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Order of Intermittent Rock Fractured Surfaces

Author

Listed:
  • Saeed Aligholi

    (Institute of Innovation, Science and Sustainability, Federation University Australia, Ballarat, VIC 3350, Australia)

  • Manoj Khandelwal

    (Institute of Innovation, Science and Sustainability, Federation University Australia, Ballarat, VIC 3350, Australia)

Abstract

According to chaos theory, some underlying patterns can disclose the order of disordered systems. Here, it has been discussed that intermittency of rough rock fractured surfaces is an orderable disorder at intermediate length scales. However, this kind of disorder is more complicated than simple fractal or even multi-scaling behaviours. It is planned to deal with some multifractal spectra that systematically change as a function of the analysed domain. Accordingly, some parameters are introduced that can perfectly take into account such systematic behaviour and quantify the intermittency of the studied surfaces. This framework can be used to quantify and model the roughness of fractured surfaces as a prerequisite factor for the analysis of fluid flow in rock media as well as the shear strength of rock joints. Ultimately, the presented framework can be used for analysing the intermittency of time series and developing new models for predicting, for instance, seismic or flood events in a short time with higher accuracy.

Suggested Citation

  • Saeed Aligholi & Manoj Khandelwal, 2022. "Order of Intermittent Rock Fractured Surfaces," Sustainability, MDPI, vol. 15(1), pages 1-7, December.
  • Handle: RePEc:gam:jsusta:v:15:y:2022:i:1:p:745-:d:1021540
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    References listed on IDEAS

    as
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    2. T. Di Matteo, 2007. "Multi-scaling in finance," Quantitative Finance, Taylor & Francis Journals, vol. 7(1), pages 21-36.
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