Data-Driven Modeling of Groundwater Level with Least-Square Support Vector Machine and Spatial–Temporal Analysis

Investigation of groundwater level is considered a prominent research topic for the study of underground hydrologic system. Due to the complexities of underground geological structure, the accuracy of real-time ground water level prediction is limited. In this study, a novel two-phase data-driven framework to model the time-series groundwater level with spatial–temporal analysis and least square support vector machine is proposed. Groundwater data collected from four monitoring sites in the northern region of United Kingdom is utilize in this study. In phase I, the time-series analysis is conducted to study the temporal characteristics of the groundwater. Based on the time-series analysis, least square support vector machine is performed to construct the prediction model to forecast the future groundwater level. In phase-II, the spatial correlation between the water levels in four sites are computed to construct a comprehensive model regarding the interrelation between the monitoring sites. Computational results illustrated the outperformance of least square support vector machine in predicting time-series groundwater levels compared with other state-of-arts machine learning algorithms. It has been demonstrated that the spatial–temporal model may serve as an applicable approach for the future research of groundwater resources.

[1]  Johan A. K. Suykens,et al.  Least squares support vector machine classifiers: a large scale algorithm , 1999 .

[2]  Stephen Baek,et al.  A Deep Learning Framework for Short-term Power Load Forecasting , 2017, ArXiv.

[3]  P. Smart,et al.  Spatial and temporal changes in the structure of groundwater nitrate concentration time series (1935–1999) as demonstrated by autoregressive modelling , 2005 .

[4]  Andrea Castelletti,et al.  Data-driven dynamic emulation modelling for the optimal management of environmental systems , 2012, Environ. Model. Softw..

[5]  Andrew Kusiak,et al.  Predictive model of yaw error in a wind turbine , 2017 .

[6]  R. Govindaraju,et al.  A conceptual model for infiltration in two-layered soils with a more permeable upper layer: From local to field scale , 2011 .

[7]  Kyoung-jae Kim,et al.  Financial time series forecasting using support vector machines , 2003, Neurocomputing.

[8]  Haifeng Wang,et al.  Comparison of SVM and LS-SVM for Regression , 2005, 2005 International Conference on Neural Networks and Brain.

[9]  A. I. McLeod,et al.  DIAGNOSTIC CHECKING ARMA TIME SERIES MODELS USING SQUARED‐RESIDUAL AUTOCORRELATIONS , 1983 .

[10]  Ganesh K. Venayagamoorthy,et al.  Performance of a smart microgrid with battery energy storage system's size and state of charge , 2014, 2014 IEEE Symposium on Computational Intelligence Applications in Smart Grid (CIASG).

[11]  O. Batelaan,et al.  A simple thermal mapping method for seasonal spatial patterns of groundwater–surface water interaction , 2011 .

[12]  Zhuping Sheng,et al.  Trend-outflow method for understanding interactions of surface water with groundwater and atmospheric water for eight reaches of the Upper Rio Grande , 2011 .

[13]  Hamid R. Safavi,et al.  Conjunctive Use of Surface Water and Groundwater: Application of Support Vector Machines (SVMs) and Genetic Algorithms , 2013, Water Resources Management.

[14]  Andrew Kusiak,et al.  Data-driven modeling of truck engine exhaust valve failures: A case study , 2017 .

[15]  X. Pei,et al.  On the initiation and movement mechanisms of a catastrophic landslide triggered by the 2008 Wenchuan (Ms 8.0) earthquake in the epicenter area , 2017, Landslides.

[16]  Kok Seng Chua,et al.  Efficient computations for large least square support vector machine classifiers , 2003, Pattern Recognit. Lett..

[17]  Li-Chiu Chang,et al.  Online multistep-ahead inundation depth forecasts by recurrent NARX networks , 2012 .

[18]  Paulin Coulibaly,et al.  Groundwater level forecasting using artificial neural networks , 2005 .

[19]  Qiang Xu,et al.  Comparison of data-driven models of loess landslide runout distance estimation , 2019, Bulletin of Engineering Geology and the Environment.

[20]  Ratnesh K. Sharma,et al.  Dynamic Energy Management System for a Smart Microgrid , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[21]  Jiahao Deng,et al.  Short-Term Power Load Forecasting with Deep Belief Network and Copula Models , 2017, 2017 9th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC).

[22]  Loon Ching Tang,et al.  Application of neural networks in forecasting engine systems reliability , 2003, Appl. Soft Comput..

[23]  P. Coulibaly,et al.  Two decades of anarchy? Emerging themes and outstanding challenges for neural network river forecasting , 2012 .

[24]  X. Pei,et al.  Effects of geological and tectonic characteristics on the earthquake-triggered Daguangbao landslide, China , 2018, Landslides.

[25]  Andrew Kusiak,et al.  Performance Assessment of Wind Turbines: Data-Derived Quantitative Metrics , 2018, IEEE Transactions on Sustainable Energy.

[26]  Marti A. Hearst Trends & Controversies: Support Vector Machines , 1998, IEEE Intell. Syst..

[27]  Wenbo Wang,et al.  Predicting Manufactured Shapes of a Projection Micro-Stereolithography Process via Convolutional Encoder-Decoder Networks , 2018 .

[28]  Jiahao Deng,et al.  Prediction of landslide displacement with an ensemble-based extreme learning machine and copula models , 2018, Landslides.

[29]  Ramesh Raskar,et al.  Computer vision uncovers predictors of physical urban change , 2017, Proceedings of the National Academy of Sciences.

[30]  K. P. Sudheer,et al.  Using Artificial Neural Network Approach for Simultaneous Forecasting of Weekly Groundwater Levels at Multiple Sites , 2015, Water Resources Management.

[31]  Qiang Xu,et al.  A Revised Formula to Compute Shear Strength of Unsaturated Soils , 2017 .

[32]  Li-Chiu Chang,et al.  Prediction of monthly regional groundwater levels through hybrid soft-computing techniques , 2016 .

[33]  A. Kusiak,et al.  Modeling wind-turbine power curve: A data partitioning and mining approach , 2017 .