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Volumn 223, Issue 7, 2012, Pages 4183-4197

Reactive transport parameter estimation and global sensitivity analysis using sparse polynomial chaos expansion

Author keywords

Global sensitivity analysis; Metamodel; Parameter estimation; Reactive transport; Sparse polynomial chaos expansion

Indexed keywords

ADAPTIVE PROCEDURE; DIRECT MODEL; FIELD EXPERIMENT; FREUNDLICH SORPTION; GLOBAL SENSITIVITY ANALYSIS; ION EXCHANGE REACTIONS; META MODEL; PARAMETER OPTIMIZATION; POLYNOMIAL CHAOS EXPANSION; REACTIVE TRANSPORT; REACTIVE TRANSPORT PROBLEMS; SPARSE POLYNOMIALS;

EID: 84865453342     PISSN: 00496979     EISSN: 15732932     Source Type: Journal    
DOI: 10.1007/s11270-012-1183-8     Document Type: Article
Times cited : (28)

References (46)
  • 1
    • 33744784853 scopus 로고    scopus 로고
    • Parameter estimation for reactive transport by a Monte-Carlo approach
    • DOI 10.1002/aic.10813
    • M Aggarwal J Carrayrou 2006 Parameter estimation for reactive transport by a Monte Carlo approach AICHE Journal 52 2281 2289 10.1002/aic.10813 1:CAS:528:DC%2BD28Xlt1Wmurs%3D (Pubitemid 43837627)
    • (2006) AIChE Journal , vol.52 , Issue.6 , pp. 2281-2289
    • Aggarwal, M.1    Carrayrou, J.2
  • 2
    • 0030265324 scopus 로고    scopus 로고
    • Alternative split operator approach for solving chemical reaction/groundwater transports model
    • 10.1016/0309-1708(96)00002-4
    • DA Barry K Bajracharaya CT Miller 1996 Alternative split operator approach for solving chemical reaction/groundwater transports model Advances in Water Resources 19 313 330 10.1016/0309-1708(96)00002-4
    • (1996) Advances in Water Resources , vol.19 , pp. 313-330
    • Barry, D.A.1    Bajracharaya, K.2    Miller, C.T.3
  • 3
    • 84865497003 scopus 로고
    • Modelling of pollutant transport in groundwater: Chemistry as a key factor
    • Behra, P., Zysset, A., Sigg, L., & Stauffer, F. (1990). Modelling of pollutant transport in groundwater: chemistry as a key factor. EAWAG-News, 28/29.
    • (1990) EAWAG-News , vol.28-29
    • Behra, P.1    Zysset, A.2    Sigg, L.3    Stauffer, F.4
  • 5
    • 78049421958 scopus 로고    scopus 로고
    • Efficient computation of global sensitivity indices using sparse polynomial chaos expansion
    • 10.1016/j.ress.2010.06.015
    • G Blatman B Sudret 2010 Efficient computation of global sensitivity indices using sparse polynomial chaos expansion Reliability Engineering and System Safety 95 11 1216 1229 10.1016/j.ress.2010.06.015
    • (2010) Reliability Engineering and System Safety , vol.95 , Issue.11 , pp. 1216-1229
    • Blatman, G.1    Sudret, B.2
  • 6
    • 77549083181 scopus 로고    scopus 로고
    • An adaptive algorithm to build up a sparse polynomial chaos expansions for stochastic finite element analysis
    • 10.1016/j.probengmech.2009.10.003
    • G Blatman B Sudret 2010 An adaptive algorithm to build up a sparse polynomial chaos expansions for stochastic finite element analysis Probabilistic Engineering Mechanics 25 2 183 197 10.1016/j.probengmech.2009.10.003
    • (2010) Probabilistic Engineering Mechanics , vol.25 , Issue.2 , pp. 183-197
    • Blatman, G.1    Sudret, B.2
  • 7
    • 0033999640 scopus 로고    scopus 로고
    • A feasible set for chemical speciation problems
    • DOI 10.1016/S0098-3004(99)00137-5, PII S0098300499001375
    • P Brassard P Bodurtha 2000 A feasible set for chemical speciation problems Computers and Geosciences 26 3 277 291 10.1016/S0098-3004(99)00137-5 1:CAS:528:DC%2BD3cXhsFGgu7c%3D (Pubitemid 30218404)
    • (2000) Computers and Geosciences , vol.26 , Issue.3 , pp. 277-291
    • Brassard, P.1    Bodurtha, P.2
  • 8
    • 79551509009 scopus 로고    scopus 로고
    • Variance-based global sensitivity analysis via sparse grid interpolation and cubature
    • GT Buzzard D Xiu 2011 Variance-based global sensitivity analysis via sparse grid interpolation and cubature Communications in Computational Physics 9 3 542 567
    • (2011) Communications in Computational Physics , vol.9 , Issue.3 , pp. 542-567
    • Buzzard, G.T.1    Xiu, D.2
  • 9
    • 34147165083 scopus 로고    scopus 로고
    • An effective screening design for sensitivity analysis of large models
    • DOI 10.1016/j.envsoft.2006.10.004, PII S1364815206002805
    • F Campolongo J Cariboni A Saltelli 2007 An effective screening design for sensitivity analysis of large models Environmental Modelling and Software 22 1509 1518 10.1016/j.envsoft.2006.10.004 (Pubitemid 46561424)
    • (2007) Environmental Modelling and Software , vol.22 , Issue.10 , pp. 1509-1518
    • Campolongo, F.1    Cariboni, J.2    Saltelli, A.3
  • 10
    • 0036557252 scopus 로고    scopus 로고
    • New efficient algorithm for solving thermodynamic chemistry
    • DOI 10.1002/aic.690480423
    • J Carrayrou R Mosé P Behra 2002 New efficient algorithm for solving thermodynamic chemistry AICHE Journal 48 4 894 904 10.1002/aic.690480423 1:CAS:528:DC%2BD38XjtFWmtL0%3D (Pubitemid 36173078)
    • (2002) AIChE Journal , vol.48 , Issue.4 , pp. 894-904
    • Carrayrou, J.1    Mose, R.2    Behra, P.3
  • 11
    • 48149093476 scopus 로고    scopus 로고
    • On the efficiency of the direct substitution approach for reactive transport problems in porous media
    • 10.1007/s11270-008-9691-2 1:CAS:528:DC%2BD1cXovF2is7w%3D
    • M Fahs J Carrayrou A Younes P Ackerer 2008 On the efficiency of the direct substitution approach for reactive transport problems in porous media Water, Air, and Soil Pollution 193 299 308 10.1007/s11270-008-9691-2 1:CAS:528:DC%2BD1cXovF2is7w%3D
    • (2008) Water, Air, and Soil Pollution , vol.193 , pp. 299-308
    • Fahs, M.1    Carrayrou, J.2    Younes, A.3    Ackerer, P.4
  • 12
    • 79951778390 scopus 로고    scopus 로고
    • Use of global sensitivity analysis and polynomial chaos expansion for interpretation of non-reactive transport experiments in laboratory-scale porous media
    • doi: 10.1029/2010WR009639
    • Fajraoui, N., Ramasomanana, F., Younes, A., Mara, T. A., Ackerer, P., & Guadagnini, A. (2011). Use of global sensitivity analysis and polynomial chaos expansion for interpretation of non-reactive transport experiments in laboratory-scale porous media. Water Resources Research. doi: 10.1029/2010WR009639 .
    • (2011) Water Resources Research
    • Fajraoui, N.1    Ramasomanana, F.2    Younes, A.3    Mara, T.A.4    Ackerer, P.5    Guadagnini, A.6
  • 13
    • 33644610748 scopus 로고    scopus 로고
    • An ELLAM approximation for advective-dispersive transport with nonlinear sorption
    • 10.1016/j.advwatres.2005.07.001
    • MW Farthing CE Kess TF Russell CT Miller 2006 An ELLAM approximation for advective-dispersive transport with nonlinear sorption Advances in Water Resources 29 657 675 10.1016/j.advwatres.2005.07.001
    • (2006) Advances in Water Resources , vol.29 , pp. 657-675
    • Farthing, M.W.1    Kess, C.E.2    Russell, T.F.3    Miller, C.T.4
  • 17
    • 0024785911 scopus 로고
    • Coupling of transport and chemical processes in numerical transport models
    • J Herzer W Kinzelbach 1989 Coupling of transport and chemical processes in numerical transport models Geoderma 44 115 127 10.1016/0016-7061(89)90022-0 1:CAS:528:DyaK3cXhtVCgu7k%3D (Pubitemid 20398952)
    • (1989) Geoderma , vol.44 , Issue.2-3 , pp. 115-127
    • Herzer, J.1    Kinzelbach, W.2
  • 18
    • 0030121081 scopus 로고    scopus 로고
    • Importance measures in global sensitivity analysis of nonlinear models
    • DOI 10.1016/0951-8320(96)00002-6
    • T Homma A Saltelli 1996 Importance measures in global sensitivity analysis of nonlinear models Reliability Engineering and System Safety 52 1 1 17 10.1016/0951-8320(96)00002-6 (Pubitemid 126374988)
    • (1996) Reliability Engineering and System Safety , vol.52 , Issue.1 , pp. 1-17
    • Homma, T.1    Saltelli, A.2
  • 19
    • 85027918255 scopus 로고    scopus 로고
    • Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems
    • 10.1007/s00158-010-0568-9
    • C Hu BD Youn 2011 Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems Structural and Multidisciplinary Optimization 43 419 442 10.1007/s00158-010-0568-9
    • (2011) Structural and Multidisciplinary Optimization , vol.43 , pp. 419-442
    • Hu, C.1    Youn, B.D.2
  • 20
    • 0035577808 scopus 로고    scopus 로고
    • A Taxonomy of Global Optimization Methods Based on Response Surfaces
    • DOI 10.1023/A:1012771025575
    • DR Jones 2001 A taxonomy of global optimization methods based on response surfaces Journal of Global Optimization 21 345 383 10.1023/A:1012771025575 (Pubitemid 33672374)
    • (2001) Journal of Global Optimization , vol.21 , Issue.4 , pp. 345-383
    • Jones, D.R.1
  • 21
    • 0036880538 scopus 로고    scopus 로고
    • A global multilevel coordinate search procedure for estimating the unsaturated soil hydraulic properties
    • 10.1029/2001WR001224
    • S Lambot M Javaux F Hupet M Vanclooster 2002 A global multilevel coordinate search procedure for estimating the unsaturated soil hydraulic properties Water Resources Research 38 11 1224 10.1029/2001WR001224
    • (2002) Water Resources Research , vol.38 , Issue.11 , pp. 1224
    • Lambot, S.1    Javaux, M.2    Hupet, F.3    Vanclooster, M.4
  • 23
    • 35948933092 scopus 로고    scopus 로고
    • Probabilistic collocation method for flow in porous media: Comparisons with other stochastic method
    • H Li D Zhang 2007 Probabilistic collocation method for flow in porous media: comparisons with other stochastic method Water Resources Research 43 44 48
    • (2007) Water Resources Research , vol.43 , pp. 44-48
    • Li, H.1    Zhang, D.2
  • 24
    • 61349191533 scopus 로고    scopus 로고
    • An adaptive hierarchical sparse grid collocation method for the solution of stochastic differential equations
    • 10.1016/j.jcp.2009.01.006 1:CAS:528:DC%2BD1MXivVGitrg%3D
    • X Ma N Zabaras 2009 An adaptive hierarchical sparse grid collocation method for the solution of stochastic differential equations Journal of Computational Physics 228 3084 3113 10.1016/j.jcp.2009.01.006 1:CAS:528:DC%2BD1MXivVGitrg%3D
    • (2009) Journal of Computational Physics , vol.228 , pp. 3084-3113
    • Ma, X.1    Zabaras, N.2
  • 25
    • 68049126423 scopus 로고    scopus 로고
    • Reactive transport parameter estimation: Genetic algorithm vs. Monte Carlo approach
    • 10.1002/aic.11796 1:CAS:528:DC%2BD1MXotl2lurk%3D
    • S Majdalani M Fahs J Carrayrou P Ackerer 2009 Reactive transport parameter estimation: genetic algorithm vs. Monte Carlo approach AICHE Journal 55 8 1959 1968 10.1002/aic.11796 1:CAS:528:DC%2BD1MXotl2lurk%3D
    • (2009) AICHE Journal , vol.55 , Issue.8 , pp. 1959-1968
    • Majdalani, S.1    Fahs, M.2    Carrayrou, J.3    Ackerer, P.4
  • 26
    • 66349132111 scopus 로고    scopus 로고
    • Application of global sensitivity analysis of model output to building thermal simulations
    • 10.1007/s12273-008-8129-5
    • TA Mara S Tarantola 2008 Application of global sensitivity analysis of model output to building thermal simulations Journal of Building Simulation 1 290 302 10.1007/s12273-008-8129-5
    • (2008) Journal of Building Simulation , vol.1 , pp. 290-302
    • Mara, T.A.1    Tarantola, S.2
  • 27
    • 0027789838 scopus 로고
    • Development of split-operator, Petrov Galekin methods to simulate transport and diffusion problems
    • 10.1029/93WR00528 1:CAS:528:DyaK2cXhvF2ktbc%3D
    • CT Miller AJ Rabideau 1993 Development of split-operator, Petrov Galekin methods to simulate transport and diffusion problems Water Resources Research 29 2227 2240 10.1029/93WR00528 1:CAS:528:DyaK2cXhvF2ktbc%3D
    • (1993) Water Resources Research , vol.29 , pp. 2227-2240
    • Miller, C.T.1    Rabideau, A.J.2
  • 30
    • 85015796211 scopus 로고    scopus 로고
    • A slope limiting procedure in discontinuous Galerkin finite element method for gas dynamics applications
    • T Shuang-Zhang A Shahrouz 2005 A slope limiting procedure in discontinuous Galerkin finite element method for gas dynamics applications International Journal of Numerical Analysis and Modeling 2 163 178
    • (2005) International Journal of Numerical Analysis and Modeling , vol.2 , pp. 163-178
    • Shuang-Zhang, T.1    Shahrouz, A.2
  • 31
    • 84984434641 scopus 로고
    • Some new equations to describe phosphate sorption by soils
    • 10.1111/j.1365-2389.1981.tb01686.x
    • E Sibbesen 1982 Some new equations to describe phosphate sorption by soils Journal of Soil and Science 32 67 74 10.1111/j.1365-2389.1981.tb01686.x
    • (1982) Journal of Soil and Science , vol.32 , pp. 67-74
    • Sibbesen, E.1
  • 32
    • 0001048297 scopus 로고
    • Quadrature and interpolation formulas for tensor products of certain classes of functions
    • SA Smolyak 1963 Quadrature and interpolation formulas for tensor products of certain classes of functions Soviet Mathematics -Doklady 4 240 243
    • (1963) Soviet Mathematics -Doklady , vol.4 , pp. 240-243
    • Smolyak, S.A.1
  • 33
    • 49349129696 scopus 로고
    • Uniformly distributed sequences with an additional uniform property
    • 10.1016/0041-5553(76)90154-3
    • IM Sobol' 1977 Uniformly distributed sequences with an additional uniform property USSR Computational Mathematics and Mathematical Physics 16 236 242 10.1016/0041-5553(76)90154-3
    • (1977) USSR Computational Mathematics and Mathematical Physics , vol.16 , pp. 236-242
    • Sobol, I.M.1
  • 34
    • 0000760143 scopus 로고
    • Sensitivity estimates for nonlinear mathematical models
    • IM Sobol' 1993 Sensitivity estimates for nonlinear mathematical models Mathematical Modeling and Computation 1 4 407 414
    • (1993) Mathematical Modeling and Computation , vol.1 , Issue.4 , pp. 407-414
    • Sobol, I.M.1
  • 35
    • 0034926426 scopus 로고    scopus 로고
    • Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
    • DOI 10.1016/S0378-4754(00)00270-6, PII S0378475400002706
    • IM Sobol' 2001 Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates Mathematics and Computers in Simulation 55 271 280 10.1016/S0378-4754(00)00270-6 (Pubitemid 32672729)
    • (2001) Mathematics and Computers in Simulation , vol.55 , Issue.1-3 , pp. 271-280
    • Sobol, I.M.1
  • 36
    • 0026312377 scopus 로고
    • Solubility and retention of phosphate in soils of the northwestern Canadian prairie
    • 10.4141/cjss91-044 1:CAS:528:DyaK38XitlCmsb0%3D
    • YK Soon 1991 Solubility and retention of phosphate in soils of the northwestern Canadian prairie Canadian Journal of Soil Science 71 453 463 10.4141/cjss91-044 1:CAS:528:DyaK38XitlCmsb0%3D
    • (1991) Canadian Journal of Soil Science , vol.71 , pp. 453-463
    • Soon, Y.K.1
  • 37
    • 39849107510 scopus 로고    scopus 로고
    • Global sensitivity analysis using polynomial chaos expansions
    • DOI 10.1016/j.ress.2007.04.002, PII S0951832007001329
    • B Sudret 2008 Global sensitivity analysis using polynomial chaos expansions Reliability Engineering and System Safety 93 7 964 979 10.1016/j.ress.2007.04.002 (Pubitemid 351313888)
    • (2008) Reliability Engineering and System Safety , vol.93 , Issue.7 , pp. 964-979
    • Sudret, B.1
  • 38
    • 0035144988 scopus 로고    scopus 로고
    • Sensitivity analysis and parameter identifiability for colloid transport in geochemically heterogeneous porous media
    • DOI 10.1029/2000WR900291
    • N Sun NZ Sun M Elimelech JN Ryan 2001 Sensitivity analysis and parameter identifiability for colloid transport in geochemically heterogeneous porous media Water Resources Research 37 2 209 222 10.1029/2000WR900291 1:CAS:528:DC%2BD3MXhtFKjtr8%3D (Pubitemid 32111430)
    • (2001) Water Resources Research , vol.37 , Issue.2 , pp. 209-222
    • Sun, N.1    Sun, N.-Z.2    Elimelech, M.3    Ryan, J.N.4
  • 39
    • 0027042913 scopus 로고
    • Accuracy of operator splitting for advection-dispersion-reaction problems
    • DOI 10.1029/92WR00423
    • AJ Valocchi M Malmstead 1992 Accuracy of operator splitting for advection-dispersion reaction problems Water Resources Research 28 5 1471 1476 10.1029/92WR00423 1:CAS:528:DyaK38XksFGnsb4%3D (Pubitemid 23372274)
    • (1992) Water Resources Research , vol.28 , Issue.5 , pp. 1471-1476
    • Valocchi, A.J.1    Malmstead, M.2
  • 40
    • 0019727638 scopus 로고
    • Transport of ion-exchanging solutes in groundwater: Chromatographic theory and field simulation
    • AJ Valocchi RL Street PV Roberts 1981 Transport of ion exchanging solutes in ground water: chromatographic theory filed simulation Water Resources Research 17 5 1517 1527 10.1029/WR017i005p01517 1:CAS:528:DyaL3MXmtV2hs70%3D (Pubitemid 12260430)
    • (1981) Water Resources Research , vol.17 , Issue.5 , pp. 1517-1527
    • Valocchi, A.J.1    Street, R.L.2    Roberts, P.V.3
  • 41
    • 0035132954 scopus 로고    scopus 로고
    • Present state and future directions of modeling of geochemistry in hydrogeological systems
    • DOI 10.1016/S0169-7722(00)00155-8, PII S0169772200001558
    • J Van der Lee L De Windt 2001 Present state and future directions of modelling of geochemistry in hydrogeological systems Journal of Contaminant Hydrology 47 265 282 10.1016/S0169-7722(00)00155-8 (Pubitemid 32140853)
    • (2001) Journal of Contaminant Hydrology , vol.47 , Issue.2-4 , pp. 265-282
    • Van Der Lee, J.1    De Windt, L.2
  • 42
    • 0036852121 scopus 로고    scopus 로고
    • Validity of first-order approximations to describe parameter uncertainty in soil hydrologic models
    • JA Vrugt W Bouten 2002 Validity of first-order approximations to describe parameter uncertainty in soil hydrologic models Soil Science Society of America Journal 66 1740 1751 10.2136/sssaj2002.1740 10.2136/sssaj2002.1740 1:CAS:528:DC%2BD38XoslKhs7o%3D (Pubitemid 35352878)
    • (2002) Soil Science Society of America Journal , vol.66 , Issue.6 , pp. 1740-1751
    • Vrugt, J.A.1    Bouten, W.2
  • 43
    • 0028166357 scopus 로고
    • Modeling of multicomponent reactive transport in groundwater 1. Model development and evaluation
    • DOI 10.1029/94WR00955
    • AL Walter EO Frind DW Blows CJ Ptacek JW Molson 1994 Modeling of multicomponent reactive transport in groundwater: 1. Model development and evaluation Water Resources Research 30 11 3137 3148 10.1029/94WR00955 1:CAS:528:DyaK2MXis1Sqs7c%3D (Pubitemid 292094)
    • (1994) Water Resources Research , vol.30 , Issue.11 , pp. 3137-3148
    • Walter, A.L.1    Frind, E.O.2    Blowes, D.W.3    Ptacek, C.J.4    Molson, J.W.5
  • 44
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • 10.2307/2371268
    • N Wiener 1938 The homogeneous chaos American Journal of Mathematics 60 897 936 10.2307/2371268
    • (1938) American Journal of Mathematics , vol.60 , pp. 897-936
    • Wiener, N.1
  • 45
    • 0141792397 scopus 로고    scopus 로고
    • A new stochastic approach to transient heat conduction modeling with uncertainty
    • DOI 10.1016/S0017-9310(03)00299-0
    • D Xiu GE Karniadakis 2003 A new stochastic approach to transient heat conduction modeling with uncertainty International Journal of Heat and Mass Transfer 46 24 4681 4693 10.1016/S0017-9310(03)00299-0 (Pubitemid 37111155)
    • (2003) International Journal of Heat and Mass Transfer , vol.46 , Issue.24 , pp. 4681-4693
    • Xiu, D.1    Karniadakis, G.E.2
  • 46
    • 0028161344 scopus 로고
    • Modeling of chemically reactive groundwater transport
    • 10.1029/94WR00230 1:CAS:528:DyaK2cXmtlOrtLg%3D
    • A Zysset F Stauffer T Dracos 1994 Modeling of chemically reactive groundwater transport Water Resources Research 30 7 2217 2228 10.1029/94WR00230 1:CAS:528:DyaK2cXmtlOrtLg%3D
    • (1994) Water Resources Research , vol.30 , Issue.7 , pp. 2217-2228
    • Zysset, A.1    Stauffer, F.2    Dracos, T.3


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