Inverse groundwater modeling with emphasis on model parameterization

作者: George Kourakos , Aristotelis Mantoglou

DOI: 10.1029/2011WR011068

关键词:

摘要: [1] This study develops an inverse method aiming to circumvent the subjective decision regarding model parameterization and complexity in groundwater modeling. The number of parameters is included as a variable along with parameter values. A based on B-spline surfaces (BSS) selected approximate transmissivity, genetic algorithms were perform error minimization. transform linear least squares (LLS) developed, so that different parameterizations may be combined by standard algorithm operators. First, three applications, isotropic, anisotropic, zoned aquifer parameters, are examined single objective optimization problem estimated transmissivity found near true one. Interestingly, anisotropic case, converged solution distribution control points. Next, regularization, penalizing complex models, considered, last, expressed multiobjective framework (MOO), where goals simultaneous minimization calibration complexity. result MOO Pareto set potential solutions user can examine tradeoffs between select most suitable model. By comparing prediction errors, it appears, promising models ones region rate decrease increases drops (bend curve). This useful practical interest real modeling applications.

参考文章(82)
K. Kato, Generation of N-sided surface patches with holes Computer-aided Design. ,vol. 23, pp. 676- 683 ,(1991) , 10.1016/0010-4485(91)90020-W
P. K. Kitanidis, Introduction to geostatistics ,(1997)
Catherine Moore, John Doherty, Role of the calibration process in reducing model predictive error Water Resources Research. ,vol. 41, pp. 1- 14 ,(2005) , 10.1029/2004WR003501
Frank T.-C. Tsai, Ne-Zheng Sun, William W.-G. Yeh, Global-local optimization for parameter structure identification in three-dimensional groundwater modeling Water Resources Research. ,vol. 39, ,(2003) , 10.1029/2001WR001135
Dragos Arotaritei, Mircea G. Negoita, Optimization of Recurrent NN by GA with Variable Length Genotype australian joint conference on artificial intelligence. pp. 681- 692 ,(2002) , 10.1007/3-540-36187-1_60
A N Tikhonov, REGULARIZATION OF INCORRECTLY POSED PROBLEMS SOVIET MATHEMATICS DOKLADY. ,vol. 4, pp. 1624- 1627 ,(1963)
Carter L. Gehman, Dennis L. Harry, William E. Sanford, John D. Stednick, Nathaniel A. Beckman, Estimating specific yield and storage change in an unconfined aquifer using temporal gravity surveys Water Resources Research. ,vol. 45, ,(2009) , 10.1029/2007WR006096
Catherine Moore, Thomas Wöhling, John Doherty, Efficient regularization and uncertainty analysis using a global optimization methodology Water Resources Research. ,vol. 46, ,(2010) , 10.1029/2009WR008627