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Estimation of position and intensity of a pollutant source in channel flow using transmittance functions

This paper considers the one-dimension linear advection diffusion equation with constant coefficients for a transient pollutant point source. Theoretical transmittances deduced from the analytical solution of the transport equation (state-space), that is, transfer functions between concentrations, have been calculated. The convolution product between transmittances obtained by Laplace inversion and a reference concentration for channel flow application allows us to estimate the parameters of the model (velocity and diffusion coefficient). A nonlinear fixed point method based on least-squares estimation based on noisy concentration responses and using truncated singular value decomposition regularization is implemented to determinate gaseous contaminant source locations and strengths.