Numerical Simulation in Applied Geophysics. 1st ed. 2016
- 種類:
- 電子ブック
- 責任表示:
- by Juan Enrique Santos, Patricia Mercedes Gauzellino
- 出版情報:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2016
- 著者名:
- シリーズ名:
- Lecture Notes in Geosystems Mathematics and Computing ;
- ISBN:
- 9783319484570 [3319484575]
- 注記:
- 1.Waves in porous media -- 2.Extensions of Biot Theory -- 3.Absorbing Boundary Conditions in Viscoelastic and -- 4.Induced Anisotropy, Viscoelastic and Poroelastic -- 5.Wave Propagation in Poroelastic Media. The Finite -- 6.The Mesoscale and the Macroscale. Isotropic Case -- 7.The Mesoscale and the Macroscale. VTI Case -- 8.Wave Propagation at the Macroscale -- .
This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics. In particular, a derivation of absorbing boundary conditions in viscoelastic and poroelastic media is presented, which later is employed in the applications. The partial differential equations describing the propagation of waves in Biot media are solved using the Finite Element Method (FEM). Waves propagating in a Biot medium suffer attenuation and dispersion effects. In particular the fast compressional and shear waves are converted to slow diffusion-type waves at mesoscopic-scale heterogeneities (on the order of centimeters), effect usually occurring in the seismic range of frequencies. In some cases, a Biot medium presents a dense set of fractures oriented in preference directions. When the average distance between fractures is much smaller than the wavelengths of the travelling fast compressional and shear waves, the medium behaves as an effective viscoelastic an - ローカル注記:
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