Abstract:
The goal is to build up an inverse model capable of finding the release history of atmo spheric pollution by using measured gas concentration data at just one location on the ground
and identify the factors which affects the accuracy of the model predictions. The problem
involves a non-steady point source of pollution at a known location in the atmosphere. This
problem of finding the release rate is an ill-posed inverse problem and its solution is extremely
sensitive to errors in the measurement data. Special regularisation methods, which stabilise
the process of the solution, must be used to solve the problem. The method described in this
paper is based on linear least-squares regression and Tikhonov regularisation, coupled with
the solution of an advection-diffusion equation for a non-steady point source. The accuracy of
the method is examined by imposing normally-distributed relative noise into the concentration
data generated by the forward model as well as some real experimental data.
