Analytic elements method and particle swarm optimization based simulation–optimization model for groundwater management

This paper presents the application of the Analytic Element Method (AEM) and particle swarm optimization (PSO) based simulation–optimization model for the solution of groundwater management problems. The AEM-PSO model developed was applied to the Dore river basin, France to solve two groundwater hydraulic management problems: (1) maximum pumping from an aquifer, (2) minimum cost to develop the new pumping well system. Discharge as well as location of the pumping wells were taken as the decision variables. The influence of the piping length was examined in the total development cost for new wells. The optimal number of wells was also calculated by applying the model to different sets of wells. The constraints of the problem were identified with the help of water authority, stakeholders and officials. The AEM flow model was developed to facilitate the management model in particular, as in each iteration optimization model calls a simulation model to calculate the values of groundwater heads. The AEM-PSO model was found to be efficient in identifying the optimal location and discharge of the pumping wells. The penalty function approach was found to be valuable in PSO and also acceptable for groundwater hydraulic management problems.

[1]  Aristotelis Mantoglou,et al.  Management of coastal aquifers based on nonlinear optimization and evolutionary algorithms , 2004 .

[2]  P. Gill,et al.  Aquifer Reclamation Design: The Use of Contaminant Transport Simulation Combined With Nonlinear Programing , 1984 .

[3]  Miguel A. Mariño,et al.  Optimal Design and Operation of Irrigation Pumping Stations , 2003 .

[4]  S. Ranjithan,et al.  Using genetic algorithms to solve a multiple objective groundwater pollution containment problem , 1994 .

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

[6]  Virginia M. Johnson,et al.  Location Analysis in Ground‐Water Remediation Using Neural Networks , 1995 .

[7]  John M. Mulvey,et al.  Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory: 1. Model development , 1988 .

[8]  Robert A. Marryott,et al.  Optimal Groundwater Management: 1. Simulated Annealing , 1991 .

[9]  Chunmiao Zheng,et al.  A Field Demonstration of the Simulation Optimization Approach for Remediation System Design , 2002, Ground water.

[10]  Kevin E Lansey,et al.  Determining pump operations using particle swarm optimization , 2000 .

[11]  Otto D Strack,et al.  Groundwater mechanics , 1989 .

[12]  A. Mantoglou.  Pumping management of coastal aquifers using analytical models of saltwater intrusion , 2003 .

[13]  F. Molz,et al.  Head gradient control in aquifers used for fluid storage , 1977 .

[14]  Q. J. Wang.  The Genetic Algorithm and Its Application to Calibrating Conceptual Rainfall-Runoff Models , 1991 .

[15]  K. L. Katsifarakis,et al.  Combining genetic algorithms and boundary elements to optimize coastal aquifers' management , 2006 .

[16]  Liang-Cheng Chang,et al.  Dynamic Optimal Groundwater Management with Inclusion of Fixed Costs , 2002 .

[17]  Prabhata K. Swamee,et al.  Decomposition of Large Water Distribution Systems , 1990 .

[18]  Roko Andričević,et al.  A Real‐Time Approach to Management and Monitoring of Groundwater Hydraulics , 1990 .

[19]  U. Shamir,et al.  Optimal Annual Operation of a Coastal Aquifer , 1984 .

[20]  M. Tamer Ayvaz,et al.  Application of Harmony Search algorithm to the solution of groundwater management models , 2009 .

[21]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[22]  Prabhata K. Swamee,et al.  Cost Considerations and General Principles in the Optimal Design of Water Distribution Systems , 2008 .

[23]  R. Willis,et al.  Groundwater Systems Planning and Management , 1987 .

[24]  Robert Willis,et al.  Quasi-Three-Dimensional Optimization Model of Jakarta Basin , 1992 .

[25]  Larry W. Mays,et al.  Optimal Management of Large‐Scale Aquifers: Methodology and Applications , 1986 .

[26]  Bassem Jarboui,et al.  A combinatorial particle swarm optimization for solving multi-mode resource-constrained project scheduling problems , 2008, Appl. Math. Comput..

[27]  C. Shoemaker,et al.  Dynamic optimal control for groundwater remediation with flexible management periods , 1992 .

[28]  David P. Ahlfeld,et al.  Optimal management of flow in groundwater systems , 2000 .

[29]  R. Quentin Grafton,et al.  Water Resources Planning and Management: Urban water supply and management , 2011 .

[30]  David E. Dougherty,et al.  Optimal groundwater management: 2. Application of simulated annealing to a field-scale contamination site , 1993 .

[31]  J. Eheart,et al.  Using Genetic Algorithms to Solve a Multiobjective Groundwater Monitoring Problem , 1995 .

[32]  Prabhata K. Swamee.  DESIGN OF MULTISTAGE PUMPING MAIN , 1996 .

[33]  G H Huang,et al.  Simulation and optimization technologies for petroleum waste management and remediation process control. , 2009, Journal of environmental management.

[34]  R. Willis.  A planning model for the management of groundwater quality , 1979 .

[35]  James R. Craig,et al.  Pump-and-treat optimization using analytic element method flow models , 2006 .

[36]  Robert Willis,et al.  Planning Model for Optimal Control of Saltwater Intrusion , 1988 .

[37]  C. Zheng,et al.  GROUND WATER MANAGEMENT OPTIMIZATION USING GENETIC ALGORITHMS AND SIMULATED ANNEALING: FORMULATION AND COMPARISON 1 , 1998 .

[38]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[39]  Steven M. Gorelick,et al.  Design and Cost Analysis of Rapid Aquifer Restoration Systems Using Flow Simulation and Quadratic Programming , 1986 .

[40]  A. Mantoglou,et al.  Optimal design of pumping networks in coastal aquifers using sharp interface models , 2008 .

[41]  William W.-G. Yeh,et al.  MANAGEMENT MODEL FOR CONJUNCTIVE USE OF COASTAL SURFACE WATER AND GROUND WATER , 1998 .

[42]  Manoutchehr Heidari,et al.  Applications of Optimal Hydraulic Control to Ground-Water Systems , 1994 .

[43]  A. Mayer,et al.  Pump‐and‐treat optimization using well locations and pumping rates as decision variables , 1997 .

[44]  D. Tarboton,et al.  A sediment transport model for incision of gullies on steep topography , 2003 .

[45]  Alan J. Rabideau,et al.  A new algorithm for analytic element modeling of large-scale groundwater flow , 2007 .

[46]  R. Cottle,et al.  Management model of a groundwater system with a transient pollutant source , 1979 .

[47]  John M. Mulvey,et al.  Designing optimal strategies for contaminated groundwater remediation , 1986 .

[48]  S. Gorelick.  A review of distributed parameter groundwater management modeling methods , 1983 .

[49]  Sang-Il Lee,et al.  Optimal Estimation and Scheduling in Aquifer Remediation With Incomplete Information , 1991 .

[50]  D. McKinney,et al.  Genetic algorithm solution of groundwater management models , 1994 .

[51]  David P. Ahlfeld,et al.  GWM-a ground-water management process for the U.S. Geological Survey modular ground-water model (MODFLOW-2000) , 2005 .