A mathematical model based on the research process by the contact groundwater iron removal filters with polystyrene upward seepage takes into account reverse influence determinants (concentration of fluid contamination and sediment) for the environment characteristics (porosity coefficient, mass exchange). Construct the algorithm of solution the regularly perturbed nonlinear task as "convection -mass exchange". On this basis, conducted a computer experiment involving experimental data confirmed the adequacy of the model.

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A numerical method of quasiconformal mappings for solving the coefficient problems of finding eigenvalues of the conductivity tensor having information about its directions in an anisotropic medium using applied quasipotential tomographic data is generalized. The corresponding algorithm is based on the alternate solving of problems on quasiconformal mappings and parameter identification. The results of numerical experiments of imitative restoration of environment structure are presented.

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