Dynamic Optimal Control of In-Situ Bioremediation of Ground Water
Publication: Journal of Water Resources Planning and Management
Volume 124, Issue 3
Abstract
A coupled optimal control and simulation model is presented that selects injection and extraction well sites and pumping rates for cost-effective in-situ bioremediation design. Application of the model to a hypothetical site identified a number of findings that may be useful for improving in-situ bioremediation design: (1) As with pump-and-treat design, time-varying pumping strategies for in-situ bioremediation are significantly less expensive than time-invariant pumping strategies, despite the typically shorter duration of in-situ bioremediation; (2) when expensive oxygen sources are used for oxygen injection, downgradient extraction pumping is used in lieu of extensive injection pumping to pull the oxygen across the contaminant plume; (3) when biodegradation rates are limited by mass transfer, expensive oxygen sources may not be worth the added expense; (4) longer cleanups significantly reduce pumping costs by exploiting natural transport and degradation processes; (5) prespecified potential well locations have a significant effect on model results; and (6) optimal pumping strategies with high levels of contaminant adsorption alternated between higher and lower levels of pumping.
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References
1.
Abdul, A. S., Gibson, T. L., and Rai, D. N.(1987). “Statistical correlations for predicting the partition coefficient for nonpolar organic contaminants between aquifer organic carbon and water.”Haz. Waste and Haz. Mat., 4(3), 211–222.
2.
Ahlfeld, D. P., and Hill, E. H.(1996). “The sensitivity of remedial strategies to design criteria.”Ground Water, 34(2), 341–348.
3.
Ahlfeld, D. P., Mulvey, J. M., and Pinder, G. F.(1986). “Designing optimal strategies for contaminated groundwater remediation.”Adv. Water Resour., 9(2), 77–84.
4.
“Alternatives for ground water cleanup.” (1994). Nat. Academy of Sci., Nat. Academy Press, Washington, D.C.
5.
Andricevic, R., and Kitanidis, P. K.(1990). “Optimization of the pumping schedule in aquifer remediation under uncertainty.”Water Resour. Res., 26(5), 875–885.
6.
Atwood, D., and Gorelick, S.(1985). “Hydraulic gradient control for groundwater contaminant removal.”J. Hydrol., Amsterdam, The Netherlands, 76, 85–106.
7.
Beljin, M. S. (1988). Testing and validation of groundwater models for simulating solute transport in groundwater: code intercomparison and evaluation of validation methodology. GWMI 88-11, Int. Groundwater Modeling Ctr.
8.
Borden, R. C., and Bedient, P. B.(1986). “Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation: 1. Theoretical development.”Water Resour. Res., 22(13), 1973–1982.
9.
Borden, R. C., and Kao, C.-M.(1992). “Evaluation of groundwater extraction for remediation of petroleum-contaminated aquifers.”Water Envir. Res., 64(1), 28–36.
10.
Chang, L.-C., Shoemaker, C. A., and Liu, P. L.-F.(1992). “Optimal time-varying pumping rates for groundwater remediation: application of a constrained optimal control algorithm.”Water Resour. Res., 28(12), 3157–3173.
11.
“Cost of remedial action model user manual.” (1993). Version 3.0, U.S. Environmental Protection Agency, Ofc. of Solid Waste.
12.
Culver, T. B., and Shoemaker, C. A.(1992). “Dynamic optimal control for groundwater remediation with flexible management periods.”Water Resour. Res., 28(3), 629–641.
13.
Culver, T. B., and Shoemaker, C. A.(1993). “Optimal control for groundwater remediation by differential dynamic programming with quasi-Newton approximations.”Water Resour. Res., 29(4), 823–831.
14.
Culver, T. B., and Shoemaker, C. A.(1997). “Dynamic optimal ground-water reclamation with treatment capital costs.”J. Water Resour. Plng. and Mgmt., ASCE, 123(1), 23–29.
15.
Daus, A. D., Frind, E. O., and Sudicky, E. A.(1985). “Comparative error analysis in finite element formulations of the advection-dispersion equation.”Adv. Water Resour., 8, 86–95.
16.
Domenico, P. A., and Schwartz, F. W. (1990). Physical and chemical hydrogeology. John Wiley & Sons, Inc., New York, N.Y.
17.
Dosa, B. (1994). “Testing, evaluation and sensitivity analysis of an in-situ bioremediation model,” MS thesis, Cornell Univ., Ithaca, N.Y.
18.
“Enhancing the microbial degradation of underground gasoline by increasing available oxygen.” (1982). Publication number 4428, Am. Petroleum Inst., Washington, D.C.
19.
Essaid, H. I., Bekins, B. A., Godsy, E. M., Warren, E., Baedecker, M. J., and Cozzarelli, I. M.(1995). “Simulation of aerobic and anaerobic biodegradation processes at a crude oil spill site.”Water Resour. Res., 31(12), 3309–3327.
20.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater. Prentice-Hall, Inc., Englewood Cliffs, N.J.
21.
Gaudy, A. F., Jr., and Gaudy, E. T. (1980). Microbiology for environmental scientists and engineers. McGraw-Hill Inc., New York, N.Y.
22.
Harvey, C. F., Haggerty, R., and Gorelick, S. M.(1994). “Aquifer remediation: a method for estimating mass transfer rate coefficients and an evaluation of pulsed pumping.”Water Resour. Res., 30(7), 1979–1991.
23.
Hinchee, R. E., Downey, D. C., and Aggrarwal, P. K.(1991). “Use of hydrogen peroxide as an oxygen source for in situ biodegradation: part I. field studies.”J. Haz. Mat., 27, 287–299.
24.
Hinchee, R. E., Downey, D. C., and Coleman, E. J. (1987). “Enhanced bioreclamation, soil venting and ground-water extraction: a cost-effectiveness and feasibility comparison.”Proc., Petr. Hydrocarbons and Organic Chemicals in Ground Water—Prevention, Detection, and Restoration: A Conf. and Exposition, Houston, Tex.
25.
Huang, C., and Mayer, A. S.(1997). “Pump-and-treat optimization using well locations and pumping rates as decision variables.”Water Resour. Res., 33(5), 1001–1012.
26.
Huyakorn, P. S. (1985). “Testing and validation of models for simulating solute transport in groundwater: development, evaluation, and comparison of benchmark techniques.”GWMI 84-13, Int. Groundwater Modeling Ctr.
27.
“In situ bioremediation: when does it work?” Nat. Academy of Sci., Nat. Academy Press, Washington, D.C.
28.
Jiang, Z., and Ball, W. P. (1994). “Computer simulation of pulsed pumping for remediation under mass transfer limited conditions.”Critical Issues in Water and Wastewater Treatment, Proc., ASCE Nat. Conf. on Environ. Engrg., Boulder, Colo.
29.
Jones, L. C., Willis, R., and Yeh, W. W.(1987). “Optimal control of nonlinear groundwater hydraulics using differential dynamic programming.”Water Resour. Res., 23(11), 2097–2106.
30.
Karatzas, G. P., and Pinder, G. F.(1993). “Groundwater management using numerical simulation and the outer approximation method for global optimization.”Water Resour. Res., 29(10), 3371–3378.
31.
Karatzas, G. P., and Pinder, G. F.(1996). “The solution of groundwater quality management problems with a nonconvex feasible region using a cutting plane optimization technique.”Water Resour. Res., 32(4), 1091–1100.
32.
Kennedy, J. B., and Neville, A. M. (1986). Basic statistical methods for engineers and scientists. Harper & Row, Publishers, Inc., New York, N.Y.
33.
Latinopoulos, P., Theodosiou, N., Mylopoulos, Y., and Mylopoulos, N.(1994). “A sensitivity analysis and parametric study for the evaluation of the optimal management of a contaminated aquifer.”Water Resour. Mgmt., 8, 11–31.
34.
Lee, S.-I., and Kitanidis, P. K.(1991). “Optimal estimation and scheduling in aquifer remediation with incomplete information.”Water Resour. Res., 27(9), 2203–2217.
35.
Liao, L.-Z., and Shoemaker, C. A. (1990). “Constrained differential partitioning and QR factorization to avoid numerical ill-conditioning of penalty function for constrained nonlinear programming and control.”Proc., IEEE Conf. on Decision and Control, Inst. of Electr. and Electronic Engrg., Honolulu, Hawaii.
36.
Liao, L.-Z., and Shoemaker, C. A.(1991). “Convergence in unconstrained discrete-time differential dynamic programming.”IEEE Trans. on Automatic Control, 36(6), 692–706.
37.
Mabey, W. R., Smith, J. H., Podoll, R. T., Johnson, H. L., Mill, T., Chou, T.-W., Gates, J., Waight Partridge, I., Jaber, H., and Vandenberg, D. (1982). “Aquatic fate process data for organic priority pollutants.”USEPA Rep. 440/4-81-014, U.S. EPA Ofc. of Regulations and Standards (WH-553), Washington, D.C.
38.
MacQuarrie, K. T. B., Sudicky, E. A., and Frind, E. O.(1990). “Simulation of biodegradable organic contaminants in groundwater, 1, Numerical formulation in principal directions.”Water Resour. Res., 26(2), 207–222.
39.
Mayne, D. Q.(1966). “A second-order gradient method for determining optimal trajectories of non-linear discrete-time systems.”Int. J. Contr., 3, 85–95.
40.
McKinney, D. C., and Lin, M.-D.(1994). “Genetic algorithm solution of groundwater management models.”Water Resour. Res., 30(6), 1897–1906.
41.
McKinney, D. C., and Lin, M.-D.(1996). “Pump-and-treat groundwater remediation system optimization.”J. Water Resour. Plng. and Mgmt., ASCE, 122(2), 128–136.
42.
Minsker, B. S. (1995). Dynamic optimal control of in situ bioremediation of groundwater, PhD thesis, School of Civ. and Environ. Engrg., Cornell Univ., Ithaca, N.Y.
43.
Minsker, B. S., and Shoemaker, C. A.(1996). “Differentiating a finite element biodegradation simulation model for optimal control.”Water Resour. Res., 32(1), 187–192.
44.
Minsker, B. S., and Shoemaker, C. A.(1998). “Computational issues for optimal in-situ bioremediation design.”J. Water Resour. Plng. and Mgmt., ASCE, 124(1), 39–46.
45.
Morgan, D. R., Eheart, J. W., and Valocchi, A. J.(1993). “Aquifer remediation design under uncertainty using a new chance constrained programming technique.”Water Resour. Res., 29(3), 551–561.
46.
“RACER: remedial action cost engineering and requirements system user manual.” (1993a). Version 2, U.S. Air Force Envir. Restoration Program.
47.
“RACER: remedial action cost engineering and requirements system user manual.” (1993b). Version 3, U.S. Air Force Envir. Restoration Program.
48.
Rifai, H. S., Bedient, P. B., Wilson, J. T., Miller, K. M., and Armstrong, J. M.(1988). “Biodegradation modeling at aviation fuel spill site.”J. Water Resour. Plng. and Mgmt., ASCE, 114(5), 1007–1029.
49.
Ritzel, B. J., Eheart, J. W., and Ranjithan, S.(1994). “Using genetic algorithms to solve a multiple objective groundwater pollution containment problem.”Water Resour. Res., 30(5), 1589–1603.
50.
Rizzo, D. M., and Dougherty, D. E.(1996). “Design optimization for multiple management period groundwater remediation.”Water Resour. Res., 32(8), 2549–2561.
51.
Sawyer, C. S., Ahlfeld, D. P., and King, A. J.(1995). “Groundwater remediation design using a three-dimensional simulation model and mixed-integer programming.”Water Resour. Res., 31(5), 1373–1385.
52.
Sturman, P. J., Stewart, P. S., Cunningham, A. B., Bouwer, E. J., and Wolfram, J. H.(1995). “Engineering scale-up of in situ bioremediation process: a review.”J. Contaminant Hydro., 19, 171–203.
53.
Taylor, S. W. (1993). “Modeling enhanced in-situ biodegradation in groundwater: Model response to biological parameter uncertainty.”Proc., 1993 Groundwater Modeling Conf., Int. Ground Water Modeling Ctr., Golden, Colo.
54.
Taylor, S. W., and Jaffé, P. R.(1991). “Enhanced in-situ biodegradation and aquifer permeability reduction.”J. of Envir. Engrg., ASCE, 117(1), 25–46.
55.
Tiedeman, C., and Gorelick, S. M.(1993). “Analysis of uncertainty in optimal groundwater contaminant capture design.”Water Resour. Res., 29(7), 2139–2153.
56.
Wagner, B. J., and Gorelick, S. M.(1987). “Optimal groundwater quality management under parameter uncertainty.”Water Resour. Res., 23(7), 1162–1174.
57.
Wang, W., and Ahlfeld, D. P.(1994). “Optimal groundwater remediation with well location as a decision variable: model development.”Water Resour. Res., 30(5), 1605–1618.
58.
Whiffen, G. J. (1995). “Optimal control for deterministic and uncertain groundwater remediation,” PhD thesis, School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, N.Y.
59.
Yakowitz, S., and Rutherford, B.(1984). “Computational aspects of discrete-time optimal control.”Appl. Math. and Computation, 15, 29–45.
Information & Authors
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Published In
Journal of Water Resources Planning and Management
Volume 124 • Issue 3 • May 1998
Pages: 149 - 161
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: May 1, 1998
Published in print: May 1998
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