Alternative Formulations for Optimal Ground-Water Remediation Design

This paper presents alternative formulations of optimal pumping design for contaminated ground-water cleanup. Remediation-efficiency indicators are proposed for evaluating well performances in terms of contaminant removal. For a selected remediation period, the alternative objective functions are: (1) Total volume of the extracted and/or injected water; (2) total contaminant removal; (3) total residual contaminant; and (4) any weighted combination of the first and second or first and third items. With the introduction of a field variable, referred to as the temporal accumulative contaminant concentration, the contaminant removal by any remediation well is computed directly by solving a temporal-integrated contaminant transport equation. Ground-water-quality constraints can be placed on the residual average and/or maximum concentrations in selected aquifer zones and the concentrations at specified locations. The state sensitivities to the injection and extraction components of the pumping rates are compute...

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

[2]  S. Gorelick,et al.  Reliable aquifer remediation in the presence of spatially variable hydraulic conductivity: From data to design , 1989 .

[3]  Steven M. Gorelick,et al.  Large scale nonlinear deterministic and stochastic optimization: Formulations involving simulation of subsurface contamination , 1990, Math. Program..

[4]  David P. Ahlfeld,et al.  Two‐Stage Ground‐Water Remediation Design , 1990 .

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

[6]  C. Tiedeman,et al.  Analysis of uncertainty in optimal groundwater contaminant capture design , 1993 .

[7]  Hamid R. Nemati,et al.  Groundwater quality management under uncertainty: stochastic programming approaches and the value of information , 1992 .

[8]  Anthony N. Michel,et al.  Design of optimal pump-and-treat strategies for contaminated groundwater remediation using the simulated annealing algorithm , 1992 .

[9]  S. Gorelick,et al.  Optimal groundwater quality management under parameter uncertainty , 1987 .

[10]  Steven M. Gorelick,et al.  Particle travel times of contaminants incorporated into a planning model for groundwater plume capture , 1989 .

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

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

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

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