Characterization of Petroleum-Hydrocarbon Fate and Transport in Homogeneous and Heterogeneous Aquifers Using a Generalized Uncertainty Estimation Method
Publication: Journal of Environmental Engineering
Volume 137, Issue 1
Abstract
This paper presents a generalized uncertainty estimation method (GUEM) to characterize the fate and transport of petroleum-hydrocarbon contaminants in subsurface environments. Compared to the conventional methods, GUEM employs the Metropolis-Hastings sampling algorithm to replace the conventional Monte Carlo algorithm; this algorithm has the advantage of reducing computational cost in obtaining realizations of uncertain parameters. The GUEM method is applied to a hypothetical homogenous and a real-world heterogonous site for demonstration studies. The first demonstration shows that GUEM generates outputs with wider bounds than conventional uncertainty characterization methods. This avoids overestimation of lower bounds and underestimation of upper bounds of resulting modeling outputs. Results from the second demonstration implied that the groundwater would not be suitable for the drinking water source after three years of natural attenuation and remediation actions should be taken to guarantee the groundwater safety. Even after taking a three-year pump-and-treat remediation action, it would pose risks as one can conclude that the benzene concentrations would violate the regulated environmental guideline with a possibility of over 0.9, and enhanced remediation actions are still desired to be taken for improving the groundwater quality. Despite the advantages in characterizing the fate and transport of contaminants, GUEM could be improved by introducing two correlated random variables in the sampling process for enhancing simulation accuracy. It is also expected to be integrated with traditional methods such as Monte Carlo method and generalized likelihood uncertainty estimation method to deal with hybrid fuzzy-random and interval-random inputs, respectively.
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Acknowledgments
The writers thank the associate editor and anonymous reviewers for their helpful comments and suggestions. This research was supported by the Major State Basic Research Development Program of MOST (Grant Nos. UNSPECIFIED2005CB724200 and UNSPECIFIED2006CB403307), Beijing Municipal Commission of Education, and the Canadian Water Network under the Networks of Centers of Excellence (NCE).
References
Beven, K., and Freer, J. (2001). “Equifinality, data assimilation, and uncertainty estimation in mechanistic modeling of complex environmental systems using the GLUE methodology.” J. Hydrol., 249, 11–29.
Cápiro, N., Stafford, B. P., Rixey, W. G., Bedient, P. B., and Alvarez, P. J. J. (2007). “Fuel-grade ethanol transport and impacts to groundwater in a pilot-scale aquifer tank.” Water Res., 41, 656–664.
Chanas, S., and Nowakowski, M. (1988). “Single value simulation of fuzzy variable.” Fuzzy Sets Syst., 25, 43–57.
De Cock, M. D., Cornelis, C., and Kerre, E. E. (2005). “Elicitation of fuzzy association rules from positive and negative examples.” Fuzzy Sets Syst., 149, 73–85.
Delshad, M., Pope, G. A., and Sepehrnoori, K. (1996). “A compositional simulator for modeling surfactant enhanced aquifer remediation, 1. Formulation.” J. Contam. Hydrol., 23(4), 303–327.
Dou, C., Woldt, W., Bogardi, I., and Dahab, M. (1995). “Steady state groundwater flow simulation with imprecise parameters.” Water Resour. Res., 31(11), 2709–2719.
Dou, C., Woldt, W., Bogardi, I., and Dahab, M. (1997). “Numerical solute transport simulation using fuzzy sets approach.” J. Contam. Hydrol., 27(1–2), 107–126.
Duke, L. D., Rong, Y., and Harmon, T. C. (1998). “Parameter-induced uncertainty in modeling vadose zone transport of VOCs.” J. Environ. Eng., 124(5), 441–448.
Energy and Environment Program (EEP). (2005). “Numerical simulation for contaminant flow and transport in subsurface—A study of soil and groundwater contamination at the Coleville Site.” Process Rep.,Univ. of Regina, Regina, Sask.
Freni, G., Mannina, G., and Viviani, G. (2008). “Uncertainty in urban stormwater quality modelling: The effect of acceptability threshold in the GLUE methodology.” Water Res., 42(8–9), 2061–2072.
Goltz, M., et al. (2005). “Field evaluation of in situ source reduction of trichloroethylene (TCE) in groundwater using bio-enhanced in-well vapor stripping.” Environ. Sci. Technol., 39, 8963–8970.
Hassan, A., Bekhit, H. M., and Chapman, J. B. (2009). “Using Markov chain Monte Carlo to quantify parameter uncertainty and its effect on predictions of a groundwater flow model.” Environ. Modell. Software, 24(6), 749–763.
He, L., Huang, G. H., and Lu, H. W. (2008a). “Health-risk-based groundwater remediation system optimization through clusterwise linear regression.” Environ. Sci. Technol., 42(24), 9237–9243.
He, L., Huang, G. H., and Lu, H. W. (2008b). “A simulation-based fuzzy chance-constrained programming model for optimal groundwater remediation under uncertainty.” Adv. Water Resour., 31(12), 1622–1635.
He, L., Huang, G. H., Zeng, G. M., and Lu, H. W. (2008c). “An integrated simulation, inference, and optimization method for identifying groundwater remediation strategies at petroleum-contaminated aquifers in western Canada.” Water Res., 42, 2629–2639.
Hong, D. H., and Hwang, S. Y. (1995). “Correlation of intuitionistic fuzzy sets in probability spaces.” Fuzzy Sets Syst., 75, 77–81.
Jacquin, A. P., and Shamseldin, A. Y. (2007). “Development of a possibilistic method for the evaluation of predictive uncertainty in rainfall-runoff modeling.” Water Resour. Res., 43, W04425.
Kao, C. M., and Wang, C. C. (2000). “Control of BTEXT migration by intrinsic bioremediation at a gasoline spill site.” Water Res., 34, 3413–3423.
Labieniec, P. A., Dzombak, D. A., and Siegrist, R. L. (1997). “Evaluation of uncertainty in a site-specific risk assessment.” J. Environ. Eng., 123(3), 234–243.
Larsbo, M., and Jarvis, N. (2005). “Simulating solute transport in a saturated field soil.” J. Environ. Qual., 34, 621–634.
Li, J. B. (2003). “Development of an inexact environmental modeling system for the management of petroleum-contaminated sites.” Ph.D. thesis, Faculty of Engineering, Univ. of Regina, Regina, Sask.
Li, J. B., Huang, G. H., Zeng, G. M., Maqsood, I., and Huang, Y. (2007). “An integrated fuzzy-stochastic modeling approach for risk assessment of groundwater contamination.” J. Environ. Manage., 82(2), 173–188.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., and Teller, A. H. (1953). “Equation of state calculations by fast computing machines.” J. Chem. Phys., 21(6), 1087–1092.
Miller, C. T., Christakos, G., Imhoff, P. T., McBride, J. F., and Pedit, J. A. (1998). “Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches.” Adv. Water Resour., 21(2), 77–120.
Mpimpas, H., Anagnostopoulos, P., and Ganoulis, J. (2001). “Modelling of water pollution in the Thermaikos Gulf with fuzzy parameters.” Ecol. Modell., 142(1–2), 91–104.
Reeves, H. W., and Abriola, L. M. (1994). “An iterative compositional model for subsurface multiphase flow.” J. Contam. Hydrol., 15(4), 249–276.
Saskatchewan Environment and Resource Management (SERM). (1999). Risk based corrective actions for petroleum contaminated sites, Regina, Sask.
Schulz, K., and Huwe, B. (1997). “Water flow modeling in the unsaturated zone with imprecise parameters using a fuzzy approach.” J. Hydrol., 201(1–4), 211–229.
Sohn, M. D., Small, M. J., and Pantazidou, M. (2000). “Reducing uncertainty in site characterization using Bayesian Monte Carlo methods.” J. Environ. Eng., 126(10), 893–902.
Stedinger, J. R., Vogel, R. M., Lee, S. U., and Batchelder, R. (2008). “Appraisal of the generalized likelihood uncertainty estimation (GLUE) method.” Water Resour. Res., 44, W00B06.
Stiber, N. A., Pantazidou, M., and Small, M. J. (1999). “Expert system methodology for evaluating reductive dechlorination at TCE sites.” Environ. Sci. Technol., 33(17), 3012–3020.
Tam, E. K. L., and Byer, P. H. (2002). “Remediation of contaminated lands, a decision methodology for site owners.” J. Environ. Manage., 64(4), 387–400.
Wilson, J. L., and Miller, P. J. (1978). “Two-dimensional plume in uniform ground-water flow.” J. Hydr. Div., 104(HY4), 503–510.
Yan, J. M., Vairavamoorthy, K., and Gorantiwar, S. D. (2006). “Contaminant transport model for unsaturated soil using fuzzy approach.” J. Environ. Eng., 132(11), 1489–1497.
Zadeh, L. A. (1965). “Fuzzy sets.” Inf. Control., 8, 338–353.
Zimmermann, H. J. (1985). “Application of fuzzy sets theory to mathematical programming.” Inf. Sci. (N.Y.), 36, 29–58.
Zou, R., and Lung, W. S. (2000). “Uncertainty analysis in a dynamic phosphorus model with fuzzy parameters.” Water Qual. Ecosyst. Model., 1, 237–252.
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Information
Published In
Journal of Environmental Engineering
Volume 137 • Issue 1 • January 2011
Pages: 1 - 8
Copyright
© 2011 ASCE.
History
Received: Sep 3, 2009
Accepted: Jun 1, 2010
Published online: Jun 3, 2010
Published in print: Jan 2011
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