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Volumn 47, Issue 1, 2011, Pages

On the local concentration probability density function of solutes reacting upon mixing

Author keywords

[No Author keywords available]

Indexed keywords

AMBIENT WATERS; AQUEOUS SPECIES; CONCENTRATION MOMENTS; GAUSSIANS; GEOCHEMICAL PROCESS; GEOLOGICAL FORMATION; HETEROGENEOUS AQUIFERS; HYDRAULIC PROPERTIES; LIMITED INFORMATION; MACRODISPERSION; MODELING TRANSPORT; NATURAL FORMATIONS; PARAMETRIZATIONS; PASSIVE TRACERS; PROBABILITY DENSITY FUNCTION (PDF); REGULATORY LIMIT; SECOND ORDER MOMENT; SOLUTE CONCENTRATIONS; SPATIAL VARIABILITY; TRANSPORT DYNAMICS; TRANSPORT MODELING;

EID: 79551698382     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR009696     Document Type: Article
Times cited : (32)

References (44)
  • 1
    • 34848820544 scopus 로고    scopus 로고
    • Probability density function of non-reactive solute concentration in heterogeneous porous formations
    • Bellin, A., and D. Tonina (2007), Probability density function of non-reactive solute concentration in heterogeneous porous formations, J. Contam. Hydrol, 94, 109-125.
    • (2007) J. Contam. Hydrol , vol.94 , pp. 109-125
    • Bellin, A.1    Tonina, D.2
  • 2
    • 0028669960 scopus 로고
    • Eulerian-Lagrangian approach for modeling of flow and transport in heterogeneous geological formations
    • Bellin, A., Y. Rubin, and A. Rinaldo (1994), Eulerian-Lagrangian approach for modeling of flow and transport in heterogeneous geological formations, Water Resour. Res., 30(11), 2913-2924.
    • (1994) Water Resour. Res , vol.30 , Issue.11 , pp. 2913-2924
    • Bellin, A.1    Rubin, Y.2    Rinaldo, A.3
  • 3
    • 33644837483 scopus 로고    scopus 로고
    • Determination of transverse dispersion coefficients from reactive plume lengths
    • DOI 10.1111/j.1745-6584.2005.00124.x
    • Cirpka, O. A., Å. Olsson, Q. Ju, M. A. Rahman, and P. Grathwohl (2006), Determination of transverse dispersion coefficients from reactive plume lengths, Ground Water, 44(2), 212- 221, doi:10.1111/j.1745- 6584.2005.00124.x. (Pubitemid 43362902)
    • (2006) Ground Water , vol.44 , Issue.2 , pp. 212-221
    • Cirpka, O.A.1    Olsson, A.2    Ju, Q.3    Rahman, Md.A.4    Grathwohl, P.5
  • 4
    • 0020336117 scopus 로고
    • Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 2. The solute transport
    • Dagan, G. (1982), Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 2. The solute transport, Water Resour. Res., 18(4), 835-848.
    • (1982) Water Resour. Res. , vol.18 , Issue.4 , pp. 835-848
    • Dagan, G.1
  • 6
    • 0026376829 scopus 로고
    • Dispersion of a passive solute in non-ergodic transport by steady velocity fields in heterogeneous formations
    • Dagan, G. (1991), Dispersion of a passive solute in non-ergodic transport by steady velocity fields in heterogeneous formations, J. Fluid Mech., 233, 197-210.
    • (1991) J. Fluid Mech , vol.233 , pp. 197-210
    • Dagan, G.1
  • 7
    • 0030789676 scopus 로고    scopus 로고
    • The influence of pore-scale dispersion on concentration statistical moments in transport through heterogeneous aquifers
    • Dagan, G., and A. Fiori (1997), The influence of pore-scale dispersion on concentration statistical moments in transport through heterogeneous aquifers, Water Resour. Res., 33(7), 1595-1605.
    • (1997) Water Resour. Res , vol.33 , Issue.7 , pp. 1595-1605
    • Dagan, G.1    Fiori, A.2
  • 8
    • 29944441334 scopus 로고    scopus 로고
    • A procedure for the solution of multicomponent reactive transport problems
    • DOI 10.1029/2005WR004056, W11410
    • De Simoni, M., J. Carrera, X. Sànchez-Vila, and A. Guadagnini (2005), A procedure for the solution of multicomponent reactive transport problems, Water Resour. Res., 41, W11410, doi:10.1029/2005WR004056. (Pubitemid 43041791)
    • (2005) Water Resources Research , vol.41 , Issue.11 , pp. 1-16
    • De Simoni, M.1    Carrera, J.2    Sanchez-Vila, X.3    Guadagnini, A.4
  • 9
    • 36649031653 scopus 로고    scopus 로고
    • A mixing ratios-based formulation for multicomponent reactive transport
    • DOI 10.1029/2006WR005256
    • De Simoni, M., X. Sànchez-Vila, J. Carrera, and M. W. Saaltink (2007), A mixing ratios-based formulation for multicomponent reactive transport, Water Resour. Res., 43, W07419, doi:10.1029/2006WR005256. (Pubitemid 350194472)
    • (2007) Water Resources Research , vol.43 , Issue.7
    • De Simoni, M.1    Sanchez-Vila, X.2    Carrera, J.3    Saaltink, M.W.4
  • 11
    • 72149102962 scopus 로고    scopus 로고
    • Multicomponent reactive transport in multicontinuum media
    • doi:10.1029/2008WR006823
    • Donado, L. D., X. Sanchez-Vila, M. Dentz, J. Carrera, and D. Bolster (2009), Multicomponent reactive transport in multicontinuum media, Water Resour. Res., 45, W11402, doi:10.1029/2008WR006823.
    • (2009) Water Resour. Res , vol.45
    • Donado, L.D.1    Sanchez-Vila, X.2    Dentz, M.3    Carrera, J.4    Bolster, D.5
  • 12
    • 51549086274 scopus 로고    scopus 로고
    • Reaction rates and effective parameters in stratified aquifers
    • doi:10.1016/j.advwatres.2008.07.001
    • Fernàndez-Garcia, A., X. Sanchez-Vila, and A. Guadagnini (2008), Reaction rates and effective parameters in stratified aquifers, Adv. Water Resour., 31(10), 1364-1376, doi:10.1016/j.advwatres.2008.07.001.
    • (2008) Adv. Water Resour , vol.31 , Issue.10 , pp. 1364-1376
    • Fernàndez-Garcia, A.1    Sanchez-Vila, X.2    Guadagnini, A.3
  • 13
    • 0035703347 scopus 로고    scopus 로고
    • The Lagrangian concentration approach for determining dilution in aquifer transport: Theoretical analysis and comparison with field experiments
    • Fiori, A. (2001), The Lagrangian concentration approach for determining dilution in aquifer transport: Theoretical analysis and comparison with field experiments, Water Resour. Res., 37(12), 3105-3114.
    • (2001) Water Resour. Res , vol.37 , Issue.12 , pp. 3105-3114
    • Fiori, A.1
  • 14
    • 0346432439 scopus 로고    scopus 로고
    • An asymptotic analysis for determining concentration fluctuations in aquifer transport
    • Fiori, A. (2003), An asymptotic analysis for determining concentration fluctuations in aquifer transport, J. Hydrol., 284, 1-12.
    • (2003) J. Hydrol , vol.284 , pp. 1-12
    • Fiori, A.1
  • 15
    • 0032950902 scopus 로고    scopus 로고
    • Concentration fluctuation in transport by groundwater: Comparison between theory and experiments
    • Fiori, A., and G. Dagan (1999), Concentration fluctuation in transport by groundwater: Comparison between theory and experiments, Water Resour. Res., 35(1), 105-112.
    • (1999) Water Resour. Res , vol.35 , Issue.1 , pp. 105-112
    • Fiori, A.1    Dagan, G.2
  • 16
    • 0033844573 scopus 로고    scopus 로고
    • Concentration fluctuations in aquifer transport: A rigorous first-order solution and applications
    • Fiori, A., and G. Dagan (2000), Concentration fluctuations in aquifer transport: A rigorous first-order solution and applications, J. Contam. Hydrol., 45(1-2), 139-163.
    • (2000) J. Contam. Hydrol , vol.45 , Issue.1-2 , pp. 139-163
    • Fiori, A.1    Dagan, G.2
  • 17
    • 0036722540 scopus 로고    scopus 로고
    • Solute concentration statistics in heterogeneous aquifers for finite Peclet values
    • Fiorotto, V., and E. Caroni (2002), Solute concentration statistics in heterogeneous aquifers for finite Peclet values, Transp. Porous Media, 48, 331-351.
    • (2002) Transp. Porous Media , vol.48 , pp. 331-351
    • Fiorotto, V.1    Caroni, E.2
  • 19
    • 77953103649 scopus 로고    scopus 로고
    • Rotation shields chaotic mixing regions from no-slip walls
    • doi:10.1103/PhysRevLett.104.204502
    • Gouillart, E., J. L. Thiffeault, and O. Dauchot (2010), Rotation shields chaotic mixing regions from no-slip walls, Phys. Rev. Lett., 104, 204502, doi:10.1103/PhysRevLett.104.204502.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 204-502
    • Gouillart, E.1    Thiffeault, J.L.2    Dauchot, O.3
  • 22
    • 0028667825 scopus 로고
    • Transport in three-dimensionally heterogeneous aquifers: 1. Dynamics of concentration fluctuations
    • Kapoor, V., and L. W. Gelhar (1994a), Transport in three-dimensionally heterogeneous aquifers: 1. Dynamics of concentration fluctuations, Water Resour. Res., 30(6), 1775-1788.
    • (1994) Water Resour. Res. , vol.30 , Issue.6 , pp. 1775-1788
    • Kapoor, V.1    Gelhar, L.W.2
  • 23
    • 0028667827 scopus 로고
    • Transport in three-dimensionally heterogeneous aquifers 2. Predictions and observations of concentration fluctuations
    • DOI 10.1029/94WR00075
    • Kapoor, V., and L. W. Gelhar (1994b), Transport in three-dimensionally heterogeneous aquifers: 2. Predictions and observations of concentration fluctuations, Water Resour. Res., 30(6), 1789-1801. (Pubitemid 285248)
    • (1994) Water Resources Research , vol.30 , Issue.6 , pp. 1789-1801
    • Kapoor, V.1    Gelhar, L.W.2
  • 24
    • 0031981272 scopus 로고    scopus 로고
    • Concentration fluctuations and dilution in aquifers
    • Kapoor, V., and P. K. Kitanidis (1998), Concentration fluctuations and dilution in aquifers, Water Resour. Res., 34(5), 1181-1193.
    • (1998) Water Resour. Res , vol.34 , Issue.5 , pp. 1181-1193
    • Kapoor, V.1    Kitanidis, P.K.2
  • 25
    • 0030618859 scopus 로고    scopus 로고
    • Bimolecular second-order reactions in spatially varying flows: Segregation induced scale-dependent transformation rates
    • Kapoor, V., L. W. Gelhar, and F. Miralles-Wilhelm (1997), Bimolecular second-order reactions in spatially varying flows: Segregation induced scale-dependent transformation rates, Water Resour. Res., 33(4), 527-536.
    • (1997) Water Resour. Res , vol.33 , Issue.4 , pp. 527-536
    • Kapoor, V.1    Gelhar, L.W.2    Miralles-Wilhelm, F.3
  • 26
    • 0024163170 scopus 로고
    • Prediction by the method of moments of transport in a heterogeneous formation
    • Kitanidis, P. K. (1988), Prediction by the method of moments of transport in a heterogeneous formation, J. Hydrol., 102, 453-473.
    • (1988) J. Hydrol , vol.102 , pp. 453-473
    • Kitanidis, P.K.1
  • 27
    • 0028667835 scopus 로고
    • The concept of the dilution index
    • Kitanidis, P. K. (1994), The concept of the dilution index, Water Resour. Res., 30(7), 2011-2026.
    • (1994) Water Resour. Res , vol.30 , Issue.7 , pp. 2011-2026
    • Kitanidis, P.K.1
  • 28
    • 70349905351 scopus 로고    scopus 로고
    • Lagrangian topology of a periodically reoriented potential flow: Symmetry, optimization, and mixing
    • Lester, D. R., G. Metcalfe, M. G. Trefry, A. Ord, and B. Hobbs (2009), Lagrangian topology of a periodically reoriented potential flow: Symmetry, optimization, and mixing, Phys. Rev. E, 80, 036208.
    • (2009) Phys. Rev. E. , vol.80 , pp. 036208
    • Lester, D.R.1    Metcalfe, G.2    Trefry, M.G.3    Ord, A.4    Hobbs, B.5
  • 29
    • 55249105974 scopus 로고    scopus 로고
    • Traveltime-based descriptions of transport and mixing in heterogeneous domains
    • doi:10.1029/2007WR006035
    • Luo, J., and O. A. Cirpka (2008), Traveltime-based descriptions of transport and mixing in heterogeneous domains, Water Resour. Res., 44, W09407, doi:10.1029/2007WR006035.
    • (2008) Water Resour. Res , vol.44
    • Luo, J.1    Cirpka, O.A.2
  • 30
    • 41149121488 scopus 로고    scopus 로고
    • Effective reaction parameters for mixing controlled reactions in heterogeneous media
    • DOI 10.1029/2006WR005658
    • Luo, J., M. Dentz, J. Carrera, and P. Kitanidis (2008), Effective reaction parameters for mixing controlled reactions in heterogeneous media, Water Resour. Res., 44, W02416, doi:10.1029/2006WR005658. (Pubitemid 351442494)
    • (2008) Water Resources Research , vol.44 , Issue.2
    • Luo, J.1    Dentz, M.2    Carrera, J.3    Kitanidis, P.4
  • 31
    • 77952476545 scopus 로고    scopus 로고
    • An experimental and theoretical study of the mixing characteristics of a periodically reoriented irrotational flow
    • doi:10.1098/rsta.2010.0037
    • Metcalfe, G., D. Lester, A. Ord, P. Kulkarni, M. Rudman, M. Trefry, B. Hobbs, K. Regenaur-Lieb, and J. Morris (2010), An experimental and theoretical study of the mixing characteristics of a periodically reoriented irrotational flow, Philos. Trans. R. Soc. A, 368(12), 147-2162, doi:10.1098/rsta.2010.0037.
    • (2010) Philos. Trans. R. Soc. A , vol.368 , Issue.12 , pp. 147-2162
    • Metcalfe, G.1    Lester, D.2    Ord, A.3    Kulkarni, P.4    Rudman, M.5    Trefry, M.6    Hobbs, B.7    Regenaur-Lieb, K.8    Morris, J.9
  • 33
    • 0020969478 scopus 로고
    • Transport of reactive solutes in porous media: Relation between mathematical nature of problem formulation and chemical nature of reactions
    • Rubin, J. (1983), Transport of reactive solutes in porous media: Relation between mathematical nature of problem formulation and chemical nature of reactions, Water Resour. Res., 19(1), 133-141.
    • (1983) Water Resour. Res , vol.19 , Issue.1 , pp. 133-141
    • Rubin, J.1
  • 34
    • 0026292242 scopus 로고
    • Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities
    • Rubin, Y. (1991a), Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities, Water Resour. Res., 27(6), 1291-1308.
    • (1991) Water Resour. Res , vol.27 , Issue.6 , pp. 1291-1308
    • Rubin, Y.1
  • 35
    • 0026278478 scopus 로고
    • Transport in heterogeneous porous media: Prediction and uncertainty
    • Rubin, Y. (1991b), Transport in heterogeneous porous media: Prediction and uncertainty, Water Resour. Res., 27(7), 1723-1738.
    • (1991) Water Resour. Res , vol.27 , Issue.7 , pp. 1723-1738
    • Rubin, Y.1
  • 36
    • 0001842155 scopus 로고
    • Modeling of transport in groundwater for environmental risk assessment
    • Rubin, Y., M. A. Cushey, and A. Bellin (1994), Modeling of transport in groundwater for environmental risk assessment, Stochastic Hydrol. Hydraul., 8(1), 55-77.
    • (1994) Stochastic Hydrol. Hydraul , vol.8 , Issue.1 , pp. 55-77
    • Rubin, Y.1    Cushey, M.A.2    Bellin, A.3
  • 37
    • 64249154514 scopus 로고    scopus 로고
    • Conditional probability density functions of concentrations for mixing-controlled reactive transport in heterogeneous aquifers
    • doi:10.1007/s11004-008-9204-2
    • Sanchez-Vila, X., A. Guadagnini, and D. Fernandez-Garcia (2009), Conditional probability density functions of concentrations for mixing-controlled reactive transport in heterogeneous aquifers, Math Geosci., 41, 323-351, doi:10.1007/s11004-008-9204-2.
    • (2009) Math Geosci , vol.41 , pp. 323-351
    • Sanchez-Vila, X.1    Guadagnini, A.2    Fernandez-Garcia, D.3
  • 38
    • 36549093548 scopus 로고
    • Kinetics of diffusion-influenced bimolecular reactions in solution. I. General formalism and relaxation kinetics of fast reversible reactions
    • Sangyoub, L., and M. Kaplus (1987), Kinetics of diffusion-influenced bimolecular reactions in solution. I. General formalism and relaxation kinetics of fast reversible reactions, J. Chem. Phys., 86(4), 1883-1903.
    • (1987) J. Chem. Phys. , vol.86 , Issue.4 , pp. 1883-1903
    • Sangyoub, L.1    Kaplus, M.2
  • 39
    • 0025585237 scopus 로고
    • An experimental investigation of variable density flow and mixing in homogeneous and heterogeneous media
    • Schincariol, R. A., and F. W. Schwartz (1990), An experimental investigation of variable density flow and mixing in homogeneous and heterogeneous media, Water Resour. Res., 26(10), 2317-2329.
    • (1990) Water Resour. Res , vol.26 , Issue.10 , pp. 2317-2329
    • Schincariol, R.A.1    Schwartz, F.W.2
  • 40
    • 2442703223 scopus 로고    scopus 로고
    • Carbonate dissolution and precipitation in coastal environments : Laboratory analysis and theoretical consideration
    • doi:10.1029/2003WR002651
    • Singurindy, O., B. Berkowitz, and R. P. Lowell (2004), Carbonate dissolution and precipitation in coastal environments : Laboratory analysis and theoretical consideration, Water Resour. Res., 40, W04401, doi:10.1029/ 2003WR002651.
    • (2004) Water Resour. Res , vol.40
    • Singurindy, O.1    Berkowitz, B.2    Lowell, R.P.3
  • 41
    • 37049037335 scopus 로고    scopus 로고
    • Effects of pore-scale dispersion, degree of heterogeneity, sampling size, and source volume on the concentration moments of conservative solutes in heterogeneous formations
    • Tonina, D., and A. Bellin (2008), Effects of pore-scale dispersion, degree of heterogeneity, sampling size, and source volume on the concentration moments of conservative solutes in heterogeneous formations, Adv. Water Resour., 31, 339-354.
    • (2008) Adv. Water Resour , vol.31 , pp. 339-354
    • Tonina, D.1    Bellin, A.2
  • 42
    • 0019727638 scopus 로고
    • Transport of ionexchanging solutes in groundwater: Chromatographic theory and field simulation
    • Valocchi, A. J., R. L. Street, and P. V. Roberts (1981), Transport of ionexchanging solutes in groundwater: Chromatographic theory and field simulation, Water Resour. Res., 17(5), 1517-1527.
    • (1981) Water Resour. Res , vol.17 , Issue.5 , pp. 1517-1527
    • Valocchi, A.J.1    Street, R.L.2    Roberts, P.V.3
  • 43
    • 33846630497 scopus 로고    scopus 로고
    • Enhanced mixing and reaction through flow focusing in heterogeneous porous media
    • DOI 10.1029/2005WR004511
    • Werth, C. J., O. A. Cirpka, and P. Grathwohl (2006), Enhanced mixing and reaction through flow focusing in heterogeneous porous media, Water Resour. Res., 42, W12414, doi:10.1029/2005WR004511. (Pubitemid 46184054)
    • (2006) Water Resources Research , vol.42 , Issue.12
    • Werth, C.J.1    Cirpka, O.A.2    Grathwohl, P.3
  • 44
    • 77955177885 scopus 로고    scopus 로고
    • Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media
    • doi:10.1029/2009WR007739
    • Willman, M., J. Carrera, X. Sanchez-Vila, O. Silva, and M. Dentz (2010), Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media, Water Resour. Res., 46, W07512, doi:10.1029/2009WR007739.
    • (2010) Water Resour. Res. , vol.46
    • Willman, M.1    Carrera, J.2    Sanchez-Vila, X.3    Silva, O.4    Dentz, M.5


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