title: ÐÐ¾Ð²ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¿ÑÐ¾Ð½Ð¸ÑÐ°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ñ Ð¸ ÐµÐ³Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: New method for porous media permeability determining and its software implementation
Creators: name: ÐÐ²Ð°Ð½ÑÐ¸Ðº, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¼ÐµÑÐ¾Ð´ ÑÐµÑÐµÑÑÐ°ÑÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ ÐÐ¾Ð»ÑÑÐ¼Ð°Ð½Ð°
Ð·Ð°ÐºÐ¾Ð½ ÐÐ°ÑÑÐ¸
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ð¿ÑÐ¾Ð½Ð¸ÑÐ°ÐµÐ¼Ð¾ÑÑÐ¸
Ð¿Ð¾ÑÐ¸ÑÑÐ°Ñ ÑÑÐµÐ´Ð°
modeling
lattice Boltzmann method
Darcy's law
permeability
porous media

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð´ÑÐºÑÐ°, ÑÐµÐ»ÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ ÑÐ²Ð»ÑÐµÑÑÑ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¿ÑÐ¾Ð½Ð¸ÑÐ°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÑÑÐºÑÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐµÑÐµÑÑÐ°ÑÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ ÐÐ¾Ð»ÑÑÐ¼Ð°Ð½Ð° Ð¸ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ Ð·Ð°ÐºÐ¾Ð½Ð° ÐÐ°ÑÑÐ¸. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ ÑÐµÑÐ°Ð»Ð¸ÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¾ÑÐ½Ð¾Ð² ÑÐµÐ¾ÑÐ¸Ð¸ ÑÐ¸Ð»ÑÑÑÐ°ÑÐ¸Ð¸. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ñ Ð¸ Ð¸Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð·ÑÐ°Ð±Ð°ÑÑÐ²Ð°ÐµÐ¼Ð¾Ð¹ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ. ÐÑÐ²Ð¾Ð´ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÑÑÐ°Ð¿Ð° Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð²Ð¾Ð¹ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐµÑÐµÑÑÐ°ÑÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ ÐÐ¾Ð»ÑÑÐ¼Ð°Ð½Ð°. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ ÐµÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¿ÑÐ¾Ð½Ð¸ÑÐ°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ñ. ÐÐ¾Ð´ÐµÐ»Ñ Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð²ÐµÑÐµÐ½Ð° Ð½Ð° ÑÐ²Ð¾Ð¹ÑÑÐ²Ð¾ Ð°Ð´ÐµÐºÐ²Ð°ÑÐ½Ð¾ÑÑÐ¸; ÑÐ´Ð°Ð»Ð¾ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²Ð¸ÑÑ ÑÐ¿ÑÐ°Ð²ÐµÐ´Ð»Ð¸Ð²Ð¾ÑÑÑ ÑÐ¾ÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð·Ð°ÐºÐ¾Ð½Ð¾Ð² Ð¼Ð°ÑÑÑ Ð¸ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð²ÑÐ²ÐµÐ´ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ; Ð±ÑÐ»Ð° Ð²ÑÑÐ²Ð»ÐµÐ½Ð° ÑÐºÐ²Ð¸Ð²Ð°Ð»ÐµÐ½ÑÐ½Ð¾ÑÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½Ð¾Ð¹ ÑÐ¼Ð¿Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¿ÑÐ¾Ð½Ð¸ÑÐ°ÐµÐ¼Ð¾ÑÑÐ¸ Ð¾Ñ Ð¿Ð¾ÑÐ¸ÑÑÐ¾ÑÑÐ¸ ÑÑÐµÐ´Ñ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð¼Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿Ð¾ ÐÐµÐ±Ð°ÑÑÑ.
description: The work is devoted to software product development with the goal of finding porous media permeability by implementing Lattice Boltzmann Method and linear law of Darcy.Â In the course of this work, the following tasks were solved: Research of theoretical fundamentals of the filtration theory. Analysis of existing porous medium modeling approaches and their comparison. Research of theoretical background for the development of software program. Derivation of streaming step equation on the base of LatticeÂ  Boltzmann Method. Model building and its analysis. As a result, the model of porous medium permeability determining was made. The adequacy of the model and the validity of mass and momentum conservation for it was confirmed; the equivalency of the empiric relation between permeability and porosity to the analytical solution by Gebart was verified.