Application of Dual-Response Surface Methodology and Radial Basis Function Artificial Neural Network on Surrogate Model of the Groundwater Flow Numerical Simulation
Yanping Yi1,2, Wenxi Lu1, Defa Hong3, Hongchao Liu2, Lei Zhang2
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1College of Environment and Resources, Jilin University, Changchun 130021, China
2Songliao Institute of Water Environment Science, Songliao River Basin Water Resources Protection Bureau,
Changchun 130021, China
3Changchun Institute of Urban Planning and Design, Changchun 130033, China
Online publish date: 2017-06-22
Publish date: 2017-07-25
Submission date: 2016-12-12
Final revision date: 2017-02-06
Acceptance date: 2017-02-07
Pol. J. Environ. Stud. 2017;26(4):1835–1845
The surrogate model is an effective way to connect the simulation and optimization models in groundwater flow numerical modeling; it could overcome the limitations of embedding and calling simulation models in the optimization model by conventional methods, which greatly reduces the computational load caused by directly calling the simulation model in the solving process of the optimization model. In this paper, the dual-response surface method and radial basis function artificial neural network method were applied to establish the surrogate model of groundwater flow numerical simulation in Jinquan Industrial Park, Inner Mongolia, China. The Latin hypercube sampling method was used to determine random pumping load of the five pumping wells, which were taken as the input data groundwater flow numerical simulation model for calculating 10 observation wells drawdown data sets (output data sets). Based on the input and output data sets, the dual-response surface method and radial basis function artificial neural network method were used to establish the surrogate model of groundwater simulation model, and the validity of surrogate models were comparatively tested. The results showed that both the results of two surrogate models fit well with the results of the simulation model, which indicates that two surrogate models were capable of approaching the groundwater flow numerical simulation model; compared with the dual response surface model, the RBF neural network model had more advantages in terms of sample size requirements, fitting the accuracy of simulation results.