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The “small-world” topology of rock fracture networks

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  • Valentini, Luca
  • Perugini, Diego
  • Poli, Giampiero

Abstract

In this contribution we show that natural rock fracture networks, acting as media for the delivery of a variety of geological fluids, can be studied by using the principles of complex systems. Natural networks at different length scales (from the metre to the micrometer) have been analysed by evaluating their connectivity at global and local scale and results show that they share topological properties of “small-worlds”, a class of networks characterised by high global and local transport efficiency. This may have important geological implications for a variety of geological processes related to the transfer of fluids within the Earth, from the delivery of magmas to the Earth surface to the dispersion of pollutants in shallow aquifers.

Suggested Citation

  • Valentini, Luca & Perugini, Diego & Poli, Giampiero, 2007. "The “small-world” topology of rock fracture networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 323-328.
  • Handle: RePEc:eee:phsmap:v:377:y:2007:i:1:p:323-328
    DOI: 10.1016/j.physa.2006.11.025
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    References listed on IDEAS

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    1. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo & Rapisarda, Andrea, 2004. "Error and attack tolerance of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 388-394.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
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    Cited by:

    1. Estrada, Ernesto & Sheerin, Matthew, 2017. "Random neighborhood graphs as models of fracture networks on rocks: Structural and dynamical analysis," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 360-379.
    2. Ghaffari, H.O. & Sharifzadeh, M. & Young, R. Paul, 2013. "Complex aperture networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 1028-1037.

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