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Volumn 32, Issue 2, 1998, Pages 199-232

An approach to transport in heterogeneous porous media using the truncated temporal moment equations: Theory and numerical validation

Author keywords

Numerical modeling; Pollution forecasting; Reactive transport; Stationary advection dispersion equation; Truncated temporal moment

Indexed keywords

COMPUTER SIMULATION; LAPLACE TRANSFORMS; METHOD OF MOMENTS; PARTIAL DIFFERENTIAL EQUATIONS; POROUS MATERIALS;

EID: 0032147785     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006509609858     Document Type: Article
Times cited : (12)

References (42)
  • 1
    • 0006977824 scopus 로고
    • Random-walk method to simulate pollutant transport in alluvial aquifers or fractured rocks
    • Custudio et al. (eds), Reidel, Dordrecht, The Netherlands
    • Ackerer, P.: 1988, Random-walk method to simulate pollutant transport in alluvial aquifers or fractured rocks. In: Custudio et al. (eds), Groundwater Flow and Quality Modeling, Reidel, Dordrecht, The Netherlands, pp. 475-486.
    • (1988) Groundwater Flow and Quality Modeling , pp. 475-486
    • Ackerer, P.1
  • 2
    • 0024855636 scopus 로고
    • Analysis of non-equilibrium desorption of volatile organics during field tests of aquifer decomposition
    • Bahr, J. M.: 1989, Analysis of non-equilibrium desorption of volatile organics during field tests of aquifer decomposition, J. Contam. Hydrol. 4, 205-222.
    • (1989) J. Contam. Hydrol. , vol.4 , pp. 205-222
    • Bahr, J.M.1
  • 5
    • 0343878393 scopus 로고
    • Numerical model of contaminant transport through conduit porous matrix system
    • Bobba, A. G.: 1989, Numerical model of contaminant transport through conduit porous matrix system, Math. Geol. 21(8), 861-890.
    • (1989) Math. Geol. , vol.21 , Issue.8 , pp. 861-890
    • Bobba, A.G.1
  • 6
    • 0028976147 scopus 로고
    • Dispersion of a continuously injected non-linearly adsorbing solute in chemically and physically heterogeneous porous formations
    • Bosma, W. J. and Van der Zee, S.: 1995, Dispersion of a continuously injected non-linearly adsorbing solute in chemically and physically heterogeneous porous formations, J. Contam. Hydrol. 18(3), 181-198.
    • (1995) J. Contam. Hydrol. , vol.18 , Issue.3 , pp. 181-198
    • Bosma, W.J.1    Van Der Zee, S.2
  • 7
    • 0024813919 scopus 로고
    • Modeling the transport of solutes influenced by multiprocess non-equilibrium
    • Brusseau, M. L., Jessup, R. E. and Rao, P. S. C.: 1989, Modeling the transport of solutes influenced by multiprocess non-equilibrium, Water Resour. Res. 25(9), 1971-1988.
    • (1989) Water Resour. Res. , vol.25 , Issue.9 , pp. 1971-1988
    • Brusseau, M.L.1    Jessup, R.E.2    Rao, P.S.C.3
  • 8
    • 0029656603 scopus 로고    scopus 로고
    • Transport in 2-D saturated porous medium: A new method for particle tracking
    • Delay, F., Housset-Resche, H., Porel, G. and Marsily, G. de: 1996, Transport in 2-D saturated porous medium: a new method for particle tracking, Math. Geol. 28(1), 45-71.
    • (1996) Math. Geol. , vol.28 , Issue.1 , pp. 45-71
    • Delay, F.1    Housset-Resche, H.2    Porel, G.3    De Marsily, G.4
  • 9
    • 0028666763 scopus 로고
    • One-dimensional solution of the transport equation in porous media in transient state by a new numerical method for the management of particle track
    • Delay, F. and de Marsily, G.: 1994, One-dimensional solution of the transport equation in porous media in transient state by a new numerical method for the management of particle track, Comput. Geosci. 20(7-8), 1169-1200.
    • (1994) Comput. Geosci. , vol.20 , Issue.7-8 , pp. 1169-1200
    • Delay, F.1    De Marsily, G.2
  • 10
    • 0030618872 scopus 로고    scopus 로고
    • Predicting solute transport in heterogeneous media from results obtained in homogeneous ones: An experimental approach
    • Delay, F., Porel, G. and de Marsily, G.: 1997, Predicting solute transport in heterogeneous media from results obtained in homogeneous ones: an experimental approach, J. Contam. Hydrol. 25(1-2), 63-84.
    • (1997) J. Contam. Hydrol. , vol.25 , Issue.1-2 , pp. 63-84
    • Delay, F.1    Porel, G.2    De Marsily, G.3
  • 11
    • 0030212977 scopus 로고    scopus 로고
    • Comparison of solution approaches for the two-domain model of nonequilibrium transport in prous media
    • Gallo, C., Paniconi, C. and Gambolati, G.: 1996, Comparison of solution approaches for the two-domain model of nonequilibrium transport in prous media, Adv. Water Resour. 19(4), 241-253.
    • (1996) Adv. Water Resour. , vol.19 , Issue.4 , pp. 241-253
    • Gallo, C.1    Paniconi, C.2    Gambolati, G.3
  • 12
    • 0029413184 scopus 로고
    • Temporal moment-generating equations: Modeling transport and mass transfer in heterogeneous aquifers
    • Harvey, C. F. and Gorelick, S. M.: 1995, Temporal moment-generating equations: modeling transport and mass transfer in heterogeneous aquifers, Water Resour. Res. 31(8), 1895-1911.
    • (1995) Water Resour. Res. , vol.31 , Issue.8 , pp. 1895-1911
    • Harvey, C.F.1    Gorelick, S.M.2
  • 13
    • 0029412474 scopus 로고
    • Effect of solute size on transport in structured porous media
    • Hu, M. O. and Brusseau, M. L.: 1995, Effect of solute size on transport in structured porous media, Water Resour. Res. 31(7), 1637-1646.
    • (1995) Water Resour. Res. , vol.31 , Issue.7 , pp. 1637-1646
    • Hu, M.O.1    Brusseau, M.L.2
  • 14
    • 0003365609 scopus 로고
    • Groundwater Modeling by Finite Elements
    • Am. Geophys. Union, Washington DC
    • Istok, J.: 1989, Groundwater Modeling by Finite Elements, Water Resour. Monograph 13, Am. Geophys. Union, Washington DC, p. 495.
    • (1989) Water Resour. Monograph , vol.13 , pp. 495
    • Istok, J.1
  • 15
    • 0018295397 scopus 로고
    • Applicability of the local equilibrium assumption to transport through soils of solutions affected by ion exchange
    • E. A. Jenne (ed.), Am. Chem. Soc., Washington DC
    • James, R. V. and Rubin, J.: 1979, Applicability of the local equilibrium assumption to transport through soils of solutions affected by ion exchange, In: E. A. Jenne (ed.), Chemical Modeling in Aqueous Systems, Am. Chem. Soc., Washington DC, pp. 225-235.
    • (1979) Chemical Modeling in Aqueous Systems , pp. 225-235
    • James, R.V.1    Rubin, J.2
  • 16
    • 0027009434 scopus 로고
    • Solute transport through layered soil profiles:zero and perfect travel time correlation models
    • Jury, W. A. and Uterman, J.: 1992, Solute transport through layered soil profiles:zero and perfect travel time correlation models, Transport in Porous Media 8, 277-297.
    • (1992) Transport in Porous Media , vol.8 , pp. 277-297
    • Jury, W.A.1    Uterman, J.2
  • 18
    • 0022266440 scopus 로고
    • Longitudinal dispersion in a forest stream
    • Legrand-Marc, C. and Laudelout, H.: 1985, Longitudinal dispersion in a forest stream, J. Hydrol. 78(3-4), 317-324.
    • (1985) J. Hydrol. , vol.78 , Issue.3-4 , pp. 317-324
    • Legrand-Marc, C.1    Laudelout, H.2
  • 19
    • 0029500398 scopus 로고
    • A stream tube model for miscible flow: 1 macrodispersion in random porous media
    • Lenormand, R.: 1995, A stream tube model for miscible flow: 1 macrodispersion in random porous media, Transport in Porous Media 18, 245-261.
    • (1995) Transport in Porous Media , vol.18 , pp. 245-261
    • Lenormand, R.1
  • 21
    • 84889035818 scopus 로고
    • Influence of matrix diffusion and exchange reactions on radiocarbon ages in fissured carbonates aquifers
    • Maloszewsky, P. and Zuber, A.: 1991, Influence of matrix diffusion and exchange reactions on radiocarbon ages in fissured carbonates aquifers, Water Resour. Res. 27(8), 1937-1945.
    • (1991) Water Resour. Res. , vol.27 , Issue.8 , pp. 1937-1945
    • Maloszewsky, P.1    Zuber, A.2
  • 22
    • 0022676039 scopus 로고
    • Constraints on the validity of equilibrium and first-order kinetics transport models in structured soils
    • Parker, J. C. and Vallochi, A. J.: 1986, Constraints on the validity of equilibrium and first-order kinetics transport models in structured soils, Water Resour. Res. 22(8), 399-407.
    • (1986) Water Resour. Res. , vol.22 , Issue.8 , pp. 399-407
    • Parker, J.C.1    Vallochi, A.J.2
  • 23
    • 0029413204 scopus 로고
    • Improved computation of non-linear advection in porous media using slightly modified basic finite element algorithms
    • Perrochet, P.: 1995, Improved computation of non-linear advection in porous media using slightly modified basic finite element algorithms, Int. J. Num. An. Methods Geomech. 19, 497-508.
    • (1995) Int. J. Num. An. Methods Geomech. , vol.19 , pp. 497-508
    • Perrochet, P.1
  • 24
    • 0018312875 scopus 로고
    • A new collocation method for the solution of convection-dominated transport equation
    • Pinder, G. F. and Shapiro, A. M.: 1979, A new collocation method for the solution of convection-dominated transport equation, Water Resour. Res. 15(5), 1177-1182.
    • (1979) Water Resour. Res. , vol.15 , Issue.5 , pp. 1177-1182
    • Pinder, G.F.1    Shapiro, A.M.2
  • 26
    • 0025448255 scopus 로고
    • A 2-D reservoir stream tube EOR model with periodical automatic regeneration of streamlines
    • Renard, G.: 1990, A 2-D reservoir stream tube EOR model with periodical automatic regeneration of streamlines, In Situ 14, 175-200.
    • (1990) In Situ , vol.14 , pp. 175-200
    • Renard, G.1
  • 27
    • 0028591502 scopus 로고
    • First- and second-order kinetics approaches for modeling the transport of colloidal particles in porous media
    • Saiers, J. E., Hornberger, M. and Liang, L.: 1994, First- and second-order kinetics approaches for modeling the transport of colloidal particles in porous media, Water Resour. Res. 30(9), 2499-2506.
    • (1994) Water Resour. Res. , vol.30 , Issue.9 , pp. 2499-2506
    • Saiers, J.E.1    Hornberger, M.2    Liang, L.3
  • 28
    • 0026272629 scopus 로고
    • Modeling the non-equilibrium transport of linearly interacting solutes in porous media: A review
    • Sardin, M., Schweich, D., Leij, F. J. and Van Genuchten, M.T.: 1991, Modeling the non-equilibrium transport of linearly interacting solutes in porous media: a review, Water Resour. Res. 27(9), 2287-2307.
    • (1991) Water Resour. Res. , vol.27 , Issue.9 , pp. 2287-2307
    • Sardin, M.1    Schweich, D.2    Leij, F.J.3    Van Genuchten, M.T.4
  • 29
    • 0024821775 scopus 로고
    • The Laplace transform Galerkin technique: A time-continuous finite element theory and application to mass transport in groundwater
    • Sudicky, E. A.: 1989, The Laplace transform Galerkin technique: a time-continuous finite element theory and application to mass transport in groundwater, Water Resour. Res. 25(5), 1833-1846.
    • (1989) Water Resour. Res. , vol.25 , Issue.5 , pp. 1833-1846
    • Sudicky, E.A.1
  • 30
    • 0026471304 scopus 로고
    • The Laplace transform Galerkin technique for large-scale simulation of mass transport in discretely fractured porous formations
    • Sudicky, E. A. and McLaren, R. G.: 1992, The Laplace transform Galerkin technique for large-scale simulation of mass transport in discretely fractured porous formations, Water Resour. Res. 28(2), 499-514.
    • (1992) Water Resour. Res. , vol.28 , Issue.2 , pp. 499-514
    • Sudicky, E.A.1    McLaren, R.G.2
  • 32
    • 0025624804 scopus 로고
    • Numerical simulation of solute transport in three-dimensional randomly heterogeneous porous media
    • Thompson, A. F. B. and Gelhar, L. W.: 1990, Numerical simulation of solute transport in three-dimensional randomly heterogeneous porous media, Water Resour. Res. 26(10), 2541-2562.
    • (1990) Water Resour. Res. , vol.26 , Issue.10 , pp. 2541-2562
    • Thompson, A.F.B.1    Gelhar, L.W.2
  • 33
    • 0001620389 scopus 로고
    • Modeling of solute transport with the random-walk method
    • Custudio et al. (eds), D. Reidel, Dordrecht
    • Uffink, G. J. M.: 1988, Modeling of solute transport with the random-walk method, In: Custudio et al. (eds), Groundwater Flow and Quality Modeling, D. Reidel, Dordrecht, pp. 247-265.
    • (1988) Groundwater Flow and Quality Modeling , pp. 247-265
    • Uffink, G.J.M.1
  • 34
    • 0022267615 scopus 로고
    • Validity of the local equilibrium assumption for modeling sorbing solute through homogeneous soils
    • Vallochi, A. J.: 1985, Validity of the local equilibrium assumption for modeling sorbing solute through homogeneous soils, Waler Resour. Res: 21(6), 808-820.
    • (1985) Waler Resour. Res , vol.21 , Issue.6 , pp. 808-820
    • Vallochi, A.J.1
  • 35
    • 0022807184 scopus 로고
    • Effect of radial flow on deviations from local equilibrium during sorbing solute transport through homogeneous soils
    • Valiochi, A. J.: 1986, Effect of radial flow on deviations from local equilibrium during sorbing solute transport through homogeneous soils. Water Resour. Res. 22(12), 1693-1701.
    • (1986) Water Resour. Res. , vol.22 , Issue.12 , pp. 1693-1701
    • Valiochi, A.J.1
  • 36
    • 0016973021 scopus 로고
    • Mass transfer studies in sorbing porous media: Analytical solutions
    • Van Genuchten, M. T. and Wierenga, P. J.: 1976, Mass transfer studies in sorbing porous media: analytical solutions, Soil Sci. Soc. Am. J. 40(3), 473-479.
    • (1976) Soil Sci. Soc. Am. J. , vol.40 , Issue.3 , pp. 473-479
    • Van Genuchten, M.T.1    Wierenga, P.J.2
  • 37
    • 0002764706 scopus 로고
    • Theory of chromatography
    • A. E. Rodrigues and D. Tondeur (eds), NATO ASI ser. E, Rockville, Massachusetts
    • Villermaux, J.: 1981, Theory of chromatography, In: A. E. Rodrigues and D. Tondeur (eds), Percolation Processes, Theory and Applications, NATO ASI ser. E, vol. 33, Rockville, Massachusetts, pp. 83-140.
    • (1981) Percolation Processes, Theory and Applications , vol.33 , pp. 83-140
    • Villermaux, J.1
  • 38
    • 0000634025 scopus 로고    scopus 로고
    • The constant displacement scheme for tracking particles in heterogeneous aquifers
    • Wen, X. H. and Gomez-Hernandez, J. J.: 1996, The constant displacement scheme for tracking particles in heterogeneous aquifers, Groundwater 34(1), 135-142.
    • (1996) Groundwater , vol.34 , Issue.1 , pp. 135-142
    • Wen, X.H.1    Gomez-Hernandez, J.J.2
  • 39
    • 0029413776 scopus 로고
    • A combined Laplace transform and streamline upwind approach for non ideal transport of solutes in porous media
    • Xu, L. and Brusseau, M. L.: 1995, A combined Laplace transform and streamline upwind approach for non ideal transport of solutes in porous media. Water Resour. Res. 31(10), 2483-2489.
    • (1995) Water Resour. Res. , vol.31 , Issue.10 , pp. 2483-2489
    • Xu, L.1    Brusseau, M.L.2
  • 40
    • 0025680793 scopus 로고
    • A Lagrangian-Eulerian method with zoomable hidden fine-mesh approach to solve advection-dispersion equations
    • Yeh, G.: 1990, A Lagrangian-Eulerian method with zoomable hidden fine-mesh approach to solve advection-dispersion equations, Water Resour. Res. 26(6), 1133-1144.
    • (1990) Water Resour. Res. , vol.26 , Issue.6 , pp. 1133-1144
    • Yeh, G.1
  • 41
    • 0027594281 scopus 로고
    • Extension of the method of characteristics for simulation of solute transport in three dimensions
    • Zheng, C.: 1993, Extension of the method of characteristics for simulation of solute transport in three dimensions, Groundwater 31(3), 456-465.
    • (1993) Groundwater , vol.31 , Issue.3 , pp. 456-465
    • Zheng, C.1


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