Discrete Models for Real Processes

Generation of porous media computer representation by two-layer totalistic cellular automaton

A. E. Kireeva

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia

Abstract: In the paper, two-layer totalistic cellular automaton allowing to generate porous materials computer representation is presented. Two-layer cellular automaton is constructed as a parallel composition of a totalistic cellular automaton and an asynchronous cellular automaton. The second layer gives an opportunity to form complex inhomogeneous structures similar to a patterns emerging in natural phenomena. The investigation aims to create a method for porous media morphology synthesis according to a given set of properties such as porosity, percolation, density, etc. Two-layer totalistic cellular automaton allows to obtain a set of patterns representing different porous media morphology. In addition, a porous medium characteristics such as percolation degree, porosity, the number of connected components are calculated and can be used for the analysis and selection of materials with necessary morphology.

Keywords: totalistic cellular automaton, parallel composition of cellular automata, activator, inhibitor, porous media, stable patterns.

UDC: 519.856+519.854.3

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