Efficient Groundwater Remediation System Design Subject to Uncertainty Using Robust Optimization
Publication: Journal of Water Resources Planning and Management
Volume 133, Issue 3
Abstract
Many groundwater remediation designs for contaminant plume containment are developed using mathematically based groundwater flow models. These mathematical models are most effective as predictive tools when the parameters that govern groundwater flow are known with a high degree of certainty. The hydraulic conductivity of an aquifer, however, is uncertain, and so remediation designs developed using models employing one realization of the hydraulic conductivity field have an associated risk of failure of plume containment. To account for model uncertainty attributable to hydraulic conductivity in determining an optimal groundwater remediation design for plume containment, a method of optimization called robust optimization is utilized. This method of optimization is a multiscenario approach whereby multiple hydraulic conductivity fields are examined simultaneously. By examining these fields simultaneously, the variability of the uncertainty is included in the model. To increase the efficiency of the robust optimization approach, a sampling technique is developed that allows the modeler to determine the minimum number of field realizations necessary to achieve a reliable remediation design.
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Acknowledgments
This work was made possible through funding by the U.S. Department of Energy, Contract No. DOEDE-FG07-97ER62525.
References
Ahlfeld, D. P., Mulvey, J., and Pinder, G. F. (1988). “Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory: 2: Analysis of a field site.” Water Resour. Res., 24(3), 443–452.
Bennion, D. W., and Griffiths, J. C. (1965). “A stochastic model for predicting variations in reservoir rock properties.” Society of Petroleum Engineers Annual Fall Meeting, Denver.
Csallany, S., and Walton, W. C. (1963). “Yields of shallow dolomite wells in northern Illinois.” Rep. of Investigation 46, Illinois State Survey.
Deutsch, C. V., and Journel, A. G. (1998). GSLIB: Geostatistical software library, Oxford University Press, New York.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice-Hall, Englewood Cliffs, N.J.
Gelhar, L. W. (1993). Stochastic subsurface hydrology, Prentice-Hall, Englewood Cliffs, N.J.
Ghanem, R., and Spanos, P. (1991). Stochastic finite elements: A spectral approach, Springer, Berlin (reissued by Dover, New York, 2003).
Gorelick, S. M. (1983). “A review of distributed parameter groundwater management modeling methods.” Water Resour. Res., 19(2), 305–319.
Gorelick, S. M. (1989). “Reliable remediation of contaminated aquifers.” United States Geological Survey yearbook, USGS, Reston, Va.
Guan, J., and Aral, M. M. (1999). “Optimal remediation with well locations and pumping rates selected as continuous decision variables.” J. Hydrol., 221(1), 20–42.
Hamed, M. M., Bedient, P. B., and Conte, J. P. (1996). “Numerical stochastic analysis of groundwater contaminant transport and plume containment.” J. Contam. Hydrol., 24(1), 1–24.
Hilton, A. B., Chanand Culver, T. B. (2005). “Groundwater remediation design under uncertainty using genetic algorithms.” J. Water Resour. Plann. Manage., 131(1), 25–34.
Johnson, N. L., Kotz, S., and Balakrishnan, N. (1994). Continuous univariate distributions, Wiley, New York.
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.
Karatzas, G. P., and Pinder, G. F. (1997). “Groundwater contamination problems.” Water Pollution IV: Modeling, Measuring, and Prediction—Int. Conf. on Water Pollution: Modelling, Measurement, and Prediction, 231–237.
Konikow, L. F., and Mercer, J. W. (1988). “Groundwater flow and transport modeling.” J. Hydrol., 100(3), 379–409.
Law, J. (1944). “A statistical approach to the interstitial heterogeneity of sand reservoirs.” Americal Institute of Mining, Metallurgical, and Petroleum Engineers, Technical Publication No. 7(3), 202–221.
Mulvey, J. M., Vanderbei, R. J., and Zenios, S. A. (1995). “Robust optimization of large-scale systems.” Oper. Res., 43(2), 264–281.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1992). Numerical recipes in Fortran 77: The art of scientific computing, Cambridge University Press, New York.
Ricciardi, K. L., Pinder, G. F., and Belitz, K. (2005). “Comparison of the lognormal and beta-distribution functions to describe the uncertainty in permeability.” J. Hydrol., 313(3–4), 248–256.
Sawyer, C. S., and Lin, Y. (1998). “Mixed-integer chance-constrained models for ground-water remediation.” J. Water Resour. Plann. Manage., 124(5), 285–294.
Tung, Y. K. (1986). “Groundwater management by a chance-constrained model.” J. Water Resour. Plann. Manage., 112(1), 1–19.
Wagner, B. J. (1999). “Evaluating data worth for groundwater management under uncertainty.” J. Water Resour. Plann. Manage., 125(5), 281–288.
Wagner, B. J., and Gorelick, S. M. (1987). “Optimal groundwater quality management under parameter uncertainty.” Water Resour. Res., 23(7), 1162–1174.
Wagner, J. M., Shamir, U., and Nemati, H. R. (1992). “Groundwater quality management under uncertainty: Stochastic programming approaches and the value of information.” Water Resour. Res., 28(5), 1233–1246.
Wang, T. A., and McTernan, W. F. (2002). “The development and application of a multilevel decision analysis model for the remediation of contaminated groundwater under uncertainty,” J. Environ. Manage., 64(3), 221–235.
Watkins, D. W., and McKinney, D. C. (1995). “Robust optimization for groundwater quality management under uncertainty.” Proc., Specialty Conf. on Water Resource Planning and Management, ASCE, New York, 879–882.
Watkins, D. W., and McKinney, D. C. (1997). “Finding robust solutions to water resources problems.” J. Water Resour. Plann. Manage., 123(1), 49–58.
Yenigul, N. B., Elfeki, A. M. M., Gehrels, J. C., van den Akker, C., Hensbergen, A. T., and Dekking, F. M. (2006), “Reliability assessment of groundwater monitoring networks at landfill sites.” J. Hydrol. (in press).
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© 2007 ASCE.
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Received: Mar 25, 2005
Accepted: Apr 19, 2006
Published online: May 1, 2007
Published in print: May 2007
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