Abstract
A fluid-saturated poroelastic isotropic medium with aligned fractures behaves as a transversely isotropic and viscoelastic (TIV) medium when the predominant wavelength is much larger than the average distance between fractures. Here fractures are modeled as extremely thin and compliant porous layers. P-waves travelling in this type of medium generate fluid flow and slow (diffusion) Biot waves, causing attenuation and dispersion of the fast modes (mesoscopic loss). This chapter presents a set of compressibility and shear time-harmonic experiments on highly heterogeneous fractured poroelastic samples to determine the five complex and frequency dependent stiffnesses characterizing the equivalent TIV medium. These experiments are identified with boundary-value problems which solutions are computed using the finite element procedures.
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© 2016 Springer International Publishing AG
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Santos, J.E., Gauzellino, P.M. (2016). The meso-scale. Fractures as thin layers in Biot media and induced anisotropy. In: Numerical Simulation in Applied Geophysics. Lecture Notes in Geosystems Mathematics and Computing. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48457-0_8
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DOI: https://doi.org/10.1007/978-3-319-48457-0_8
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-48456-3
Online ISBN: 978-3-319-48457-0
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