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  • We consider periodically heterogeneous fluid-saturated poroelastic media described by the Biot model with inertia effects. The weak and semistrong formulations for displacement, seepage and pressure fields involve three equations expressing the momentum and mass balance and the Darcy law. Using the two-scale homogenization method, we obtain the limit two-scale problem and prove the existence and uniqueness of its weak solutions. The Laplace transformation in time is used to decouple the macroscopic and microscopic scales. It is shown that the seepage velocity is eliminated from the macroscopic equations involving strain and pressure fields only. The plane harmonic wave propagation is studied using an example of layered medium. Illustrations show some influence of the orthotropy on the dispersion phenomena.
  • We consider periodically heterogeneous fluid-saturated poroelastic media described by the Biot model with inertia effects. The weak and semistrong formulations for displacement, seepage and pressure fields involve three equations expressing the momentum and mass balance and the Darcy law. Using the two-scale homogenization method, we obtain the limit two-scale problem and prove the existence and uniqueness of its weak solutions. The Laplace transformation in time is used to decouple the macroscopic and microscopic scales. It is shown that the seepage velocity is eliminated from the macroscopic equations involving strain and pressure fields only. The plane harmonic wave propagation is studied using an example of layered medium. Illustrations show some influence of the orthotropy on the dispersion phenomena. (en)
Title
  • Homogenization of elastic waves in fluid-saturated porous media using the biot model
  • Homogenization of elastic waves in fluid-saturated porous media using the biot model (en)
skos:prefLabel
  • Homogenization of elastic waves in fluid-saturated porous media using the biot model
  • Homogenization of elastic waves in fluid-saturated porous media using the biot model (en)
skos:notation
  • RIV/49777513:23520/13:43918716!RIV14-MSM-23520___
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  • P(ED1.1.00/02.0090), P(GAP101/12/2315)
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  • 5
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  • 77999
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  • RIV/49777513:23520/13:43918716
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  • dispersion; Biot model; wave propagation; periodic media; homogenization; Fluid-saturated porous media (en)
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  • SG - Singapurská republika
http://linked.open...ontrolniKodProRIV
  • [EFBA23E0DF8F]
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  • MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
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http://linked.open...v/svazekPeriodika
  • 23
http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
  • Mielke, Alexander
issn
  • 0218-2025
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S0218202512500637
http://localhost/t...ganizacniJednotka
  • 23520
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