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The aim of the thesis is to present and analyze two particular problems oftransport in porous media flow. The first of them is related to the process ofsaturation of porous building materials. Recently, M. K\"untz and P. Laval\'ee,using a computer model of this process, have concluded that the anomalousdiffusion assumption is correct. In this thesis I present an alternativeexplanation of this results without any refer to anomalous diffusion. Thesecond part of the thesis covers the numerical analysis of the tortuosity ofthe flow -- one of a very interesting physical macroscopic variablescharacterizing transport in porous media. (in Polish)

Numerical modeling of fluid flow through porous media (Modelowanie numeryczne transportu plynow przez osrodki porowate)