메뉴 건너뛰기




Volumn 32, Issue 6, 2009, Pages 851-872

A comparison of seven methods for the inverse modelling of groundwater flow. Application to the characterisation of well catchments

Author keywords

Aquifer characterisation; Comparison study; Conditional estimation; Inverse modelling; Stochastic simulations; Well catchments

Indexed keywords

ASSESSMENT PROCEDURES; COMPARISON STUDY; CONDITIONAL ESTIMATION; CPU TIME; HYDRAULIC HEADS; INVERSE METHODS; INVERSE MODELLING; INVERSION TECHNIQUES; MOMENT EQUATIONS; MONTE CARLO SIMULATIONS; NON-ITERATIVE; OBJECTIVE FUNCTIONS; PARAMETERISATION; PROBABILISTIC RISKS; PUMPING WELLS; RELATIVE PERFORMANCE; SELF-CALIBRATION METHODS; SEMI-ANALYTICAL METHODS; STATISTICAL MOMENTS; STOCHASTIC SIMULATIONS; STRONG HETEROGENEITIES; TRANSMISSIVITY; TRANSMISSIVITY FIELDS; TWO-DIMENSIONAL;

EID: 67349254470     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2009.02.011     Document Type: Article
Times cited : (212)

References (142)
  • 1
    • 33750361436 scopus 로고    scopus 로고
    • Optimal design of measures to correct seawater intrusion
    • 10.1029/2005wr004524 W09415
    • Abarca E., Vazquez-Sune E., Carrera J., Capino B., Gamez D., and Batlle F. Optimal design of measures to correct seawater intrusion. Water Resour Res 42 9 (2006) 1-14 10.1029/2005wr004524 W09415
    • (2006) Water Resour Res , vol.42 , Issue.9 , pp. 1-14
    • Abarca, E.1    Vazquez-Sune, E.2    Carrera, J.3    Capino, B.4    Gamez, D.5    Batlle, F.6
  • 2
    • 0016355478 scopus 로고
    • A new look at statistical model identification
    • Akaike H. A new look at statistical model identification. IEEE Trans Autom Control AC19 6 (1974) 716-723
    • (1974) IEEE Trans Autom Control , vol.AC19 , Issue.6 , pp. 716-723
    • Akaike, H.1
  • 3
    • 0002909927 scopus 로고
    • On entropy maximization principle
    • The Netherlands, Amsterdam
    • Akaike H. On entropy maximization principle. Applications of statistics (1977), The Netherlands, Amsterdam
    • (1977) Applications of statistics
    • Akaike, H.1
  • 4
    • 33746129830 scopus 로고    scopus 로고
    • Pilot points method incorporating prior information for solving the groundwater flow inverse problem
    • 10.1016/j.advwatres.2005.12.009
    • Alcolea A., Carrera J., and Medina A. Pilot points method incorporating prior information for solving the groundwater flow inverse problem. Adv Water Res 29 11 (2006) 1678-1689 10.1016/j.advwatres.2005.12.009
    • (2006) Adv Water Res , vol.29 , Issue.11 , pp. 1678-1689
    • Alcolea, A.1    Carrera, J.2    Medina, A.3
  • 5
    • 33746117916 scopus 로고    scopus 로고
    • Inversion of heterogeneous parabolic-type equations using the pilot points method
    • Alcolea A., Carrera J., and Medina A. Inversion of heterogeneous parabolic-type equations using the pilot points method. Int J Numer Meth Fluid 51 9-10 (2006) 963-980
    • (2006) Int J Numer Meth Fluid , vol.51 , Issue.9-10 , pp. 963-980
    • Alcolea, A.1    Carrera, J.2    Medina, A.3
  • 6
    • 35648954188 scopus 로고    scopus 로고
    • Inverse modeling of coastal aquifers using tidal response and hydraulic tests
    • 10.1111/j.1745-6584.2007.00356.x
    • Alcolea A., Castro E., Barbieri M., Carrera J., and Bea S. Inverse modeling of coastal aquifers using tidal response and hydraulic tests. Ground Water 45 6 (2007) 711-722 10.1111/j.1745-6584.2007.00356.x
    • (2007) Ground Water , vol.45 , Issue.6 , pp. 711-722
    • Alcolea, A.1    Castro, E.2    Barbieri, M.3    Carrera, J.4    Bea, S.5
  • 7
    • 43949137898 scopus 로고    scopus 로고
    • Regularized pilot points method for reproducing the effect of small-scale variability: application to simulations of contaminant transport
    • 10.1016/j.jhydrol.2008.03.004
    • Alcolea A., Carrera J., and Medina A. Regularized pilot points method for reproducing the effect of small-scale variability: application to simulations of contaminant transport. J Hydrol 355 1-4 (2008) 76-90 10.1016/j.jhydrol.2008.03.004
    • (2008) J Hydrol , vol.355 , Issue.1-4 , pp. 76-90
    • Alcolea, A.1    Carrera, J.2    Medina, A.3
  • 8
    • 58849115360 scopus 로고    scopus 로고
    • Reducing the impact of a desalination plant using stochastic modeling and optimization techniques
    • Alcolea A., Renard P., Mariethoz G., and Bertone F. Reducing the impact of a desalination plant using stochastic modeling and optimization techniques. J Hydrol 365 3-4 (2009) 275-288
    • (2009) J Hydrol , vol.365 , Issue.3-4 , pp. 275-288
    • Alcolea, A.1    Renard, P.2    Mariethoz, G.3    Bertone, F.4
  • 10
    • 17044457308 scopus 로고    scopus 로고
    • Stochastic groundwater quality management: role of spatial variability and conditioning
    • 10.1029/2002wr001745 1078
    • Bakr M.I., te Stroet C.B.M., and Meijerink A. Stochastic groundwater quality management: role of spatial variability and conditioning. Water Resour Res 39 4 (2003) 10.1029/2002wr001745 1078
    • (2003) Water Resour Res , vol.39 , Issue.4
    • Bakr, M.I.1    te Stroet, C.B.M.2    Meijerink, A.3
  • 11
    • 1842479079 scopus 로고    scopus 로고
    • Worth of head data in well-capture zone design: deterministic and stochastic analysis
    • 10.1016/j.jhydrol.2003.12.004
    • Bakr M.I., and Butler A.P. Worth of head data in well-capture zone design: deterministic and stochastic analysis. J Hydrol 290 3-4 (2004) 202-216 10.1016/j.jhydrol.2003.12.004
    • (2004) J Hydrol , vol.290 , Issue.3-4 , pp. 202-216
    • Bakr, M.I.1    Butler, A.P.2
  • 15
    • 0027788553 scopus 로고
    • Prophecy, reality and uncertainty in distributed hydrological modeling
    • Beven K. Prophecy, reality and uncertainty in distributed hydrological modeling. Adv Water Res 16 1 (1993) 41-51
    • (1993) Adv Water Res , vol.16 , Issue.1 , pp. 41-51
    • Beven, K.1
  • 16
    • 41649091367 scopus 로고    scopus 로고
    • Uncertainty assessment of integrated distributed hydrological models using GLUE with Markov chain Monte Carlo sampling
    • 10.1016/j.jhydrol.2007.12.026
    • Blasone R.S., Madsen H., and Rosbjerg D. Uncertainty assessment of integrated distributed hydrological models using GLUE with Markov chain Monte Carlo sampling. J Hydrol 353 1-2 (2008) 18-32 10.1016/j.jhydrol.2007.12.026
    • (2008) J Hydrol , vol.353 , Issue.1-2 , pp. 18-32
    • Blasone, R.S.1    Madsen, H.2    Rosbjerg, D.3
  • 17
    • 40849146963 scopus 로고    scopus 로고
    • Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov chain Monte Carlo sampling
    • 10.1016/j.advwatres.2007.12.003
    • Blasone R.S., Vrugt J.A., Madsen H., Rosbjerg D., Robinson B.A., and Zyvoloski G.A. Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov chain Monte Carlo sampling. Adv Water Res 31 4 (2008) 630-648 10.1016/j.advwatres.2007.12.003
    • (2008) Adv Water Res , vol.31 , Issue.4 , pp. 630-648
    • Blasone, R.S.1    Vrugt, J.A.2    Madsen, H.3    Rosbjerg, D.4    Robinson, B.A.5    Zyvoloski, G.A.6
  • 18
    • 0001345577 scopus 로고
    • Quasi-Newton methods and their application to function minimisation
    • Broyden C.G. Quasi-Newton methods and their application to function minimisation. Math Comput 21 99 (1967) 368-381
    • (1967) Math Comput , vol.21 , Issue.99 , pp. 368-381
    • Broyden, C.G.1
  • 19
    • 0032439201 scopus 로고    scopus 로고
    • Analysis scheme in the ensemble Kalman filter
    • Burgers G., van Leeuwen P.J., and Evensen G. Analysis scheme in the ensemble Kalman filter. Mon Weather Rev 126 6 (1998) 1719-1724
    • (1998) Mon Weather Rev , vol.126 , Issue.6 , pp. 1719-1724
    • Burgers, G.1    van Leeuwen, P.J.2    Evensen, G.3
  • 20
    • 0141953929 scopus 로고    scopus 로고
    • Geostatistical history matching under training-image based geological model constraints
    • Caers J. Geostatistical history matching under training-image based geological model constraints. SPE J 8 3 (2003) 218-226
    • (2003) SPE J , vol.8 , Issue.3 , pp. 218-226
    • Caers, J.1
  • 21
    • 33745177370 scopus 로고    scopus 로고
    • The probability perturbation method: a new look at Bayesian inverse modeling
    • 10.1007/s11004-005-9005-9
    • Caers J., and Hoffman T. The probability perturbation method: a new look at Bayesian inverse modeling. Math Geol 38 1 (2006) 81-100 10.1007/s11004-005-9005-9
    • (2006) Math Geol , vol.38 , Issue.1 , pp. 81-100
    • Caers, J.1    Hoffman, T.2
  • 23
    • 0032565974 scopus 로고    scopus 로고
    • Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric head data - 3. Application to the Culebra formation at the Waste Isolation Pilot Plan (WIPP), New Mexico, USA
    • Capilla J.E., Gomez-Hernandez J.J., and Sahuquillo A. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric head data - 3. Application to the Culebra formation at the Waste Isolation Pilot Plan (WIPP), New Mexico, USA. J Hydrol 207 3-4 (1998) 254-269
    • (1998) J Hydrol , vol.207 , Issue.3-4 , pp. 254-269
    • Capilla, J.E.1    Gomez-Hernandez, J.J.2    Sahuquillo, A.3
  • 24
    • 0032877568 scopus 로고    scopus 로고
    • Simulation of non-Gaussian transmissivity fields honoring piezometric data and integrating soft and secondary information
    • Capilla J.E., Rodrigo J., and Gomez-Hernandez J.J. Simulation of non-Gaussian transmissivity fields honoring piezometric data and integrating soft and secondary information. Math Geol 31 7 (1999) 907-927
    • (1999) Math Geol , vol.31 , Issue.7 , pp. 907-927
    • Capilla, J.E.1    Rodrigo, J.2    Gomez-Hernandez, J.J.3
  • 25
    • 0031432328 scopus 로고    scopus 로고
    • Modeling spatial variability with one multidimensional continuous-lag Markov chain
    • Carle S.F., and Fogg G.E. Modeling spatial variability with one multidimensional continuous-lag Markov chain. Math Geol 29 7 (1997) 891-918
    • (1997) Math Geol , vol.29 , Issue.7 , pp. 891-918
    • Carle, S.F.1    Fogg, G.E.2
  • 26
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions. 1. Maximum likelihood method incorporating prior information
    • Carrera J., and Neuman S.P. Estimation of aquifer parameters under transient and steady-state conditions. 1. Maximum likelihood method incorporating prior information. Water Resour Res 22 2 (1986) 199-210
    • (1986) Water Resour Res , vol.22 , Issue.2 , pp. 199-210
    • Carrera, J.1    Neuman, S.P.2
  • 27
    • 0022923349 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions. 2. Uniqueness, stability and solution algorithms
    • Carrera J., and Neuman S.P. Estimation of aquifer parameters under transient and steady-state conditions. 2. Uniqueness, stability and solution algorithms. Water Resour Res 22 2 (1986) 211-227
    • (1986) Water Resour Res , vol.22 , Issue.2 , pp. 211-227
    • Carrera, J.1    Neuman, S.P.2
  • 28
    • 0022923343 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions. 3. Application to synthetic and field data
    • Carrera J., and Neuman S.P. Estimation of aquifer parameters under transient and steady-state conditions. 3. Application to synthetic and field data. Water Resour Res 22 2 (1986) 228-242
    • (1986) Water Resour Res , vol.22 , Issue.2 , pp. 228-242
    • Carrera, J.1    Neuman, S.P.2
  • 29
    • 67349185948 scopus 로고    scopus 로고
    • Carrera J. State of the art of the inverse problem applied to the flow and solute transport problems. In: ASI. Groundwater flow and quality modeling. NATO; 1987. p. 549-85.
    • Carrera J. State of the art of the inverse problem applied to the flow and solute transport problems. In: ASI. Groundwater flow and quality modeling. NATO; 1987. p. 549-85.
  • 30
    • 0026384174 scopus 로고
    • On geostatistical formulations of the groundwater flow inverse problem
    • Carrera J., and Glorioso L. On geostatistical formulations of the groundwater flow inverse problem. Adv Water Res 14 5 (1991) 273-283
    • (1991) Adv Water Res , vol.14 , Issue.5 , pp. 273-283
    • Carrera, J.1    Glorioso, L.2
  • 31
    • 17044423811 scopus 로고    scopus 로고
    • Inverse problem in hydrogeology
    • 10.1007/s10040-004-0404-7
    • Carrera J., Alcolea A., Medina A., Hidalgo J., and Slooten L.J. Inverse problem in hydrogeology. Hydrogeol J 13 1 (2005) 206-222 10.1007/s10040-004-0404-7
    • (2005) Hydrogeol J , vol.13 , Issue.1 , pp. 206-222
    • Carrera, J.1    Alcolea, A.2    Medina, A.3    Hidalgo, J.4    Slooten, L.J.5
  • 32
    • 33746216685 scopus 로고    scopus 로고
    • Data assimilation for transient flow in geologic formations via ensemble Kalman filter
    • 10.1016/j.advwatres.2005.09.007
    • Chen Y., and Zhang D.X. Data assimilation for transient flow in geologic formations via ensemble Kalman filter. Adv Water Res 29 8 (2006) 1107-1122 10.1016/j.advwatres.2005.09.007
    • (2006) Adv Water Res , vol.29 , Issue.8 , pp. 1107-1122
    • Chen, Y.1    Zhang, D.X.2
  • 33
    • 40649102862 scopus 로고    scopus 로고
    • Predictive error dependencies when using pilot points and singular value decomposition in groundwater model calibration
    • 10.1016/j.advwatres.2008.01.003
    • Christensen S., and Doherty J. Predictive error dependencies when using pilot points and singular value decomposition in groundwater model calibration. Adv Water Res 31 4 (2008) 674-700 10.1016/j.advwatres.2008.01.003
    • (2008) Adv Water Res , vol.31 , Issue.4 , pp. 674-700
    • Christensen, S.1    Doherty, J.2
  • 34
    • 0020332331 scopus 로고
    • Effects of kriging and inverse modeling on conditional simulation of the Avra valley aquifer in Southern Arizona
    • Clifton P.M., and Neuman S.P. Effects of kriging and inverse modeling on conditional simulation of the Avra valley aquifer in Southern Arizona. Water Resour Res 18 4 (1982) 1215-1234
    • (1982) Water Resour Res , vol.18 , Issue.4 , pp. 1215-1234
    • Clifton, P.M.1    Neuman, S.P.2
  • 35
    • 0034115609 scopus 로고    scopus 로고
    • An analysis of the pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields
    • Cooley R.L. An analysis of the pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields. Water Resour Res 36 4 (2000) 1159-1163
    • (2000) Water Resour Res , vol.36 , Issue.4 , pp. 1159-1163
    • Cooley, R.L.1
  • 36
    • 0033857268 scopus 로고    scopus 로고
    • Comment on RamaRao et al. [1995] and LaVenue et al. [1995]
    • Cooley R.L., and Hill M.C. Comment on RamaRao et al. [1995] and LaVenue et al. [1995]. Water Resour Res 36 9 (2000) 2795-2797
    • (2000) Water Resour Res , vol.36 , Issue.9 , pp. 2795-2797
    • Cooley, R.L.1    Hill, M.C.2
  • 37
    • 0021896506 scopus 로고
    • Stochastic modeling of groundwater flow by unconditional and conditional probabilities: the inverse problem
    • Dagan G. Stochastic modeling of groundwater flow by unconditional and conditional probabilities: the inverse problem. Water Resour Res 21 1 (1985) 65-72
    • (1985) Water Resour Res , vol.21 , Issue.1 , pp. 65-72
    • Dagan, G.1
  • 39
    • 0000154967 scopus 로고
    • Interpretation of interference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model
    • Verly G et al, editors, D. Reidel Pub Co;
    • de Marsily G, Lavedan G, Boucher M, Fasanino G. Interpretation of interference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model. In: Verly G et al., editors. Geostatistics for natural resources characterisation. Part 2. D. Reidel Pub Co; 1984. p. 831-49.
    • (1984) Geostatistics for natural resources characterisation , Issue.PART 2 , pp. 831-849
    • de Marsily, G.1    Lavedan, G.2    Boucher, M.3    Fasanino, G.4
  • 43
    • 67349240970 scopus 로고    scopus 로고
    • Ground water model calibration using pilot points and regularization
    • Golden, Colorado;
    • Doherty J. Ground water model calibration using pilot points and regularization. In: MODFLOW 2001 and other modeling Odysseys conference, Golden, Colorado; 2001.
    • (2001) MODFLOW 2001 and other modeling Odysseys conference
    • Doherty, J.1
  • 44
    • 33644624752 scopus 로고    scopus 로고
    • Calibration framework for a Kalman filter applied to a groundwater model
    • 10.1016/j.advwatres.2005.07.007
    • Drecourt J.P., Madsen H., and Rosbjerg D. Calibration framework for a Kalman filter applied to a groundwater model. Adv Water Res 29 5 (2006) 719-734 10.1016/j.advwatres.2005.07.007
    • (2006) Adv Water Res , vol.29 , Issue.5 , pp. 719-734
    • Drecourt, J.P.1    Madsen, H.2    Rosbjerg, D.3
  • 45
    • 0004128472 scopus 로고
    • Cambridge University Press, Cambridge
    • Edwards A.W.F. Likelihood (1972), Cambridge University Press, Cambridge
    • (1972) Likelihood
    • Edwards, A.W.F.1
  • 46
    • 0028193070 scopus 로고
    • Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics
    • Evensen G. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J Geophys Res - Ocean 99 C5 (1994) 10143-10162
    • (1994) J Geophys Res - Ocean , vol.99 , Issue.C5 , pp. 10143-10162
    • Evensen, G.1
  • 47
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher R., and Reeves C.M. Function minimization by conjugate gradients. Comput J 7 2 (1964) 149-154
    • (1964) Comput J , vol.7 , Issue.2 , pp. 149-154
    • Fletcher, R.1    Reeves, C.M.2
  • 49
    • 58149182688 scopus 로고    scopus 로고
    • Uncertainty assessment and data worth in groundwater flow and mass transport modeling using a blocking Markov chain Monte Carlo method
    • 10.1016/j.jhydrol.2008.11.014
    • Fu J., and Gomez-Hernandez J. Uncertainty assessment and data worth in groundwater flow and mass transport modeling using a blocking Markov chain Monte Carlo method. J Hydrol 364 (2009) 328-341 10.1016/j.jhydrol.2008.11.014
    • (2009) J Hydrol , vol.364 , pp. 328-341
    • Fu, J.1    Gomez-Hernandez, J.2
  • 51
    • 0025067317 scopus 로고
    • ISIM3D: an ANSI-C three-dimensional multiple indicator conditional simulation model
    • Gomez-Hernandez J.J., and Srivastava R.M. ISIM3D: an ANSI-C three-dimensional multiple indicator conditional simulation model. Comput Geosci 16 4 (1990) 395-440
    • (1990) Comput Geosci , vol.16 , Issue.4 , pp. 395-440
    • Gomez-Hernandez, J.J.1    Srivastava, R.M.2
  • 53
    • 0031593106 scopus 로고    scopus 로고
    • Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data - I Theory
    • Gomez-Hernandez J.J., Sahuquillo A., and Capilla J.E. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data - I Theory. J Hydrol 203 1-4 (1997) 162-174
    • (1997) J Hydrol , vol.203 , Issue.1-4 , pp. 162-174
    • Gomez-Hernandez, J.J.1    Sahuquillo, A.2    Capilla, J.E.3
  • 54
    • 0032007819 scopus 로고    scopus 로고
    • To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology
    • Gomez-Hernandez J.J., and Wen X.H. To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology. Adv Water Res 21 1 (1998) 47-61
    • (1998) Adv Water Res , vol.21 , Issue.1 , pp. 47-61
    • Gomez-Hernandez, J.J.1    Wen, X.H.2
  • 55
    • 0035092561 scopus 로고    scopus 로고
    • Stochastic analysis of flow response in a three-dimensional fractured rock mass block
    • Gomez-Hernandez J.J., Franssen H.J.H., and Cassiraga E.F. Stochastic analysis of flow response in a three-dimensional fractured rock mass block. Int J Rock Mech Min Sci 38 1 (2001) 31-44
    • (2001) Int J Rock Mech Min Sci , vol.38 , Issue.1 , pp. 31-44
    • Gomez-Hernandez, J.J.1    Franssen, H.J.H.2    Cassiraga, E.F.3
  • 56
    • 0032826156 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 1. Theory and computational approach
    • Guadagnini A., and Neuman S.P. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 1. Theory and computational approach. Water Resour Res 35 10 (1999) 2999-3018
    • (1999) Water Resour Res , vol.35 , Issue.10 , pp. 2999-3018
    • Guadagnini, A.1    Neuman, S.P.2
  • 57
    • 0032872539 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 2. Computational examples
    • Guadagnini A., and Neuman S.P. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 2. Computational examples. Water Resour Res 35 10 (1999) 3019-3039
    • (1999) Water Resour Res , vol.35 , Issue.10 , pp. 3019-3039
    • Guadagnini, A.1    Neuman, S.P.2
  • 58
    • 0027868458 scopus 로고
    • Multivariate geostatistics: beyond bivariate moments
    • Kluwer Academic Publishers, Dordrecht, The Netherland
    • Guardiano F., and Srivastava R.M. Multivariate geostatistics: beyond bivariate moments. A Soares Geostatistics Troia 1992 (1993), Kluwer Academic Publishers, Dordrecht, The Netherland 133-144
    • (1993) A Soares Geostatistics Troia 1992 , pp. 133-144
    • Guardiano, F.1    Srivastava, R.M.2
  • 60
    • 0021480105 scopus 로고
    • A new approach to shale management in field scale simulation models
    • Haldorsen H.H., and Lake L.W. A new approach to shale management in field scale simulation models. Soc Petrol Eng J 24 4 (1984) 447-457
    • (1984) Soc Petrol Eng J , vol.24 , Issue.4 , pp. 447-457
    • Haldorsen, H.H.1    Lake, L.W.2
  • 61
    • 0000068460 scopus 로고
    • The estimation of the order of an ARMA process
    • Hannan E.J. The estimation of the order of an ARMA process. Annal Stat 8 (1980) 1071-1081
    • (1980) Annal Stat , vol.8 , pp. 1071-1081
    • Hannan, E.J.1
  • 62
    • 0343049176 scopus 로고    scopus 로고
    • Joint simulation of transmissivity and storativity fields conditional to steady-state and transient hydraulic head data
    • Hendricks Franssen H.J., Gomez-Hernandez J.J., Capilla J.E., and Sahuquillo A. Joint simulation of transmissivity and storativity fields conditional to steady-state and transient hydraulic head data. Adv Water Res 23 1 (1999) 1-13
    • (1999) Adv Water Res , vol.23 , Issue.1 , pp. 1-13
    • Hendricks Franssen, H.J.1    Gomez-Hernandez, J.J.2    Capilla, J.E.3    Sahuquillo, A.4
  • 64
    • 23044533855 scopus 로고    scopus 로고
    • 3D inverse modelling of groundwater flow at a fractured site using a stochastic continuum model with multiple statistical populations
    • 10.1007/s00477-002-0091-7
    • Hendricks Franssen H.J., and Gomez-Hernandez J.J. 3D inverse modelling of groundwater flow at a fractured site using a stochastic continuum model with multiple statistical populations. Stoch Environ Res Risk Assess 16 2 (2002) 155-174 10.1007/s00477-002-0091-7
    • (2002) Stoch Environ Res Risk Assess , vol.16 , Issue.2 , pp. 155-174
    • Hendricks Franssen, H.J.1    Gomez-Hernandez, J.J.2
  • 65
    • 10744220074 scopus 로고    scopus 로고
    • Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data
    • 10.1016/s0022-1694(03)00191-4
    • Hendricks Franssen H.J., Gomez-Hernandez J., and Sahuquillo A. Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data. J Hydrol 281 4 (2003) 281-295 10.1016/s0022-1694(03)00191-4
    • (2003) J Hydrol , vol.281 , Issue.4 , pp. 281-295
    • Hendricks Franssen, H.J.1    Gomez-Hernandez, J.2    Sahuquillo, A.3
  • 66
    • 2942744896 scopus 로고    scopus 로고
    • Joint estimation of transmissivities and recharges - application: stochastic characterisation of well capture zones
    • 10.1016/j.jhydrol.2003.10.021
    • Hendricks Franssen H.J., Stauffer F., and Kinzelbach W. Joint estimation of transmissivities and recharges - application: stochastic characterisation of well capture zones. J Hydrol 294 1-3 (2004) 87-102 10.1016/j.jhydrol.2003.10.021
    • (2004) J Hydrol , vol.294 , Issue.1-3 , pp. 87-102
    • Hendricks Franssen, H.J.1    Stauffer, F.2    Kinzelbach, W.3
  • 67
    • 39749132818 scopus 로고    scopus 로고
    • Equally likely inverse solutions to a groundwater flow problem including pattern information from remote sensing images
    • 10.1029/2007wr006097 W01419
    • Hendricks Franssen H.J., Brunner P., Makobo P., and Kinzelbach W. Equally likely inverse solutions to a groundwater flow problem including pattern information from remote sensing images. Water Resour Res 44 1 (2008) 10.1029/2007wr006097 W01419
    • (2008) Water Resour Res , vol.44 , Issue.1
    • Hendricks Franssen, H.J.1    Brunner, P.2    Makobo, P.3    Kinzelbach, W.4
  • 68
    • 55249106218 scopus 로고    scopus 로고
    • Real-time groundwater flow modeling with the Ensemble Kalman Filter: Joint estimation of states and parameters and the filter inbreeding problem
    • 10.1029/2007wr006505 W09408
    • Hendricks Franssen H.J., and Kinzelbach W. Real-time groundwater flow modeling with the Ensemble Kalman Filter: Joint estimation of states and parameters and the filter inbreeding problem. Water Resour Res 44 9 (2008) 10.1029/2007wr006505 W09408
    • (2008) Water Resour Res , vol.44 , Issue.9
    • Hendricks Franssen, H.J.1    Kinzelbach, W.2
  • 69
    • 67349276751 scopus 로고    scopus 로고
    • Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion
    • Prague, Czech Republic;
    • Hernandez AF, Neuman SP, Guadagnini A, Carrera J. Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion. In: ModelCARE 2002 conference, Prague, Czech Republic; 2002.
    • (2002) ModelCARE 2002 conference
    • Hernandez, A.F.1    Neuman, S.P.2    Guadagnini, A.3    Carrera, J.4
  • 70
    • 33745441083 scopus 로고    scopus 로고
    • Inverse stochastic moment analysis of steady state flow in randomly heterogeneous media
    • 10.1029/2005wr004449 W05425
    • Hernandez A.F., Neuman S.P., Guadagnini A., and Carrera J. Inverse stochastic moment analysis of steady state flow in randomly heterogeneous media. Water Resour Res 42 5 (2006) 10.1029/2005wr004449 W05425
    • (2006) Water Resour Res , vol.42 , Issue.5
    • Hernandez, A.F.1    Neuman, S.P.2    Guadagnini, A.3    Carrera, J.4
  • 71
    • 0034978699 scopus 로고    scopus 로고
    • Gradual deformation and iterative calibration of truncated Gaussian simulations
    • Hu L.Y., Le Ravalec M., and Blanc G. Gradual deformation and iterative calibration of truncated Gaussian simulations. Petrol Geosci 7 (2001) S25-S30
    • (2001) Petrol Geosci , vol.7
    • Hu, L.Y.1    Le Ravalec, M.2    Blanc, G.3
  • 72
    • 56349159195 scopus 로고    scopus 로고
    • Extended probability perturbation method for calibrating stochastic reservoir models
    • 10.1007/s11004-008-9158-4
    • Hu L.Y. Extended probability perturbation method for calibrating stochastic reservoir models. Math Geosci (2008) 10.1007/s11004-008-9158-4
    • (2008) Math Geosci
    • Hu, L.Y.1
  • 73
    • 58149101312 scopus 로고    scopus 로고
    • Multiple-point geostatistics for modeling subsurface heterogeneity: a comprehensive review
    • 10.1029/2008WR006993
    • Hu L.Y., and Chugunova T. Multiple-point geostatistics for modeling subsurface heterogeneity: a comprehensive review. Water Resour Res 44 W11413 (2008) 10.1029/2008WR006993
    • (2008) Water Resour Res , vol.44 , Issue.W11413
    • Hu, L.Y.1    Chugunova, T.2
  • 74
    • 33646515571 scopus 로고    scopus 로고
    • Inverse modeling of multimodal conductivity distributions
    • 10.1029/2005wr004356 W03410
    • Janssen G., Valstar J.R., and van der Zee S. Inverse modeling of multimodal conductivity distributions. Water Resour Res 42 3 (2006) 10.1029/2005wr004356 W03410
    • (2006) Water Resour Res , vol.42 , Issue.3
    • Janssen, G.1    Valstar, J.R.2    van der Zee, S.3
  • 76
    • 0020102315 scopus 로고
    • Optimal choice of AR and MA parts in autoregressive moving average models
    • Kashyap R.L. Optimal choice of AR and MA parts in autoregressive moving average models. IEEE Trans Pat Anal Mach Intell 4 2 (1982) 99-104
    • (1982) IEEE Trans Pat Anal Mach Intell , vol.4 , Issue.2 , pp. 99-104
    • Kashyap, R.L.1
  • 77
    • 0026282462 scopus 로고
    • A comparison of four inverse approaches to groundwater flow and transport parameter identification
    • Keidser A., and Rosbjerg D. A comparison of four inverse approaches to groundwater flow and transport parameter identification. Water Resour Res 27 9 (1991) 2219-2232
    • (1991) Water Resour Res , vol.27 , Issue.9 , pp. 2219-2232
    • Keidser, A.1    Rosbjerg, D.2
  • 78
    • 36049034268 scopus 로고    scopus 로고
    • Issues in characterizing heterogeneity and connectivity in non-multiGaussian media
    • 10.1016/j.advwatres.2007.07.002
    • Kerrou J., Renard P., Hendricks Franssen H.J., and Lunati I. Issues in characterizing heterogeneity and connectivity in non-multiGaussian media. Adv Water Res 31 1 (2008) 147-159 10.1016/j.advwatres.2007.07.002
    • (2008) Adv Water Res , vol.31 , Issue.1 , pp. 147-159
    • Kerrou, J.1    Renard, P.2    Hendricks Franssen, H.J.3    Lunati, I.4
  • 79
    • 0020969318 scopus 로고
    • A geostatistical approach to the inverse problem in groundwater modeling (steady-state) and one-dimensional simulations
    • Kitanidis P.K., and Vomvoris E.G. A geostatistical approach to the inverse problem in groundwater modeling (steady-state) and one-dimensional simulations. Water Resour Res 19 3 (1983) 677-690
    • (1983) Water Resour Res , vol.19 , Issue.3 , pp. 677-690
    • Kitanidis, P.K.1    Vomvoris, E.G.2
  • 80
    • 0029413779 scopus 로고
    • Quasi-linear geostatistical theory for inversing
    • Kitanidis P.K. Quasi-linear geostatistical theory for inversing. Water Resour Res 31 10 (1995) 2411-2419
    • (1995) Water Resour Res , vol.31 , Issue.10 , pp. 2411-2419
    • Kitanidis, P.K.1
  • 81
    • 0023524343 scopus 로고
    • Parameter estimation for unsaturated flow and transport models. A review
    • Kool J.B., Parker J.C., and Van Genuchten M.T. Parameter estimation for unsaturated flow and transport models. A review. J Hydrol 91 (1987) 255-293
    • (1987) J Hydrol , vol.91 , pp. 255-293
    • Kool, J.B.1    Parker, J.C.2    Van Genuchten, M.T.3
  • 82
    • 2442475242 scopus 로고    scopus 로고
    • Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone
    • 10.1016/j.advwatres.2004.03.003
    • Kowalsky M.B., Finsterle S., and Rubin Y. Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone. Adv Water Res 27 6 (2004) 583-599 10.1016/j.advwatres.2004.03.003
    • (2004) Adv Water Res , vol.27 , Issue.6 , pp. 583-599
    • Kowalsky, M.B.1    Finsterle, S.2    Rubin, Y.3
  • 83
    • 38549092787 scopus 로고    scopus 로고
    • Representer-based variational data assimilation in a nonlinear model of nearshore circulation
    • 10.1029/2007jc004117 C11019
    • Kurapov A.L., Egbert G.D., Allen J.S., and Miller R.N. Representer-based variational data assimilation in a nonlinear model of nearshore circulation. J Geophys Res-Ocean 112 C11 (2007) 10.1029/2007jc004117 C11019
    • (2007) J Geophys Res-Ocean , vol.112 , Issue.C11
    • Kurapov, A.L.1    Egbert, G.D.2    Allen, J.S.3    Miller, R.N.4
  • 85
    • 0027091540 scopus 로고
    • Application of a coupled adjoint sensitivity and kriging approach to calibrate a groundwater flow model
    • Lavenue A.M., and Pickens J.F. Application of a coupled adjoint sensitivity and kriging approach to calibrate a groundwater flow model. Water Resour Res 28 6 (1992) 1543-1569
    • (1992) Water Resour Res , vol.28 , Issue.6 , pp. 1543-1569
    • Lavenue, A.M.1    Pickens, J.F.2
  • 86
    • 0029413405 scopus 로고
    • Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields. 2. Application
    • Lavenue A.M., Ramarao B.S., Demarsily G., and Marietta M.G. Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields. 2. Application. Water Resour Res 31 3 (1995) 495-516
    • (1995) Water Resour Res , vol.31 , Issue.3 , pp. 495-516
    • Lavenue, A.M.1    Ramarao, B.S.2    Demarsily, G.3    Marietta, M.G.4
  • 87
    • 0034777648 scopus 로고    scopus 로고
    • Three-dimensional interference test interpretation in a fractured aquifer using the pilot point inverse method
    • Lavenue M., and de Marsily G. Three-dimensional interference test interpretation in a fractured aquifer using the pilot point inverse method. Water Resour Res 37 11 (2001) 2659-2675
    • (2001) Water Resour Res , vol.37 , Issue.11 , pp. 2659-2675
    • Lavenue, M.1    de Marsily, G.2
  • 88
    • 0032772643 scopus 로고    scopus 로고
    • Truncated plurigaussian method: theoretical and practical points of view
    • Baafi E.Y., and Schofield N.A. (Eds), Kluwer Academic Publishers
    • Le Loc'h G., and Galli A. Truncated plurigaussian method: theoretical and practical points of view. In: Baafi E.Y., and Schofield N.A. (Eds). Geostatistics wollongong 1996 vol. 1 (1997), Kluwer Academic Publishers 211-222
    • (1997) Geostatistics wollongong 1996 , vol.1 , pp. 211-222
    • Le Loc'h, G.1    Galli, A.2
  • 90
    • 44649116372 scopus 로고    scopus 로고
    • Investigation of flow and transport processes at the MADE site using ensemble Kalman filter
    • 10.1016/j.advwatres.2008.03.006
    • Liu G.S., Chen Y., and Zhang D.X. Investigation of flow and transport processes at the MADE site using ensemble Kalman filter. Adv Water Res 31 7 (2008) 975-986 10.1016/j.advwatres.2008.03.006
    • (2008) Adv Water Res , vol.31 , Issue.7 , pp. 975-986
    • Liu, G.S.1    Chen, Y.2    Zhang, D.X.3
  • 91
    • 36648998731 scopus 로고    scopus 로고
    • Uncertainty in hydrologic modeling: Toward an integrated data assimilation framework
    • 10.1029/2006wr005756 W07401
    • Liu Y.Q., and Gupta H.V. Uncertainty in hydrologic modeling: Toward an integrated data assimilation framework. Water Resour Res 43 7 (2007) 10.1029/2006wr005756 W07401
    • (2007) Water Resour Res , vol.43 , Issue.7
    • Liu, Y.Q.1    Gupta, H.V.2
  • 92
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of non-linear parameters
    • Marquardt D.W. An algorithm for least-squares estimation of non-linear parameters. J Soc Ind Appl Math 11 (1963) 431-441
    • (1963) J Soc Ind Appl Math , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 93
    • 0029667847 scopus 로고    scopus 로고
    • A reassessment of the groundwater inverse problem
    • McLaughlin D., and Townley L.R. A reassessment of the groundwater inverse problem. Water Resour Res 32 5 (1996) 1131-1161
    • (1996) Water Resour Res , vol.32 , Issue.5 , pp. 1131-1161
    • McLaughlin, D.1    Townley, L.R.2
  • 95
    • 0142214703 scopus 로고    scopus 로고
    • Geostatistical inversion of coupled problems: dealing with computational burden and different types of data
    • Medina A., and Carrera J. Geostatistical inversion of coupled problems: dealing with computational burden and different types of data. J Hydrol 281 (2003) 251-264
    • (2003) J Hydrol , vol.281 , pp. 251-264
    • Medina, A.1    Carrera, J.2
  • 96
    • 0035115376 scopus 로고    scopus 로고
    • Geostatistical inversion of cross-hole pumping tests for identifying preferential flow channels within a shear zone
    • Meier P.M., Medina A., and Carrera J. Geostatistical inversion of cross-hole pumping tests for identifying preferential flow channels within a shear zone. Ground Water 39 1 (2001) 10-17
    • (2001) Ground Water , vol.39 , Issue.1 , pp. 10-17
    • Meier, P.M.1    Medina, A.2    Carrera, J.3
  • 98
    • 0027505187 scopus 로고
    • Prediction of steady state flow in nonuniform geological media by conditional moments: Exact nonlocal formalism, effective conductivities, and weak approximation
    • Neuman S.P., and Orr S. Prediction of steady state flow in nonuniform geological media by conditional moments: Exact nonlocal formalism, effective conductivities, and weak approximation. Water Resour Res 29 2 (1993) 341-364
    • (1993) Water Resour Res , vol.29 , Issue.2 , pp. 341-364
    • Neuman, S.P.1    Orr, S.2
  • 99
    • 16044369179 scopus 로고    scopus 로고
    • Prediction of steady state flow in nonuniform geologic media by conditional moments: Exact nonlocal formalism, effective conductivities, and weak approximation (vol. 29, p. 341, 1993)
    • Neuman S.P., Tartakovsky D., Wallstrom T.C., and Winter C.L. Prediction of steady state flow in nonuniform geologic media by conditional moments: Exact nonlocal formalism, effective conductivities, and weak approximation (vol. 29, p. 341, 1993). Water Resour Res 32 5 (1996) 1479-1480
    • (1996) Water Resour Res , vol.32 , Issue.5 , pp. 1479-1480
    • Neuman, S.P.1    Tartakovsky, D.2    Wallstrom, T.C.3    Winter, C.L.4
  • 100
    • 67349102360 scopus 로고    scopus 로고
    • Maximum likelihood Bayesian averaging of uncertain model predictions
    • Prague, Czech Republic;
    • Neuman SP. Maximum likelihood Bayesian averaging of uncertain model predictions. In: ModelCARE 2002 conference, Prague, Czech Republic; 2002.
    • (2002) ModelCARE 2002 conference
    • Neuman, S.P.1
  • 101
    • 30044432357 scopus 로고    scopus 로고
    • The representer method, the ensemble Kalman filter and the ensemble Kalman smoother: a comparison study using a nonlinear reduced gravity ocean model
    • 10.1016/j.ocemod.2005.08.001
    • Ngodock H.E., Jacobs G.A., and Chen M.S. The representer method, the ensemble Kalman filter and the ensemble Kalman smoother: a comparison study using a nonlinear reduced gravity ocean model. Ocean Modell 12 3-4 (2006) 378-400 10.1016/j.ocemod.2005.08.001
    • (2006) Ocean Modell , vol.12 , Issue.3-4 , pp. 378-400
    • Ngodock, H.E.1    Jacobs, G.A.2    Chen, M.S.3
  • 102
    • 34548860938 scopus 로고    scopus 로고
    • Cycling the representer algorithm for variational data assimilation with a nonlinear reduced gravity ocean model
    • 10.1016/j.ocemod.2007.06.004
    • Ngodock H.E., Smith S.R., and Jacobs G.A. Cycling the representer algorithm for variational data assimilation with a nonlinear reduced gravity ocean model. Ocean Modell 19 3-4 (2007) 101-111 10.1016/j.ocemod.2007.06.004
    • (2007) Ocean Modell , vol.19 , Issue.3-4 , pp. 101-111
    • Ngodock, H.E.1    Smith, S.R.2    Jacobs, G.A.3
  • 103
    • 3042559789 scopus 로고    scopus 로고
    • A modified Levenberg-Marquardt algorithm for quasi-linear geostatistical inversing
    • 10.1016/j.advwaters.2004.03.004
    • Nowak W., and Cirpka O.A. A modified Levenberg-Marquardt algorithm for quasi-linear geostatistical inversing. Adv Water Res 27 7 (2004) 737-750 10.1016/j.advwaters.2004.03.004
    • (2004) Adv Water Res , vol.27 , Issue.7 , pp. 737-750
    • Nowak, W.1    Cirpka, O.A.2
  • 104
    • 0030757228 scopus 로고    scopus 로고
    • Markov chain Monte Carlo methods for conditioning a log-permeability field to pressure data
    • Oliver D.S., Cunha L.B., and Reynolds A.C. Markov chain Monte Carlo methods for conditioning a log-permeability field to pressure data. Math Geol 29 1 (1997) 61-91
    • (1997) Math Geol , vol.29 , Issue.1 , pp. 61-91
    • Oliver, D.S.1    Cunha, L.B.2    Reynolds, A.C.3
  • 105
    • 0031903765 scopus 로고    scopus 로고
    • Gstat: a program for geostatistical modelling, prediction and simulation
    • Pebesma E.J., and Wesseling C.G. Gstat: a program for geostatistical modelling, prediction and simulation. Comput Geosci 24 1 (1998) 17-31
    • (1998) Comput Geosci , vol.24 , Issue.1 , pp. 17-31
    • Pebesma, E.J.1    Wesseling, C.G.2
  • 106
    • 0031105936 scopus 로고    scopus 로고
    • Inverse models: a necessary next step in ground-water modeling
    • Poeter E.P., and Hill M.C. Inverse models: a necessary next step in ground-water modeling. Ground Water 35 2 (1997) 250-260
    • (1997) Ground Water , vol.35 , Issue.2 , pp. 250-260
    • Poeter, E.P.1    Hill, M.C.2
  • 107
    • 33847398702 scopus 로고    scopus 로고
    • Application of the representer method for parameter estimation in numerical reservoir models
    • 10.1007/s10596-006-9035-5
    • Przybysz-Jarnut J.K., Hanea R.G., Jansen J.D., and Heemink A.W. Application of the representer method for parameter estimation in numerical reservoir models. Comput Geosci 11 1 (2007) 73-85 10.1007/s10596-006-9035-5
    • (2007) Comput Geosci , vol.11 , Issue.1 , pp. 73-85
    • Przybysz-Jarnut, J.K.1    Hanea, R.G.2    Jansen, J.D.3    Heemink, A.W.4
  • 108
    • 0029413406 scopus 로고
    • Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields. 1. Theory and computational experiments
    • Ramarao B.S., Lavenue A.M., Demarsily G., and Marietta M.G. Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields. 1. Theory and computational experiments. Water Resour Res 31 3 (1995) 475-493
    • (1995) Water Resour Res , vol.31 , Issue.3 , pp. 475-493
    • Ramarao, B.S.1    Lavenue, A.M.2    Demarsily, G.3    Marietta, M.G.4
  • 109
    • 34548183819 scopus 로고    scopus 로고
    • Stochastic hydrogeology: what professionals really need?
    • 10.1111/j.1745-6584.2007.00340.x
    • Renard P. Stochastic hydrogeology: what professionals really need?. Ground Water 45 5 (2007) 531-541 10.1111/j.1745-6584.2007.00340.x
    • (2007) Ground Water , vol.45 , Issue.5 , pp. 531-541
    • Renard, P.1
  • 110
    • 0018015137 scopus 로고
    • Modelling by shortest data description
    • Rissanen J. Modelling by shortest data description. Automatica 14 (1978) 465-471
    • (1978) Automatica , vol.14 , pp. 465-471
    • Rissanen, J.1
  • 111
    • 33644614043 scopus 로고    scopus 로고
    • Assessment of uncertainty associated with the estimation of well catchments by moment equations
    • 10.1016/j.advwatres.2005.07.005
    • Riva M., Guadagnini A., and De Simoni M. Assessment of uncertainty associated with the estimation of well catchments by moment equations. Adv Water Res 29 5 (2006) 676-691 10.1016/j.advwatres.2005.07.005
    • (2006) Adv Water Res , vol.29 , Issue.5 , pp. 676-691
    • Riva, M.1    Guadagnini, A.2    De Simoni, M.3
  • 112
    • 0025206016 scopus 로고
    • Stochastic modeling of macrodispersion in heterogeneous porous media
    • Rubin Y. Stochastic modeling of macrodispersion in heterogeneous porous media. Water Resour Res 26 1 (1990) 133-141
    • (1990) Water Resour Res , vol.26 , Issue.1 , pp. 133-141
    • Rubin, Y.1
  • 113
    • 0026292242 scopus 로고
    • Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities
    • Rubin Y. Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities. Water Resour Res 27 6 (1991) 1291-1308
    • (1991) Water Resour Res , vol.27 , Issue.6 , pp. 1291-1308
    • Rubin, Y.1
  • 115
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz G. Estimating the dimension of a model. Ann Stat 6 2 (1978) 461-464
    • (1978) Ann Stat , vol.6 , Issue.2 , pp. 461-464
    • Schwarz, G.1
  • 117
    • 0019727608 scopus 로고
    • Mass transport, 2. Analysis of uncertainty in prediction
    • Smith L., and Schwartz F.W. Mass transport, 2. Analysis of uncertainty in prediction. Water Resour Res 17 2 (1981) 351-369
    • (1981) Water Resour Res , vol.17 , Issue.2 , pp. 351-369
    • Smith, L.1    Schwartz, F.W.2
  • 118
    • 0036880158 scopus 로고    scopus 로고
    • Uncertainty estimation of well catchments in heterogeneous aquifers
    • Stauffer F., Attinger S., Zimmermann S., and Kinzelbach W. Uncertainty estimation of well catchments in heterogeneous aquifers. Water Resour Res 38 11 (2002) 1238
    • (2002) Water Resour Res , vol.38 , Issue.11 , pp. 1238
    • Stauffer, F.1    Attinger, S.2    Zimmermann, S.3    Kinzelbach, W.4
  • 119
    • 4544276822 scopus 로고    scopus 로고
    • Semianalytical uncertainty estimation of well catchments: conditioning by head and transmissivity data
    • 10.1029/2004wr003320 W08305
    • Stauffer F., Hendricks Franssen H.J., and Kinzelbach W. Semianalytical uncertainty estimation of well catchments: conditioning by head and transmissivity data. Water Resour Res 40 8 (2004) 10.1029/2004wr003320 W08305
    • (2004) Water Resour Res , vol.40 , Issue.8
    • Stauffer, F.1    Hendricks Franssen, H.J.2    Kinzelbach, W.3
  • 120
    • 0042054426 scopus 로고    scopus 로고
    • Conditional simulation of complex geological structures using multiple-point statistics
    • Strebelle S. Conditional simulation of complex geological structures using multiple-point statistics. Math Geol 34 1 (2002) 1-21
    • (2002) Math Geol , vol.34 , Issue.1 , pp. 1-21
    • Strebelle, S.1
  • 121
    • 67349172259 scopus 로고
    • A stochastic inverse solution for transient groundwater flow: parameter identification and reliability analysis
    • Sun N.Z., and Yeh W.W.G. A stochastic inverse solution for transient groundwater flow: parameter identification and reliability analysis. Water Resour Res 21 12 (1992) 1851-1860
    • (1992) Water Resour Res , vol.21 , Issue.12 , pp. 1851-1860
    • Sun, N.Z.1    Yeh, W.W.G.2
  • 122
    • 39649103429 scopus 로고    scopus 로고
    • Dynamic data integration for structural modeling: model screening approach using a distance-based model parameterization
    • 10.1007/s10596-007-9063-9
    • Suzuki S., Caumon G., and Caers J. Dynamic data integration for structural modeling: model screening approach using a distance-based model parameterization. Comput Geosci 12 1 (2008) 105-119 10.1007/s10596-007-9063-9
    • (2008) Comput Geosci , vol.12 , Issue.1 , pp. 105-119
    • Suzuki, S.1    Caumon, G.2    Caers, J.3
  • 124
    • 33746747003 scopus 로고    scopus 로고
    • Popper, Bayes and the inverse problem
    • Tarantola A. Popper, Bayes and the inverse problem. Nature Phys 2 (2006) 492-494
    • (2006) Nature Phys , vol.2 , pp. 492-494
    • Tarantola, A.1
  • 125
    • 0001300995 scopus 로고
    • Regularization of incorrectly posed problems
    • Tikhonov A.N. Regularization of incorrectly posed problems. Sov Math Dokl 4 (1963) 1624-1627
    • (1963) Sov Math Dokl , vol.4 , pp. 1624-1627
    • Tikhonov, A.N.1
  • 126
    • 0001300994 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method
    • Tikhonov A.N. Solution of incorrectly formulated problems and the regularization method. Sov Math Dokl 4 (1963) 1035-1038
    • (1963) Sov Math Dokl , vol.4 , pp. 1035-1038
    • Tikhonov, A.N.1
  • 127
    • 28244473669 scopus 로고    scopus 로고
    • A hybrid regularized inversion methodology for highly parameterized environmental models
    • 10.1029/2005wr003995
    • Tonkin M.J., and Doherty J. A hybrid regularized inversion methodology for highly parameterized environmental models. Water Resour Res 41 10 (2005) 10.1029/2005wr003995
    • (2005) Water Resour Res , vol.41 , Issue.10
    • Tonkin, M.J.1    Doherty, J.2
  • 128
    • 0022413796 scopus 로고
    • Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models
    • Townley L.R., and Wilson J.L. Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models. Water Resour Res 21 12 (1985) 1851-1860
    • (1985) Water Resour Res , vol.21 , Issue.12 , pp. 1851-1860
    • Townley, L.R.1    Wilson, J.L.2
  • 130
    • 2942711688 scopus 로고    scopus 로고
    • A representer-based inverse method for groundwater flow and transport applications
    • 10.1029/2003wr002922
    • Valstar J.R., McLaughlin D.B., Stroet C., and van Geer F.C. A representer-based inverse method for groundwater flow and transport applications. Water Resour Res 40 5 (2004) 10.1029/2003wr002922
    • (2004) Water Resour Res , vol.40 , Issue.5
    • Valstar, J.R.1    McLaughlin, D.B.2    Stroet, C.3    van Geer, F.C.4
  • 131
    • 34548134026 scopus 로고    scopus 로고
    • Estimation of recharge from floods in disconnected stream-aquifer systems
    • 10.1111/j.1745-6584.2007.00326.x
    • Vazquez-Sune E., Capino B., Abarca E., and Carrera J. Estimation of recharge from floods in disconnected stream-aquifer systems. Ground Water 45 5 (2007) 579-589 10.1111/j.1745-6584.2007.00326.x
    • (2007) Ground Water , vol.45 , Issue.5 , pp. 579-589
    • Vazquez-Sune, E.1    Capino, B.2    Abarca, E.3    Carrera, J.4
  • 132
    • 22544448996 scopus 로고    scopus 로고
    • Inverse modeling of groundwater flow using model reduction
    • 10.1029/2004wr003698
    • Vermeulen P.T.M., Heemink A.W., and Valstar J.R. Inverse modeling of groundwater flow using model reduction. Water Resour Res 41 6 (2005) 10.1029/2004wr003698
    • (2005) Water Resour Res , vol.41 , Issue.6
    • Vermeulen, P.T.M.1    Heemink, A.W.2    Valstar, J.R.3
  • 133
    • 0035700905 scopus 로고    scopus 로고
    • Three-dimensional numerical inversion of pneumatic cross-hole tests in unsaturated fractured tuff. 2. Equivalent parameters, high-resolution stochastic imaging and scale effects
    • Vesselinov V.V., Neuman S.P., and Illman W.A. Three-dimensional numerical inversion of pneumatic cross-hole tests in unsaturated fractured tuff. 2. Equivalent parameters, high-resolution stochastic imaging and scale effects. Water Resour Res 37 12 (2001) 3019-3041
    • (2001) Water Resour Res , vol.37 , Issue.12 , pp. 3019-3041
    • Vesselinov, V.V.1    Neuman, S.P.2    Illman, W.A.3
  • 134
    • 1542757127 scopus 로고    scopus 로고
    • A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters
    • 10.1029/2002wr001642
    • Vrugt J.A., Gupta H.V., Bouten W., and Sorooshian S. A shuffled complex evolution metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters. Water Resour Res 39 8 (2003) 10.1029/2002wr001642
    • (2003) Water Resour Res , vol.39 , Issue.8
    • Vrugt, J.A.1    Gupta, H.V.2    Bouten, W.3    Sorooshian, S.4
  • 135
    • 14944365603 scopus 로고    scopus 로고
    • Improved treatment of uncertainty in hydrologic modeling: combining the strengths of global optimization and data assimilation
    • 10.1029/2004wr003059
    • Vrugt J.A., Diks C.G.H., Gupta H.V., Bouten W., and Verstraten J.M. Improved treatment of uncertainty in hydrologic modeling: combining the strengths of global optimization and data assimilation. Water Resour Res 41 1 (2005) 10.1029/2004wr003059
    • (2005) Water Resour Res , vol.41 , Issue.1
    • Vrugt, J.A.1    Diks, C.G.H.2    Gupta, H.V.3    Bouten, W.4    Verstraten, J.M.5
  • 136
    • 0034512839 scopus 로고    scopus 로고
    • Production data integration in sand/shale reservoirs using sequential self-calibration and geomorphing: A comparison
    • Dallas, Texas: Soc Petroleum Eng;
    • Wen XH, Tran TT, Behrens RA, Gomez-Hernandez JJ. Production data integration in sand/shale reservoirs using sequential self-calibration and geomorphing: a comparison. In: 2000 SPE annual technical conference and exhibition, Dallas, Texas: Soc Petroleum Eng; 2000.
    • (2000) 2000 SPE annual technical conference and exhibition
    • Wen, X.H.1    Tran, T.T.2    Behrens, R.A.3    Gomez-Hernandez, J.J.4
  • 137
    • 0033852318 scopus 로고    scopus 로고
    • A full-Bayesian approach to the groundwater inverse problem for steady state flow
    • Woodbury A.D., and Ulrych T.J. A full-Bayesian approach to the groundwater inverse problem for steady state flow. Water Resour Res 36 8 (2000) 2081-2093
    • (2000) Water Resour Res , vol.36 , Issue.8 , pp. 2081-2093
    • Woodbury, A.D.1    Ulrych, T.J.2
  • 138
    • 43249109413 scopus 로고    scopus 로고
    • On model selection criteria in multimodel analysis
    • 10.1029/2008wr006803
    • Ye M., Meyer P.D., and Neuman S.P. On model selection criteria in multimodel analysis. Water Resour Res 44 3 (2008) 10.1029/2008wr006803
    • (2008) Water Resour Res , vol.44 , Issue.3
    • Ye, M.1    Meyer, P.D.2    Neuman, S.P.3
  • 139
    • 0029777250 scopus 로고    scopus 로고
    • An iterative stochastic inverse method: conditional effective transmissivity and hydraulic head fields
    • Yeh T.C.J., Jin M.H., and Hanna S. An iterative stochastic inverse method: conditional effective transmissivity and hydraulic head fields. Water Resour Res 32 1 (1996) 85-92
    • (1996) Water Resour Res , vol.32 , Issue.1 , pp. 85-92
    • Yeh, T.C.J.1    Jin, M.H.2    Hanna, S.3
  • 140
    • 0022823154 scopus 로고
    • Review of parameter identification procedures in groundwater hydrology
    • Yeh W.W.G. Review of parameter identification procedures in groundwater hydrology. Water Resour Res 22 2 (1986) 95-108
    • (1986) Water Resour Res , vol.22 , Issue.2 , pp. 95-108
    • Yeh, W.W.G.1
  • 142
    • 0031748188 scopus 로고    scopus 로고
    • A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow
    • Zimmerman D.A., de Marsily G., Gotway C.A., Marietta M.G., Axness C.L., Beauheim R.L., et al. A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow. Water Resour Res 34 6 (1998) 1373-1413
    • (1998) Water Resour Res , vol.34 , Issue.6 , pp. 1373-1413
    • Zimmerman, D.A.1    de Marsily, G.2    Gotway, C.A.3    Marietta, M.G.4    Axness, C.L.5    Beauheim, R.L.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.