Yelisieiev V., Lutsenko V., Berkout V. Modeling the filtration flow of a binary gas mixture in a porous layer taking into account adsorption and desorption processes
- Details
- Parent Category: Geo-Technical Mechanics, 2024
- Category: Geo-Technical Mechanics, 2024, Issue 171
Geoteh. meh. 2024, 171, 86-97
https://doi.org/10.15407/geotm2024.171.086
MODELING THE FILTRATION FLOW OF A BINARY GAS MIXTURE IN A POROUS LAYER TAKING INTO ACCOUNT ADSORPTION AND DESORPTION PROCESSES
1Yelisieiev V. 
1Lutsenko V.
2Berkout V.
1M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
2MassTech Inc., Maryland, USA
UDC 532.7:534.1
Language: English
Abstract. The development of modern technologies in the field of mining operations related to oil and natural gas production, greenhouse gas storage, and mining safety leads to the need to solve a wide range of problems related to filtration and gas exchange in rock formations that are porous media. In many of these problems, it is essential to consider the dynamics of individual components of gas mixtures. This paper considers a number of model problems on the filtration flow of a mixture of two gases. For simplicity, it was assumed that the gases are practically no different, except for their adsorption-desorption properties, expressed in the adsorption rate and the adsorbent capacity with respect to these gases. All other physical and chemical parameters of the gases are the same. Such physical simplification is important for emphasizing and highlighting the manifestation of adsorption effects in gas mixtures. The research presented herein is founded on the equations that describe the conservation of a designated component, factoring in diffusion movement, the Darcy relationship, and the extended Langmuir adsorption equation, which considers the competitive interactions of gas components during adsorption.The stage of dynamic adsorption is considered, i.e. such a characteristic part of the process, when the filtration flow and adsorption phenomena are mutually dependent and, accordingly, have a significant effect on each other. Some examples of filtration flows that may be of interest in the practical aspect, and where each component of the mixture is important, are considered. Through a one-dimensional approach, equations for molar concentrations are derived, and the boundary conditions for the three model scenarios are discussed. The solution is computed numerically via an explicit scheme. The study includes graphs depicting the changes in molar concentrations of the components along the reservoir's length for different moments of time. The results demonstrate that both the adsorption rate and the adsorbent's capacity for specific gas mixture components have a substantial impact on the dynamic characteristics of the process. An assessment of the calculation's accuracy is included. The findings reveal not only the kinetic behavior of the gas mixture but also that of each component individually, which is important for understanding gas exchange processes.
Keywords: porous medium, gas, filtration, adsorption, desorption.
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About the authors:
Yelisieiev Volodymyr, Candidate of Physics and Mathematics Sciences (Ph.D), Senior Researcher in Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author), ORCID 0000-0003-4999-8142
Lutsenko Vasyl, Candidate of Technical Sciences (Ph.D), Senior Researcher in Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-8920-8769
Berkout Vadim, Candidate of Physics and Mathematics Sciences (Ph.D), Senior Researcher, MassTech Inc. (MTI), Rockville, Maryland, USA, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0009-0002-9712-2671