메뉴 건너뛰기




Volumn 24, Issue 7, 2010, Pages 985-992

Probability density functions for advective-reactive transport in radial flow

Author keywords

Geochemistry; Heterogeneity; Stochastic modeling; Uncertainty quantification

Indexed keywords

HETEROGENEITY; HETEROGENEOUS CHEMICAL REACTION; HETEROGENEOUS POROUS MEDIUM; NONLINEAR REACTION; POINT SOURCES; PREDICTIVE UNCERTAINTY; QUANTITATIVE RISK ANALYSIS; RARE EVENT; REACTIVE SOLUTES; REACTIVE TRANSPORT; SEMI-ANALYTICAL SOLUTION; SOLID-PHASE; SOLUTE CONCENTRATIONS; STOCHASTIC MODELING; UNCERTAINTY QUANTIFICATIONS;

EID: 78249258404     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-010-0401-4     Document Type: Article
Times cited : (24)

References (27)
  • 1
    • 0035424726 scopus 로고    scopus 로고
    • Gaussian closure of one-dimensional unsaturated flow in randomly heterogeneous soils
    • Amir O, Neuman SP (2001) Gaussian closure of one-dimensional unsaturated flow in randomly heterogeneous soils. Transp Porous Media 44(2): 355-383.
    • (2001) Transp Porous Media , vol.44 , Issue.2 , pp. 355-383
    • Amir, O.1    Neuman, S.P.2
  • 2
    • 0742271073 scopus 로고    scopus 로고
    • Gaussian closure of transient unsaturated flow in random soils
    • Amir O, Neuman SP (2004) Gaussian closure of transient unsaturated flow in random soils. Transp Porous Media 54(1): 55-77.
    • (2004) Transp Porous Media , vol.54 , Issue.1 , pp. 55-77
    • Amir, O.1    Neuman, S.P.2
  • 3
    • 70349928640 scopus 로고    scopus 로고
    • On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media
    • doi:10.1016/j.advwatres.2009.08.008
    • Battiato I, Tartakovsky DM, Tartakovsky AM, Scheibe T (2009) On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media. Adv Water Resour 32: 1664-1673. doi: 10. 1016/j. advwatres. 2009. 08. 008.
    • (2009) Adv Water Resour , vol.32 , pp. 1664-1673
    • Battiato, I.1    Tartakovsky, D.M.2    Tartakovsky, A.M.3    Scheibe, T.4
  • 4
    • 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: 109-125.
    • (2007) J Contam Hydrol , vol.94 , pp. 109-125
    • Bellin, A.1    Tonina, D.2
  • 6
    • 0347595266 scopus 로고    scopus 로고
    • Another look at the conceptual fundamentals of porous media upscaling
    • doi:10.1007/s00477-003-0150-8
    • Christakos G (2003) Another look at the conceptual fundamentals of porous media upscaling. Stoch Environ Res Risk Assess 17(5): 276-290. doi: 10. 1007/s00477-003-0150-8.
    • (2003) Stoch Environ Res Risk Assess , vol.17 , Issue.5 , pp. 276-290
    • Christakos, G.1
  • 7
    • 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
  • 8
    • 0029414071 scopus 로고
    • Nonlocal reactive transport with physical and chemical heterogeneity: localization errors
    • Cushman JH, Hu BX, Deng FW (1995) Nonlocal reactive transport with physical and chemical heterogeneity: localization errors. Water Resour Res 31(9): 2219-2237.
    • (1995) Water Resour Res , vol.31 , Issue.9 , pp. 2219-2237
    • Cushman, J.H.1    Hu, B.X.2    Deng, F.W.3
  • 9
    • 33845993046 scopus 로고    scopus 로고
    • On application of stochastic modeling of groundwater flow and transport
    • doi:10.1007/s00477-004-0191-7
    • Dagan G (2004) On application of stochastic modeling of groundwater flow and transport. Stoch Environ Res Risk Assess 18(4): 266-267. doi: 10. 1007/s00477-004-0191-7.
    • (2004) Stoch Environ Res Risk Assess , vol.18 , Issue.4 , pp. 266-267
    • Dagan, G.1
  • 10
    • 0029676573 scopus 로고    scopus 로고
    • Reactive transport and immiscible flow in geological media. I. General theory
    • Dagan G, Cvetkovic V (1996) Reactive transport and immiscible flow in geological media. I. General theory. Proc Roy Soc Lond A 452: 285-301.
    • (1996) Proc Roy Soc Lond A , vol.452 , pp. 285-301
    • Dagan, G.1    Cvetkovic, V.2
  • 11
    • 0842269753 scopus 로고    scopus 로고
    • Upscaled effective rate constant for heterogeneous reactions
    • Lichtner PC, Tartakovsky DM (2003) Upscaled effective rate constant for heterogeneous reactions. Stoch Environ Res Risk Assess 17(6): 419-429.
    • (2003) Stoch Environ Res Risk Assess , vol.17 , Issue.6 , pp. 419-429
    • Lichtner, P.C.1    Tartakovsky, D.M.2
  • 12
    • 0029413093 scopus 로고
    • Perturbation and Gaussian methods for stochastic flow problems
    • doi:10.1016/0309-1708(94)00023-X
    • Nachabe MH, Morel-Seytoux HJ (1995) Perturbation and Gaussian methods for stochastic flow problems. Adv Water Resour 18(1): 1-8. doi: 10. 1016/0309-1708(94)00023-X.
    • (1995) Adv Water Resour , vol.18 , Issue.1 , pp. 1-8
    • Nachabe, M.H.1    Morel-Seytoux, H.J.2
  • 13
    • 0027456208 scopus 로고
    • Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: exact nonlocal formalism by conditional moments and weak approximation
    • Neuman SP (1993) Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: exact nonlocal formalism by conditional moments and weak approximation. Water Resour Res 29(3): 633-645.
    • (1993) Water Resour Res , vol.29 , Issue.3 , pp. 633-645
    • Neuman, S.P.1
  • 14
    • 33750022033 scopus 로고    scopus 로고
    • Stochastic groundwater models in practice
    • doi:10.1007/s00477-004-0192-6
    • Neuman SP (2004) Stochastic groundwater models in practice. Stoch Environ Res Risk Assess 18(4): 268-270. doi: 10. 1007/s00477-004-0192-6.
    • (2004) Stoch Environ Res Risk Assess , vol.18 , Issue.4 , pp. 268-270
    • Neuman, S.P.1
  • 15
    • 64849090484 scopus 로고    scopus 로고
    • Perspective on theories of anomalous transport in heterogeneous media
    • doi:10.1016/j.advwatres.2008.08.005
    • Neuman SP, Tartakovsky DM (2009) Perspective on theories of anomalous transport in heterogeneous media. Adv Water Resour 32(5): 670-680. doi: 10. 1016/j. advwatres. 2008. 08. 005.
    • (2009) Adv Water Resour , vol.32 , Issue.5 , pp. 670-680
    • Neuman, S.P.1    Tartakovsky, D.M.2
  • 16
    • 0003987999 scopus 로고    scopus 로고
    • Cambridge, UK: Cambridge University Press
    • Pope SB (2000) Turbulent flows. Cambridge University Press, Cambridge, UK.
    • (2000) Turbulent Flows
    • Pope, S.B.1
  • 17
    • 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(3): 243-266.
    • (2003) Transp Porous Media , vol.50 , Issue.3 , pp. 243-266
    • Shvidler, M.1    Karasaki, K.2
  • 19
    • 33847055453 scopus 로고    scopus 로고
    • Simulation of reactive transport and precipitation with smoothed particle hydrodynamics
    • Tartakovsky AM, Meakin P, Scheibe TD, West RME (2007) Simulation of reactive transport and precipitation with smoothed particle hydrodynamics. J Comp Phys 222: 654-672.
    • (2007) J Comp Phys , vol.222 , pp. 654-672
    • Tartakovsky, A.M.1    Meakin, P.2    Scheibe, T.D.3    West, R.M.E.4
  • 21
    • 34249881861 scopus 로고    scopus 로고
    • Probabilistic risk analysis in subsurface hydrology
    • doi:10.1029/2007GL029245
    • Tartakovsky DM (2007) Probabilistic risk analysis in subsurface hydrology. Geophys Res Lett 34: L05, 404. doi: 10. 1029/2007GL029245.
    • (2007) Geophys Res Lett , vol.34
    • Tartakovsky, D.M.1
  • 22
    • 0035441968 scopus 로고    scopus 로고
    • Prior mapping for nonlinear flows in random environments
    • doi:10.1103/PhysRevE.64.035302
    • Tartakovsky DM, Guadagnini A (2001) Prior mapping for nonlinear flows in random environments. Phys Rev E 64: 5302(R)-5305(R). doi: 10. 1103/PhysRevE. 64. 035302.
    • (2001) Phys Rev E , vol.64 , pp. 5302-5305
    • Tartakovsky, D.M.1    Guadagnini, A.2
  • 23
    • 0142230585 scopus 로고    scopus 로고
    • Stochastic averaging of nonlinear flows in heterogeneous porous media
    • doi:10.1017/S002211200300538X
    • Tartakovsky DM, Guadagnini A, Riva M (2003) Stochastic averaging of nonlinear flows in heterogeneous porous media. J Fluid Mech 492: 47-62. doi: 10. 1017/S002211200300538X.
    • (2003) J Fluid Mech , vol.492 , pp. 47-62
    • Tartakovsky, D.M.1    Guadagnini, A.2    Riva, M.3
  • 24
    • 69249121603 scopus 로고    scopus 로고
    • Probability density functions for advective-reactive transport in porous media with uncertain reaction rates
    • doi:10.1029/2008WR007383
    • Tartakovsky DM, Dentz M, Lichtner PC (2009) Probability density functions for advective-reactive transport in porous media with uncertain reaction rates. Water Resour Res 45: W07, 414. doi: 10. 1029/2008WR007383.
    • (2009) Water Resour Res , vol.45
    • Tartakovsky, D.M.1    Dentz, M.2    Lichtner, P.C.3
  • 25
    • 49449097678 scopus 로고    scopus 로고
    • A reduced complexity model for probabilistic risk assessment of groundwater contamination
    • doi:10.1029/2007WR006599
    • Winter CL, Tartakovsky DM (2008) A reduced complexity model for probabilistic risk assessment of groundwater contamination. Water Resour Res 44: W06, 501. doi: 10. 1029/2007WR006599.
    • (2008) Water Resour Res , vol.44
    • Winter, C.L.1    Tartakovsky, D.M.2
  • 26
    • 34249042611 scopus 로고    scopus 로고
    • Numerical methods for differential equations in random domains
    • Xiu D, Tartakovsky DM (2006) Numerical methods for differential equations in random domains. SIAM J Sci Comput 28(3): 1167-1185.
    • (2006) SIAM J Sci Comput , vol.28 , Issue.3 , pp. 1167-1185
    • Xiu, D.1    Tartakovsky, D.M.2
  • 27
    • 33847389454 scopus 로고    scopus 로고
    • Effective dispersion in a chemically heterogeneous medium under temporally fluctuating flow conditions
    • doi:10.1016/j.advwatres.2006.11.010
    • Zavala-Sanchez V, Dentz M, Sanchez-Vila X (2007) Effective dispersion in a chemically heterogeneous medium under temporally fluctuating flow conditions. Adv Water Resour 30(5): 1342-1354. doi: 10. 1016/j. advwatres. 2006. 11. 010.
    • (2007) Adv Water Resour , vol.30 , Issue.5 , pp. 1342-1354
    • Zavala-Sanchez, V.1    Dentz, M.2    Sanchez-Vila, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.