Optimization method of identification of groundwater pollution sources based on radial basis function model
XIAO Chuan-ning1,2, LU Wen-xi1,2, ZHAO Ying1,2, GU Wen-long1,2
1. Key Laboratory of Groundwater Resources and Environment, Ministry of Education, Jilin University, Changchun 130021, China;
2. College of Environment and Resources, Jilin University, Changchun 130021, China
In the process of optimization method for identification of groundwater pollution sources, computational load resulted from multiple invocations of the numerical simulation model of groundwater is huge. This paper used a surrogate model based on radical basis function to replace groundwater solute transport model, and the surrogate model was embedded in optimization model as a constraint. The optimization model was solved by a genetic algorithm. The performance of the model was evaluated in a hypothetical example. The mean absolute error of release rate of pollution sources was 1.00g/s and the calculation time was 51minutes, so the error and the time consumption were small. Therefore, the optimization method based on radical basis function model can effectively avoid the huge computational load and obtain more accurate results. It is an effective method for identification of groundwater pollution sources, which can be used to solve the release rate of groundwater pollution sources.
Hazart A, Giovannelli J, Dubost S, et al. Inverse transport problem of estimating point-like source using a Bayesian parametric method with MCMC [J]. Signal Processing, 2014, 96:346-361.
[7]
Atmadja J, Bagtzoglou A C. State of the art report on mathematical methods for groundwater pollution source identification [J]. Environmental Forensics, 2001,(2):205-214.
McKinney D C, Lin M D. Genetic algorithm solution of groundwater management models [J]. Water Resources Research, 1994,6(30):1897-1906.
[10]
Aral M M, Guan J, Maslia M L. Identification of contaminant source location and release history in aquifers [J]. Journal of Hydrological Engineering, 2001,6(3):225-234.
[11]
Ayvaz M T. A linked simulation-optimization model for solving the unknown groundwater pollution source identification problems [J]. Journal of Contaminant Hydrology, 2010,117:46- 59.
Kourakos G, Mantoglou A. Development of a multi-objective optimization algorithm using surrogate models for coastal aquifer management [J]. Journal of Hydrology, 2013,479:13-23.
[16]
Zhao Y, Lu W X, Xiao C N. A Kriging surrogate model coupled in simulation-optimization approach for identifying release history of groundwater sources [J]. Journal of Contaminant Hydrology, 2016,185:51-60.
Zhao Y, Lu W X, An Y K. Surrogate model-based simulation- optimization approach for groundwater source identification problems [J]. Environmental Forensics, 2015,16(3):296-303.
Yan Z Z, Wei C Q, Zheng H, et al. Phononic band structures and stability analysis using radial basis function method with consideration of different interface models [J]. Physica B: Condensed Matter, 2016,489:1-11.