sun, N.2    Elimelech, M.3
  • 22
    • 0029738141 scopus 로고    scopus 로고
    • A kinetic approach to modeling mobile bacteria-facilitated groundwater contaminant transport
    • Kim, S., and M. Y. Corapcioglu, A kinetic approach to modeling mobile bacteria-facilitated groundwater contaminant transport, Water Resour. Res., 32(2), 321-332, 1996.
    • (1996) Water Resour. Res. , vol.32 , Issue.2 , pp. 321-332
    • Kim, S.1    Corapcioglu, M.Y.2
  • 23
    • 0001020008 scopus 로고
    • The random walk method in pollutant transport simulation
    • edited by E. Custidio, A. Guigui, and J. P. Lobo Ferreria, pp. 227-246, D. Reidel, Norwell, Mass.
    • Kinzelbach, W., The random walk method in pollutant transport simulation, in Groundwater Flow and Quality Modeling, NATO ASI Ser., Ser. C, Math. Phys. Sci., vol. 224, edited by E. Custidio, A. Guigui, and J. P. Lobo Ferreria, pp. 227-246, D. Reidel, Norwell, Mass., 1988.
    • (1988) Groundwater Flow and Quality Modeling, NATO ASI Ser., Ser. C, Math. Phys. Sci. , vol.224
    • Kinzelbach, W.1
  • 25
    • 0029656620 scopus 로고    scopus 로고
    • Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods
    • LaBolle, E. M., G. E. Fogg, and A. F. B. Tompson, Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods, Water Resour. Res., J2(3), 583-594, 1996.
    • (1996) Water Resour. Res. , vol.J2 , Issue.3 , pp. 583-594
    • LaBolle, E.M.1    Fogg, G.E.2    Tompson, A.F.B.3
  • 26
    • 0003896888 scopus 로고
    • Mathematics of adsorption in beds, VI, the effect of longitudinal diffusion in ion exchange and Chromatographic columns
    • Lapidus, L., and N. R. Amundson, Mathematics of adsorption in beds, VI, The effect of longitudinal diffusion in ion exchange and Chromatographic columns, J. Phys. Chem., 56, 984-988, 1952.
    • (1952) J. Phys. Chem. , vol.56 , pp. 984-988
    • Lapidus, L.1    Amundson, N.R.2
  • 27
    • 0018677315 scopus 로고
    • A survey of finite differences of opinion on numerical modeling of the incomprehensible defective confusion equation
    • edited by T. J. R. Hughes, Am. Soc, of Mech. Eng., New York
    • Leonard, B. P., A survey of finite differences of opinion on numerical modeling of the incomprehensible defective confusion equation, in Finite Element Methods for Convection Dominated Flows, Am. Mech. Div. vol. 34, edited by T. J. R. Hughes, Am. Soc, of Mech. Eng., New York, 1979.
    • (1979) Finite Element Methods for Convection Dominated Flows, Am. Mech. Div. , vol.34
    • Leonard, B.P.1
  • 28
    • 84946380112 scopus 로고
    • Colloids in groundwater and their influence on migration of trace elements and radionuclides
    • Lieser, K. H., A. Ament, R. Hill, R. N. Singh, U. Stingl, and B. Thybusch, Colloids in groundwater and their influence on migration of trace elements and radionuclides, Radiochim. Acta, 49, 83-100, 1990.
    • (1990) Radiochim. Acta , vol.49 , pp. 83-100
    • Lieser, K.H.1    Ament, A.2    Hill, R.3    Singh, R.N.4    Stingl, U.5    Thybusch, B.6
  • 29
    • 0028666574 scopus 로고
    • A kinetic model for cell density dependent bacterial transport in porous media
    • Lindqvist, R., J. S. Cho, and C. G. Enfield, A kinetic model for cell density dependent bacterial transport in porous media, Water Resour. Res., 30(12), 3291-3299, 1994.
    • (1994) Water Resour. Res. , vol.30 , Issue.12 , pp. 3291-3299
    • Lindqvist, R.1    Cho, J.S.2    Enfield, C.G.3
  • 31
    • 0021377270 scopus 로고
    • Adaptive Eulerian-Lagrangian finite element method for advection-dispersion
    • Neuman, S. P., Adaptive Eulerian-Lagrangian finite element method for advection-dispersion, Int. J. Numer. Methods Eng., 20, 321-337, 1984.
    • (1984) Int. J. Numer. Methods Eng. , vol.20 , pp. 321-337
    • Neuman, S.P.1
  • 32
    • 0019747304 scopus 로고
    • Highly efficient, oscillation-free solution of the transport equation over long times and spaces
    • O'Neill, K., Highly efficient, oscillation-free solution of the transport equation over long times and spaces, Water Resour. Res., 17(6), 1665-1675, 1981.
    • (1981) Water Resour. Res. , vol.17 , Issue.6 , pp. 1665-1675
    • O'Neill, K.1
  • 33
    • 0001218391 scopus 로고
    • A numerical technique for calculating the transient position of the saltwater front
    • Pinder, G. F., and H. H. Cooper, A numerical technique for calculating the transient position of the saltwater front, Water Resour. Res., 6(3), 875-882, 1970.
    • (1970) Water Resour. Res. , vol.6 , Issue.3 , pp. 875-882
    • Pinder, G.F.1    Cooper, H.H.2
  • 34
    • 0019756262 scopus 로고
    • A 'random-walk' solute transport model for selected groundwater quality evaluations
    • Ill. Dep. of Energy and Natl. Resour., Champaign
    • Prickett, T. A., T. G. Naymik, and C. G. Lonnguist, A 'random-walk' solute transport model for selected groundwater quality evaluations, ISWS/BUL-65/81, Bull. 65, Ill. Dep. of Energy and Natl. Resour., Champaign, 1981.
    • (1981) ISWS/BUL-65/81, Bull. , vol.65
    • Prickett, T.A.1    Naymik, T.G.2    Lonnguist, C.G.3
  • 36
    • 0028591502 scopus 로고
    • First- and second-order kinetics approaches for modeling the transport of colloidal particles in porous media
    • Saiers, J., and G. M. Hornberger, First- and second-order kinetics approaches for modeling the transport of colloidal particles in porous media, Water Resour. Res., 30(9), 2499-2506, 1994.
    • (1994) Water Resour. Res. , vol.30 , Issue.9 , pp. 2499-2506
    • Saiers, J.1    Hornberger, G.M.2
  • 37
    • 0029413119 scopus 로고
    • Analytical models for one-dimensional virus transport in saturated porous media
    • Sim, Y., and C. V. Chrysikopoulos, Analytical models for one-dimensional virus transport in saturated porous media, Water Resour. Res., 31(5), 1429-1437, 1995.
    • (1995) Water Resour. Res. , vol.31 , Issue.5 , pp. 1429-1437
    • Sim, Y.1    Chrysikopoulos, C.V.2
  • 39
    • 0020969743 scopus 로고
    • A proposed upstream weight numerical method for simulating pollutant transport in groundwater
    • Sun, N.-Z., and W. W.-G. Yeh, A proposed upstream weight numerical method for simulating pollutant transport in groundwater. Water Resour. Res., 19(6), 1489-1500, 1983.
    • (1983) Water Resour. Res. , vol.19 , Issue.6 , pp. 1489-1500
    • Sun, N.-Z.1    Yeh, W.W.-G.2
  • 40
    • 0028159652 scopus 로고
    • Transport of bacteria in an aquifer sand: Experiments and model simulations
    • Tan, Y., J. T. Gannon, P. Baveye, and M. Alexander, Transport of bacteria in an aquifer sand: Experiments and model simulations, Water Resour. Res., 30(12), 3243-3252, 1994.
    • (1994) Water Resour. Res. , vol.30 , Issue.12 , pp. 3243-3252
    • Tan, Y.1    Gannon, J.T.2    Baveye, P.3    Alexander, M.4
  • 41
    • 0027867778 scopus 로고
    • Numerical simulation of chemical migration in physically and chemically heterogeneous porous media
    • Tompson, A. F. B., Numerical simulation of chemical migration in physically and chemically heterogeneous porous media, Water Resour. Res., 29(11), 3709-3726, 1993.
    • (1993) Water Resour. Res. , vol.29 , Issue.11 , pp. 3709-3726
    • Tompson, A.F.B.1
  • 42
    • 0026474511 scopus 로고
    • Particle-grid methods for reacting flows in porous media with application to Fisher's equation
    • Tompson, A. F. B., and D. E. Dougherty, Particle-grid methods for reacting flows in porous media with application to Fisher's equation. Appl. Math. Model., 16, 374-383, 1992.
    • (1992) Appl. Math. Model. , vol.16 , pp. 374-383
    • Tompson, A.F.B.1    Dougherty, D.E.2
  • 43
    • 0025624804 scopus 로고
    • Numerical simulation of solute transport in three-dimensional randomly heterogeneous porous media
    • Tompson, A. F. B., and L. W. Gelhar, Numerical simulation of solute transport in three-dimensional randomly heterogeneous porous media, Water Resour. Res., 26(10), 2541-2562, 1990.
    • (1990) Water Resour. Res. , vol.26 , Issue.10 , pp. 2541-2562
    • Tompson, A.F.B.1    Gelhar, L.W.2
  • 44
    • 0039264480 scopus 로고
    • A random-walk method for simulation of macrodispersion in a stratified aquifer: I.U.G.G
    • I.A.H.S.
    • Uffink, G. J. M., A random-walk method for simulation of macrodispersion in a stratified aquifer: I.U.G.G. 18th General Assembly Proceedings of the Hamburg Symposium, I.A.H.S., vol 65, 26-34, 1985.
    • (1985) 18th General Assembly Proceedings of the Hamburg Symposium , vol.65 , pp. 26-34
    • Uffink, G.J.M.1
  • 45
    • 0001620389 scopus 로고
    • Modeling of solute transport with the random walk method
    • Groundwater Flow and Quality Modeling, edited by E. Custidio, A. Guigui, and J. P. Lobo Ferreria, D. Reidel, Norwell, Mass.
    • Uffink, G. J. M., Modeling of solute transport with the random walk method, in Groundwater Flow and Quality Modeling, edited by E. Custidio, A. Guigui, and J. P. Lobo Ferreria, NATO ASI Ser., Ser. C. Math. Phys. Sci., vol. 224, 247-265, D. Reidel, Norwell, Mass., 1988.
    • (1988) NATO ASI Ser., Ser. C. Math. Phys. Sci. , vol.224 , pp. 247-265
    • Uffink, G.J.M.1
  • 46
    • 0030613019 scopus 로고    scopus 로고
    • Assessment of the effect of kinetics on colloid facilitated radionuclide transport in porous media
    • van de Weerd H., and A. Leijnse, Assessment of the effect of kinetics on colloid facilitated radionuclide transport in porous media, J. Contam. Hydrol., 26, 245-256, 1997.
    • (1997) J. Contam. Hydrol. , vol.26 , pp. 245-256
    • Van De Weerd, H.1    Leijnse, A.2
  • 47
    • 0024053251 scopus 로고
    • The reactor accident at Chernobyl: A possibility to test colloid-controlled transport of radionuclides in a shallow aquifer
    • van Gunten, J. R., V. E. Weber, and U. Krahenbuhl, The reactor accident at Chernobyl: A possibility to test colloid-controlled transport of radionuclides in a shallow aquifer, J. Contam. Hydrol., 2, 237-247, 1988.
    • (1988) J. Contam. Hydrol. , vol.2 , pp. 237-247
    • Van Gunten, J.R.1    Weber, V.E.2    Krahenbuhl, U.3
  • 48
    • 0025680793 scopus 로고
    • A Lagrangian-Eularian method with zoomable hidden fine-mesh approach to solving advection-dispersion equations
    • Yeh, G. T., A Lagrangian-Eularian method with zoomable hidden fine-mesh approach to solving advection-dispersion equations, Water Resour. Res., 26(6), 1133-1144, 1990.
    • (1990) Water Resour. Res. , vol.26 , Issue.6 , pp. 1133-1144
    • Yeh, G.T.1
  • 49
    • 0040449189 scopus 로고
    • Finite element methods in thermal problems
    • edited by R. W. Lewis, K. Morgon, and O. C. Zienkiewicz, John Wiley, New York
    • Zienkiewitz, O. C., Finite element methods in thermal problems, in Numerical Methods in Heat Transfer, edited by R. W. Lewis, K. Morgon, and O. C. Zienkiewicz, John Wiley, New York, 1981.
    • (1981) Numerical Methods in Heat Transfer
    • Zienkiewitz, O.C.1


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