Automatic model calibration applying global optimization techniques

This paper summarizes a study aimed at the application of global optimization techniques for the purpose of quantitative characterization of the Wolfville formation located in Nova Scotia, Canada. Aquifer parameters (transmissivity, storativity, areal recharge and boundary flux) are calibrated in order to yield the best possible match with the available field observations. The calibration is accomplished using a global approach to the inverse procedure in “black box” systems optimization which makes possible the simultaneous fitting of several tens of parameters. This study indicates that, even for a limited number of optimized parameters, a global search procedure should be considered. Numerical results are presented and discussed to show the validity of the approach.

[1]  J. C. Ramírez,et al.  Estimation of aquifer parameters under transient and steady-state conditions , 1984 .

[2]  R. Horst,et al.  Global Optimization: Deterministic Approaches , 1992 .

[3]  Aimo A. Törn,et al.  Global Optimization , 1999, Science.

[4]  S. P. Neuman,et al.  A statistical approach to the inverse problem of aquifer hydrology: 1. Theory , 1979 .

[5]  S. P. Neuman,et al.  A statistical approach to the inverse problem of aquifer hydrology: 2. Case study , 1980 .

[6]  William W.-G. Yeh,et al.  A Proposed Geological Parameterization Method for Parameter Identification in Three‐Dimensional Groundwater Modeling , 1995 .

[7]  János Pintér Lipschitzian global optimization: some prospective applications , 1992 .

[8]  F. Chang,et al.  Systematic parameter estimation of watershed acidification model , 1992 .

[9]  P. Pardalos,et al.  Handbook of global optimization , 1995 .

[10]  C. M. Reeves,et al.  Function minimization by conjugate gradients , 1964, Comput. J..

[11]  János Pintér Globally optimized calibration of environmental models , 1990 .

[12]  Nestor Distefano,et al.  An identification approach to subsurface hydrological systems , 1975 .

[13]  W. Yeh Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem , 1986 .

[14]  János D. Pintér,et al.  Convergence qualification of adaptive partition algorithms in global optimization , 1992, Math. Program..

[15]  János Pintér,et al.  Environmental model calibration under different specifications: an application to the model SED , 1993 .

[16]  János D. Pintér,et al.  Global optimization in action , 1995 .

[17]  R. Brent Table errata: Algorithms for minimization without derivatives (Prentice-Hall, Englewood Cliffs, N. J., 1973) , 1975 .