메뉴 건너뛰기




Volumn 281, Issue 4, 2003, Pages 251-264

Geostatistical inversion of coupled problems: Dealing with computational burden and different types of data

Author keywords

Computational burden; Geostatistical inversion; Jacobian matrices

Indexed keywords

COMPUTATION THEORY; COSTS; GROUNDWATER; SENSITIVITY ANALYSIS;

EID: 0142214703     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(03)00190-2     Document Type: Article
Times cited : (71)

References (34)
  • 1
    • 85042555530 scopus 로고
    • A new look at the Bayes procedure
    • Akaike, H., 1978. A new look at the Bayes procedure. Biometrika 65 (1), 53-59.
    • (1978) Biometrika , vol.65 , Issue.1 , pp. 53-59
    • Akaike, H.1
  • 2
    • 0031593016 scopus 로고    scopus 로고
    • Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data 2. Demonstration on a synthetic aquifer
    • Capilla, J.E., Gómez-Hernández, J., Sahuquillo, A., 1997. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data 2. Demonstration on a synthetic aquifer. Journal of hydrology 203 (1-4), 175-188.
    • (1997) Journal of Hydrology , vol.203 , Issue.1-4 , pp. 175-188
    • Capilla, J.E.1    Gómez-Hernández, J.2    Sahuquillo, A.3
  • 3
    • 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., Gómez-Hernández, J.J., 1999. Simulation of non-Gaussian transmissivity fields honoring piezometric data and integrating soft and secondary information. Mathematical Geology 31 (7), 907-927.
    • (1999) Mathematical Geology , vol.31 , Issue.7 , pp. 907-927
    • Capilla, J.E.1    Rodrigo, J.2    Gómez-Hernández, J.J.3
  • 4
    • 0000342150 scopus 로고
    • State of the art of inverse problem applied to the flow and solute transport equations
    • Custodio, E., Gurguí, A., Lobo Ferreira, J.P. (Eds.), Dordrecht-Reidel
    • Carrera, J., 1987. State of the art of inverse problem applied to the flow and solute transport equations. In: Custodio, E., Gurguí, A., Lobo Ferreira, J.P. (Eds.), Groundwater Flow and Quality Modeling, Dordrecht-Reidel, pp. 273-283.
    • (1987) Groundwater Flow and Quality Modeling , pp. 273-283
    • Carrera, J.1
  • 6
    • 0026384174 scopus 로고
    • On geostatistical formulations of the groundwater flow inverse problem
    • Carrera, J., Glorioso, L., 1991. On geostatistical formulations of the groundwater flow inverse problem. Advances in Water Resources 14 (5), 273-283.
    • (1991) Advances in Water Resources , vol.14 , Issue.5 , pp. 273-283
    • Carrera, J.1    Glorioso, L.2
  • 7
    • 0007630962 scopus 로고
    • An improved form of adjoint-state equations for transient problems
    • Peters, A., Wittun G., Herrling, B., Meissner, U., Brebbia, C.A., Gray, W.G., Pinder, G.F. (Eds.), Kluwer Academic
    • Carrera, J., Medina, A., 1994. An improved form of adjoint-state equations for transient problems. In: Peters, A., Wittun G., Herrling, B., Meissner, U., Brebbia, C.A., Gray, W.G., Pinder, G.F. (Eds.), X International Conference on Computational Methods in Water Resources, Kluwer Academic.
    • (1994) X International Conference on Computational Methods in Water Resources
    • Carrera, J.1    Medina, A.2
  • 8
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under steady-state and transient conditions I. Background and statistical framework
    • Carrera, J., Neuman, S.P., 1986a. Estimation of aquifer parameters under steady-state and transient conditions I. Background and statistical framework. Water Resources Research 22 (2), 199-210.
    • (1986) Water Resources Research , vol.22 , Issue.2 , pp. 199-210
    • Carrera, J.1    Neuman, S.P.2
  • 9
    • 0022923349 scopus 로고
    • Estimation of aquifer parameters under steady-state and transient conditions II. Uniqueness, stability and solution algorithms
    • Carrera, J., Neuman, S.P., 1986b. Estimation of aquifer parameters under steady-state and transient conditions II. Uniqueness, stability and solution algorithms. Water Resources Research 22 (2), 211-227.
    • (1986) Water Resources Research , vol.22 , Issue.2 , pp. 211-227
    • Carrera, J.1    Neuman, S.P.2
  • 10
    • 0020332331 scopus 로고
    • Effects of kriging and inverse modeling on conditional simulation of the Avra Valley aquifer in southern Arizona
    • Clifton, P.M., Neuman, S.P., 1982. Effects of kriging and inverse modeling on conditional simulation of the Avra Valley aquifer in southern Arizona. Water Resources Research 18 (4), 1215-1234.
    • (1982) Water Resources Research , vol.18 , Issue.4 , pp. 1215-1234
    • Clifton, P.M.1    Neuman, S.P.2
  • 11
    • 0020332321 scopus 로고
    • Incorporation of prior information on parameters into non-linear regression groundwater-flow models. 1. Theory
    • Cooley, R.L., 1982. Incorporation of prior information on parameters into non-linear regression groundwater-flow models. 1. Theory. Water Resources Research 18 (4), 965-976.
    • (1982) Water Resources Research , vol.18 , Issue.4 , pp. 965-976
    • Cooley, R.L.1
  • 12
    • 0022166210 scopus 로고
    • A comparison of several methods of solving nonlinear-regression groundwater-flow problems
    • Cooley, R.L., 1985. A comparison of several methods of solving nonlinear-regression groundwater-flow problems. Water Resources Research 21 (10), 1525-1538.
    • (1985) Water Resources Research , vol.21 , Issue.10 , pp. 1525-1538
    • Cooley, R.L.1
  • 13
    • 0021896506 scopus 로고
    • Stochastic modeling of groundwater flow by unconditional and conditional probabilities: The inverse problem
    • Dagan, G., 1985. Stochastic modeling of groundwater flow by unconditional and conditional probabilities: the inverse problem. Water Resources Research 21 (1), 65-72.
    • (1985) Water Resources Research , vol.21 , Issue.1 , pp. 65-72
    • Dagan, G.1
  • 16
    • 0031593106 scopus 로고    scopus 로고
    • Stochastic simulation of transmissivity fields conditional to both transmisivity and piezometric data. I Theory
    • Gómez-Hernández, J.J., Sahuquillo, A., Capilla, J., 1997. Stochastic simulation of transmissivity fields conditional to both transmisivity and piezometric data. I Theory. Journal of Hydrology 203 (1-4), 162-174.
    • (1997) Journal of Hydrology , vol.203 , Issue.1-4 , pp. 162-174
    • Gómez-Hernández, J.J.1    Sahuquillo, A.2    Capilla, J.3
  • 17
    • 0032080182 scopus 로고    scopus 로고
    • A controlled experiment in ground water flow model calibration
    • Hill, M.C., Cooley, R.L., Pollock, D.W., 1998. A controlled experiment in ground water flow model calibration. Ground Water 36 (3), 520-535.
    • (1998) Ground Water , vol.36 , Issue.3 , pp. 520-535
    • Hill, M.C.1    Cooley, R.L.2    Pollock, D.W.3
  • 18
    • 0021639958 scopus 로고
    • An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling
    • Hoeksema, R.J., Kitanidis, P.K., 1984. An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling. Water Resources Research 20 (7), 1003-1020.
    • (1984) Water Resources Research , vol.20 , Issue.7 , pp. 1003-1020
    • Hoeksema, R.J.1    Kitanidis, P.K.2
  • 19
    • 0022075522 scopus 로고
    • Comparison of Gaussian conditional mean and kriging estimation in the geostatistical solution of the inverse problem
    • Hoeksema, R.J., Kitanidis, P.K., 1985. Comparison of Gaussian conditional mean and kriging estimation in the geostatistical solution of the inverse problem. Water Resources Research 21 (6), 825-836.
    • (1985) Water Resources Research , vol.21 , Issue.6 , pp. 825-836
    • Hoeksema, R.J.1    Kitanidis, P.K.2
  • 20
    • 0028420162 scopus 로고
    • Aplication of Akaike information criterion statistics to geotechnical inverse analysis: The extended Bayesian method
    • Honjo, Y., Wen-Tsung, L., Sakajo, S., 1994. Aplication of Akaike information criterion statistics to geotechnical inverse analysis: the extended Bayesian method. Structural Safety 14, 5-29.
    • (1994) Structural Safety , vol.14 , pp. 5-29
    • Honjo, Y.1    Wen-Tsung, L.2    Sakajo, S.3
  • 21
    • 0029413779 scopus 로고
    • Quasi-linear geostatistical theory for inversing
    • Kitanidis, P.K., 1995. Quasi-linear geostatistical theory for inversing. Water Resources Research 31 (10), 2411-2419.
    • (1995) Water Resources Research , vol.31 , Issue.10 , pp. 2411-2419
    • Kitanidis, P.K.1
  • 22
    • 0020969318 scopus 로고
    • A geostatistical approach to the inverse problem in groundwater modeling (steady-state) and one dimensional simulations
    • Kitanidis, P.K., Vomvoris, E.G., 1983. A geostatistical approach to the inverse problem in groundwater modeling (steady-state) and one dimensional simulations. Water Resources Research 19 (3), 677-690.
    • (1983) Water Resources Research , vol.19 , Issue.3 , pp. 677-690
    • Kitanidis, P.K.1    Vomvoris, E.G.2
  • 23
    • 0029667847 scopus 로고    scopus 로고
    • A reassesment of the groundwater inverse problem
    • McLaughlin, D., Townley, L.R., 1996. A reassesment of the groundwater inverse problem. Water Resources Research 32 (5), 1131-1161.
    • (1996) Water Resources Research , vol.32 , Issue.5 , pp. 1131-1161
    • McLaughlin, D.1    Townley, L.R.2
  • 24
    • 0029659809 scopus 로고    scopus 로고
    • Coupled estimation of flow and solute transport parameters
    • Medina, A., Carrera, J., 1996. Coupled estimation of flow and solute transport parameters. Water Resources Research 32 (10), 3063-3076.
    • (1996) Water Resources Research , vol.32 , Issue.10 , pp. 3063-3076
    • Medina, A.1    Carrera, J.2
  • 25
    • 0001177845 scopus 로고
    • Calibration of distributed parameter groundwater flow model viewed as a multiple objective decision process under uncertainty
    • Neuman, S.P., 1973. Calibration of distributed parameter groundwater flow model viewed as a multiple objective decision process under uncertainty. Water Resources Research 9 (4), 1006-1021.
    • (1973) Water Resources Research , vol.9 , Issue.4 , pp. 1006-1021
    • Neuman, S.P.1
  • 26
    • 0018651209 scopus 로고
    • A statistical approach to the inverse problems of aquifer hydrology. 1. Theory
    • Neuman, S.P., Yakowitz, S., 1979. A statistical approach to the inverse problems of aquifer hydrology. 1. Theory. Water Resources Research 15 (4), 845-860.
    • (1979) Water Resources Research , vol.15 , Issue.4 , pp. 845-860
    • Neuman, S.P.1    Yakowitz, S.2
  • 27
    • 0023524376 scopus 로고
    • Stochastic identification of transmissivity and effective recharge in steady groundwater flow: I. Theory
    • Rubin, Y., Dagan, G., 1987. Stochastic identification of transmissivity and effective recharge in steady groundwater flow: I. Theory. Water Resources Research 23 (7), 1185-1192.
    • (1987) Water Resources Research , vol.23 , Issue.7 , pp. 1185-1192
    • Rubin, Y.1    Dagan, G.2
  • 28
    • 0021639957 scopus 로고
    • Parameter identification of groundwater aquifer models. A generalized least squares approach
    • Sadeghipur, J., Yen, W.W.-G., 1984. Parameter identification of groundwater aquifer models. A generalized least squares approach. Water Resources Research 20 (7), 971-979.
    • (1984) Water Resources Research , vol.20 , Issue.7 , pp. 971-979
    • Sadeghipur, J.1    Yen, W.W.-G.2
  • 29
    • 0001946665 scopus 로고
    • Conditional simulation of transmissivity fields honouring piezometric data
    • Blain, W.R., Cabrera, E. (Eds.), Comput Mech, Billerica, MA
    • Sahuquillo, A., Capilla, J., Gómez-Hernández, J.J., Andreu, J., 1992. Conditional simulation of transmissivity fields honouring piezometric data. In: Blain, W.R., Cabrera, E. (Eds.), Fluid Flow Modeling, Comput Mech, Billerica, MA, pp. 201-212.
    • (1992) Fluid Flow Modeling , pp. 201-212
    • Sahuquillo, A.1    Capilla, J.2    Gómez-Hernández, J.J.3    Andreu, J.4
  • 30
    • 0027088065 scopus 로고
    • A stochastic inverse solution for transient groundwater flow: Parameter identification and reliability analysis
    • Sun, N.Z., Yeh, W.W.G., 1992. A stochastic inverse solution for transient groundwater flow: parameter identification and reliability analysis. Water Resources Research 28 (12), 3269-3280.
    • (1992) Water Resources Research , vol.28 , Issue.12 , pp. 3269-3280
    • Sun, N.Z.1    Yeh, W.W.G.2
  • 31
    • 0022413796 scopus 로고
    • Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models
    • Townley, L.R., Wilson, J.L., 1985. Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models. Water Resources Research 21 (12), 1851-1860.
    • (1985) Water Resources Research , vol.21 , Issue.12 , pp. 1851-1860
    • Townley, L.R.1    Wilson, J.L.2
  • 32
    • 0022823154 scopus 로고
    • Review of parameter identification procedures in groundwater hydrology. The inverse problem
    • Yeh, W.W.G., 1986. Review of parameter identification procedures in groundwater hydrology. The inverse problem. Water Resources Research 22 (2), 95-108.
    • (1986) Water Resources Research , vol.22 , Issue.2 , pp. 95-108
    • Yeh, W.W.G.1
  • 33
    • 0029777250 scopus 로고    scopus 로고
    • An iterative stochastic inverse method: Conditional effective transmissivity and hydraulic head fields
    • Yeh, T.C.J., Jin, M., Hanna, S., 1996. An iterative stochastic inverse method: conditional effective transmissivity and hydraulic head fields. Water Resources Research 32 (1), 85-92.
    • (1996) Water Resources Research , vol.32 , Issue.1 , pp. 85-92
    • Yeh, T.C.J.1    Jin, M.2    Hanna, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.