Stochastic Finite-Element Approach to Quantify and Reduce Uncertainty in Pollutant Transport Modeling
Publication: Journal of Hazardous, Toxic, and Radioactive Waste
Volume 15, Issue 3
Abstract
One of the important issues in simulation of contaminant transport in the subsurface is how to quantify the hydraulic properties of soil that are randomly variable in space because of soil heterogeneity. Stochastic approaches have the potential to represent spatially variable parameters, making them an appropriate tool to incorporate the effects of the spatial variability of soil hydraulic properties on contaminant fate. This paper presents development and application of a numerical model for simulation of advective and diffusive-dispersive contaminant transport using a stochastic finite-element approach. Employing the stochastic finite-element method proposed in this study, the response variability is reproduced with a high accuracy. Comparison of the results of the proposed method with the results obtained using the Monte Carlo approach yields a pronounced reduction in the computation cost while resulting in virtually the same response variability as the Monte Carlo technique.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bear, J., and Verruijt, A. (1987). Modeling groundwater flow and pollution, D. Reidel Publishing, Dordrecht, Netherlands.
Gelhar, L. W. (1986). “Stochastic subsurface hydrology from theory to applications.” Water Resour. Res., 22(9), 135S–145S.
Gelhar, L. W., and Axness, C. L. (1983). “Three dimensional stochastic analysis of macrodispersion in aquifers.” Water Resour. Res., 19(1), 161–180.
Ghanem, R. G., and Spanos, P. D. (2003). Stochastic finite elements: A spectral approach, Dover, New York.
Istok, J. (1989). Groundwater modeling by the finite element method, American Geophysical Union, Washington, DC.
Javadi, A. A., and Al-Najjar, M. M. (2007). “Finite element modeling of contaminant transport in soils including the effect of chemical reactions.” J. Hazard. Mater., 143(3), 690–701.
Javadi, A. A., Al-Najjar, M. M., and Evans, B. (2008). “Numerical modeling of contaminant transport through soils: Case study.” J. Geotech. Geoenviron. Eng., 134(2), 214–230.
Lumley, J. L., and Panofsky, H. A. (1964). The structure of atmospheric turbulence, Wiley Interscience, New York.
Mantoglou, A., and Gelhar, L. W. (1987). “Effective hydraulic conductivities of transient unsaturated flow in stratified soils.” Water Resour. Res., 23(1), 57–67.
Neuman, S. P. (1982). “Statistical characterization of aquifer heterogeneities: An overview, recent trends in hydrogeology.” Special Paper No. 189, Geological Society of America, Boulder, CO, 81–102.
Persaud, N., Giraldez, J. V., and Chang, A. C. (1985). “Monte Carlo simulation of noninterating solute transport in a spatially heterogeneous soil.” Soil Sci. Soc. Am. J., 49(3), 562–568.
Polmann, D. J. (1990). “Application of stochastic methods to transient flow and transport in heterogeneous unsaturated soils.” Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge, MA.
Stasa, L. F. (1985). Applied finite element analysis for engineers, Holt, Rinehart, and Winston, New York.
Vomvoris, E., and Gelhar, L. (1990). “Stochastic analysis of the concentration variability in a three-dimensional heterogeneous aquifer.” Water Resour. Res., 26(10), 2591–2602.
Zheng, C., and Bennett, G. D. (2002). Applied contaminant transport modeling, Wiley, New York.
Information & Authors
Information
Published In
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Mar 9, 2010
Accepted: Jul 20, 2010
Published online: Jun 15, 2011
Published in print: Jul 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.