TECHNICAL PAPERS
Aug 23, 2010

Subsurface Radioactive Contaminant Transport Modeling Using Particle and Kalman Filter Schemes

Publication: Journal of Environmental Engineering
Volume 137, Issue 4

Abstract

Contamination of groundwater by radioactive contaminants can be harmful to the environment. Various prediction models have been adopted to simulate the state of contaminants in the subsurface. Conventional numerical models are simplified by approximation and the model parameters are assumed to be constant, thereby introducing error to the prediction results. Particle and Kalman filters are used in this research to simulate the radioactive contaminant cobalt-57 transport in a subsurface environment by using a two-dimensional advection-dispersion model. A radioactive contaminant concentration was predicted spatially and temporally within boundary conditions. The errors in the prediction results were assessed by using the root-mean-square-error (RMSE) equation. The results show that the Kalman filter performs better than the particle filter when the prediction model is linear. Furthermore, the results from filters are closer to the true value in comparison with the numerical solution, and the filters are capable of reducing the RMSE of the numerical solution by approximately 80%.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work was sponsored by the Dept. of Energy Samuel Massie Chair of Excellence Program under Grant No. UNSPECIFIEDDF-FG01-94EW11425. The views and conclusions contained herein are those of the writers and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the funding agency.

References

Abel Rahman, R. O., Zaki, A. A., and El-Kamash, A. M. (2007). “Modeling the long-term leaching behavior of Cs137, Co60 and Eu152,154 radionuclides from cement-clay matrices.” J. Hazard. Mater., 145, 372–380.
Arulampalam, M. S., Maskell, S., Gordon, N., and Clapp, T. (2002). “A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking.” IEEE Trans. Signal Process., 50(2), 174–188.
Chang, S. Y., and Jin, A. (2005). “Kalman filtering with regional noise to improve accuracy of contaminant transport models.” J. Environ. Eng., 131(6), 971–982.
Chang, S. Y., and Li, X. (2006). “Modeling of chlorobenzene leaching from a landfill into a soil environment using particle filter approach.” Proc., 2006 Int. Conf. on Environmental Informatics, Int. Society for Environmental Information Sciences, Bowling Green, KY.
Chen, T., Morris, J., and Martin, E. (2005). “Particle filters for state and parameter estimation in batch processes.” J. Process Control, 15, 665–673.
Cheng, X. (2000). “Kalman filter scheme for three-dimensional subsurface transport simulation with a continuous input.” M.S. thesis, Civil and Environmental Engineering, North Carolina A&T State Univ., Greensboro, NC.
Deng, X. L., Jian, Y., and Lin, W. (2005). “Improved particle filter based on current statistical model.” Control Decis., 20, 567–574 (in Chinese).
Herkelrath, W. N., Kharaka, Y. K., Thordsen, J. J., and Abbort, M. M. (2007). “Hydrology and subsurface transport of oil-field brine at the U.S Geological Survey OSPER site ‘A’, Osage County, Oklahoma.” Appl. Geochem., 1–9.
Jin, A. (1996). “An optimal estimation scheme for subsurface contaminant transport model using Kalman-Bucy filter.” Graduate student thesis, Civil and Environmental Engineering, North Carolina A&T State Univ., Greensboro, NC.
Jin, A., and Chang, S. Y. (2009). “Radioactive contaminant transport in subsurface porous environment.” Proc. of the 2007 National Conference on Environmental Science and Technology, Part 4, Springer, Greensboro, NC, 181–188.
Lamontagne, S., et al. (2008). “Radium and radon radioisotopes in regional groundwater, intertidal groundwater, and seawater in the Adelaide coastal waters study area: Implications for the evaluation of submarine groundwater discharge.” Mar. Chem., 109, 318–336.
Li, P., Goodall, R., and Kadirkamanathan, V. (2004). “Estimation of parameters in a linear state space model using a Rao-Blackwellised particle filter.” IEE Proc.: Control Theory Appl., 151(6), 727–738.
Li, X. (2006). “State and parameter estimation using particle filter approach.” M.S. thesis, Civil and Environmental Engineering, North Carolina A&T State Univ., Greensboro, NC.
Marseguerra, M., Enrico, Z., Edoardo, P., Francesca, G., and Giancarlo, V. (2003). “Monte Carlo simulation of contaminant release from a radioactive waste deposit.” Math. Comput. Simul., 62, 421–430.
Michigan Department of Environmental Quality (MDEQ). (2003). “Ground water statistics.” MDEQ Water Division, Groundwater Section. 〈http://www.michigan.gov/documents/deq/deq-wd-gws-wcu-groundwaterstatistics_270606_7.pdf〉.
Moradkhani, H., Kuo, L. H., Hoshin, G., and Soroosh, S. (2005). “Uncertainty assessment of hydrologic model states and parameters: Sequential data assimilation using the particle filter.” Water Resour. Res., 41, W05012.
Pye, V. I., and Kelley, J. (1984). “The extent of groundwater contamination in the United States”. Chapter 1, Groundwater contamination, National Academy Press, Washington, DC, 23–34.
Tourneret, J. Y., Doisy, M., and Mazzei, M. (1998). “Bayesian estimation of the abrupt changes contaminated by multiplicative noise using MCMC.” IEEE Int. Conference on Acoustics, Speech and Signal Processing-Proc., IEEE, New York, 4, 2133–2136.
Welch, G., and Bishop, G. (1995). “An introduction to the Kalman filter.” Technical Rep. No. TR 95-041, Univ. of North Carolina, Dept. of Computer Science, 〈http://www.cs.unc.edu/~tracker/media/pdf/SIGGRAPH2001_CoursePack_08.pdf〉 (Jan. 20, 2007).
Yu, Y. S., and Wenzhi, L. (1989). “Longitudinal dispersion in rivers: A dead zone model solution.” J. Am. Water Resour. Assoc., 25(2), 319–325.
Zou, S., and Parr, A. (1995). “Optimal estimation of two-dimensional contaminant transport.” Ground Water, 33(2), 319–325.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 137Issue 4April 2011
Pages: 221 - 229

History

Received: Jun 30, 2009
Accepted: Aug 20, 2010
Published online: Aug 23, 2010
Published in print: Apr 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Shoou-Yuh Chang, M.ASCE
Department of Energy Samuel Massie Chair Professor, Dept. of Civil Engineering, North Carolina Agricultural and Technical (A&T) State Univ., Greensboro, NC 27411.
Godwin Appiah Assumaning [email protected]
Research Assistant, Dept. of Civil Engineering, North Carolina A&T State Univ., Greensboro, NC 27411 (corresponding author). E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share