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Volumn 41, Issue 3, 2009, Pages 323-351

Conditional probability density functions of concentrations for mixing-controlled reactive transport in heterogeneous aquifers

Author keywords

Heterogeneou sporous media; Reactive transport

Indexed keywords

ADVECTION-DISPERSION EQUATION; AQUEOUS SPECIES; CONCENTRATION VALUES; CONDITIONAL MEANS; CONDITIONAL PROBABILITY DENSITY; CONFIDENCE INTERVAL; DILUTION EFFECT; DISPERSIVE FLUXES; GOVERNING EQUATIONS; HETEROGENEOU SPOROUS MEDIA; HETEROGENEOUS AQUIFERS; HETEROGENEOUS MEDIA; KEY FEATURE; LOCAL SCALE; LOW-ORDER MOMENTS; MONTE CARLO; NONLOCAL; PROBABILITY DENSITY FUNCTION (PDF); REACTIVE SOLUTES; REACTIVE SPECIES; REACTIVE TRANSPORT; REACTIVE TRANSPORT PROBLEMS; SOURCE TERMS; SPACE AND TIME; SPATIOTEMPORAL DISTRIBUTIONS; STRATIFIED MEDIA; TIME MOMENTS; TRANSPORT PROCESS; TRANSVERSE DISPERSION;

EID: 64249154514     PISSN: 18748961     EISSN: 18748953     Source Type: Journal    
DOI: 10.1007/s11004-008-9204-2     Document Type: Article
Times cited : (36)

References (56)
  • 1
    • 0032049847 scopus 로고    scopus 로고
    • Relative dispersion for solute flux in aquifers
    • Andricevic R, Cvetkovic V (1998) Relative dispersion for solute flux in aquifers. J Fluid Mech 361:145-174
    • (1998) J Fluid Mech , vol.361 , pp. 145-174
    • Andricevic, R.1    Cvetkovic, V.2
  • 2
    • 34848820544 scopus 로고    scopus 로고
    • Probability density function of non-reactive solute concentration in heterogeneous porous formations
    • Bellin A, Tonina D (2007) Probability density function of non-reactive solute concentration in heterogeneous porous formations. J Contam Hydrol 94(1-2):109-125
    • (2007) J Contam Hydrol , vol.94 , Issue.1-2 , pp. 109-125
    • Bellin, A.1    Tonina, D.2
  • 3
    • 0028669960 scopus 로고
    • Eulerian-Lagrangian approach for modeling of flow and transport in heterogeneous geological formations
    • Bellin A, Rubin Y, Rinaldo A (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
  • 4
    • 43049115315 scopus 로고    scopus 로고
    • Probabilistic dynamics of soil nitrate: Coupling of ecohydrological and biogeochemical processes
    • doi: 10.129/2007WR006108
    • Botter GE, Daly A, Porporato I, Rodriguez-Iturbe I, Rinaldo A (2008) Probabilistic dynamics of soil nitrate: Coupling of ecohydrological and biogeochemical processes. Water Resour Res 44:W03416. doi: 10.129/ 2007WR006108
    • (2008) Water Resour Res , vol.44
    • Botter, G.E.1    Daly, A.2    Porporato, I.3    Rodriguez-Iturbe, I.4    Rinaldo, A.5
  • 5
    • 14544300985 scopus 로고    scopus 로고
    • Analysis of concentration as sampled in natural aquifers
    • Caroni E, Fiorotto V (2005) Analysis of concentration as sampled in natural aquifers. Transp Porous Media 59(1):19-45
    • (2005) Transp Porous Media , vol.59 , Issue.1 , pp. 19-45
    • Caroni, E.1    Fiorotto, V.2
  • 6
    • 0000591233 scopus 로고
    • Probability distribution of a stochastically advected scalar field
    • Chen HD, Chen SY, Kraichnan RH (1989) Probability distribution of a stochastically advected scalar field. Phys Rev Lett 63(24):2657-2660
    • (1989) Phys Rev Lett , vol.63 , Issue.24 , pp. 2657-2660
    • Chen, H.D.1    Chen, S.Y.2    Kraichnan, R.H.3
  • 7
    • 34247117269 scopus 로고    scopus 로고
    • Two-dimensional concentration distribution for mixing-controlled bioreactive transport in steady state
    • Cirpka OA, Valocchi AJ (2007) Two-dimensional concentration distribution for mixing-controlled bioreactive transport in steady state. Adv Water Resour 30(6-7):1668-1679
    • (2007) Adv Water Resour , vol.30 , Issue.6-7 , pp. 1668-1679
    • Cirpka, O.A.1    Valocchi, A.J.2
  • 8
    • 33644837483 scopus 로고    scopus 로고
    • Determination of transverse dispersion coefficients from reactive plume lengths
    • Cirpka OA, Olsson Å, Ju Q, Rahman MA, Grathwohl P (2006) Determination of transverse dispersion coefficients from reactive plume lengths. Ground Water 44(2):212-221
    • (2006) Ground Water , vol.44 , Issue.2 , pp. 212-221
    • Cirpka, O.A.1    Olsson, Å.2    Ju, Q.3    Rahman, M.A.4    Grathwohl, P.5
  • 9
    • 43749089340 scopus 로고    scopus 로고
    • Concentration statistics for mixing-controlled reactive transport in random heterogeneous media
    • Cirpka OA, Schwede RL, Luo J, Dentz M (2008) Concentration statistics for mixing-controlled reactive transport in random heterogeneous media. J Contam Hydrol 98(1-2):61-74
    • (2008) J Contam Hydrol , vol.98 , Issue.1-2 , pp. 61-74
    • Cirpka, O.A.1    Schwede, R.L.2    Luo, J.3    Dentz, M.4
  • 11
    • 0027061829 scopus 로고
    • A solute flux approach in transport in heterogeneous formations: 2. Uncertainty analysis
    • Cvetkovic VD, Shapiro AM, Dagan G (1992) A solute flux approach in transport in heterogeneous formations: 2. Uncertainty analysis. Water Resour Res 28(5):1377-1388
    • (1992) Water Resour Res , vol.28 , Issue.5 , pp. 1377-1388
    • Cvetkovic, V.D.1    Shapiro, A.M.2    Dagan, G.3
  • 13
    • 0001484109 scopus 로고
    • Upscaling of dispersion coefficients in transport through heterogeneous porous formations
    • In: Kluwer Academic, Norwell
    • Dagan G (1994) Upscaling of dispersion coefficients in transport through heterogeneous porous formations. In: Computational methods in water resources X. Kluwer Academic, Norwell
    • (1994) Computational Methods in Water Resources X
    • Dagan, G.1
  • 14
    • 0034502612 scopus 로고    scopus 로고
    • Temporal behavior of a solute cloud in a heterogeneous porous medium 2. Spatially extended injection
    • Dentz M, Kinzelbach H, Attinger S, Kinzelbach W (2000) Temporal behavior of a solute cloud in a heterogeneous porous medium 2. Spatially extended injection. Water Resour Res 36(12):3605-3614
    • (2000) Water Resour Res , vol.36 , Issue.12 , pp. 3605-3614
    • Dentz, M.1    Kinzelbach, H.2    Attinger, S.3    Kinzelbach, W.4
  • 15
    • 29944441334 scopus 로고    scopus 로고
    • A procedure for the solution of multicomponent reactive transport problems
    • doi: 10.1029/2005WR004056
    • De Simoni M, Carrera J, Sanchez-Vila X, Guadagnini A (2005) A procedure for the solution of multicomponent reactive transport problems. Water Resour Res 41:W11410. doi: 10.1029/2005WR004056
    • (2005) Water Resour Res , vol.41
    • De Simoni, M.1    Carrera, J.2    Sanchez-Vila, X.3    Guadagnini, A.4
  • 16
    • 36649031653 scopus 로고    scopus 로고
    • A mixing ratios-based formulation for multicomponent reactive transport
    • doi: 10.1029/2006WR005256
    • De Simoni M, Sanchez-Vila X, Carrera J, Saaltink MW (2007) A mixing ratios-based formulation for multicomponent reactive transport. Water Resour Res 43:W07419. doi: 10.1029/2006WR005256
    • (2007) Water Resour Res , vol.43
    • De Simoni, M.1    Sanchez-Vila, X.2    Carrera, J.3    Saaltink, M.W.4
  • 17
    • 51549086274 scopus 로고    scopus 로고
    • Reaction rates and effective parameters in stratified aquifers
    • Fernandez-Garcia D, Sanchez-Vila X, Guadagnini A (2008) Reaction rates and effective parameters in stratified aquifers. Adv Water Res 31(10):1364-1376
    • (2008) Adv Water Res , vol.31 , Issue.10 , pp. 1364-1376
    • Fernandez-Garcia, D.1    Sanchez-Vila, X.2    Guadagnini, A.3
  • 18
    • 0035072732 scopus 로고    scopus 로고
    • The relative dispersion and mixing of passive solutes in transport in geologic media
    • Fiori A (2001) The relative dispersion and mixing of passive solutes in transport in geologic media. Transp Porous Media 42(1-2):69-83
    • (2001) Transp Porous Media , vol.42 , Issue.1-2 , pp. 69-83
    • Fiori, A.1
  • 19
    • 0033844573 scopus 로고    scopus 로고
    • Concentration fluctuations in aquifer transport: A rigorous first-order solution and applications
    • Fiori A, Dagan G (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
  • 20
    • 0036722540 scopus 로고    scopus 로고
    • Solute concentration statistics in heterogeneous aquifers for finite Peclet values
    • Fiorotto V, Caroni E (2002) Solute concentration statistics in heterogeneous aquifers for finite Peclet values. Transp Porous Media 48(3):331-351
    • (2002) Transp Porous Media , vol.48 , Issue.3 , pp. 331-351
    • Fiorotto, V.1    Caroni, E.2
  • 21
    • 0027101676 scopus 로고
    • Solute transport with multiple equilibrium-controlled or kinetically controlled chemical reactions
    • Friedly JC, Rubin J (1992) Solute transport with multiple equilibrium-controlled or kinetically controlled chemical reactions. Water Resour Res 28(6):1935-1953
    • (1992) Water Resour Res , vol.28 , Issue.6 , pp. 1935-1953
    • Friedly, J.C.1    Rubin, J.2
  • 22
    • 0020971569 scopus 로고
    • Three-dimensional stochastic analysis of macrodispersion in aquifers
    • Gelhar LW, Axness CL (1983) Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour Res 19(1):161-180
    • (1983) Water Resour Res , vol.19 , Issue.1 , pp. 161-180
    • Gelhar, L.W.1    Axness, C.L.2
  • 23
    • 84953025240 scopus 로고
    • Assumed beta-pdf model for turbulent mixing - Validation and extension to multiple scalar mixing
    • Girimaji SS (1991) Assumed beta-pdf model for turbulent mixing - validation and extension to multiple scalar mixing. Combust Sci Technol 78(4-6):177-196
    • (1991) Combust Sci Technol , vol.78 , Issue.4-6 , pp. 177-196
    • Girimaji, S.S.1
  • 24
    • 0346013231 scopus 로고    scopus 로고
    • Mean travel time of conservative solutes in randomly heterogeneous unbounded domains under mean uniform flow
    • doi: 10.1029/2002WR001811
    • Guadagnini A, Sanchez-Vila X, Riva M, De Simoni M (2003) Mean travel time of conservative solutes in randomly heterogeneous unbounded domains under mean uniform flow. Water Resour Res 39(3):1050. doi: 10.1029/ 2002WR001811
    • (2003) Water Resour Res , vol.39 , Issue.3 , pp. 1050
    • Guadagnini, A.1    Sanchez-Vila, X.2    Riva, M.3    De Simoni, M.4
  • 25
    • 67349248108 scopus 로고    scopus 로고
    • Application of a mixing-ratios based formulation to model mixing-driven dissolution laboratory experiments
    • doi: 10.1016/j.advwaters.2008.07.005
    • Guadagnini A, Sanchez-Vila X, Saaltink MW, Bussini M, Berkowitz B (2008) Application of a mixing-ratios based formulation to model mixing-driven dissolution laboratory experiments. Adv Water Resour. doi: 10.1016/ j.advwaters.2008.07.005
    • (2008) Adv Water Resour
    • Guadagnini, A.1    Sanchez-Vila, X.2    Saaltink, M.W.3    Bussini, M.4    Berkowitz, B.5
  • 26
    • 4344717158 scopus 로고    scopus 로고
    • Effects of hydrodynamic dispersion on plume lengths for instantaneous bimolecular reactions
    • Ham PAS, Schotting RJ, Prommer H, Davis GB (2004) Effects of hydrodynamic dispersion on plume lengths for instantaneous bimolecular reactions. Adv Water Resour 27(8):803-813
    • (2004) Adv Water Resour , vol.27 , Issue.8 , pp. 803-813
    • Ham, P.A.S.1    Schotting, R.J.2    Prommer, H.3    Davis, G.B.4
  • 27
    • 0027098993 scopus 로고
    • Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 3. Hydraulic conductivity variability and calculated macrodispersivities
    • Hess KM, Wolf SH, Celia MA (1992) Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 3. Hydraulic conductivity variability and calculated macrodispersivities. Water Resour Res 28(8):2011-2017
    • (1992) Water Resour Res , vol.28 , Issue.8 , pp. 2011-2017
    • Hess, K.M.1    Wolf, S.H.2    Celia, M.A.3
  • 28
    • 0029414051 scopus 로고
    • Nonlocal reactive transport with physical and chemical heterogeneity: Linear nonequilibrium sorption with random Kd
    • Hu BX, Deng F-W, Cushman JH (1995) Nonlocal reactive transport with physical and chemical heterogeneity: Linear nonequilibrium sorption with random Kd. Water Resour Res 31(9):2239-2252
    • (1995) Water Resour Res , vol.31 , Issue.9 , pp. 2239-2252
    • Hu, B.X.1    Deng, F.-W.2    Cushman, J.H.3
  • 29
    • 0028667825 scopus 로고
    • Transport in three-dimensionally heterogeneous aquifers. 1. Dynamics of concentration fluctuations
    • Kapoor V, Gelhar LW (1994) 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
  • 30
    • 0031981272 scopus 로고    scopus 로고
    • Concentration fluctuations and dilution in aquifers
    • Kapoor V, Kitanidis PK (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
  • 31
    • 0028667835 scopus 로고
    • The concept of the dilution index
    • Kitanidis PK (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
  • 32
    • 0347927631 scopus 로고    scopus 로고
    • Conditional moments of the breakthrough curves of kinetically sorbing solute in heterogeneous porous media using multirate mass transfer models for sorption and desorption
    • Article Number 1248
    • Lawrence AE, Sanchez-Vila X, Rubin Y (2002) Conditional moments of the breakthrough curves of kinetically sorbing solute in heterogeneous porous media using multirate mass transfer models for sorption and desorption. Water Resour Res 38(11), Article Number 1248
    • (2002) Water Resour Res , vol.38 , Issue.11
    • Lawrence, A.E.1    Sanchez-Vila, X.2    Rubin, Y.3
  • 33
    • 27244447775 scopus 로고    scopus 로고
    • Continuous formulation of multicomponent-multiphase reactive transport
    • In: Lichtner PC, Steefel CI, Oeklers EH (eds) Miner Soc Amer, Washington
    • Lichtner PC (1996) Continuous formulation of multicomponent-multiphase reactive transport. In: Lichtner PC, Steefel CI, Oeklers EH (eds) Reactive transport in porous media. Reviews in mineralogy, vol 34. Miner Soc Amer, Washington, pp 1-81
    • (1996) Reactive Transport in Porous Media. Reviews in Mineralogy , vol.34 , pp. 1-81
    • Lichtner, P.C.1
  • 34
    • 0842269753 scopus 로고    scopus 로고
    • Stochastic analysis of effective rate constant for heterogeneous reactions
    • Lichtner PC, Tartakovsky DM (2003) Stochastic analysis of effective rate constant for heterogeneous reactions. Stoch Env Res Risk Assess 17(6):419-429
    • (2003) Stoch Env Res Risk Assess , vol.17 , Issue.6 , pp. 419-429
    • Lichtner, P.C.1    Tartakovsky, D.M.2
  • 36
    • 41149121488 scopus 로고    scopus 로고
    • Effective reaction parameters for mixing controlled reactions in heterogeneous media
    • doi: 10.1029/2006WR005658
    • Luo J, Dentz M, Carrera J, Kitanidis PK (2008) Effective reaction parameters for mixing controlled reactions in heterogeneous media. Water Resour Res 44(2):W02416. doi: 10.1029/2006WR005658
    • (2008) Water Resour Res , vol.44 , Issue.2
    • Luo, J.1    Dentz, M.2    Carrera, J.3    Kitanidis, P.K.4
  • 37
    • 9644254218 scopus 로고    scopus 로고
    • A formulation for decoupling components in reactive transport problems
    • doi: 10.1029/2003WR002970
    • Molins S, Carrera J, Ayora C, Saaltink MW (2004) A formulation for decoupling components in reactive transport problems. Water Resour Res 40(10):W10301. doi: 10.1029/2003WR002970
    • (2004) Water Resour Res , vol.40 , Issue.10
    • Molins, S.1    Carrera, J.2    Ayora, C.3    Saaltink, M.W.4
  • 38
    • 84945098599 scopus 로고
    • A quasi-linear theory of non-Fickian subsurface dispersion, 1. Theoretical analysis with application to isotropic media
    • Neuman SP, Zhang Y-K (1990) A quasi-linear theory of non-Fickian subsurface dispersion, 1. Theoretical analysis with application to isotropic media. Water Resour Res 26(5):887-902
    • (1990) Water Resour Res , vol.26 , Issue.5 , pp. 887-902
    • Neuman, S.P.1    Zhang, Y.-K.2
  • 39
    • 0002636519 scopus 로고    scopus 로고
    • User's guide to PHREEQC (Version2) - A computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations
    • Parkhurst DL, Appelo CAJ (1999) User's guide to PHREEQC (Version2) - a computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations. US Geological Survey water-resources investigations report 99-4259
    • (1999) US Geological Survey Water-resources Investigations Report , pp. 99-4259
    • Parkhurst, D.L.1    Appelo, C.A.J.2
  • 41
    • 0019369633 scopus 로고
    • Transport equation for the joint probability density function of velocity and scalars in turbulent flow
    • Pope SB (1981) Transport equation for the joint probability density function of velocity and scalars in turbulent flow. Phys Fluids 24(4):588-596
    • (1981) Phys Fluids , vol.24 , Issue.4 , pp. 588-596
    • Pope, S.B.1
  • 42
    • 0027871606 scopus 로고
    • Stochastic analysis of the transport of kinetically sorbing solutes in aquifers with randomly heterogeneous hydraulic conductivity
    • Quinodoz HAM, Valocchi AJ (1993) Stochastic analysis of the transport of kinetically sorbing solutes in aquifers with randomly heterogeneous hydraulic conductivity. Water Resour Res 29(9):3227-3240
    • (1993) Water Resour Res , vol.29 , Issue.9 , pp. 3227-3240
    • Quinodoz, H.A.M.1    Valocchi, A.J.2
  • 43
    • 0031954171 scopus 로고    scopus 로고
    • Effective parameters in heterogeneous and homogeneous transport models with kinetic sorption
    • Reichle R, Kinzelbach W, Kinzelbach H (1998) Effective parameters in heterogeneous and homogeneous transport models with kinetic sorption. Water Resour Res 34(4):583-594
    • (1998) Water Resour Res , vol.34 , Issue.4 , pp. 583-594
    • Reichle, R.1    Kinzelbach, W.2    Kinzelbach, H.3
  • 44
    • 29144457479 scopus 로고    scopus 로고
    • Travel time and trajectory moments of conservative solutes in two-dimensional convergent flows
    • Riva M, Sanchez-Vila X, Guadagnini A, De Simoni M, Willmann M (2006) Travel time and trajectory moments of conservative solutes in two-dimensional convergent flows. J Contam Hydrol 82:23-43
    • (2006) J Contam Hydrol , vol.82 , pp. 23-43
    • Riva, M.1    Sanchez-Vila, X.2    Guadagnini, A.3    De Simoni, M.4    Willmann, M.5
  • 45
    • 52949121016 scopus 로고    scopus 로고
    • Relative importance of geostatistical and transport models in describing heavily tailed breakthrough curves at the Lauswiesen site
    • Riva M, Guadagnini A, Fernandez-Garcia D, Sanchez-Vila X, Ptak T (2008a) Relative importance of geostatistical and transport models in describing heavily tailed breakthrough curves at the Lauswiesen site. J Contam Hydrol 101(1-4):1-13
    • (2008) J Contam Hydrol , vol.101 , Issue.1-4 , pp. 1-13
    • Riva, M.1    Guadagnini, A.2    Fernandez-Garcia, D.3    Sanchez-Vila, X.4    Ptak, T.5
  • 46
    • 64249108005 scopus 로고    scopus 로고
    • Effect of sorption heterogeneity on moments of solute residence time in convergent flows
    • submitted
    • Riva M, Guadagnini A, Sanchez-Vila X (2008b) Effect of sorption heterogeneity on moments of solute residence time in convergent flows. Comput Geosci, submitted
    • (2008) Comput Geosci
    • Riva, M.1    Guadagnini, A.2    Sanchez-Vila, X.3
  • 47
    • 0034635207 scopus 로고    scopus 로고
    • Efficient numerical techniques for modeling multicomponent ground-water transport based upon simultaneous solution of strongly coupled subsets of chemical components
    • Robinson BA, Viswanathan HS, Valocchi AJ (2000) Efficient numerical techniques for modeling multicomponent ground-water transport based upon simultaneous solution of strongly coupled subsets of chemical components. Adv Water Resour 23(4):307-324
    • (2000) Adv Water Resour , vol.23 , Issue.4 , pp. 307-324
    • Robinson, B.A.1    Viswanathan, H.S.2    Valocchi, A.J.3
  • 48
    • 0001543646 scopus 로고
    • Solute transport with multisegment, equilibrium-controlled reactions: A feed forward simulation method
    • Rubin J (1990) Solute transport with multisegment, equilibrium-controlled reactions: A feed forward simulation method. Water Resour Res 26(9):2029-2055
    • (1990) Water Resour Res , vol.26 , Issue.9 , pp. 2029-2055
    • Rubin, J.1
  • 49
    • 0031810813 scopus 로고    scopus 로고
    • A mathematical formulation for reactive transport that eliminates mineral concentrations
    • Saaltink MW, Ayora C, Carrera J (1998) A mathematical formulation for reactive transport that eliminates mineral concentrations. Water Resour Res 34(7):1649-1656
    • (1998) Water Resour Res , vol.34 , Issue.7 , pp. 1649-1656
    • Saaltink, M.W.1    Ayora, C.2    Carrera, J.3
  • 50
    • 14844366984 scopus 로고    scopus 로고
    • Travel time and trajectory moments of conservative solutes in three dimensional heterogeneous porous media under mean uniform flow
    • Sanchez-Vila X, Guadagnini A (2005) Travel time and trajectory moments of conservative solutes in three dimensional heterogeneous porous media under mean uniform flow. Adv Water Res 28:429-439
    • (2005) Adv Water Res , vol.28 , pp. 429-439
    • Sanchez-Vila, X.1    Guadagnini, A.2
  • 51
    • 0037370589 scopus 로고    scopus 로고
    • Probability density functions for solute transport in random field
    • Shvidler M, Karasaki K (2003) Probability density functions for solute transport in random field. Transp Porous Media 50:243-266
    • (2003) Transp Porous Media , vol.50 , pp. 243-266
    • Shvidler, M.1    Karasaki, K.2
  • 52
    • 2442703223 scopus 로고    scopus 로고
    • Carbonate dissolution and precipitation in coastal environments: Laboratory analysis and theoretical consideration
    • doi: 10.1029/2003WR002651
    • Singurindy O, Berkowitz B, Lowell RP (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
  • 54
    • 0032144650 scopus 로고    scopus 로고
    • Multicomponent transport with coupled geochemical and microbiological reactions: Model description and example simulations
    • Tebes-Stevens C, Valocchi AJ, VanBriesen JM, Rittmann BE (1998) Multicomponent transport with coupled geochemical and microbiological reactions: Model description and example simulations. J Hydrol 209(1-4):8-26
    • (1998) J Hydrol , vol.209 , Issue.1-4 , pp. 8-26
    • Tebes-Stevens, C.1    Valocchi, A.J.2    VanBriesen, J.M.3    Rittmann, B.E.4
  • 55
    • 0034937580 scopus 로고    scopus 로고
    • Concentration variance and spatial covariance in second-order stationary heterogeneous conductivity fields
    • Vanderborght J (2001) Concentration variance and spatial covariance in second-order stationary heterogeneous conductivity fields. Water Resour Res 37(7):1893-1912
    • (2001) Water Resour Res , vol.37 , Issue.7 , pp. 1893-1912
    • Vanderborght, J.1
  • 56
    • 0026304717 scopus 로고
    • A model for simulating transport of reactive multispecies components: Model development and demonstration
    • Yeh GT, Tripathi VS (1991) A model for simulating transport of reactive multispecies components: Model development and demonstration. Water Resour Res 27(12):3075-3094
    • (1991) Water Resour Res , vol.27 , Issue.12 , pp. 3075-3094
    • Yeh, G.T.1    Tripathi, V.S.2


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