"Modeling flows in periodically heterogenous porous media with deformation-dependent permeability" . . "Rohan, Eduard" . "RIV/49777513:23520/13:43919375!RIV14-MZ0-23520___" . . "P(ED1.1.00/02.0090), P(NT13326)" . . "Cimrman, Robert" . . . . "CIMNE" . "Poroelasticity, Homogenization, Nonlinear Biot Model, Sensitivity Analysis"@en . "We adapt the classical Biot model of poroelastic media for situations when the deformation has a significant influence on the permeability tensor controlling the seepage flow and on the other poroelastic coefficients. The Biot model is derived under the assumption of small strains using the homogenization of the fluid-structure interaction problem for a periodic medium involving elastic skeleton with pore fluid, whereby the Darcy flow law is obtained by homogenizing the Stokes flow. To derive the extended theory involving solution-dependent coefficients, the sensitivity computations are performed w.r.t. the microscopic field of displacements associated with the solid skeleton. By virtue of the homogenization scheme, this field can be expressed as a linear function of the macroscopic strain and pore pressure. As the result, the homogenized model of the poroelastic medium is modified by using effective coefficients which are linear functions of the macroscopic response." . . "23520" . "[31D20B6D8637]" . . "Luke\u0161, Vladim\u00EDr" . . "2"^^ . "Barcelona, Spain" . "Modeling flows in periodically heterogenous porous media with deformation-dependent permeability"@en . "2013-09-03+02:00"^^ . "12"^^ . "We adapt the classical Biot model of poroelastic media for situations when the deformation has a significant influence on the permeability tensor controlling the seepage flow and on the other poroelastic coefficients. The Biot model is derived under the assumption of small strains using the homogenization of the fluid-structure interaction problem for a periodic medium involving elastic skeleton with pore fluid, whereby the Darcy flow law is obtained by homogenizing the Stokes flow. To derive the extended theory involving solution-dependent coefficients, the sensitivity computations are performed w.r.t. the microscopic field of displacements associated with the solid skeleton. By virtue of the homogenization scheme, this field can be expressed as a linear function of the macroscopic strain and pore pressure. As the result, the homogenized model of the poroelastic medium is modified by using effective coefficients which are linear functions of the macroscopic response."@en . "3"^^ . . "978-84-941531-5-0" . . "Modeling flows in periodically heterogenous porous media with deformation-dependent permeability"@en . . . "88839" . "Barcelona" . "RIV/49777513:23520/13:43919375" . "Modeling flows in periodically heterogenous porous media with deformation-dependent permeability" . . "Computational Plasticity XII - Fundamentals and Applications" . . . . . . .