A hybrid simulation–optimization approach for solving the areal groundwater pollution source identification problems

Summary In this study, a new simulation–optimization approach is proposed for solving the areal groundwater pollution source identification problems which is an ill-posed inverse problem. In the simulation part of the proposed approach, groundwater flow and pollution transport processes are simulated by modeling the given aquifer system on MODFLOW and MT3DMS models. The developed simulation model is then integrated to a newly proposed hybrid optimization model where a binary genetic algorithm and a generalized reduced gradient method are mutually used. This is a novel approach and it is employed for the first time in the areal pollution source identification problems. The objective of the proposed hybrid optimization approach is to simultaneously identify the spatial distributions and input concentrations of the unknown areal groundwater pollution sources by using the limited number of pollution concentration time series at the monitoring well locations. The applicability of the proposed simulation–optimization approach is evaluated on a hypothetical aquifer model for different pollution source distributions. Furthermore, model performance is evaluated for measurement error conditions, different genetic algorithm parameter combinations, different numbers and locations of the monitoring wells, and different heterogeneous hydraulic conductivity fields. Identified results indicated that the proposed simulation–optimization approach may be an effective way to solve the areal groundwater pollution source identification problems.

[1]  Bithin Datta,et al.  Optimal Identification of Ground-Water Pollution Sources and Parameter Estimation , 2001 .

[2]  B. Datta,et al.  Identification of groundwater pollution sources using GA-based linked simulation optimization model , 2006 .

[3]  Leon S. Lasdon,et al.  Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming , 1978, TOMS.

[4]  Om Prakash,et al.  Characterization of Groundwater Pollution Sources with Unknown Release Time History , 2014 .

[5]  Paul P. Wang,et al.  MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion, and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's Guide , 1999 .

[6]  Bithin Datta,et al.  Three-Dimensional Groundwater Contamination Source Identification Using Adaptive Simulated Annealing , 2013 .

[7]  W. Jury,et al.  Deconvolution of a nonparametric transfer function for solute transport in soils , 1998 .

[8]  Ranji S. Ranjithan,et al.  A parallel evolutionary strategy based simulation–optimization approach for solving groundwater source identification problems , 2009 .

[9]  Hamid R. Ghafouri,et al.  OPTIMAL IDENTIFICATION OF GROUND-WATER POLLUTION SOURCES , 2007 .

[10]  Mohamed Sayeed,et al.  Reconstructing Groundwater Source Release Histories Using Hybrid Optimization Approaches , 2006 .

[11]  Ying Zhao,et al.  Surrogate Model-Based Simulation-Optimization Approach for Groundwater Source Identification Problems , 2015 .

[12]  Bithin Datta,et al.  Identification of unknown groundwater pollution sources using classical optimization with linked simulation , 2011 .

[13]  Howard H. Chang,et al.  Minimum energy as the general form of critical flow and maximum flow efficiency and for explaining variations in river channel pattern , 2004 .

[14]  R. Naidu,et al.  Optimal Identification of Groundwater Pollution Sources Using Feedback Monitoring Information: A Case Study , 2012 .

[15]  Alexander Y. Sun,et al.  A robust geostatistical approach to contaminant source identification , 2007 .

[16]  G. Mahinthakumar,et al.  Enhanced Simulation-Optimization Approach Using Surrogate Modeling for Solving Inverse Problems , 2012 .

[17]  Manish Jha,et al.  Application of dedicated monitoring: network design for unknown pollutant-source identification based on dynamic time warping , 2015 .

[18]  Bithin Datta,et al.  Optimal Dynamic Monitoring Network Design and Identification of Unknown Groundwater Pollution Sources , 2009 .

[19]  Lei Chen,et al.  An auto-adaptive optimization approach for targeting nonpoint source pollution control practices , 2015, Scientific Reports.

[20]  Alexander Y Sun,et al.  A robust approach for iterative contaminant source location and release history recovery. , 2006, Journal of contaminant hydrology.

[21]  Pei Wang,et al.  An almost-parameter-free harmony search algorithm for groundwater pollution source identification. , 2013, Water science and technology : a journal of the International Association on Water Pollution Research.

[22]  M Tamer Ayvaz,et al.  A linked simulation-optimization model for solving the unknown groundwater pollution source identification problems. , 2010, Journal of contaminant hydrology.

[23]  Hund-Der Yeh,et al.  Applying Hybrid Heuristic Approach to Identify Contaminant Source Information in Transient Groundwater Flow Systems , 2014 .

[25]  P. Kitanidis,et al.  A geostatistical approach to contaminant source identification , 1997 .

[26]  T. Skaggs,et al.  Comment on “Minimum relative entropy inversion: Theory and application to recovering the release history of a groundwater contaminant” by Allan D. Woodbury and Tadeusz J. Ulrych , 1998 .

[27]  Bithin Datta,et al.  Multiobjective Monitoring Network Design for Efficient Identification of Unknown Groundwater Pollution Sources Incorporating Genetic Programming-Based Monitoring , 2014 .

[28]  Om Prakash,et al.  Sequential optimal monitoring network design and iterative spatial estimation of pollutant concentration for identification of unknown groundwater pollution source locations , 2013, Environmental Monitoring and Assessment.

[29]  Om Prakash,et al.  Optimal Unknown Pollution Source Characterization in a Contaminated Groundwater Aquifer—Evaluation of a Developed Dedicated Software Tool , 2014 .

[30]  Bithin Datta,et al.  Simultaneous identification of unknown groundwater pollution sources and estimation of aquifer parameters , 2009 .

[31]  Hund-Der Yeh,et al.  Groundwater contaminant source identification by a hybrid heuristic approach , 2007 .

[32]  S. V. N. Rao,et al.  A Computationally Efficient Technique for Source Identification Problems in Three-Dimensional Aquifer Systems Using Neural Networks and Simulated Annealing , 2006 .

[33]  A. Bagtzoglou,et al.  State of the Art Report on Mathematical Methods for Groundwater Pollution Source Identification , 2001 .

[34]  Manish Jha,et al.  Linked Simulation-Optimization based Dedicated Monitoring Network Design for Unknown Pollutant Source Identification using Dynamic Time Warping Distance , 2014, Water Resources Management.

[35]  S. P. Neuman,et al.  Three‐dimensional steady state flow to a well in a randomly heterogeneous bounded aquifer , 2003 .

[36]  J. Bear Hydraulics of Groundwater , 1979 .

[37]  T. Keatinge Influence of stemflow on the representation of pollen of tilia in soils , 1982 .

[38]  Amvrossios C. Bagtzoglou,et al.  Pollution source identification in heterogeneous porous media , 2001 .

[39]  Bithin Datta,et al.  Identification of Pollution Sources in Transient Groundwater Systems , 2000 .

[40]  Arlen W. Harbaugh,et al.  MODFLOW-2000, The U.S. Geological Survey Modular Ground-Water Model - User Guide to Modularization Concepts and the Ground-Water Flow Process , 2000 .

[41]  I. Butera,et al.  A geostatistical approach to recover the release history of groundwater pollutants , 2003 .

[42]  T. Ulrych,et al.  Minimum Relative Entropy Inversion: Theory and Application to Recovering the Release History of a Groundwater Contaminant , 1996 .

[43]  N. Sun Inverse problems in groundwater modeling , 1994 .

[44]  Z. J. Kabala,et al.  Recovering the release history of a groundwater contaminant using a non-linear least-squares method. , 2000 .

[45]  A. Sun,et al.  A constrained robust least squares approach for contaminant release history identification , 2006 .

[46]  Daniel M. Tartakovsky,et al.  Type curve interpretation of late‐time pumping test data in randomly heterogeneous aquifers , 2007 .

[47]  Mustafa M. Aral,et al.  Identification of Contaminant Source Location and Release History in Aquifers , 2001 .

[48]  G. Mahinthakumar,et al.  A Monitoring Network Design Procedure for Three-Dimensional (3D) Groundwater Contaminant Source Identification , 2014 .

[49]  Amvrossios C. Bagtzoglou,et al.  Marching‐jury backward beam equation and quasi‐reversibility methods for hydrologic inversion: Application to contaminant plume spatial distribution recovery , 2003 .

[50]  Paola Annoni,et al.  Sixth International Conference on Sensitivity Analysis of Model Output How to avoid a perfunctory sensitivity analysis , 2010 .

[51]  Thomas C. Harmon,et al.  Inverse modeling for locating dense nonaqueous pools in groundwater under steady flow conditions , 2000 .

[52]  Leon S. Lasdon,et al.  Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Optimization , 1975 .

[53]  S. Gorelick,et al.  Identifying sources of groundwater pollution: An optimization approach , 1983 .

[54]  X. Q. Wang,et al.  Determining magnitude of groundwater pollution sources by data compatibility analysis , 2006 .

[55]  Siow-Yong Lim,et al.  Reply to comment by M. Bayani Cardenas and John L. Wilson on “Flow resistance and bed form geometry in a wide alluvial channel” , 2006 .

[56]  H. Yeh,et al.  Reconstructing the release history of a groundwater contaminant based on AT123D , 2016 .

[57]  T. Skaggs,et al.  Recovering the release history of a groundwater contaminant , 1994 .

[58]  Cheng-Hung Huang,et al.  Groundwater contaminant boundary input flux estimation in a two-dimensional aquifer , 2010 .

[59]  George F. Pinder,et al.  Optimal Search Strategy for the Definition of a DNAPL Source , 2003 .

[60]  Brian Borchers,et al.  Comparison of inverse methods for reconstructing the release history of a groundwater contamination source , 2000 .

[61]  Bithin Datta,et al.  Identification of Contaminant Source Characteristics and Monitoring Network Design in Groundwater Aquifers: An Overview , 2013 .

[62]  Kirk Hatfield,et al.  A hybrid method for inverse characterization of subsurface contaminant flux. , 2005, Journal of contaminant hydrology.

[63]  Reza Kerachian,et al.  Characterizing an unknown pollution source in groundwater resources systems using PSVM and PNN , 2010, Expert Syst. Appl..

[64]  Mustafa M. Aral,et al.  Genetic Algorithms in Search of Groundwater Pollution Sources , 1996 .

[65]  Manish Jha,et al.  Simulated annealing based simulation-optimization approach for identification of unknown contaminant sources in groundwater aquifers , 2011 .

[66]  Halil Karahan,et al.  Solving inverse problems of groundwater-pollution-source identification using a differential evolution algorithm , 2015, Hydrogeology Journal.

[67]  Bithin Datta,et al.  Identification of pollutant source characteristics under uncertainty in contaminated water resources systems using adaptive Simulated Anealing and fuzzy logic , 2014 .

[68]  P. Kitanidis,et al.  Estimation of historical groundwater contaminant distribution using the adjoint state method applied to geostatistical inverse modeling , 2004 .

[69]  B. Datta,et al.  Application of Unknown Groundwater Pollution Source Release History Estimation Methodology to Distributed Sources Incorporating Surface-Groundwater Interactions , 2015 .

[70]  G. Mahinthakumar,et al.  Hybrid Genetic Algorithm—Local Search Methods for Solving Groundwater Source Identification Inverse Problems , 2005 .

[71]  Bithin Datta,et al.  Application of optimisation techniques in groundwater quantity and quality management , 2001 .

[72]  Amvrossios C. Bagtzoglou,et al.  Mathematical Methods for Hydrologic Inversion: The Case of Pollution Source Identification , 2005 .

[73]  Patrick M. Reed,et al.  Many‐objective groundwater monitoring network design using bias‐aware ensemble Kalman filtering, evolutionary optimization, and visual analytics , 2011 .

[74]  A. Zanini,et al.  Contaminant source and release history identification in groundwater: a multi-step approach. , 2014, Journal of contaminant hydrology.