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Volumn 37, Issue 6, 2011, Pages 731-738

A truncated Levenberg-Marquardt algorithm for the calibration of highly parameterized nonlinear models

Author keywords

Inverse modeling; ITOUGH2; Levenberg Marquardt algorithm; Multiphase flow; Parameterization

Indexed keywords

FORWARD SIMULATION; GEOPHYSICAL DATA; GEOSTATISTICAL; HETEROGENEOUS SOILS; HIGH IMPACT; HIGHLY-CORRELATED; HYDROGEOLOGICAL; INDEPENDENT PARAMETERS; INVERSE MODELING; ITERATIVE CALIBRATION; ITOUGH2; JOINT INVERSION; LEVENBERG-MARQUARDT; LEVENBERG-MARQUARDT ALGORITHM; LEVENBERG-MARQUARDT MINIMIZATION; LOW SENSITIVITY; NON-LINEAR MODEL; NULL SPACE; PARAMETERIZED; PARTIALLY SATURATED; PETROPHYSICAL; POROUS MEDIA; ROBUST SOLUTIONS; SENSITIVITY MATRIX; SINGULAR VALUES; SOLUTION SPACE; STATE VARIABLES; STRONGLY NONLINEAR; SYNTHETIC DATASETS; TRUNCATED SINGULAR VALUE DECOMPOSITION;

EID: 79953121386     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2010.11.005     Document Type: Article
Times cited : (40)

References (29)
  • 1
    • 33746129830 scopus 로고    scopus 로고
    • Pilot points method incorporating prior information for solving the groundwater flow inverse problem
    • Alcolea A., Carrera J., Medina A. Pilot points method incorporating prior information for solving the groundwater flow inverse problem. Advances in Water Resources 2006, 29(11):1678-1689. 10.1016/j.advwatres.2005.12.009.
    • (2006) Advances in Water Resources , vol.29 , Issue.11 , pp. 1678-1689
    • Alcolea, A.1    Carrera, J.2    Medina, A.3
  • 2
    • 84968510937 scopus 로고
    • A class of methods for solving nonlinear simultaneous equations
    • Broyden C.G. A class of methods for solving nonlinear simultaneous equations. Mathematics of Computation 1965, 19(92):577-593. 10.2307/2003941.
    • (1965) Mathematics of Computation , vol.19 , Issue.92 , pp. 577-593
    • Broyden, C.G.1
  • 3
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information
    • Carrera C., Neuman S.P. Estimation of aquifer parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information. Water Resources Research 1986, 22(2):199-210.
    • (1986) Water Resources Research , vol.22 , Issue.2 , pp. 199-210
    • Carrera, C.1    Neuman, S.P.2
  • 5
    • 0000154967 scopus 로고
    • Interpretation of inference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model
    • D. Reidel Pub. Co.
    • deMarsily G.H., Lavedan G., Boucher M., Fasanino G. Interpretation of inference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model. Geostatistics for Natural Resources Characterization 1984, Part 2:831-849. D. Reidel Pub. Co.
    • (1984) Geostatistics for Natural Resources Characterization , Issue.PART 2 , pp. 831-849
    • deMarsily, G.H.1    Lavedan, G.2    Boucher, M.3    Fasanino, G.4
  • 7
    • 33645545104 scopus 로고    scopus 로고
    • Multiphase inverse modeling: review and iTOUGH2 applications
    • Finsterle S. Multiphase inverse modeling: review and iTOUGH2 applications. Vadose Zone Journal 2004, 3:747-762.
    • (2004) Vadose Zone Journal , vol.3 , pp. 747-762
    • Finsterle, S.1
  • 8
    • 40549113004 scopus 로고    scopus 로고
    • Joint hydrological-geophysical inversion for soil structure identification
    • Finsterle S., Kowalsky M.B. Joint hydrological-geophysical inversion for soil structure identification. Vadose Zone Journal 2008, 7:287-293. 10.2136/vzj2006.0078.
    • (2008) Vadose Zone Journal , vol.7 , pp. 287-293
    • Finsterle, S.1    Kowalsky, M.B.2
  • 9
    • 0029413033 scopus 로고
    • Solving the estimation-identification problem in two-phase flow modeling
    • Finsterle S., Pruess K. Solving the estimation-identification problem in two-phase flow modeling. Water Resources Research 1995, 31(4):913-924.
    • (1995) Water Resources Research , vol.31 , Issue.4 , pp. 913-924
    • Finsterle, S.1    Pruess, K.2
  • 10
    • 0031760415 scopus 로고    scopus 로고
    • Robust estimation of hydrogeologic model parameters
    • Finsterle S., Najita J. Robust estimation of hydrogeologic model parameters. Water Resources Research 1998, 34(11):2939-2947.
    • (1998) Water Resources Research , vol.34 , Issue.11 , pp. 2939-2947
    • Finsterle, S.1    Najita, J.2
  • 11
    • 79953103536 scopus 로고    scopus 로고
    • Error handling strategies in multiphase inverse modeling
    • this issue.
    • Finsterle, S., Zhang, Y., this issue. Error handling strategies in multiphase inverse modeling. Computers and Geosciences.
    • Computers and Geosciences.
    • Finsterle, S.1    Zhang, Y.2
  • 13
    • 0031593106 scopus 로고    scopus 로고
    • Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data: 1. Theory
    • Gómez-Hérnandez J.J., Sahuquillo A., Capilla J.E. Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data: 1. Theory. Journal of Hydrology 1997, 204(1-4):162-174.
    • (1997) Journal of Hydrology , vol.204 , Issue.1-4 , pp. 162-174
    • Gómez-Hérnandez, J.J.1    Sahuquillo, A.2    Capilla, J.E.3
  • 14
    • 67349254470 scopus 로고    scopus 로고
    • A comparison of seven methods for the inverse modelling of groundwater flow. Application to the characterisation of well catchments
    • Hendricks Franssen H.J., Alcolea A., Riva M., Bakr M., van de Wiel N., Stauffer F., Guadagnini A. A comparison of seven methods for the inverse modelling of groundwater flow. Application to the characterisation of well catchments. Advances in Water Resources 2009, 32(6):851-872. 10.1016/j.advwatres.2009.02.011.
    • (2009) Advances in Water Resources , vol.32 , Issue.6 , pp. 851-872
    • Hendricks Franssen, H.J.1    Alcolea, A.2    Riva, M.3    Bakr, M.4    van de Wiel, N.5    Stauffer, F.6    Guadagnini, A.7
  • 15
    • 2442475242 scopus 로고    scopus 로고
    • Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone
    • Kowalsky M.B., Finsterle S., Rubin Y. Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone. Advances in Water Resources 2004, 27(6):583-599.
    • (2004) Advances in Water Resources , vol.27 , Issue.6 , pp. 583-599
    • Kowalsky, M.B.1    Finsterle, S.2    Rubin, Y.3
  • 17
    • 0000873069 scopus 로고
    • A method for the solution of certain nonlinear problems in least squares
    • Levenberg K. A method for the solution of certain nonlinear problems in least squares. The Quarterly of Applied Mathematics 1944, 2:164-168.
    • (1944) The Quarterly of Applied Mathematics , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 19
    • 0000169232 scopus 로고
    • An algorithm for least squares estimation of nonlinear parameters
    • Marquardt D.W. An algorithm for least squares estimation of nonlinear parameters. SIAM Journal of Applied Mathematics 1963, 11:431-441.
    • (1963) SIAM Journal of Applied Mathematics , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 20
    • 20844435676 scopus 로고    scopus 로고
    • Role of the calibration process in reducing model predictive error
    • Moore C., Doherty J. Role of the calibration process in reducing model predictive error. Water Resources Research 2005, 41:W05020. 10.1029/2004WR003501.
    • (2005) Water Resources Research , vol.41
    • Moore, C.1    Doherty, J.2
  • 21
    • 31644442912 scopus 로고    scopus 로고
    • The cost of uniqueness in groundwater model calibration
    • Moore C., Doherty J. The cost of uniqueness in groundwater model calibration. Advances in Water Resources 2006, 29:605-623.
    • (2006) Advances in Water Resources , vol.29 , pp. 605-623
    • Moore, C.1    Doherty, J.2
  • 22
    • 79957573619 scopus 로고    scopus 로고
    • TOUGH2 User's Guide, Version 2.0. Report LBNL-43134, Lawrence Berkeley National Laboratory, Berkeley, Calif.
    • Pruess, K., Oldenburg, C., Moridis, G., 1999. TOUGH2 User's Guide, Version 2.0. Report LBNL-43134, Lawrence Berkeley National Laboratory, Berkeley, Calif.
    • (1999)
    • Pruess, K.1    Oldenburg, C.2    Moridis, G.3
  • 23
    • 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., de Marsily G., Marietta M.G. Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: 1. Theory and computational experiments. Water Resources Research 1995, 31(3):475-493.
    • (1995) Water Resources Research , vol.31 , Issue.3 , pp. 475-493
    • RamaRao, B.S.1    de Marsily, G.2    Marietta, M.G.3
  • 24
    • 7744229939 scopus 로고    scopus 로고
    • Local function approximation in evolutionary algorithms for the optimization of costly functions
    • Regis R.G., Shoemaker C.A. Local function approximation in evolutionary algorithms for the optimization of costly functions. IEEE Transactions on Evolutionary Computation 2004, 8(5):490-505.
    • (2004) IEEE Transactions on Evolutionary Computation , vol.8 , Issue.5 , pp. 490-505
    • Regis, R.G.1    Shoemaker, C.A.2
  • 25
    • 0025626217 scopus 로고
    • Calibration of time domain reflectometry for water content measurement using a composite dielectric approach
    • Roth K.R., Schulin R., Flühler H., Attinger W. Calibration of time domain reflectometry for water content measurement using a composite dielectric approach. Water Resources Research 1990, 26(10):2267-2273.
    • (1990) Water Resources Research , vol.26 , Issue.10 , pp. 2267-2273
    • Roth, K.R.1    Schulin, R.2    Flühler, H.3    Attinger, W.4
  • 27
    • 28244473669 scopus 로고    scopus 로고
    • A hybrid regularized inversion methodology for highly parameterized models
    • Tonkin M., Doherty J. A hybrid regularized inversion methodology for highly parameterized models. Water Resources Research 2005, 41:W10412. 10.1029/2005WR003995.
    • (2005) Water Resources Research , vol.41
    • Tonkin, M.1    Doherty, J.2
  • 28
    • 0019057216 scopus 로고
    • A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
    • van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Journal of the American Soil Sciences Society 1980, 44:892-898.
    • (1980) Journal of the American Soil Sciences Society , vol.44 , pp. 892-898
    • van Genuchten, M.T.1
  • 29
    • 67149144879 scopus 로고    scopus 로고
    • Self-adaptive multimethod search for global optimization in real-parameter spaces
    • Vrugt J., Robinson B.A., Hyman J.M. Self-adaptive multimethod search for global optimization in real-parameter spaces. IEEE Transactions on Evolutionary Computation 2009, 13(2):234-259.
    • (2009) IEEE Transactions on Evolutionary Computation , vol.13 , Issue.2 , pp. 234-259
    • Vrugt, J.1    Robinson, B.A.2    Hyman, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.