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  • We report on the homogenization-based modeling of the fluid-solid interaction which leads to the Biot poroelastic continuum coupled with the Darcy flow. The permeability coefficients can be computed for a specific geometry of the microstructure using homogenization of the Stokes flow. To couple the flow with the deformation of the poroelastic continuum, a corrected permeability tensor is introduced using the shape sensitivity related to the microscopic configuration in a form of the 1st degree Taylor polynomial with respect to the strain and pore pressure. The two-scale model is implemented using the SfePy finite element solver and tested for simple geometries. A significant influence of the solution-dependent permeability on the actual macroscopic deformation state has been observed.
  • We report on the homogenization-based modeling of the fluid-solid interaction which leads to the Biot poroelastic continuum coupled with the Darcy flow. The permeability coefficients can be computed for a specific geometry of the microstructure using homogenization of the Stokes flow. To couple the flow with the deformation of the poroelastic continuum, a corrected permeability tensor is introduced using the shape sensitivity related to the microscopic configuration in a form of the 1st degree Taylor polynomial with respect to the strain and pore pressure. The two-scale model is implemented using the SfePy finite element solver and tested for simple geometries. A significant influence of the solution-dependent permeability on the actual macroscopic deformation state has been observed. (en)
Title
  • Deformation-dependent permeability in a model of homogenized porous medium
  • Deformation-dependent permeability in a model of homogenized porous medium (en)
skos:prefLabel
  • Deformation-dependent permeability in a model of homogenized porous medium
  • Deformation-dependent permeability in a model of homogenized porous medium (en)
skos:notation
  • RIV/49777513:23520/12:43916297!RIV13-GA0-23520___
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  • P(ED1.1.00/02.0090), P(GA106/09/0740), P(NT13326)
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  • 129881
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  • RIV/49777513:23520/12:43916297
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  • porous media modeling, homogenization, biot continuum, deformation-dependent permeability tensor, sensitivity analysis (en)
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  • [C6A180733C94]
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  • Lukeš, Vladimír
  • Rohan, Eduard
  • Rezek, Martin
http://localhost/t...ganizacniJednotka
  • 23520
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