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Volumn 35, Issue 7, 1999, Pages 2069-2084

Stochastic solute transport under unsteady flow conditions: Comparison of theory, Monte Carlo simulations, and field data

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; GROUNDWATER FLOW; MATHEMATICAL MODELS; MONTE CARLO METHODS; RANDOM PROCESSES; UNSTEADY FLOW;

EID: 0032991145     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900112     Document Type: Article
Times cited : (18)

References (40)
  • 1
    • 0031886165 scopus 로고    scopus 로고
    • Characterizing the heterogeneity and correlation of perchloroethene sorption and hydraulic conductivity using a facies-based approach
    • Allen-King, R. M., R. M. Halket, D. R. Gaylord, and M. J. L. Robin, Characterizing the heterogeneity and correlation of perchloroethene sorption and hydraulic conductivity using a facies-based approach, Water Resour. Res., 34, 385-396, 1998.
    • (1998) Water Resour. Res. , vol.34 , pp. 385-396
    • Allen-King, R.M.1    Halket, R.M.2    Gaylord, D.R.3    Robin, M.J.L.4
  • 2
    • 0024196369 scopus 로고
    • On the Dagan model of solute transport in groundwater: Application to the Borden site
    • Barry, D. A., A. J. Coves, and G. Sposito, On the Dagan model of solute transport in groundwater: Application to the Borden site, Water Resour. Res., 24, 1805-1817, 1988.
    • (1988) Water Resour. Res. , vol.24 , pp. 1805-1817
    • Barry, D.A.1    Coves, A.J.2    Sposito, G.3
  • 4
    • 0027035745 scopus 로고
    • Simulation of dispersion in heterogenous porous formations: Statistics, first-order theories, convergence of computations
    • Bellin, A., P. Salandin, and A. Rinaldo, Simulation of dispersion in heterogenous porous formations: Statistics, first-order theories, convergence of computations, Water Resour. Res., 28, 2211-2227, 1992.
    • (1992) Water Resour. Res. , vol.28 , pp. 2211-2227
    • Bellin, A.1    Salandin, P.2    Rinaldo, A.3
  • 5
    • 0029663124 scopus 로고    scopus 로고
    • The impact of head gradient transients on transport in heterogeneous formations: Applications to the Borden site
    • Bellin, A., G. Dagan, and Y. Rubin, The impact of head gradient transients on transport in heterogeneous formations: Applications to the Borden site, Water Resour. Res., 32, 2705-2713, 1996.
    • (1996) Water Resour. Res. , vol.32 , pp. 2705-2713
    • Bellin, A.1    Dagan, G.2    Rubin, Y.3
  • 6
    • 0028176315 scopus 로고
    • Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty
    • Burr, D. T., E. A. Sudicky, and R. L. Naff, Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty, Water Resour. Res., 30, 791-815, 1994.
    • (1994) Water Resour. Res. , vol.30 , pp. 791-815
    • Burr, D.T.1    Sudicky, E.A.2    Naff, R.L.3
  • 7
    • 0023249063 scopus 로고
    • Theory of solute transport by groundwater
    • Dagan, G., Theory of solute transport by groundwater, Annu. Rev. Fluid Mech., 19, 183-215, 1987.
    • (1987) Annu. Rev. Fluid Mech. , vol.19 , pp. 183-215
    • Dagan, G.1
  • 8
    • 0013608992 scopus 로고
    • Comment on "A note on the recent natural gradient tracer test at the Borden Site"
    • by R. L. Naff, T.-C. Jim Yeh, and M. W. Kemblowski
    • Dagan, G., Comment on "A note on the recent natural gradient tracer test at the Borden Site" by R. L. Naff, T.-C. Jim Yeh, and M. W. Kemblowski, Water Resour. Res., 25, 2521-2522, 1989.
    • (1989) Water Resour. Res. , vol.25 , pp. 2521-2522
    • Dagan, G.1
  • 9
    • 0025586906 scopus 로고
    • Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion
    • Dagan, G., Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion, Water Resour. Res., 26, 1281-1290, 1990.
    • (1990) Water Resour. Res. , vol.26 , pp. 1281-1290
    • Dagan, G.1
  • 10
    • 0029657368 scopus 로고    scopus 로고
    • Lagrangian analysis of transport in heterogenous formations under transient flow conditions
    • Dagan, G., A. Bellin, and Y. Rubin, Lagrangian analysis of transport in heterogenous formations under transient flow conditions, Water Resour. Res., 32, 891-899, 1996.
    • (1996) Water Resour. Res. , vol.32 , pp. 891-899
    • Dagan, G.1    Bellin, A.2    Rubin, Y.3
  • 12
    • 0028372535 scopus 로고
    • Stochastic and deterministic analysis of dispersion in unsteady flow at the Borden tracer-test site, Ontario, Canada
    • Farrell, D. A., A. D. Woodbury, E. A. Sudicky, and M. O. Rivett, Stochastic and deterministic analysis of dispersion in unsteady flow at the Borden tracer-test site, Ontario, Canada, J. Contam. Hydrol., 15, 159-185, 1994.
    • (1994) J. Contam. Hydrol. , vol.15 , pp. 159-185
    • Farrell, D.A.1    Woodbury, A.D.2    Sudicky, E.A.3    Rivett, M.O.4
  • 13
    • 0029657356 scopus 로고    scopus 로고
    • Uncertainty in deterministic groundwater transport models due to the assumption of macrodispersive mixing: Evidence from the Cape Cod (Massachusetts, U.S.A.) and Borden (Ontario, Canada) tracer tests
    • Fitts, C. R., Uncertainty in deterministic groundwater transport models due to the assumption of macrodispersive mixing: Evidence from the Cape Cod (Massachusetts, U.S.A.) and Borden (Ontario, Canada) tracer tests, J. Contam. Hydrol., 23, 69-84, 1996.
    • (1996) J. Contam. Hydrol. , vol.23 , pp. 69-84
    • Fitts, C.R.1
  • 14
    • 0022893881 scopus 로고
    • A natural gradient experiment on solute transport in a sand aquifer, 2, Spatial moments and the advection and dispersion of nonreactive tracers
    • Freyberg, D. L., A natural gradient experiment on solute transport in a sand aquifer, 2, Spatial moments and the advection and dispersion of nonreactive tracers, Water Resour. Res., 22, 2031-2046, 1986.
    • (1986) Water Resour. Res. , vol.22 , pp. 2031-2046
    • Freyberg, D.L.1
  • 15
    • 0025691986 scopus 로고
    • Apparent dispersion in transient groundwater flow
    • Goode, D. J., and L. F. Konkikow, Apparent dispersion in transient groundwater flow, Water Resour. Res., 26, 2339-2351, 1990.
    • (1990) Water Resour. Res. , vol.26 , pp. 2339-2351
    • Goode, D.J.1    Konkikow, L.F.2
  • 16
    • 0024486420 scopus 로고
    • Stochastic analysis of nonstationary subsurface solute transport, 1, Unconditional moments
    • Graham, W., and D. McLaughlin, Stochastic analysis of nonstationary subsurface solute transport, 1, Unconditional moments, Water Resour. Res., 25, 215-232, 1989.
    • (1989) Water Resour. Res. , vol.25 , pp. 215-232
    • Graham, W.1    McLaughlin, D.2
  • 17
    • 0026277438 scopus 로고
    • A stochastic model of solute transport in groundwater: Application to the Borden, Ontario, tracer test
    • Graham, W., and D. B. McLaughlin, A stochastic model of solute transport in groundwater: Application to the Borden, Ontario, tracer test, Water Resour. Res., 27, 1345-1359, 1991.
    • (1991) Water Resour. Res. , vol.27 , pp. 1345-1359
    • Graham, W.1    McLaughlin, D.B.2
  • 18
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten, A., High resolution schemes for hyperbolic conservation laws, J. Comput. Phys., 49, 357-393, 1983.
    • (1983) J. Comput. Phys. , vol.49 , pp. 357-393
    • Harten, A.1
  • 19
    • 0031960695 scopus 로고    scopus 로고
    • A Monte Carlo assessment of Eulerian flow and transport perturbation models
    • Hassan, A. E., J. H. Cushman, and J. W. Delleur, A Monte Carlo assessment of Eulerian flow and transport perturbation models, Water Resour. Res., 34, 1143-1163, 1998.
    • (1998) Water Resour. Res. , vol.34 , pp. 1143-1163
    • Hassan, A.E.1    Cushman, J.H.2    Delleur, J.W.3
  • 20
    • 0026305561 scopus 로고
    • A stochastic model of reactive solute transport with time-varying velocity in a heterogeneous aquifer
    • Kabala, Z. J., and G. Sposito, A stochastic model of reactive solute transport with time-varying velocity in a heterogeneous aquifer, Water Resour. Res., 27, 341-350, 1991.
    • (1991) Water Resour. Res. , vol.27 , pp. 341-350
    • Kabala, Z.J.1    Sposito, G.2
  • 21
    • 0029666660 scopus 로고    scopus 로고
    • On the stochastic theory of solute transport by unsteady and steady groundwater flow in heterogeneous aquifers
    • Kawas, M. L., and A. Karakas, On the stochastic theory of solute transport by unsteady and steady groundwater flow in heterogeneous aquifers, J. Hydrol., 179, 321-351, 1996.
    • (1996) J. Hydrol. , vol.179 , pp. 321-351
    • Kawas, M.L.1    Karakas, A.2
  • 22
    • 0022831337 scopus 로고
    • Modélisation de la propagation d'un contaminat dans un cham d'écoulement transitoire
    • Kinzelbach, W., and P. Ackerer, Modélisation de la propagation d'un contaminat dans un cham d'écoulement transitoire, Hydrogéologie, 2, 197-205, 1986.
    • (1986) Hydrogéologie , vol.2 , pp. 197-205
    • Kinzelbach, W.1    Ackerer, P.2
  • 23
    • 0022903089 scopus 로고
    • A natural gradient experiment on solute transport in a sand aquifer, 1, Approach and overview of plume movement
    • Mackay, D. M., D. L. Freyberg, P. V. Roberts, and J. A. Cherry, A natural gradient experiment on solute transport in a sand aquifer, 1, Approach and overview of plume movement, Water Resour. Res., 22, 2017-2029, 1986.
    • (1986) Water Resour. Res. , vol.22 , pp. 2017-2029
    • Mackay, D.M.1    Freyberg, D.L.2    Roberts, P.V.3    Cherry, J.A.4
  • 24
    • 0000404265 scopus 로고
    • A note on the recent natural tracer test at the Borden site
    • Naff, R. L., T.-C. J. Yeh, and M. W. Kemblowski, A note on the recent natural tracer test at the Borden site, Water Resour. Res., 24, 453-466, 1988.
    • (1988) Water Resour. Res. , vol.24 , pp. 453-466
    • Naff, R.L.1    Yeh, T.-C.J.2    Kemblowski, M.W.3
  • 26
    • 0031922966 scopus 로고    scopus 로고
    • High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media, 2, Transport results
    • Naff, R. L., D. F. Haley, and E. A. Sudicky, High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media, 2, Transport results, Water Resour. Res., 34, 679-697, 1998.
    • (1998) Water Resour. Res. , vol.34 , pp. 679-697
    • Naff, R.L.1    Haley, D.F.2    Sudicky, E.A.3
  • 27
    • 0026300550 scopus 로고
    • Three-dimensional spatial moments analysis of the Borden tracer data
    • Rajaram, H., and L. Gelhar, Three-dimensional spatial moments analysis of the Borden tracer data, Water Resour. Res., 27, 1239-1251, 1991.
    • (1991) Water Resour. Res. , vol.27 , pp. 1239-1251
    • Rajaram, H.1    Gelhar, L.2
  • 28
    • 0027870936 scopus 로고
    • Plume scale-dependent dispersion in heterogeneous aquifers, 1, Lagrangian analysis in a stratified aquifer
    • Rajaram, H., and L. Gelhar, Plume scale-dependent dispersion in heterogeneous aquifers, 1, Lagrangian analysis in a stratified aquifer, Water Resour. Res., 29, 3249-3260, 1993.
    • (1993) Water Resour. Res. , vol.29 , pp. 3249-3260
    • Rajaram, H.1    Gelhar, L.2
  • 29
    • 0027086622 scopus 로고
    • Stochastic analysis of dispersion in unsteady flow in heterogeneous aquifers
    • Rehfeldt, K. R., and L. W. Gelhar, Stochastic analysis of dispersion in unsteady flow in heterogeneous aquifers, Water Resour. Res., 28, 2085-2099, 1992.
    • (1992) Water Resour. Res. , vol.28 , pp. 2085-2099
    • Rehfeldt, K.R.1    Gelhar, L.W.2
  • 30
    • 0022861623 scopus 로고
    • A natural gradient experiment on solute transport in a sand aquifer, 3, Retardation estimates and mass balances for organic solutes
    • Roberts, P. V., M. N. Goltz, and D. M. Mackay, A natural gradient experiment on solute transport in a sand aquifer, 3, Retardation estimates and mass balances for organic solutes, Water Resour. Res., 22, 2047-2058, 1986.
    • (1986) Water Resour. Res. , vol.22 , pp. 2047-2058
    • Roberts, P.V.1    Goltz, M.N.2    Mackay, D.M.3
  • 31
    • 0027799551 scopus 로고
    • Cross-correlated random field generator with direct Fourier transform method
    • Robin, M. J. L., A. L. Gutjahr, E. A. Sudicky, and J. L. Wilson, Cross-correlated random field generator with direct Fourier transform method, Water Resour. Res., 29, 2385-2397, 1993.
    • (1993) Water Resour. Res. , vol.29 , pp. 2385-2397
    • Robin, M.J.L.1    Gutjahr, A.L.2    Sudicky, E.A.3    Wilson, J.L.4
  • 32
    • 0025206016 scopus 로고
    • Stochastic modeling of macrodispersion in heterogeneous porous media
    • Rubin, Y., Stochastic modeling of macrodispersion in heterogeneous porous media, Water Resour. Res., 26, 133-141, 1990a.
    • (1990) Water Resour. Res. , vol.26 , pp. 133-141
    • Rubin, Y.1
  • 33
    • 0000842250 scopus 로고
    • Correction to "Stochastic modeling of macrodispersion in heterogeneous porous media"
    • by Yoram Rubin
    • Rubin, Y., Correction to "Stochastic modeling of macrodispersion in heterogeneous porous media" by Yoram Rubin, Water Resour. Res., 26, 2631, 1990b.
    • (1990) Water Resour. Res. , vol.26 , pp. 2631
    • Rubin, Y.1
  • 34
    • 0022874009 scopus 로고
    • A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process
    • Sudicky, E. A., A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process, Water Resour. Res., 22, 2069-2082, 1986.
    • (1986) Water Resour. Res. , vol.22 , pp. 2069-2082
    • Sudicky, E.A.1
  • 36
    • 0033053931 scopus 로고    scopus 로고
    • Ensemble-averaged equations for reactive transport in porous media under unsteady flow conditions
    • this issue
    • Wood, B. D., and M. L. Kavvas, Ensemble-averaged equations for reactive transport in porous media under unsteady flow conditions, Water Resour. Res., this issue.
    • Water Resour. Res.
    • Wood, B.D.1    Kavvas, M.L.2
  • 37
    • 0026296652 scopus 로고
    • The geostatistical characteristics of the Borden aquifer
    • Woodbury, A. D., and E. A. Sudicky, The geostatistical characteristics of the Borden aquifer, Water Resour. Res., 27, 533-546, 1991.
    • (1991) Water Resour. Res. , vol.27 , pp. 533-546
    • Woodbury, A.D.1    Sudicky, E.A.2
  • 38
    • 0028975069 scopus 로고
    • Eulerian-Lagrangian analysis of transport conditions on hydraulic data, 1, Analytical-numerical approach
    • Zhang, D., and S. P. Neuman, Eulerian-Lagrangian analysis of transport conditions on hydraulic data, 1, Analytical-numerical approach, Water Resour. Res., 31, 39-51, 1995.
    • (1995) Water Resour. Res. , vol.31 , pp. 39-51
    • Zhang, D.1    Neuman, S.P.2
  • 39
    • 0029675701 scopus 로고    scopus 로고
    • Head and velocity covariances under quasi-steady flow and their effects on advective transport
    • Zhang, D., and S. P. Neuman, Head and velocity covariances under quasi-steady flow and their effects on advective transport, Water Resour. Res., 32, 77-83, 1996.
    • (1996) Water Resour. Res. , vol.32 , pp. 77-83
    • Zhang, D.1    Neuman, S.P.2
  • 40
    • 0000403189 scopus 로고
    • A quasi-linear theory of non-Fickian and Fickian subsurface dispersion, 2, Application to anisotropic media and the Borden site
    • Zhang, Y.-K., and S. P. Neuman, A quasi-linear theory of non-Fickian and Fickian subsurface dispersion, 2, Application to anisotropic media and the Borden site, Water Resour. Res., 26, 903-913, 1990.
    • (1990) Water Resour. Res. , vol.26 , pp. 903-913
    • Zhang, Y.-K.1    Neuman, S.P.2


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