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3 - Stresses in Rocks

Published online by Cambridge University Press:  19 November 2021

Nikolai Bagdassarov
Nikolai Bagdassarov
Affiliation:
Goethe-Universität Frankfurt Am Main
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Summary

Scales of rock heterogeneity are nano≪micro ≪ meso ≪ macro. In order to estimate effective physical parameters by using an averaging procedure over a certain representative reference volume, estimations of effective physical parameters may be done by taking the Reuss or the Voigt mean values or using the upper and lower Hashin–Shtrikman bounds. The fracture number per unit length of a rock is correlated with the rock quality or RQD index. Autorun analysis of rock fractures in scanlines yields a consistent criterion of rock quality. The stress tensor is defined in a symmetric matrix. In diagonal form, the elements of the stress matrix are principal normal stresses. The Mohr’s circle in 2D and 3D is used to define normal and tangential stress in an arbitrarily oriented plane. The strength of rocks depends on modes of deformation according to the failure criteria after Mohr-Coulomb, Griffith, and Hoek and Brown. The ISRM standard and four point bending tests of rock strength are designed to determine yield strength. Fracturing and failure modes in rocks are considered according to tensile fracture models after Griffith, Dugdale, Barenblatt and critical tip opening displacement. Focus Box 3.1: Percolation models in rocks.

Keywords

Scales and types of rock heterogeneitiesRQD indexstress tensoryield stress and strengthISRM standard testfracturing and failurefracture modes.
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Fundamentals of Rock Physics , pp. 66 - 112
Publisher: Cambridge University Press
Print publication year: 2021

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References

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  • Stresses in Rocks
  • Nikolai Bagdassarov, Goethe-Universität Frankfurt Am Main
  • Book: Fundamentals of Rock Physics
  • Online publication: 19 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108380713.004
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  • Stresses in Rocks
  • Nikolai Bagdassarov, Goethe-Universität Frankfurt Am Main
  • Book: Fundamentals of Rock Physics
  • Online publication: 19 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108380713.004
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  • Stresses in Rocks
  • Nikolai Bagdassarov, Goethe-Universität Frankfurt Am Main
  • Book: Fundamentals of Rock Physics
  • Online publication: 19 November 2021
  • Chapter DOI: https://doi.org/10.1017/9781108380713.004
Available formats
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