Skip to main content

Network Topology and Homogenization of Fractured Rocks

  • Chapter
Fluid Flow and Transport in Rocks

Abstract

The geometry of fracture systems affects the hydro-mechanical properties of fractured rocks to a great extent. There are two categories of geometrical properties of a fracture system. One category is the metric properties such as orientation, spacing, aperture and size. These properties can be measured with certain unit dimensions (degrees, metres, or square metres, for example) and they may vary under certain conditions (e.g. during a deformation process). The other category is the topological properties, typically the fracture connectivity, which cannot be measured by using any unit dimensions and does not change during continuous deformation processes. For example, two connected fractures will remain connected unless the blocks containing these two fractures are completely detached from each other, which is, however, a discontinuous deformation process.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aleksandrov, P. S. (1956) Combinatorial Topology, Graylock Press, Baltimore, MD.

    Google Scholar 

  • Dershowitz, W. S. (1984) Rock Joint System, PhD thesis, MIT, Cambridge, MA.

    Google Scholar 

  • Einstein, H. H. (1993) Modem developments in discontinuity analysis — the persistence—connectivity problem, in Comprehensive Rock Engineering, volume 3 (ed. J. A. Hudson), Pergamon, Oxford, pp. 193–213.

    Google Scholar 

  • Henle, M. (1974) Introduction to Combinatorial Topology, W. H. Freeman and Company, San Francisco.

    Google Scholar 

  • Jing, L., Rutqvist, J., Stephansson, O., Tsang, C-F. and Kautsky, F. (1994) DECOVALEX — mathematical models of coupled T—H—M processes for nuclear waste repositories, Phase II Report. SKI Report 94: 16, Swedish Nuclear Power Inspectorate.

    Google Scholar 

  • Jing, L. and Stephansson, O. (1994a) Topological identification of block assemblages for jointed rock masses. International Journal of Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 31, 163–72.

    Article  Google Scholar 

  • Jing, L. and Stephansson, O. (1994b) Identification of block topology for jointed rock masses using boundary operators. Proceedings of the IV CSMR: integrated approach to applied rock mechanics, Santiago, Chile, 10–14 May, 1994, Sociedad Chilena de Geotecnia, Santiago, Chile, pp. 19–29.

    Google Scholar 

  • Lemos, J. (1988) A distinct element model for dynamic analysis of jointed rock with application to dam foundation and fault motion. PhD thesis. University of Minnesota, MN, USA.

    Google Scholar 

  • Lin, D., Fairhurst, C. and Starfield, A. M. (1987) Geometrical identification of three-dimensional rock block systems using topological techniques. International Journal of Rock Mechanics and Mining Sciences and Geomechanical Abstracts, 24, 331–8.

    Article  Google Scholar 

  • Long, J. C. S., Remer, J. S., Wilson, C. R. and Witherspoon, P. A. (1982) Porous media equivalents for networks of discontinuous fractures. Water Resources Research, 18, 645–58.

    Article  Google Scholar 

  • Low, L. S. (1986) Parametric studies in fracture geometry. MA thesis, MIT, Cambridge, MA.

    Google Scholar 

  • Oda, M. (1985) Permeability tensor for discontinuous rock masses. Geomechanique, 35, 483–95.

    Article  Google Scholar 

  • Robinson, P. C. (1984) Connectivity, flow and transport in network models of fractured media. PhD thesis, Oxford University, UK.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Chapman & Hall

About this chapter

Cite this chapter

Jing, L., Stephansson, O. (1997). Network Topology and Homogenization of Fractured Rocks. In: Jamtveit, B., Yardley, B.W.D. (eds) Fluid Flow and Transport in Rocks. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1533-6_11

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1533-6_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7184-0

  • Online ISBN: 978-94-009-1533-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics