Optimal planning of a dynamic pump-treat-inject groundwater remediation system

This study integrates the genetic algorithm (GA) and constrained differential dynamic programming (CDDP) to design the pump-treat-inject system. The proposed model considers both the cost of installing wells (fixed cost) and the operating cost of pumping, injection and water treatment. To minimize the total cost while meeting the water quality constraints, the model can compute the optimal number and locations of wells, as well as the associated optimal pumping and injection schemes. Various numerical cases reveal that the requirement to balance the total volume between pumping and injection can significantly influence the final optimal design.

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

[2]  R. M. Cohen.  Methods for monitoring pump-and-treat performance , 1994 .

[3]  Liang-Cheng Chang,et al.  Dynamic optimal ground water remediation including fixed and operation costs. , 2002, Ground water.

[4]  T. Culver,et al.  Constraint Handling for Genetic Algorithms in Optimal Remediation Design , 2000 .

[5]  C. Zheng,et al.  An integrated global and local optimization approach for remediation system design , 1999 .

[6]  C. Shoemaker,et al.  DYNAMIC OPTIMAL CONTROL OF IN-SITU BIOREMEDIATION OF GROUND WATER , 1998 .

[7]  Yunwei Sun,et al.  Optimization of pump-treat-inject (PTI) design for the remediation of a contaminated aquifer: multi-stage design with chance constraints , 1998 .

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

[9]  Teresa B. Culver,et al.  Dynamic Optimal Ground Water Remediation by Granular Activated Carbon , 1998 .

[10]  Chang Liang-Cheng,et al.  OPTIMIZATION OF FIXED AND OPERATING COSTS OF WELLS FOR GROUNDWATER REMEDIATION USING OPTIMAL CONTROL AND GENETIC ALGORITHMS , 2001 .

[11]  Christine A. Shoemaker,et al.  Utilizing Sparsity in Time-Varying Optimal Control of Aquifer Cleanup , 1998 .

[12]  R. Peralta,et al.  Comparison of a genetic algorithm and mathematical programming to the design of groundwater cleanup systems , 1999 .

[13]  J. C. Wang,et al.  Analysis of the remediation of a contaminated aquifer by a multi-well system , 1998 .

[14]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[15]  C. Shoemaker,et al.  Optimal remediation of unconfined aquifers: Numerical applications and derivative calculations , 1999 .

[16]  Jeffrey A Cunningham,et al.  Injection‐Extraction Treatment Well Pairs: An Alternative to Permeable Reactive Barriers , 2002, Ground water.

[17]  Miguel A. Mariño,et al.  Optimal Control of Ground‐Water Quality Management: Nonlinear Programming Approach , 1994 .

[18]  Christine A. Shoemaker,et al.  OPTIMAL CONTROL FOR GROUNDWATER REMEDIATION BY DIFFERENTIAL DYNAMIC PROGRAMMING WITH QUASI-NEWTON APPROXIMATIONS , 1993 .

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

[20]  J. Guan,et al.  Optimal remediation with well locations and pumping rates selected as continuous decision variables , 1999 .

[21]  C. Shoemaker,et al.  Optimal time-varying pumping rates for groundwater remediation: Application of a constrained optimal control algorithm , 1992 .

[22]  D. McKinney,et al.  Approximate Mixed‐Integer Nonlinear Programming Methods for Optimal Aquifer Remediation Design , 1995 .

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

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