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Volumn 23, Issue 1, 2014, Pages 14-22

Using unscented Kalman filter in subsurface contaminant transport models

Author keywords

Contaminant transport; Error standard deviation (ESD); Kalman filter (KF); Stochastic process; Unscented Kalman filter (UKF)

Indexed keywords

DATA ASSIMILATION; KALMAN FILTER; NUMERICAL METHOD; POLLUTANT; POLLUTANT TRANSPORT; SIMULATION; STOCHASTICITY; TRACKING;

EID: 84897017487     PISSN: 17262135     EISSN: 16848799     Source Type: Journal    
DOI: 10.3808/jei.201400253     Document Type: Article
Times cited : (11)

References (32)
  • 1
    • 0742304282 scopus 로고    scopus 로고
    • The unscented filter as an alternative to the EKF for nonlinear state estimation: A simulation case study
    • Andrei, R., José, A.A.M. C. (2004). The unscented filter as an alternative to the EKF for nonlinear state estimation: a simulation case study. Computers & Chemical Engineering, 28, 347-355. http:// dx.doi.org/10.1016/j.bbr.2011.03.031.
    • (2004) Computers & Chemical Engineering , vol.28 , pp. 347-355
    • Andrei, R.1    José, A.A.M.C.2
  • 2
    • 33748685965 scopus 로고    scopus 로고
    • A stochastic-advective transport model for NAPL dissolution and degradation in nonuniform flows in porous media
    • Chan, PT., and Govindaraju S.R. (2006). A stochastic-advective transport model for NAPL dissolution and degradation in nonuniform flows in porous media. J. Contam. Hydrol., 87, 253-276. http://dx.doi.org/10.1016/j.jconhyd.2006.05.010.
    • (2006) J. Contam. Hydrol , vol.87 , pp. 253-276
    • Chan, P.T.1    Govindaraju, S.R.2
  • 3
    • 20644458341 scopus 로고    scopus 로고
    • Kalman Filtering with regional noise to improve accuracy of contaminant transport models
    • Chang, SY., and Jin, A. (2005). Kalman Filtering with regional noise to improve accuracy of contaminant transport models. J. Environ. Eng., 131(6), 971-982. http://dx.doi.org/10.1061/(ASCE)0733-9372 (2005)131:6(971).
    • (2005) J. Environ. Eng , vol.131 , Issue.6 , pp. 971-982
    • Chang, S.Y.1    Jin, A.2
  • 5
    • 0028409736 scopus 로고
    • Adaptive model architecture and Extended Kalman Bucy filters
    • Costa, PJ. (1994). Adaptive model architecture and Extended Kalman Bucy filters. IEEE Transp. Aerospecis Electron. Syst., 30, 525-533. http://dx.doi.org/10.1109/7.272275.
    • (1994) IEEE Transp. Aerospecis Electron. Syst , vol.30 , pp. 525-533
    • Costa, P.J.1
  • 6
    • 40849147029 scopus 로고    scopus 로고
    • State and parameter estimation in nonlinear systems as an optimal tracking problem
    • Creveling, RD., Philip E.G., and Henry, D.I.A. (2008). State and parameter estimation in nonlinear systems as an optimal tracking problem. Phys. Lett. A, 372, 2640-2644. http://dx.doi.org/10.1016 /j.physleta.2007.12.051.
    • (2008) Phys. Lett. A , vol.372 , pp. 2640-2644
    • Creveling, R.D.1    Philip, E.G.2    Henry, D.I.A.3
  • 7
    • 0032896846 scopus 로고    scopus 로고
    • Geostatistics in soil science: State-of-the-art and perspectives
    • Goovaerts, P (1999). Geostatistics in soil science: state-of-the-art and perspectives. Geoderma, 89, 1-45. http://dx.doi.org/10.1016/S0016-7061(98)00078-0.
    • (1999) Geoderma , vol.89 , pp. 1-45
    • Goovaerts, P.1
  • 8
    • 33745269275 scopus 로고    scopus 로고
    • Application of a dual Unscented Kalman Filter for simultaneous state and parameter estimation in problems of surface-atmosphere exchange
    • Gove, JH., and Hollinger, D.Y. (2006). Application of a dual Unscented Kalman Filter for simultaneous state and parameter estimation in problems of surface-atmosphere exchange. J. Geophys. Res., 111, D08S07. http://dx.doi.org/10.1029/2005JD 006021.
    • (2006) J. Geophys. Res , vol.111
    • Gove, J.H.1    Hollinger, D.Y.2
  • 10
    • 0030251274 scopus 로고    scopus 로고
    • Numerical stochastic analysis of groundwater contaminant transport and plume containment
    • Hamed, M.M., Bedient, B.P., and Conte P.J. (1996). Numerical stochastic analysis of groundwater contaminant transport and plume containment. J. Contam. Hydrol., 24, 1-24. http://dx.doi.org /10.1016/0169-7722(96)00007-1.
    • (1996) J. Contam. Hydrol , vol.24 , pp. 1-24
    • Hamed, M.M.1    Bedient, B.P.2    Conte, P.J.3
  • 11
    • 0034983535 scopus 로고    scopus 로고
    • Modeling soil variation: Past, present, and future
    • Heuvelink, GB. M., and Webster, R. (2001). Modeling soil variation: past, present, and future. Geoderma, 100, 269-301. http://dx.doi. org/10.1016/S0016-7061(01)00025-8.
    • (2001) Geoderma , vol.100 , pp. 269-301
    • Heuvelink, G.B.M.1    Webster, R.2
  • 12
    • 69349092057 scopus 로고    scopus 로고
    • Examining the influence of heterogeneous porosity fields on conservative solute transport
    • Hu, XB., Mark, M.M., Warren, B., David, W.H., He, C., Li X., and Guo, L. (2009). Examining the influence of heterogeneous porosity fields on conservative solute transport. J. Contam. Hydrol., 108, 77-88. http://dx.doi.org/10.1016/j.jconhyd.2009.06.001.
    • (2009) J. Contam. Hydrol , vol.108 , pp. 77-88
    • Hu, X.B.1    Mark, M.M.2    Warren, B.3    David, W.H.4    He, C.5    Li, X.6    Guo, L.7
  • 16
    • 0032790670 scopus 로고    scopus 로고
    • Three-dimensional finite element modeling for consolidation due to groundwater withdrawal in a desaturating anisotropic aquifer system
    • Kim, JM., and Parizek R.R. (1999). Three-dimensional finite element modeling for consolidation due to groundwater withdrawal in a desaturating anisotropic aquifer system. Int. J. Numer. Anal. Meth. Geomatics, 23, 549-571. http://dx.doi.org/10.1002/(SICI) 1096-9853 (199905)23:6549::AID-NAG9833.0.CO;2-Y.
    • (1999) Int. J. Numer. Anal. Meth. Geomatics , vol.23 , pp. 549-571
    • Kim, J.M.1    Parizek, R.R.2
  • 17
    • 74849111073 scopus 로고    scopus 로고
    • Development of a fuzzy-stochastic nonlinear model to incorporate aleatoric and epistemic uncertainty
    • Li, H., and Zhang, K. (2010). Development of a fuzzy-stochastic nonlinear model to incorporate aleatoric and epistemic uncertainty. J. Contam. Hydrol., 111, 1-12. http://dx.doi.org/10.1016/j.jconhyd. 2009.10.004.
    • (2010) J. Contam. Hydrol , vol.111 , pp. 1-12
    • Li, H.1    Zhang, K.2
  • 18
    • 0034326226 scopus 로고    scopus 로고
    • New developments in state estimation for nonlinear systems
    • Magnus, N, Niels P.K., and Ole Ravn. (2000). New developments in state estimation for nonlinear systems. J. Automatica, 36, 1627-1638. http://dx.doi.org/10.1016/S0005-1098(00)00089-3.
    • (2000) J. Automatica , vol.36 , pp. 1627-1638
    • Magnus, N.1    Niels, P.K.2    Ravn, O.3
  • 19
    • 34248343038 scopus 로고    scopus 로고
    • A numerical modeling and neural network approach to estimate the impact of groundwater abstractions on river flows
    • Parkin, G, Birkinshaw, S.J., Younger, P. L., Rao, Z., and Kirk, S. (2007). A numerical modeling and neural network approach to estimate the impact of groundwater abstractions on river flows. J. Hydrol., 339 (1-2), 15-28. http://dx.doi.org/10.1016/j.jhydrol.2007. 01.041.
    • (2007) J. Hydrol , vol.339 , Issue.1-2 , pp. 15-28
    • Parkin, G.1    Birkinshaw, S.J.2    Younger, P.L.3    Rao, Z.4    Kirk, S.5
  • 20
    • 0035335074 scopus 로고    scopus 로고
    • Stochastic methods for sequential data assimilation in strongly nonlinear systems
    • Pham, DT. (2001). Stochastic methods for sequential data assimilation in strongly nonlinear systems. Mon. Weather Rev., 129 (5), 1194-1207. http://dx.doi.org/10.1175/1520-0493(2001)129 1194: SMFSDA 2.0.CO;2.
    • (2001) Mon. Weather Rev , vol.129 , Issue.5 , pp. 1194-1207
    • Pham, D.T.1
  • 21
    • 0346306379 scopus 로고    scopus 로고
    • The Extended Kalman Filter (EKF) as a tool for the assimilation of high frequency water quality data
    • Pastres, R, Ciavatta, S., and Solidoro, C. (2003). The Extended Kalman Filter (EKF) as a tool for the assimilation of high frequency water quality data. Ecol. Model., 170, 227-235. http:// dx.doi.org/10.1016/S0304-3800 (03)00230-8.
    • (2003) Ecol. Model , vol.170 , pp. 227-235
    • Pastres, R.1    Ciavatta, S.2    Solidoro, C.3
  • 22
    • 44649122952 scopus 로고    scopus 로고
    • Applying the Unscented Kalman Filter for nonlinear state estimation
    • Rambabu, K, Bjarne F., and Lars I. (2008). Applying the Unscented Kalman Filter for nonlinear state estimation. J. Process Control, 18, 753-768. http://dx.doi.org/10.1016/j.jprocont.2007.11.004.
    • (2008) J. Process Control , vol.18 , pp. 753-768
    • Rambabu, K.1    Bjarne, F.2    Lars, I.3
  • 23
    • 0033385573 scopus 로고    scopus 로고
    • Hybrid Laplace transform finite element method for solving the convection-dispersion problem
    • Ren, L, and Zhang R. (1999). Hybrid Laplace transform finite element method for solving the convection-dispersion problem. Adv. Water Resour., 23, 229-237. http://dx.doi.org/10.1016/S0309-1708(99)00013-5.
    • (1999) Adv. Water Resour , vol.23 , pp. 229-237
    • Ren, L.1    Zhang, R.2
  • 24
    • 0034855930 scopus 로고    scopus 로고
    • The square-root Unscented Kalman Filter for state and parameter-estimation
    • Rudolph, VM., and Eric A.W. (2001). The square-root Unscented Kalman Filter for state and parameter-estimation. IEEE Int. Conf., 6, 3461-3464.
    • (2001) IEEE Int. Conf , vol.6 , pp. 3461-3464
    • Rudolph, V.M.1    Eric, A.W.2
  • 26
    • 0035101863 scopus 로고    scopus 로고
    • An application of the Kalman Filtering technique for stream flow forecasting in the upper Murray basin
    • Schreider, S.Y., Yong, P.C., and Jakeman, A.J. (2001). An application of the Kalman Filtering technique for stream flow forecasting in the upper Murray basin. Math. Comput. Model., 33, 733-743. http://dx.doi.org/10.1016/S0895-7177(00)00276-4.
    • (2001) Math. Comput. Model , vol.33 , pp. 733-743
    • Schreider, S.Y.1    Yong, P.C.2    Jakeman, A.J.3
  • 27
    • 0033723743 scopus 로고    scopus 로고
    • A New Method for the Nonlinear Transformation of Means and Covariances in Filters and Estimators
    • Simon, J, Jeffrey U., and Hugh F.D. (2000). A New Method for the Nonlinear Transformation of Means and Covariances in Filters and Estimators. IEEE Transaction on Automatic Control, 45(3).
    • (2000) IEEE Transaction On Automatic Control , vol.45 , Issue.3
    • Simon, J.1    Jeffrey, U.2    Hugh, F.D.3
  • 28
    • 0002283407 scopus 로고    scopus 로고
    • Recent advances in vadose zone flow and transport modeling
    • In: M.B. Parlange and J.W. Hopmans (eds.), Oxford University Press, New York
    • Van, G., Martinus, T., and Sudicky, E.A. (1999). Recent advances in vadose zone flow and transport modeling. In: M.B. Parlange and J.W. Hopmans (eds.), Vadose zone hydrology: cutting across disciplines, 155-193, Oxford University Press, New York.
    • (1999) Vadose Zone Hydrology: Cutting Across Disciplines , pp. 155-193
    • Van, G.1    Martinus, T.2    Sudicky, E.A.3
  • 30
    • 71749104383 scopus 로고    scopus 로고
    • A comparison of numerical solutions of partial differential equations with probabilistic and possibilistic parameters for the quantification of uncertainty in subsurface solute transport
    • Zhang, K, Achari, G., and Li, H. (2009). A comparison of numerical solutions of partial differential equations with probabilistic and possibilistic parameters for the quantification of uncertainty in subsurface solute transport. J. Contam. Hydrol., 110, 45-59. http:// dx.doi.org/10.1016/j.jconhyd.2009.08.005.
    • (2009) J. Contam. Hydrol , vol.110 , pp. 45-59
    • Zhang, K.1    Achari, G.2    Li, H.3
  • 32
    • 0029108746 scopus 로고
    • Optimal Estimation of two-dimensional Contaminant transport
    • Zou, S., and Parr, A. (1995). Optimal Estimation of two-dimensional Contaminant transport. Ground Water, 33, 319-325. http://dx.doi. org/10.1111/j.1745-6584.1995.tb00287.x.
    • (1995) Ground Water , vol.33 , pp. 319-325
    • Zou, S.1    Parr, A.2


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