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MODELLING THE FLOW OF A GAS MIXTURE THROUGH A POROUS MEDIUM, WITH ACCOUNT BEING TAKEN OF THE MODELLING SCALE
Abstract
The flow of gases through porous media is a common physical phenomenon occurring not only in the natural environment but also in a number of technical applications, including the industry. The flow of gases through rock porous media takes place during exploitation of numerous energy resources ? not only during the excavation of hard coal (the flow of a gas mixture through goaf with caving) but also in the course of exploiting crude oil and natural gas (the flow through shale rocks). The issue of gases flowing through porous media is also related to the underground sequestration of acid gases in the rock mass, including inactive headings of liquidated underground mines. During gas injection into the rock mass, gases with different physical properties, i.e. the gas being injected and the gas present in the rock mass, mix together. The mechanism responsible for this phenomenon is the physical dispersion in the porous medium. The article presents the results of numerical tests on the mixing process of gases with different physical properties in a porous medium for the flow defined by the N-S equations (the pore scale-microscale) and for flow defined by the Darcy?s model (the deposit scale-macroscale). The numerical tests conducted helped to determine the concentration distributions for the gases in the media under analysis.
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Anderson B. A., Sarkar A., Thompson J. F., Singh R. P.: Commercial Scale Forced Air Cooling of Packaged Strawberries. Transactions of the ASAE, Vol. 47(1): 183-190. American Society of Agricultural Engineers, 2004.
Andrade J. S., Costa U. M. S., Almeida M. P., Makse H. A., Stanley H. E.: Inertial Effects on Fluid Flow through Disordered Porous Media. Physical Review Letters, Vol. 82, No. 26 - 28 June 1999.
Bear J.: Dynamics of Fluid in Porous Media, American Elsevier, New York 1972.
Brodny J., Tutak M.: Analysis of methane hazard conditions in mine headings. Tehnički vjesnik/Technical Gazette, 2018, Vol. 25/No.1, pp. 271-276. DOI: 10.17559/TV-20160322194812.
Brodny J., Tutak M., John A.: Analysis of Influence of Types of Rocks Forming the Goaf with Caving on the Physical Parameters of Air Stream Flowing Through These Gob and Adjacent Headings. Mechanics (MECHANIKA) 2018 Volume 24 (1): 43-49. DOI: 10.5755/j01.mech.24.1.20214
Brodny J., Tutak M: Analysis of methane emission into the atmosphere as a result of mining activity. SGEM 2016, ISBN 978-619-7105-82-7, ISSN 1314-2704, pp. 83-90. DOI: 10.5593/SGEM2016/HB43/S06.012.
Brodny J., Tutak M.: Determination of the zone endangered by methane explosion in goaf with caving of operating longwalls. SGEM2016 Conference Proceedings, 2016, Book1 Vol. 2, 299-306 pp. DOI: 10.5593/SGEM2016/B12/S03.039
Elsner J.W.: Turbulencja przepływów. Warszawa, Wyd. PWN, 1987
Maciejewski S.: Procesy przepływu rozpuszczonych w wodzie substancji w gruncie nienasyconym. IBW PAN, Biblioteka Naukowa Hydrotechnika nr 26., Gdańsk 1998.
Sawicki J. M.: Migracja zanieczyszczeń. Wydawnictwo Politechniki Gdań-skiej, Gdańsk 2003
Sławomirski M.: Modelowanie matematyczne roztwarzania substancji aktywnych zawartych w podziemnym składowisku odpadów z uwzględnieniem dyfuzji i kinetyki reakcji chemicznych. Prace Instytutu Mechaniki Górotworu PAN Tom 7, nr 3-4, (2005), pp. 283-293.
Sobieski W., Lipiński S., Dudda W. et al.: Granularne ośrodki porowate. Olsztyn 2016.
Tutak M., Brodny J.: Analysis of Influence of Goaf Sealing from Tailgate On the Me-thane Concentration at the Outlet from the Longwall. IOP Conf. Series: Earth and Environmental Science 95, 2017, 042025 DOI: 10.1088/1755-1315/95/4/042025
Wilson J. L., Gelhar L. W.: Analysis of Longitudinal Dispersion in Unsaturat-ed Flow. 1. The analytical method. Water Resources Research, 17(1), 122-130, 1981.
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