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Geofluids
Volume 2017, Article ID 7905218, 10 pages
https://doi.org/10.1155/2017/7905218
Research Article

A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media

1School of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan 610500, China
2State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan 610500, China

Correspondence should be addressed to Jianjun Liu; moc.361@6090jjuil

Received 3 May 2017; Revised 14 August 2017; Accepted 11 September 2017; Published 18 October 2017

Academic Editor: Micol Todesco

Copyright © 2017 Jianjun Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. F. Golfier, M. Quintard, B. Bazin, and R. Lenormand, “Core-scale description of porous media dissolution during acid injection—part II: calculation of the effective properties,” Computational and Applied Mathematics, vol. 25, no. 1, pp. 406–413, 2006. View at Google Scholar
  2. O. Prokopiev, Mechanical Properties of Porous Solids [M.S. thesis], 2009.
  3. G. Lu, G. Q. Lu, and Z. M. Xiao, “Mechanical properties of porous materials,” Journal of Porous Materials, vol. 6, no. 4, pp. 359–368, 1999. View at Publisher · View at Google Scholar · View at Scopus
  4. I. Yakub, J. Du, and W. O. Soboyejo, “Mechanical properties, modeling and design of porous clay ceramics,” Materials Science and Engineering: A Structural Materials: Properties, Microstructure and Processing, vol. 558, pp. 21–29, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. K. Zhao, Y.-F. Tang, Y.-S. Qin, and J.-Q. Wei, “Porous hydroxyapatite ceramics by ice templating: freezing characteristics and mechanical properties,” Ceramics International, vol. 37, no. 2, pp. 635–639, 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. X. Wang, Z. Yao, J. Ma, and Y. Pan, “Analysis of void characteristics in shear band of porous media (2): maximum void ratio,” Chinese Journal of Rock Mechanics and Engineering, vol. 23, no. 15, pp. 2519–2522, 2004. View at Google Scholar · View at Scopus
  7. B. B. Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman, New York, NY, USA, 1983.
  8. G. Pia, L. Casnedi, M. Ionta, and U. Sanna, “On the elastic deformation properties of porous ceramic materials obtained by pore-forming agent method,” Ceramics International, vol. 41, no. 9, pp. 11097–11105, 2015. View at Publisher · View at Google Scholar · View at Scopus
  9. V.-H. Nguyen, E. Rohan, and S. Naili, “Multiscale simulation of acoustic waves in homogenized heterogeneous porous media with low and high permeability contrasts,” International Journal of Engineering Science, vol. 101, pp. 92–109, 2016. View at Publisher · View at Google Scholar · View at Scopus
  10. T. G. Zieliński, “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, vol. 137, no. 4, pp. 1790–1801, 2015. View at Publisher · View at Google Scholar · View at Scopus
  11. R. Song, J. Liu, and D. Qin, “Numerical simulation of two phase flow in reconstructed pore network based on lattice boltzmann method,” International Journal of Computer Science Issues, vol. 10, no. 3, pp. 193–200, 2013. View at Google Scholar
  12. P. Li, “Mathematical models of flow-deformation coupling for porous media,” Chinese Journal of Rock Mechanics and Engineering, vol. 23, no. 16, p. 2842, 2004 (Chinese). View at Google Scholar
  13. A. Raoof, Reactive/Adsorptive transport in (partially-) saturated porous media: from pore scale to core scale [Ph.D. thesis], 2011.
  14. X. Q. Jin and C. Y. Zhao, “Numerical investigation on the effective thermal conductivity of plasma sprayed zirconia coatings,” Ceramics International, vol. 41, no. 10, pp. 14915–14923, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. H. Shi, C. Y. Zhao, and B. X. Wang, “Modeling the thermal radiation properties of thermal barrier coatings based on a random generation algorithm,” Ceramics International, vol. 42, no. 8, pp. 9752–9761, 2016. View at Publisher · View at Google Scholar · View at Scopus
  16. L. Chen, Q. Kang, Z. Dai, H. S. Viswanathan, and W. Tao, “Permeability prediction of shale matrix reconstructed using the elementary building block model,” Fuel, vol. 160, article no. 9475, pp. 346–356, 2015. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Wang, N. Pan, J. Wang, and S. Chen, “Mesoscopic simulations of phase distribution effects on the effective thermal conductivity of microgranular porous media,” Journal of Colloid and Interface Science, vol. 311, no. 2, pp. 562–570, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Wang, J. Wang, N. Pan, and S. Chen, “Mesoscopic predictions of the effective thermal conductivity for microscale random porous media,” Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol. 75, no. 3, Article ID 036702, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. J. Zhou, A. M. Gokhale, A. Gurumurthy, and S. P. Bhat, “Realistic microstructural RVE-based simulations of stress-strain behavior of a dual-phase steel having high martensite volume fraction,” Materials Science and Engineering: A Structural Materials: Properties, Microstructure and Processing, vol. 630, pp. 107–115, 2015. View at Publisher · View at Google Scholar · View at Scopus
  20. K. Yazdchi, S. Srivastava, and S. Luding, “Microstructural effects on the permeability of periodic fibrous porous media,” International Journal of Multiphase Flow, vol. 37, no. 8, pp. 956–966, 2011. View at Publisher · View at Google Scholar · View at Scopus
  21. A. Q. Raeini, M. J. Blunt, and B. Bijeljic, “Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces,” Advances in Water Resources, vol. 74, pp. 116–126, 2014. View at Publisher · View at Google Scholar · View at Scopus
  22. M. Hekmatzadeh, M. Dadvar, and M. Sahimi, “Pore-network simulation of unstable miscible displacements in porous media,” Transport in Porous Media, vol. 113, no. 3, pp. 511–529, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. P. M. Adler, “Fractal porous media III: transversal stokes flow through random and sierpinski carpets,” Transport in Porous Media, vol. 3, no. 2, pp. 185–198, 1988. View at Publisher · View at Google Scholar · View at Scopus
  24. Z. Jiang, Characterisation of pore sizes and connectivity in 3D porous media, 2006, http://proceedings.dtu.dk/fedora/repository/dtu:1696/OBJ/article.pdf.
  25. H. Shen, S. M. Oppenheimer, D. C. Dunand, and L. C. Brinson, “Numerical modeling of pore size and distribution in foamed titanium,” Mechanics of Materials, vol. 38, no. 8–10, pp. 933–944, 2006. View at Publisher · View at Google Scholar · View at Scopus
  26. L. Sun, X. Wang, X. Jin, J. Li, and S. Wu, “Three dimensional characterization and quantitative connectivity analysis of micro/nano pore space,” Petroleum Exploration and Development, vol. 43, no. 3, pp. 490–498, 2016. View at Publisher · View at Google Scholar · View at Scopus
  27. A. H. Thompson, “Fractals in rock physics,” Annual review of Earth and planetary sciences, 19, pp. 237–262, 1991. View at Google Scholar · View at Scopus
  28. P.-Z. Wong, “The statistical physics of sedimentary rock,” Physics Today, vol. 41, no. 12, pp. 24–32, 1988. View at Publisher · View at Google Scholar · View at Scopus
  29. A. Dathe, S. Eins, J. Niemeyer, and G. Gerold, “The surface fractal dimension of the soil-pore interface as measured by image analysis,” Geoderma, vol. 103, no. 1-2, pp. 203–229, 2001. View at Publisher · View at Google Scholar · View at Scopus
  30. W. Q. Shen and J. F. Shao, “Some micromechanical models of elastoplastic behaviors of porous geomaterials,” Journal of Rock Mechanics and Geotechnical Engineering, vol. 9, no. 1, pp. 1–17, 2017. View at Publisher · View at Google Scholar · View at Scopus
  31. F. Gruttmann, R. Sauer, and W. Wagner, “Theory and numerics of three-dimensional beams with elastoplastic material behaviour,” International Journal for Numerical Methods in Engineering, vol. 48, no. 12, pp. 1675–1702, 2000. View at Publisher · View at Google Scholar · View at Scopus