Ellipsoidal anisotropy in elasticity for rocks and rock masses

Details Ellipsoidal anisotropy in elasticity for rocks and rock masses Ellipsoidal anisotropy in elasticity for rocks and rock masses

2011-03-15

arxiv.org/abs/1103.3033v1

Physics

Geophysics

ISRM2007, 11th Congress of the International Society for Rock Mechanics, Lisbon : Portugal (2007)

Scientific paper

One of the interesting features with the ellipsoidal models of anisotropy presented in this paper is their acceptance of analytical solutions for some of the basic elasticity problems. It was shown by Pouya (2000) and Pouya and Zaoui (2006) that many closed-form solutions for basic problems involving linear isotropic materials could be extended by linear transformation to cover a variety of "ellipsoidal" materials. This paper will describe two main varieties of ellipsoidal elastic models and show how well they fit the in situ data for sedimentary rocks; numerical homogenization results for several varieties of fractured rock masses will also be provided.

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