Prigornitsky D. Mathematical modeling of perturbations of filtration processes in porous environments

The methods of mathematical modeling of suffusion effects in porous environments were adopted for the multiply-connected areas of filtration. New algorithms of solving of appropriate nonlinear boundary value problems on conformal and quasiconformal mappings were designed. The program complexes which allow to find the parities between the characteristics of environment and the parameters of the process for the multiply-connected areas of filtration were developed. The idea of step-by-step parameterization of conformal (quasiconformal) invariant, coordinates of inner and boundary nodes of net with the usage of ideas of block iterations’ method was used as the base for the developed numerical method.