DOI QR코드

DOI QR Code

Study on relations between porosity and damage in fractured rock mass

  • Xue, Xinhua (State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University)
  • Received : 2014.05.04
  • Accepted : 2015.03.13
  • Published : 2015.07.25

Abstract

The porosity is often regarded as a linear function of fluid pressure in porous media and permeability is approximately looked as constants. However, for some scenarios such as unconsolidated sand beds, abnormal high pressured oil formation or large deformation of porous media for pore pressure dropped greatly, the change in porosity is not a linear function of fluid pressure in porous media, and permeability can't keep a constant yet. This paper mainly deals with the relationship between the damage variable and permeability properties of a deforming media, which can be considered as an exploratory attempt in this field.

References

  1. Akaydin, H., Pierides, A., Weinbaum, S. and Andreopoulos, Y. (2011), "Permeability of soft porous media under one-dimensional compaction", Chem. Eng. Sci., 66(1), 1-14. https://doi.org/10.1016/j.ces.2010.09.017
  2. Auriault, J.L. and Lewandowska, J. (1994), "On the cross-effects of coupled macroscopic transport equations in porous media", Transport Porous Med., 16(1), 31-52. https://doi.org/10.1007/BF01059775
  3. Boutt, D.F., Cook, B.K. and Williams, J.R. (2011), "A coupled fluid-solid model for problems in geomechanics: application to sand production", Int. J. Numer. Anal. Method. Geomech., 35(9), 997-1018. https://doi.org/10.1002/nag.938
  4. Chen, Z., Lyons, S.L. and Qin, G. (2001), "Derivation of the forchheimer law via homogenization", Transport Porous Med., 44(2), 325-335. https://doi.org/10.1023/A:1010749114251
  5. Dai, Y.H. (2006), "CT testing analysis and constitutive model study of unsaturated slates", The Chinese Academy of Science, Wuhan Institute of Rock & Soil Mechanics. [In Chinese]
  6. Guerroudj, N. and Kahalerras, H. (2012), "Mixed convection in an inclined channel with heated porous blocks", Int. J. Numer. Method. Heat Fluid Flow, 22(7), 839-861. https://doi.org/10.1108/09615531211255743
  7. Hang, S.C., Hoon, C.P. and Yeon, S.C. (2012), "The effect of micro-pore configuration on the flow and thermal fields of supercritical $CO_2$", Environ. Eng. Res., 17(2), 83-88. https://doi.org/10.4491/eer.2012.17.2.083
  8. Ichikawa, Y., Kawamura, K., Nakano, M., Kitayama, K. and Kawamura, H. (1999), "Unified molecular dynamics and homogenization analysis for bentonite behaviour: current results and future possibilities", Eng. Geol., 54(1-2), 21-31. https://doi.org/10.1016/S0013-7952(99)00058-7
  9. Jeong, N. (2010), "Advanced study about the permeability for micro-porous structure using the Lattice Boltzmann method", Transport Porous Med., 83(2), 271-288. https://doi.org/10.1007/s11242-009-9438-6
  10. Kim, J.H., Ochoa, J.A. and Whitaker, S. (1987), "Diffusion in anisotropic porous media", Transport in Porous Media, 2(4), 327-356. https://doi.org/10.1007/BF00136440
  11. Lemaitre, R. and Adler, P.M. (1990), "Fractal porous media IV: Three-dimensional stokes flow through random media and regular fractals", Transport Porous Med., 5(4), 325-340. https://doi.org/10.1007/BF01141990
  12. Mao C.X. (2003), Seepage Computation Analysis & Control, China Water & Power Press, Beijing, China. [In Chinese]
  13. Pradeep, B., Clinton, S.W. and Karsten, E.T. (2011), "Effect of network structure on characterization and flow modeling using X-ray micro-tomography images of granular and fibrous porous media", Transport Porous Med., 90(2), 363-391. https://doi.org/10.1007/s11242-011-9789-7
  14. Pradhan, A.K., Das, D., Chattopadhyay, R. and Singh, S.N. (2012), "Effect of 3D fiber orientation distribution on transverse air permeability of fibrous porous media", Powder Technology, 221,101-104. https://doi.org/10.1016/j.powtec.2011.12.027
  15. Saeed, O. and Mohammd, P. (2010), "Direct pore-level modeling of incompressible fluid flow in porous media", J. Computat. Phys., 229(29), 7456-7476. https://doi.org/10.1016/j.jcp.2010.06.028
  16. Shou, D., Fan, J. and Ding, F. (2011), "Hydraulic permeability of fibrous porous media", International J. Heat Mass Transfer, 54(17-18), 4009-4018. https://doi.org/10.1016/j.ijheatmasstransfer.2011.04.022
  17. Valliappan, S. and Zhang, W.H. (1996), "Numerical modeling of methane gas migration in dry coal seam", Int. J. Numer. Anal. Method. Geomech., 20(8), 571-594. https://doi.org/10.1002/(SICI)1096-9853(199608)20:8<571::AID-NAG840>3.0.CO;2-0
  18. Valliappan, S. and Zhang, W.H. (1999), "Role of gas energy during outbursts", Int. J. Numer. Method. Eng., 44(7), 875-895. https://doi.org/10.1002/(SICI)1097-0207(19990310)44:7<875::AID-NME527>3.0.CO;2-G
  19. Wang, J., Li, S.C., Li, L.P., Zhu, W.S., Zhang, Q.Y. and Song, S.G. (2014), "Study on anchorage effect on fractured rock", Steel Compos. Struct., Int. J., 17(6), 791-801. https://doi.org/10.12989/scs.2014.17.6.791
  20. Yang, T. and Wang, L. (2000), "Microscale flow bifurcation and its macroscale implications in periodic porous media", Computat. Mech., 26(6), 520-527. https://doi.org/10.1007/s004660000201
  21. You, L.J., Xue, K.L., Kang, Y.L. and Kong, L. (2013), "Pore structure and limit pressure of gas slippage effect in tight sandstone", The Sci. World J., 28, 1-7.
  22. Yue, W.Z., Tao, G., Zheng, X.C. and Luo, N. (2011), "Numerical experiments of pore scale for electrical properties of saturated digital rock", Int. J. Geosci., 2,148-154. https://doi.org/10.4236/ijg.2011.22015
  23. Zhang, W.H. (1999), "Damage mechanism of failure localization in coal seams during coal/gas outburst", Chinese J. Geotech. Eng., 21(6), 731-736. [In Chinese]

Cited by

  1. Evaluation of Pore Size and Distribution Impacts on Uniaxial Compressive Strength of Lithophysal Rock 2017, https://doi.org/10.1007/s13369-017-2810-x