Parameter Identification of Axial Dispersion Model

The paper is devoted to the parameter identification of the axial dispersion model in the closed–open canal. It is oriented to the identification precision for the two variants of the flow model with various variance levels. The identification method is based on the transfer function application for the solution of given model PDE. When the impulse function g(t) is obtained, the characteristics of this function are obtained analytically as functions of the model parameters. The impulse function was used for the generation of artificial response with the additive Gaussian noise of various dispersions. Then the parameter identification was computed from experimental data. The theory enables to estimate the model parameters via moment method. Then the non-linear regression by the least square method was used. The point parameter estimate was obtained in the sense of the maximum likelihood method. The Hessian matrix was also calculated and then used for the standard deviation determination.