On a cellular automata model of percolation in a porous medium
UDC
532.546:004.94EDN
RMWEIWDOI:
10.31429/vestnik-22-2-6-14Abstract
Models for the process of wetting and liquid percolation in porous structures have wide applications in various scientific and practical fields: geology and hydrogeology, geotechnical and hydrological engineering problems, production of porous composite materials, oil refining, ecology, agronomy, etc. Modeling of percolation with cellular automata is one of the approaches used to describe fluid behavior at the level of microscopic pores and connecting channels in porous media. In this work, we have implemented a spatial cellular automaton model for the process of liquid percolation in a porous medium with a given morphology, using a superposition of convection and diffusion operators, as well as took into account possible hydrophilic effects. We have created an application in Python language, which provides the ability to generate porous structures with given dimensions and ratio of the volume for the solid skeleton and pores, implementing the work of a cellular automata for given parameters and allows us to view the results of the 3D model, as well as the sections of the cellular array by different planes after a given number of iterations. We illustrated the capabilities of the model with the results of modeling the percolation for various structures, demonstrating qualitative correspondence to real processes. It should be noted that modeling liquid percolation using CA models can be computationally intensive and require significant amounts of computing resources, especially when modeling large porous structures. It is also important to carefully define the transition rules and model parameters to achieve realistic results and consistency with experimental data.
Keywords:
porous medium, percolation, cellular automata, convection, diffusionFunding information
Fragments of the work were carried out with the support of the Scientific Research Center of the Russian Academy of Sciences (project 00-25-13 no. 125011200152-06).
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