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Volumn 48, Issue 2, 2012, Pages

Effect of spatial concentration fluctuations on effective kinetics in diffusion-reaction systems

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; ASYMPTOTIC REGIMES; AVERAGE CONCENTRATION; COEFFICIENT OF VARIATION; DIFFUSION-REACTION EQUATION; DIFFUSION-REACTION SYSTEMS; INITIAL CONCENTRATION; NUMERICAL STUDIES; RANDOM FIELDS; RANDOM INITIAL CONDITIONS; SPATIAL CONCENTRATION; TRANSITION TIME;

EID: 84857418027     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011WR010720     Document Type: Article
Times cited : (31)

References (38)
  • 1
    • 79251636738 scopus 로고    scopus 로고
    • Applicability regimes for macroscopic models of reactive transport in porous media
    • Battiato, I., and D. Tartakovsky (2011), Applicability regimes for macroscopic models of reactive transport in porous media, J. Contam. Hydrol., 120-121, 18-26.
    • (2011) J. Contam. Hydrol. , vol.120-121 , pp. 18-26
    • Battiato, I.1    Tartakovsky, D.2
  • 2
    • 70349928640 scopus 로고    scopus 로고
    • On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media
    • Battiato, I., D. Tartakovsky, A. Tartakovsky, and T. Scheibe (2009), On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media, Adv. Water Resour., 32, 1664-1673.
    • (2009) Adv. Water Resour. , vol.32 , pp. 1664-1673
    • Battiato, I.1    Tartakovsky, D.2    Tartakovsky, A.3    Scheibe, T.4
  • 3
    • 59649086031 scopus 로고    scopus 로고
    • Simulation of chemical reaction via particle tracking: Diffusion-limited versus thermodynamic rate-limited regimes
    • doi:10.1029/2008 WR007111
    • Benson, D., and M. Meerschaert (2008), Simulation of chemical reaction via particle tracking: Diffusion-limited versus thermodynamic rate-limited regimes, Water Resour. Res., 44, W12201, doi:10.1029/2008 WR007111.
    • (2008) Water Resour. Res. , vol.44
    • Benson, D.1    Meerschaert, M.2
  • 4
    • 77956106644 scopus 로고    scopus 로고
    • Anomalous mixing and reaction induced by superdiffusive nonlocal transport
    • Bolster, D., D. Benson, T. Le Borgne, and M. Dentz (2010), Anomalous mixing and reaction induced by superdiffusive nonlocal transport, Phys. Rev. E, 82, 021119.
    • (2010) Phys. Rev. e , vol.82 , pp. 021119
    • Bolster, D.1    Benson, D.2    Le Borgne, T.3    Dentz, M.4
  • 7
    • 80855134368 scopus 로고    scopus 로고
    • Anomalous kinetics in diffusion limited reactions linked to non-gaussian concentration
    • doi:10.1063/1.3655895
    • de Anna, P., T. Le Borgne, M. Dentz, D. Bolster, and P. Davy (2011), Anomalous kinetics in diffusion limited reactions linked to non-Gaussian concentration, J. Chem. Phys., 135, 174104, doi:10.1063/1.3655895.
    • (2011) J. Chem. Phys. , vol.135 , pp. 174104
    • De Anna, P.1    Le Borgne, T.2    Dentz, M.3    Bolster, D.4    Davy, P.5
  • 8
    • 79251615810 scopus 로고    scopus 로고
    • Effective non-local reaction kinetics for transport in physically and chemically heterogeneous media
    • Dentz, M., P. Gouze, and J. Carrera (2011), Effective non-local reaction kinetics for transport in physically and chemically heterogeneous media, J. Contam. Hydrol., 120-121, 222-236.
    • (2011) J. Contam. Hydrol. , vol.120-121 , pp. 222-236
    • Dentz, M.1    Gouze, P.2    Carrera, J.3
  • 9
    • 72149102962 scopus 로고    scopus 로고
    • Multicomponent reactive transport in multicontinuum media
    • doi:10.1029/2008WR006823
    • Donado, L., 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.1    Sanchez-Vila, X.2    Dentz, M.3    Carrera, J.4    Bolster, D.5
  • 10
    • 62749111500 scopus 로고    scopus 로고
    • Modeling bimolecular reactions and transport in porous media
    • doi:10.1029/2008GL036381
    • Edery, Y., H. Scher, and B. Berkowitz (2009), Modeling bimolecular reactions and transport in porous media, Geophys. Res. Lett., 36, L02407, doi:10.1029/2008GL036381.
    • (2009) Geophys. Res. Lett. , vol.36
    • Edery, Y.1    Scher, H.2    Berkowitz, B.3
  • 11
    • 77955179205 scopus 로고    scopus 로고
    • Particle tracking model of bimolecular reactive transport in porous media
    • doi:10.1029/2009WR009017
    • Edery, Y., H. Scher, and B. Berkowitz (2010), Particle tracking model of bimolecular reactive transport in porous media, Water Resour. Res., 46, W07524, doi:10.1029/2009WR009017.
    • (2010) Water Resour. Res. , vol.46
    • Edery, Y.1    Scher, H.2    Berkowitz, B.3
  • 13
    • 0013601783 scopus 로고
    • Homogeneous turbulent mixing with chemical reactions
    • Hill, J. (1976), Homogeneous turbulent mixing with chemical reactions, Annu. Rev. Fluid Mech., 8, 135-161.
    • (1976) Annu. Rev. Fluid Mech. , vol.8 , pp. 135-161
    • Hill, J.1
  • 14
    • 79954911281 scopus 로고    scopus 로고
    • Divergence of solutions to perturbation-based advection-dispersion moment equations
    • doi:10.1016/j.advwatres.2011.03.002
    • Jarman, K., and A. Tartakovsky (2011), Divergence of solutions to perturbation-based advection-dispersion moment equations, Adv. Water Resour., 34, 659670, doi:10.1016/j.advwatres.2011.03.002.
    • (2011) Adv. Water Resour. , vol.34 , pp. 659670
    • Jarman, K.1    Tartakovsky, A.2
  • 15
    • 18144379672 scopus 로고
    • Fluctuation-dominated kinetics in diffusion controlled reactions
    • Kang, K., and S. Redner (1985), Fluctuation-dominated kinetics in diffusion controlled reactions, Phys. Rev. A, 32, 435-447.
    • (1985) Phys. Rev. A , vol.32 , pp. 435-447
    • Kang, K.1    Redner, S.2
  • 16
    • 78649633350 scopus 로고    scopus 로고
    • Non-fickian mixing: Temporal evolution of the scalar dissipation rate in heterogeneous porous media
    • Le Borgne, T., M. Dentz, D. Bolster, J. Carrera, J. de Dreuzy, and P. Davy (2010), Non-Fickian mixing: Temporal evolution of the scalar dissipation rate in heterogeneous porous media, Adv. Water Resour., 33, 1468-1475.
    • (2010) Adv. Water Resour. , vol.33 , pp. 1468-1475
    • Le Borgne, T.1    Dentz, M.2    Bolster, D.3    Carrera, J.4    De Dreuzy, J.5    Davy, P.6
  • 18
    • 67349184303 scopus 로고    scopus 로고
    • An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media
    • doi:10.1016/j.advwatres.2008.09.003
    • Lin, G., and A. M. Tartakovsky (2009), An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media, Adv. Water Resour., 32, 712-722, doi:10.1016/j.advwatres.2008.09.003.
    • (2009) Adv. Water Resour. , vol.32 , pp. 712-722
    • Lin, G.1    Tartakovsky, A.M.2
  • 19
    • 77951101171 scopus 로고    scopus 로고
    • Numerical studies of three-dimensional stochastic darcy's equation and stochastic advection-diffusion-dispersion equation
    • doi:10.1007/s10915-010-9346-5
    • Lin, G., and A. M. Tartakovsky (2010), Numerical studies of three-dimensional stochastic Darcy's equation and stochastic advection-diffusion-dispersion equation, J. Sci. Comput., 43, 92-117, doi:10.1007/s10915-010-9346-5.
    • (2010) J. Sci. Comput. , vol.43 , pp. 92-117
    • Lin, G.1    Tartakovsky, A.M.2
  • 20
    • 77955273587 scopus 로고    scopus 로고
    • Random domain decomposition for probabilistic collocation on sparse grids
    • doi:10.1016/j.jcp.2010.05.036
    • Lin, G., A. M. Tartakovsky, and D. M. Tartakovsky (2010), Random domain decomposition for probabilistic collocation on sparse grids, J. Com-put. Phys., 229, 6995-7012, doi:10.1016/j.jcp.2010.05.036.
    • (2010) J. Com-put. Phys. , vol.229 , pp. 6995-7012
    • Lin, G.1    Tartakovsky, A.M.2    Tartakovsky, D.M.3
  • 21
    • 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
  • 22
    • 42749105980 scopus 로고    scopus 로고
    • Nonclassical kinetics of an elementary A B C reaction-diffusion system showing effects of A speckled initial reactant distribution and eventual self-segregation: Experiments
    • doi:10.1103/PhysRevE.69.021103
    • Monson, E., and R. Kopelman (2004), Nonclassical kinetics of an elementary A B C reaction-diffusion system showing effects of a speckled initial reactant distribution and eventual self-segregation: Experiments, Phys. Rev. E, 69, 021103, doi:10.1103/PhysRevE.69.021103.
    • (2004) Phys. Rev. e , vol.69 , pp. 021103
    • Monson, E.1    Kopelman, R.2
  • 23
    • 33746357914 scopus 로고    scopus 로고
    • Non-local and localized analyses of non-reactive solute transport in bounded randomly heterogeneous porous media: Theoretical framework
    • DOI 10.1016/j.advwatres.2005.10.002, PII S0309170805002447
    • Morales-Casique, E., S. Neuman, and A. Guadagnini (2006), Non-local and localized analyses of non-reactive solute transport in bounded randomly heterogeneous porous media: Theoretical framework, Adv. Water Res., 29, 123855, doi:10.1016/j.advwatres.2005.10.002. (Pubitemid 44109098)
    • (2006) Advances in Water Resources , vol.29 , Issue.8 , pp. 1238-1255
    • Morales-Casique, E.1    Neuman, S.P.2    Guadagnini, A.3
  • 24
    • 0037409138 scopus 로고    scopus 로고
    • Large scale mixing for immiscible displacement in heterogeneous porous media
    • DOI 10.1023/A:1022370927468
    • Neuweiler, I., S. Attinger, W. Kinzelbach, and P. King (2003), Large scale mixing for immiscible displacement in heterogeneous porous media, Transp. Porous Media, 51, 287-314. (Pubitemid 36370923)
    • (2003) Transport in Porous Media , vol.51 , Issue.3 , pp. 287-314
    • Neuweiler, I.1    Attinger, S.2    Kinzelbach, W.3    King, P.4
  • 25
    • 4243056171 scopus 로고
    • Role of density fluctuations in bi-molecular reaction kinetics
    • Ovchinnikov, A., and Y. Zeldovich (1978), Role of density fluctuations in bi-molecular reaction kinetics, Chem. Phys., 28, 215-218.
    • (1978) Chem. Phys. , vol.28 , pp. 215-218
    • Ovchinnikov, A.1    Zeldovich, Y.2
  • 26
    • 0034177525 scopus 로고    scopus 로고
    • Experimental study of bimolecular reaction kinetics in porous media
    • DOI 10.1021/es9908669
    • Raje, D., and V. Kapoor (2000), Experimental study of biomolecular reaction kinetics in porous media, Environ. Sci. Technol., 34, 1234-1239. (Pubitemid 30186017)
    • (2000) Environmental Science and Technology , vol.34 , Issue.7 , pp. 1234-1239
    • Raje, D.S.1    Kapoor, V.2
  • 27
    • 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 (2008), 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.
    • (2008) Math. Geosci. , vol.41 , pp. 323-351
    • Sanchez-Vila, X.1    Guadagnini, A.2    Fernandez-Garcia, D.3
  • 28
    • 78649923340 scopus 로고    scopus 로고
    • Interpretation of column experiments of transport of solutes undergoing an irreversible bimolecular reaction using a continuum approximation
    • doi:10.1029/2010WR009539
    • Sanchez-Vila, X., D. Fernandez-Garcia, and A. Guadagnini (2010), Interpretation of column experiments of transport of solutes undergoing an irreversible bimolecular reaction using a continuum approximation, Water Resour. Res., 46, W12510, doi:10.1029/2010WR009539.
    • (2010) Water Resour. Res. , vol.46
    • Sanchez-Vila, X.1    Fernandez-Garcia, D.2    Guadagnini, A.3
  • 29
    • 77955569629 scopus 로고    scopus 로고
    • Langevin model for reactive transport in porous media
    • Tartakovsky, A. (2010), Langevin model for reactive transport in porous media, Phys. Rev. E, 82, 026302.
    • (2010) Phys. Rev. e , vol.82 , pp. 026302
    • Tartakovsky, A.1
  • 30
    • 0345330825 scopus 로고    scopus 로고
    • Immiscible front evolution in randomly heterogeneous porous media
    • DOI 10.1063/1.1612944
    • Tartakovsky, A. M., S. P. Neuman, and R. Lenhard (2003), Immiscible front evolution in randomly heterogeneous porous media, Phys. Fluids, 15(11), 3331-3341. (Pubitemid 37450199)
    • (2003) Physics of Fluids , vol.15 , Issue.11 , pp. 3331-3341
    • Tartakovsky, A.M.1    Neuman, S.P.2    Lenhard, R.J.3
  • 31
    • 10644267306 scopus 로고    scopus 로고
    • Transient flow in a heterogeneous vadose zone with uncertain parameters
    • Tartakovsky, A. M., L. Garcia-Naranjo, and D. M. Tartakovsky (2004a), Transient flow in a heterogeneous vadose zone with uncertain parameters, Vadose Zone J., 3(1), 154-163.
    • (2004) Vadose Zone J. , vol.3 , Issue.1 , pp. 154-163
    • Tartakovsky, A.M.1    Garcia-Naranjo, L.2    Tartakovsky, D.M.3
  • 32
    • 10644266124 scopus 로고    scopus 로고
    • Stochastic analysis of immiscible displacement of the fluids with arbitrary viscosities and its dependence on support scale of hydrological data
    • DOI 10.1016/j.advwatres.2004.09.003, PII S0309170804001617
    • Tartakovsky, A. M., P. Meakin, and H. Huang (2004b), Stochastic analysis of immiscible displacement of the fluids with arbitrarily viscosities and its dependence on support scale of hydrological data, Adv. Water Resour., 27, 1151-1166. (Pubitemid 39660598)
    • (2004) Advances in Water Resources , vol.27 , Issue.12 , pp. 1151-1166
    • Tartakovsky, A.M.1    Meakin, P.2    Huang, H.3
  • 33
    • 47949119506 scopus 로고    scopus 로고
    • Stochastic langevin model for flow and transport in porous media
    • doi:10.1103/PhysRevLett.101.044502
    • Tartakovsky, A. M., D. M. Tartakovsky, and P. Meakin (2008), Stochastic Langevin model for flow and transport in porous media, Phys. Rev. Lett., 101, 044502, doi:10.1103/PhysRevLett.101.044502.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 044502
    • Tartakovsky, A.M.1    Tartakovsky, D.M.2    Meakin, P.3
  • 34
    • 70349886558 scopus 로고    scopus 로고
    • Effects of incomplete mixing on multicomponent reactive transport
    • Tartakovsky, A. M., G. D. Tartakovsky, and T. D. Scheibe (2009), Effects of incomplete mixing on multicomponent reactive transport, Adv. Water Resour., 32, 1674-1679.
    • (2009) Adv. Water Resour. , vol.32 , pp. 1674-1679
    • Tartakovsky, A.M.1    Tartakovsky, G.D.2    Scheibe, T.D.3
  • 35
    • 0036779098 scopus 로고    scopus 로고
    • Localization of mean flow and apparent transmissivity tensor for bounded randomly heterogeneous aquifers
    • DOI 10.1023/A:1016092910797
    • Tartakovsky, D. M., A. Guadagnini, F. Ballio, and A. M. Tartakovsky (2002), Localization of mean flow and apparent transmissivity tensor for bounded randomly heterogeneous aquifers, Transp. Porous Media, 49(1), 41-58. (Pubitemid 34853913)
    • (2002) Transport in Porous Media , vol.49 , Issue.1 , pp. 41-58
    • Tartakovsky, D.M.1    Guadagnini, A.2    Ballio, F.3    Tartakovsky, A.M.4
  • 36
    • 0037407457 scopus 로고    scopus 로고
    • Unsaturated flow in heterogeneous soils with spatially distributed uncertain hydraulic parameters
    • DOI 10.1016/S0022-1694(03)00042-8
    • Tartakovsky, D. M., Z. Lu, A. Guadagnini, and A. M. Tartakovsky (2003), Unsaturated flow in heterogeneous soils with spatially distributed uncertain hydraulic parameters, J. Hydrol., 275, 182-193. (Pubitemid 36521805)
    • (2003) Journal of Hydrology , vol.275 , Issue.3-4 , pp. 182-193
    • Tartakovsky, D.M.1    Lu, Z.2    Guadagnini, A.3    Tartakovsky, A.M.4
  • 37
    • 33744877288 scopus 로고
    • Particle-antiparticle annihilation in diffusive motion
    • Toussaint, D., and F. Wilczek (1983), Particle-antiparticle annihilation in diffusive motion, J. Chem. Phys., 78, 2642-2647.
    • (1983) J. Chem. Phys. , vol.78 , pp. 2642-2647
    • Toussaint, D.1    Wilczek, F.2
  • 38
    • 77955177885 scopus 로고    scopus 로고
    • Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media
    • doi:10.1029/2009WR007739
    • Willmann, 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
    • Willmann, M.1    Carrera, J.2    Sanchez-Vila, X.3    Silva, O.4    Dentz, M.5


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