2011/03/15 by Ahmad Pouya, Pouya, Ahmad, Michel Chalhoub +1
Earth and Planetary Sciences · Engineering · #Drilling and Well Engineering #FOS: Physical sciences #Geophysics (physics.geo-ph) #Rock Mechanics and Modeling #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.1103.3033
openalex publication_date 2011/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.