Summary
The properties of quadrics of stress and strain, which were derived from the eigenvectors of the matrix of elastic constants, are analysed for a medium with orthorhombic or higher symmetry. It was found that the orientation of the axes of the quadrics can be employed to determine the crystallographic axes of the medium. This formalism derived for minerals is used for finding the axes of the internal symmetry of a rock for which we assume a distribution close to that of the orthorhombic system with a view to the spatial distribution of P-wave velocities.
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References
M. Brdička: Mechanika kontinua. NČSAV, Praha 1959.
R. F. S. Hearmon: An Introduction to Applied Anisotropic Elasticity. The Calderon Press, Oxford 1961.
M. Kumazawa, O. L. Anderson: Elastic Moduli, Pressure Derivatives, and Temperature Derivatives of Single-Crystal Olivine and Single-Crystal Forsterite. J. Geoph. Res., 74 (1969), 5961.
K. E. Bullen: An Introduction to the Theory of Seismology. The Univ. Press, Cambridge 1963.
K. Klíma, V. Babuška: Determination of Elastic Constants of Marbles. In High Pressure and Temperature Studies of Physical Properties of Rocks and Minerals, Naukova Dumka, Kiev 1977, 88.
Z. Pros, V. Babuška: A Method for Investigating Elastic Anisotropy on Spherical Rock Samples. Zschr. f. Geoph., 33 (1967), 289.
K. Klíma: The Computation of Elastic Constants of an Anisotropic Medium from the Velocites of Body Waves. Studia geoph. et geod., 17 (1973), 115.
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Klíma, K., Pros, Z. Search for orthorhombic or higher symmetry in rocks. Stud Geophys Geod 25, 245–261 (1981). https://doi.org/10.1007/BF01591936
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DOI: https://doi.org/10.1007/BF01591936