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

TL;DR

This thesis investigates fluid flow in porous media, challenging the anomalous diffusion assumption in saturation processes and analyzing flow tortuosity through numerical methods.

Contribution

It offers an alternative explanation to previous anomalous diffusion results and provides a numerical analysis of flow tortuosity in porous materials.

Findings

Challenged the anomalous diffusion assumption in saturation modeling

Provided numerical insights into flow tortuosity

Proposed alternative explanations for observed phenomena

Abstract

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