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An efficient method of tortuosity estimation

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents a comparative analysis of tortuosity calculations in two types of 2D random geometries: with non-overlapping circles and with overlapping squares. Both geometries were converted to binary geometries with different resolution. Next, simulations involving the Lattice Boltzmann Method were performed to obtain velocity fields in a pore space. Based on the obtained velocity fields, Hydraulic tortuosity and streamline tortuosity were calculated, based on the obtained velocity fields, for all considered cases. Hydraulic tortuosity was calculated with the methodology proposed by Koponen et al., whereas streamline tortuosity was determined with the use of a new iterative algorithm. Two variants of the algorithm were proposed. Additionally, the obtained results were compared with selected formulas from the literature. The study demonstrated that calculations of streamlines exiting local inlet velocity maxima are a good alternative to calculations where all possible streamlines are taken into account. Computation time was significantly shorter and estimation quality was comparable.
Rocznik
Strony
39--64
Opis fizyczny
Bibliogr. 29 poz., rys., wykr.
Twórcy
autor
  • University of Warmia and Mazury in Olsztyn, The Faculty of Technical Sciences, 10-957 Olsztyn, M. Oczapowskiego 11, Poland
Bibliografia
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  • 5. J. Fu, H.R. Thomas, C. Li, Tortuosity of porous media: image analysis and physical simulation, Earth-Science Reviews, 212, 103439, 1–30, 2021.
  • 6. W. Sobieski, S. Lipinski, The analysis of the relation between porosity and tortuosity in granular beds, Technical Sciences, 20, 75–85, 2017.
  • 7. T.G. Zielinski, Generation of random microstructures and prediction of sound velocity and absorption for open foams with spherical pores, The Journal of the Acoustical Society of America, 137, 1790–801, 2015.
  • 8. A. Duda, Z. Koza, M. Matyka, Hydraulic tortuosity in arbitrary porous media flow, Physical Review E, 84, 036319, 2011.
  • 9. A. Nabovati, A.C.M. Sousa, Fluid flow simulation in random porous media at pore level using Lattice Boltzmann Method, in: F.G. Zhuang, J.C. Li [eds.], New Trends In Fluid Mechanics Research, Springer, Berlin, Heidelberg, 2007.
  • 10. A. Koponen, M. Kataja, J. Timonen, Permeability and effective porosity of Poros media, Physical Review E, 56, 3319, 1997.
  • 11. A. Koponen, M. Kataja, J. Timonen, Tortuous flow in porous media, Physical Review E, 54, 406, 1996.
  • 12. M. Matyka, Z. Koza, How to calculate tortuosity easily?, AIP Conference Proceedings, 17, 1453, 2012.
  • 13. W. Sobieski, Numerical investigations of tortuosity in randomly generated pore structures, Mathematics and Computers in Simulation, 166, 1–20, 2019.
  • 14. M. Matyka, A. Khalili, Z. Koza, Tortuosity-porosity relation in porous media flow, Physical Review E, 78, 026306, 2008.
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  • 17. R.I. Al-Raousha, I.T. Madhounb, TORT3D: A MATLAB code to compute geometric tortuosity from 3D images of unconsolidated porous media, Powder Technology, 320, 99–107, 2017.
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  • 24. U. Aaltosalmi, Fluid Flow in Porous Media with the Lattice-Boltzman Method, PhD Thesis, University of Jyväskylä, Finland, 2005.
  • 25. M. Matyka, Z. Koza, J. Gołembiewski, M. Kostur, M. Januszewski, Anisotropy of flow in stochastically generated porous media, Physical Review E, 88, 023018, 2013.
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  • 29. A. Kajzer, J. Pozorski, Application of the Lattice Boltzmann Method to the flow past a sphere, Journal of Theoretical and Applied Mechanics, 55, 1091–1099, 2017.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-95c74387-c6bf-4a2e-a1ec-065346f99a05
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