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Use of Kalman Filter and Particle Filter in a One Dimensional Leachate Transport Model

  • Shoou-Yuh Chang
  • Sikdar M.I. Latif
Conference paper

Abstract

Modeling the behavior of pollutants during the flow of leachate through soil is important in predicting the fate of the pollutants. A one dimensional transport model with advection and dispersion is used as the deterministic model of benzene leachate transport from an industrial landfill. A Particle filtering with sequential importance re-sampling (SIR) filter and a classical Kalman filtering were used to predict the benzene plume transport. A traditional root mean square error (RMSE) is used to compare the effectiveness of the Kalman filtering and Particle filtering. The results show that Kalman filter performs better than Particle filter at the initial several time steps. Both Kalman filter and Particle filter can reduce up to 80% error in comparison to a conventional numerical approach.

Keywords

Root Mean Square Error Kalman Filter Particle Filter Root Mean Square Error Prediction True Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Arulampalam, S., Maskell, S., Gordon, N., and Clapp, T. 2002. “A tutorial on particle filters for on-line non-linear/non-gaussian Bayesian Tracking.” IEEE Transactions on Signal Processing, 50, 174–188.CrossRefGoogle Scholar
  2. Chen, T., Morris, J., and Martin, E. 2005. “Particle Filters for state and parameter estimation in batch processes.” Journal of Process Control, 15, 665–673.CrossRefGoogle Scholar
  3. Chang, S.Y., and Jin, A. 2005. “Kalman filtering with regional noise to improve accuracy of contaminant transport models.” Journal of Environmental Engineering, 131, 971–982.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Shoou-Yuh Chang
    • 1
  • Sikdar M.I. Latif
  1. 1.North Carolina A&T State UniversityGreensboroUSA

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