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Volumn 19, Issue 5, 1996, Pages 297-315

Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive transport equations

Author keywords

Coupling; ELLAM; Linearization techniques; Nonlinearities; System of equations

Indexed keywords

BACTERIA (MICROORGANISMS);

EID: 0030265333     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/0309-1708(96)00006-1     Document Type: Article
Times cited : (19)

References (58)
  • 1
    • 0041673499 scopus 로고
    • A parallel multiphase numerical model for subsurface contaminant transport with biodegradation kinetics
    • Arbogast, T., Dawson, C. N. & Wheeler, M. F., A parallel multiphase numerical model for subsurface contaminant transport with biodegradation kinetics. Computational Methods in Water Resources X, (1994) 1499-1506.
    • (1994) Computational Methods in Water Resources X , pp. 1499-1506
    • Arbogast, T.1    Dawson, C.N.2    Wheeler, M.F.3
  • 2
    • 0001238717 scopus 로고
    • Bacterial degradation of crude oil: Comparison of field and experimental data
    • Baily, N. J. L., Jobson, A. M. & Rogers, M. A., Bacterial degradation of crude oil: Comparison of field and experimental data. Chem. Geol. 11 (1973) 203-21.
    • (1973) Chem. Geol. , vol.11 , pp. 203-221
    • Baily, N.J.L.1    Jobson, A.M.2    Rogers, M.A.3
  • 4
    • 0024785025 scopus 로고
    • An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers
    • Baveye, P. & Valocchi, A., An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers. Water Resour. Res., 25 (1989) 1413-21.
    • (1989) Water Resour. Res. , vol.25 , pp. 1413-1421
    • Baveye, P.1    Valocchi, A.2
  • 6
    • 0022900916 scopus 로고
    • Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation, 1. Theoretical development
    • Borden, R. C. & Bedient, P. B., Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation, 1. Theoretical development. Water Resour. Res., 22 (1986) 1973-82.
    • (1986) Water Resour. Res. , vol.22 , pp. 1973-1982
    • Borden, R.C.1    Bedient, P.B.2
  • 8
    • 0020611975 scopus 로고
    • Transformations of 1-and 2-carbon halogenated aliphatic organic compounds under methanogenic conditions
    • Bouwer, E. J. & McCarty, P. L., Transformations of 1-and 2-carbon halogenated aliphatic organic compounds under methanogenic conditions. Appl. Environ. Microbiol. 45 (1983) 1286-94.
    • (1983) Appl. Environ. Microbiol. , vol.45 , pp. 1286-1294
    • Bouwer, E.J.1    McCarty, P.L.2
  • 9
    • 0021461916 scopus 로고
    • Modeling of trace organics biotransformation in the subsurface
    • Bouwer, E. J. & McCarty, P. L., Modeling of trace organics biotransformation in the subsurface. Ground Water, 22 (1984) 433-40.
    • (1984) Ground Water , vol.22 , pp. 433-440
    • Bouwer, E.J.1    McCarty, P.L.2
  • 10
    • 0023258841 scopus 로고
    • Modeling of biological processes in the subsurface
    • Bouwer, E. J. & Cobb, G. D., Modeling of biological processes in the subsurface. Water Sci. Technol., 19 (1987) 769-79.
    • (1987) Water Sci. Technol. , vol.19 , pp. 769-779
    • Bouwer, E.J.1    Cobb, G.D.2
  • 13
    • 0024472256 scopus 로고
    • Contaminant transport and biodegradation 1. A numerical model for reactive transport in porous media
    • Celia, M. A., Kindred, J. S. & Herrera, I., Contaminant transport and biodegradation 1. A numerical model for reactive transport in porous media. Water Resour. Res., 25 (1989) 1141-8.
    • (1989) Water Resour. Res. , vol.25 , pp. 1141-1148
    • Celia, M.A.1    Kindred, J.S.2    Herrera, I.3
  • 14
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
    • Celia, M. A., Russell, T. F., Herrera, I. & Ewing, R. E., An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation. Adv. Water Res., 13 (1990) 187-206.
    • (1990) Adv. Water Res. , vol.13 , pp. 187-206
    • Celia, M.A.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 15
    • 0026624674 scopus 로고
    • Multiphase models of unsaturated flow: Approaches to the governing equations and numerical methods
    • Russell et al., eds. Boston: Computational Mechanics Publications
    • Celia, M. A. & Binning, P., Multiphase models of unsaturated flow: Approaches to the governing equations and numerical methods. Computational Methods in Water Resources (Russell et al., eds). Boston: Computational Mechanics Publications, 1992, pp. 257-272.
    • (1992) Computational Methods in Water Resources , pp. 257-272
    • Celia, M.A.1    Binning, P.2
  • 16
    • 0039973561 scopus 로고
    • The equation of groundwater flow in fixed and deforming coordinates
    • Cooper, H., The equation of groundwater flow in fixed and deforming coordinates. J. Geophys. Res. 71 (1966) 4783-90.
    • (1966) J. Geophys. Res. , vol.71 , pp. 4783-4790
    • Cooper, H.1
  • 17
    • 0021554041 scopus 로고    scopus 로고
    • Transport and fate of microorganisms in porous media: A theoretical investigation
    • Corapcioglu, M. Y. & Haridas, A., Transport and fate of microorganisms in porous media: a theoretical investigation. J. Hydrol. 82 149-69.
    • J. Hydrol. , vol.82 , pp. 149-169
    • Corapcioglu, M.Y.1    Haridas, A.2
  • 18
    • 0023089532 scopus 로고
    • Sulfate-reducing bacteria and their activities in oil production
    • January
    • Cord Ruvich, R., Kleinitz, W. & Widdel, F., Sulfate-reducing bacteria and their activities in oil production. J. Petrol. Technol., January (1987) 96-106.
    • (1987) J. Petrol. Technol. , pp. 96-106
    • Cord Ruvich, R.1    Kleinitz, W.2    Widdel, F.3
  • 19
    • 0029294340 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for a nonlinear convection-diffusion equation
    • Dahle, H. K., Ewing, R. E. & Russell, T. F., Eulerian-Lagrangian localized adjoint methods for a nonlinear convection-diffusion equation. Comp. Meth. Appl. Mech. Engrg, 122(3-4) (1995) 223-50.
    • (1995) Comp. Meth. Appl. Mech. Engrg , vol.122 , Issue.3-4 , pp. 223-250
    • Dahle, H.K.1    Ewing, R.E.2    Russell, T.F.3
  • 20
  • 22
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • Douglas, J. Jr. & Russell, T. F., 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 (1982) 871-85.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 871-885
    • Douglas J., Jr.1    Russell, T.F.2
  • 23
    • 0011994807 scopus 로고
    • Mathematics in reservoir simulation
    • Philadelphia: SIAM
    • Ewing, R. E. (ed.), Mathematics in reservoir simulation. Frontiers in Applied Mathematics. Philadelphia: SIAM, 1984.
    • (1984) Frontiers in Applied Mathematics
    • Ewing, R.E.1
  • 24
    • 0012086688 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method with exponential-along-characteristic test functions for variable-coefficient advective-diffusive-reactive equations
    • Choi et al. (eds). Taejon, Korea
    • Ewing, R. E. & Wang, H., An Eulerian-Lagrangian localized adjoint method with exponential-along-characteristic test functions for variable-coefficient advective-diffusive-reactive equations. Choi et al. (eds). Proceedings of KAIST Mathematical Workshop, Analysis and Geometry, 8, Taejon, Korea, 1993, pp. 77-91.
    • (1993) Proceedings of KAIST Mathematical Workshop, Analysis and Geometry , vol.8 , pp. 77-91
    • Ewing, R.E.1    Wang, H.2
  • 25
    • 0042030188 scopus 로고
    • A three-dimensional finite element simulation for transport of nuclear-waste contamination in porous media
    • Siriwardane and Zaman, eds. A. A. Balkema Publishers, Rotterdam, Netherlands, and Brookfield, USA
    • Ewing, R. E., Wang, H., Sharpley, R. C. & Celia, M. A., A three-dimensional finite element simulation for transport of nuclear-waste contamination in porous media (Siriwardane and Zaman, eds). Computer Methods and Advances in Geomechanics, IV, A. A. Balkema Publishers, Rotterdam, Netherlands, and Brookfield, USA, 1995, pp. 2673-9.
    • (1995) Computer Methods and Advances in Geomechanics , vol.4 , pp. 2673-2679
    • Ewing, R.E.1    Wang, H.2    Sharpley, R.C.3    Celia, M.A.4
  • 26
    • 0028381238 scopus 로고
    • Asymptotic profiles with finite mass in one-dimensional contaminant transport through porous media: The fact reaction case
    • Grundy, R. E., Van Duijn, C. J. & Dawson, C. N., Asymptotic profiles with finite mass in one-dimensional contaminant transport through porous media: The fact reaction case. Q. JI. Mech. appl. Math. 47(1) (1994).
    • (1994) Q. JI. Mech. Appl. Math. , vol.47 , Issue.1
    • Grundy, R.E.1    Van Duijn, C.J.2    Dawson, C.N.3
  • 27
    • 0021750215 scopus 로고
    • Effect of organic contamination upon microbial distributions and heterotrophic uptake in a Cape Cod. Mass. Aquifer
    • Harvey, R. W., Smith, R. L. & George, L., Effect of organic contamination upon microbial distributions and heterotrophic uptake in a Cape Cod. Mass. Aquifer. Appl. Environ. Microbiol., 48 (1984) 1197-1202.
    • (1984) Appl. Environ. Microbiol. , vol.48 , pp. 1197-1202
    • Harvey, R.W.1    Smith, R.L.2    George, L.3
  • 28
    • 0027789834 scopus 로고
    • A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
    • Healy, R. W. & Russell, R. F., A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation. Water Resour. Res., 29 (1993) 2399-2413.
    • (1993) Water Resour. Res. , vol.29 , pp. 2399-2413
    • Healy, R.W.1    Russell, R.F.2
  • 29
    • 84985386976 scopus 로고
    • The algebraic theory approach for ordinary differential equations: Highly accurate finite differences
    • Herrera, I., The algebraic theory approach for ordinary differential equations: highly accurate finite differences. Numerical Methods for PDEs, 3 (1987) 199-218.
    • (1987) Numerical Methods for PDEs , vol.3 , pp. 199-218
    • Herrera, I.1
  • 31
    • 0024783133 scopus 로고
    • Contaminant transport and biodegradation 2. Conceptual model and test simulations
    • Kindred, J. S. & Celia, M. A., Contaminant transport and biodegradation 2. Conceptual model and test simulations. Water Resour. Res., 25 (1989) 1149-59.
    • (1989) Water Resour. Res. , vol.25 , pp. 1149-1159
    • Kindred, J.S.1    Celia, M.A.2
  • 32
    • 84984082264 scopus 로고
    • Kinetics of microbial cell growth
    • Kono, T., Kinetics of microbial cell growth. Biotech. Bioengng., 10 (1968) 105-31.
    • (1968) Biotech. Bioengng. , vol.10 , pp. 105-131
    • Kono, T.1
  • 33
    • 0015129289 scopus 로고
    • Quantitative evaluation of numerical diffusion truncation error
    • Lantz, R. B., Quantitative evaluation of numerical diffusion truncation error. Soc. Petrol. Eng. J., 251 (1971) 315-20.
    • (1971) Soc. Petrol. Eng. J. , vol.251 , pp. 315-320
    • Lantz, R.B.1
  • 36
    • 0025226484 scopus 로고
    • Simulation of biodegradable organic contaminants in groundwater, 1. Numerical formulation in principle directions
    • MacQuarrie, K. T. B., Sudicky, I. A. & Frind, E. O., Simulation of biodegradable organic contaminants in groundwater, 1. Numerical formulation in principle directions. Water Resour. Res., 26 (1990) 107-222.
    • (1990) Water Resour. Res. , vol.26 , pp. 107-222
    • MacQuarrie, K.T.B.1    Sudicky, I.A.2    Frind, E.O.3
  • 37
    • 0025450784 scopus 로고
    • An electrochemical approach to oil reservoir souring
    • Marshland, S. D., Dawe, R. A. & Kelshall, G. H., An electrochemical approach to oil reservoir souring. Trans. IChemE, 68(A) (1990) 357-64.
    • (1990) Trans. IChemE , vol.68 , Issue.A , pp. 357-364
    • Marshland, S.D.1    Dawe, R.A.2    Kelshall, G.H.3
  • 38
    • 0022768504 scopus 로고
    • Simulations of microbial growth dynamics coupled to nutrient and oxygen transport in porous media
    • Molz, F. J., Widdowson, M. A. & Benefield, L. D., Simulations of microbial growth dynamics coupled to nutrient and oxygen transport in porous media. Water Resour. Res., 22 (1986) 1207-16.
    • (1986) Water Resour. Res. , vol.22 , pp. 1207-1216
    • Molz, F.J.1    Widdowson, M.A.2    Benefield, L.D.3
  • 43
    • 0043031862 scopus 로고
    • Theory and implementation for the sandia waste-isolation flow and transport model for fractured media (SWIFT) release 4.84
    • SAND RW
    • Reeves, M., Ward, D. S., Johns, N. D. & Cranwell, R. M., Theory and implementation for the Sandia waste-isolation flow and transport model for fractured media (SWIFT) Release 4.84. Sandia Report Nureg/CR-3328, SAND 83-1159, RW, 1986.
    • (1986) Sandia Report Nureg/CR-3328 , pp. 83-1159
    • Reeves, M.1    Ward, D.S.2    Johns, N.D.3    Cranwell, R.M.4
  • 45
    • 0002650114 scopus 로고
    • Finite element and finite difference methods for continuous flows in porous media
    • Ewing (ed.), SIAM, Philadelphia
    • Russell, T. F. & Wheeler, M. F., Finite element and finite difference methods for continuous flows in porous media. Ewing (ed.), The Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics, Vol. 1, SIAM, Philadelphia, 1983, pp. 35-106.
    • (1983) The Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics , vol.1 , pp. 35-106
    • Russell, T.F.1    Wheeler, M.F.2
  • 46
    • 0025551715 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods with variable coefficients in multiple dimensions
    • Gambolati et al. (ed.), Springer, Berlin
    • Russell, T. F. & Trujillo, R. V., Eulerian-Lagrangian localized adjoint methods with variable coefficients in multiple dimensions. Gambolati et al. (ed.), Computational Methods in Surface Hydrology, Springer, Berlin, 1990, pp. 357-63.
    • (1990) Computational Methods in Surface Hydrology , pp. 357-363
    • Russell, T.F.1    Trujillo, R.V.2
  • 47
    • 0019234985 scopus 로고
    • Trace organics biodegradation in aquifer recharge
    • Rittmann, B. E., McCarty, P. L. & Roberts, P. V., Trace organics biodegradation in aquifer recharge. Ground Water, 18 (1980) 236-43.
    • (1980) Ground Water , vol.18 , pp. 236-243
    • Rittmann, B.E.1    McCarty, P.L.2    Roberts, P.V.3
  • 50
    • 0020091391 scopus 로고
    • Modeling of leachate organic migration and attenuation in groundwater below sanitary landfills
    • Sykes, J. F., Soyupak, S. & Farquhar, G. J., Modeling of leachate organic migration and attenuation in groundwater below sanitary landfills. Water Resour. Res., 18 (1982) 135-45.
    • (1982) Water Resour. Res. , vol.18 , pp. 135-145
    • Sykes, J.F.1    Soyupak, S.2    Farquhar, G.J.3
  • 55
    • 0001479662 scopus 로고
    • An operator-splitting method for advection-diffusion-reaction problems
    • Whiteman (ed.) Academic Press
    • Wheeler, M. F. & Dawson, C. N., An operator-splitting method for advection-diffusion-reaction problems, Whiteman (ed.) MAFELAP Proceedings VI, Academic Press, 1988, pp. 463-482.
    • (1988) MAFELAP Proceedings VI , pp. 463-482
    • Wheeler, M.F.1    Dawson, C.N.2
  • 56
    • 0024219287 scopus 로고
    • A numerical transport model for oxygen- and nitrate-based respiration linked to substrate and nutrient availability in porous media
    • Widdowson, M. A., Molz, F. J. & Benefield, L. D., A numerical transport model for oxygen- and nitrate-based respiration linked to substrate and nutrient availability in porous media. Water Resour. Res., 24 (1988) 1553-65.
    • (1988) Water Resour. Res. , vol.24 , pp. 1553-1565
    • Widdowson, M.A.1    Molz, F.J.2    Benefield, L.D.3
  • 58
    • 33644934844 scopus 로고
    • Action of microorganisms on hydrocarbons
    • Zobell, C. E., Action of microorganisms on hydrocarbons. Bacterial. Rev., 10 (1946) 1-49.
    • (1946) Bacterial. Rev. , vol.10 , pp. 1-49
    • Zobell, C.E.1


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