Optimal remediation of unconfined aquifers: Numerical applications and derivative calculations

Water Resources Research

Volumn 35, Issue 5, 1999, Pages 1455-1469

  Mansfield, Christopher M ^a   Shoemaker, Christine A ^a  

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; FUNCTIONS; GROUNDWATER POLLUTION; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PUBLIC POLICY; REMEDIATION; WATER POLLUTION CONTROL;

GEOPHYSICAL INDEX; OBJECTIVE FUNCTIONS;

AQUIFERS;

AQUIFER POLLUTION; NUMERICAL METHOD; OPTIMIZATION; REMEDIATION; UNCONFINED AQUIFER;

EID: 0032893331     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1998WR900097     Document Type: Article

References (26)

1. Ahlfeld, D. P., Two-stage groundwater remediation design, J. Water Resour. Plann. Manage., 166, 517-529, 1990.
2. Ahlfeld, D. P., J. M. Mulvey, G. F. Pinder, and E. F. Wood, Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory, 1, Model development, Water Resour. Res., 24, 431-441, 1988.
3. Atwood, D. F., and S. M. Gorelick, Hydraulic gradient control for groundwater contaminant removal, J. Hydrol., 70, 85-106, 1985.
4. Chang, L.-C., C. A. Shoemaker, and P. L.-F. Liu, Optimal time-varying pumping rates for groundwater remediation: Application of a constrained optimal control algorithm, Water Resour. Res., 28, 3157-3173, 1992.
5. Colarullo, S. J., M. Heidari, and T. Maddock III, Identification of an optimal groundwater management strategy in a contaminated aquifer, AWRA Water Resour. Bull., 20, 747-760, 1984.
6. Culver, T. B., and C. A. Shoemaker, Dynamic optimal control for groundwater remediation with flexible management periods, Water Resour. Res., 28, 629-641, 1992.
7. Dougherty, D. E., and R. A. Marryott, Optimal groundwater management, 1, Simulated annealing, Water Resour. Res., 27, 2493-2508, 1991.
8. Gorelick, S. M., C. I. Voss, P. E. Gill, W. Murray, M. A. Saunders, and M. H. Wright, Aquifer reclamation design: The use of contaminant transport simulation combined with nonlinear programing, Water Resour. Res., 20, 415-427, 1984.
9. Gorelick, S. M., R. A. Freese, D. Donohue, and J. F. Keely, Groundwater Contamination: Optimal Capture and Containment, Lewis, Boca Raton, Fla., 1993.
10. Huyakorn, P. S., and G. F. Pinder, Computational Methods in Subsurface Flow, Academic, San Diego, Calif., 1983.
11. Jones, L., R. Willis, and W. W.-G. Yeh, Optimal control of nonlinear groundwater hydraulics using differential dynamic programing, Water Resour. Res., 23, 2097-2106, 1987.
12. Mansfield, C. M., C. A. Shoemaker, and L.-Z. Liao, Utilizing sparsity in time varying optimal control of groundwater cleanup, J. Water Resour. Plann. Manage., 124, 15-21, 1998.
13. McKinney, D. C., and M.-D. Lin, Pump and treat groundwater remediation system optimization, J. Water Res. Plann. Manage., 122, 128-136, 1996.
14. Finder, G. F., Galerkin finite element models for aquifer simulation, Rep. 76-WR-5, Dep. of Civ. Eng., Princeton Univ., Princeton, N. J., 1979.
15. Ranjithan, S., J. W. Eheart, and J. H. Garrett Jr., Neural network-based screening for groundwater reclamation under uncertainty, Water Resour. Res., 29, 563-574, 1993.
16. Riefler, R. G., and D. P. Ahlfeld, The impact of numerical precision on the solution of optimization problems in unconfined aquifers using sequential linear programming, Hazard. Waste Hazard. Mater., 13(2), 167-176, 1996.
17. Rizzo, D. M., and D. E. Dougherty, Design optimization for multiple management period groundwater remediation, Water Resour. Res., 32, 2549-2561, 1996.
18. U.S. Environmental Protection Agency, Office of Emergency and Remedial Response, Publ. 9355.4-05A, PB92-963347, Washington, D. C., 1992.
19. Wagner, B. J., Recent advances in simulation-optimization groundwater management modeling, U.S. Natl. Rep. Int. Union Geod. Geophys., 1991-1994, Rev. Geophys., 33, 1021-1028, 1995.
20. Whiffen, G. J., Optimal control for deterministic and uncertain groundwater remediation, Ph.D. thesis, Cornell Univ. School of Civ. and Environ. Eng., Ithaca, N. Y., 1995.
21. Whiffen, G. J., and C. A. Shoemaker, Nonlinear weighted feedback control of groundwater remediation under uncertainty, Water Resour. Res., 29, 3277-3289, 1993.
22. Willis, R., and B. A. Finney, Optimal control of nonlinear groundwater hydraulics: Theoretical development and numerical experiments, Water Resour. Res., 21, 1476-1482, 1985.
23. Yakowitz, S. J., and B. Rutherford, Computational aspects of discrete time optimal control, Appl. Math. Comput., 15, 29-45, 1984.
24. Yeh, G.-T., J.-R. Chang, and J.-P. Gwo, 3DSALT: A three dimensional finite element simulation model of density-dependent flow and transport through saturated and unsaturated media, Instr. Rep. HL-94-1, U.S. Army Corps of Eng. Waterways Exp. Stn., Vicksburg, Miss., 1994.
25. Yeh, W. W.-G., and N.-Z. Sun, Variational sensitivity analysis, data requirements, and parameter identification in a leaky aquifer system, Water Resour. Res., 26, 1927-1938, 1990.
26. Yoon, J.-H., and C. A. Shoemaker, Comparison of optimization methods for groundwater remediation, J. Water Resour. Plann. Manage., 125, 54-63, 1999.