Estimating the Hydraulic Conductivity of Two-Dimensional Fracture Networks Using Network Geometric Properties

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• 作者：Colin T. O. Leung (1) c.leung08@imperial.ac.uk
  Robert W. Zimmerman (1) r.w.zimmerman@imperial.ac.uk
• 关键词：Permeability &#8211 ; Hydraulic conductivity &#8211 ; Effective medium theory &#8211 ; Fracture network &#8211 ; Percolation
• 刊名：Transport in Porous Media
• 出版年：2012
• 出版时间：July 2012
• 年：2012
• 卷：93
• 期：3
• 页码：777-797
• 全文大小：1.8 MB
• 参考文献：1. Adler P.M., Berkowitz B.: Effective medium analysis of random lattices. Transp. Porous Media 40, 145–151 (2000)
  2. David C., Gueguen Y., Pampoukis G.: Effective medium theory and network theory applied to the transport properties of rock. J. Geophys. Res. 95, 6993–7005 (1990)
  3. de Dreuzy J.-R., Davy P., Bour O.: Hydraulic properties of two-dimensional random fracture networks following a power law length distribution 1. Effective connectivity. Water Resour. Res. 37, 2065–2078 (2001a)
  4. de Dreuzy J.-R., Davy P., Bour O.: Hydraulic properties of two-dimensional random fracture networks following a power law length distribution 2. Permeability of networks based on lognormal distribution of apertures. Water Resour. Res. 37, 2079–2095 (2001b)
  5. Desbarats A.J.: Spatial averaging of hydraulic conductivity in three-dimensional heterogeneous porous media. Math. Geol. 24, 249–267 (1992)
  6. Hestir K., Long J.C.S.: Analytical expressions for the permeability of random two-dimensional Poisson fracture networks based on regular lattice percolation and equivalent media theories. J. Geophys. Res. 95(B13), 21565–21581 (1990)
  7. Jackson C.P., Hoch A.R., Todman S.: Self-consistency of a heterogeneous continuum porous medium representation of a fractured medium. Water Resour. Res. 36(1), 189–202 (2000)
  8. Kirkpatrick S.: Percolation and conduction. Rev. Mod. Phys. 45(4), 574–588 (1973)
  9. Lock P.A., Jing X.D., Zimmerman R.W., Schlueter E.M.: Predicting the permeability of sandstone from image analysis of pore structure. J. Appl. Phys. 92, 6311–6319 (2002)
  10. Long J.C.S., Witherspoon P.A.: The relationship of the degree of interconnection to permeability in fracture networks. J. Geophys. Res. 90, 3087–3098 (1985)
  11. Min K.-B., Jing L., Stephansson O.: Determining the equivalent permeability tensor for fractured rock masses suing a stochastic REV approach: method and application to the field data from Sellafield, UK. Hydrogeol. J. 12, 497–510 (2004)
  12. Sayers C.M., Kachanov M.: A simple technique for finding effective elastic constants of cracked solids for arbitrary crack orientation statistics. Int. J. Solids Struct. 27(6), 671–680 (1990)
  13. Serco TAS: NAPSAC Technical Summary, Release 9.6. Serco, Harwell, Didcot (2008)
  14. Snow D.T.: Anisotropic permeability of fractured media. Water Resour. Res. 5, 1273–1289 (1969)
  15. T贸th T.M., Vass I.: Relationship between the geometric parameters of rock fractures, the size of percolation clusters and REV. Math. Geosci. 43, 75–97 (2011)
  16. van Golf-Racht T.D.: Fundamementals of Fractured Reservoir Engineering. Elsevier, Amsterdam (1982)
  17. Wu Y.S., Haukwa C., Bodvarsson G.S.: A site-scale model for fluid and heat flow in the unsaturated zone of Yucca Mountain, Nevada. J. Contam. Hydrol. 38, 185–215 (1999)
  18. Zhang X., Sanderson D.J.: Numerical study of critical behaviour of deformation and permeability of fractured rock mass. Marine Petrol. Geol. 15, 535–548 (1998)
  19. Zimmerman R.W., Bodvarsson G.S.: Effective transmissivity of two-dimensional fracture networks. Int. J. Rock Mech. Min. Sci. 33(4), 433–488 (1996)
• 作者单位：1. Department of Earth Science and Engineering, Imperial College London, London, SW7 2AZ UK
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

Fluid flow through random two-dimensional fracture networks is investigated, with the aim of establishing a methodology for estimating the macroscopic effective hydraulic conductivity based on the parameters of the fracture network. A wide range of isotropic networks is examined: the lengths are either uniform, or follow a power law or lognormal distribution; the apertures are either uniform, or proportional to the fracture lengths. A methodology is developed that utilises the fracture density and the aperture distribution, but does not require explicit solution of the flow equations. This method provides an accurate estimate of the macroscopic hydraulic conductivity, for all cases considered, spanning ten orders of magnitude.