Abstract
For the simulation of the transport of dissolved matter particle models can be used. In this paper a technique is developed for the identification of uncertain parameters in these models. This model calibration is formulated as an optimization problem and is solved with a gradient based algorithm. Here adjoint particle tracks are used for the calculation of the gradient of the cost function. The performance of the calibration method is illustrated by simulations and an application to a river Rhine water quality calamity in November 1986.
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Bhattacharya, R. N.; Waymire, E. C. 1990: Stochastic Processes with Applications. Wiley Series in Probability and Mathematical Statistics. Wiley, New York
Chavent, G. 1980: Identification of distributed parameter systems: about the output least square method, its implementation, and identifiability. In: Iserman R. (ed.) Proc. 5th IFAC Symposium on Identification and System Parameter Estimation, Vol I, pp 85–97. New York: Pergamon Press
Heemink, A. W. 1986: Storm surge prediction using Kalman filtering. Ph.D. thesis, Twente University of Technology, The Netherlands
Heemink, A. W. 1990: Stochastic modelling of dispersion in shallow water. Stochastic Hydrology and Hydraulics, No. 4., pp. 161–174
Kloeden, P. E.; Platen, E. 1992: Numerical solution of stochastic differential equations. Applications of Mathematics 23, Springer-Verlag, New York
Merckx, C. 1987: Identification of a spatially varying parameter in a time-periodic parabolic system. Int. J. Control 46, No. 2, pp. 699–708
Middleton, D. 1960: An introduction to statistical communication theory. New York: McGraw Hill
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; Vetterling, W. T. 1989: Numerical recipes. The Art of Scientific Computing. Cambridge: Cambridge University Press
van den Boogaard, H. F. P. 1988: Calibration of mathematical models by optimal control. Delft: Delft Hydraulics Report Z62/10, Z107/04 (in Dutch)
van Kampen, N. G. 1981a: Stochastic processes in physics and chemistry. Amsterdam: North Holland
van Kampen, N. G. 1981b: Ito versus Stratonovich. Journal of Statistical Physics 24, No. 1
Stratonovich, R. L. 1963: Topics in the theory of random noise. Vol. I. New York: Gordon and Breach, New York
ten Brummelhuis, P. G. J. 1992: Parameter estimation in tidal models with uncertain boundary conditions. Ph.D. Thesis, Twente University of Technology, The Netherlands
Uffink, G. J. M. 1990: Analysis of dispersion by the random walk method. Ph.D. Thesis, Delft University of Technology, The Netherlands
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van den Boogaard, H.F.P., Hoogkamer, M.J.J. & Heemink, A.W. Parameter identification in particle models. Stochastic Hydrol Hydraul 7, 109–130 (1993). https://doi.org/10.1007/BF01581420
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DOI: https://doi.org/10.1007/BF01581420