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A model of wave propagation in homogenized Biot medium with dual porosity
in deforming elastic skeleton is governed by the Biot-Darcy model extended by inertia terms. In this paper we deal with upscaling the Biot-Darcy model from the mesoscopic level, whereWe describe a macroscopic ...
JI - Kompositní materiály
- 2014 •
- O
Rok uplatnění
O - Ostatní výsledky
Multicompartment Biot-Darcy-Brinkman models of flow in deformable double porous media: application to the liver tissue perfusion
The newly developed Biot-Darcy-double-Brinkman (BD2B) model is described in the paper; it arises from a two-stage homogenization of the fluid-structure interaction veins. We compare steady state responses of the BD2B model ...
Applied mechanics
- 2019 •
- O
Rok uplatnění
O - Ostatní výsledky
Modelling of Displacement Washing of Pulp Bed
The mechanism of displacement washing of pulp fiber bed is described using an axial dispersion model involving the Péclet and Biot numbers. Model equations have been solved using orthogonal collocation on finite elements us...
CI - Průmyslová chemie a chemické inženýrství
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Homogenization-based modelling of wave propagation in the Biot medium with large contrasts in the permeability and poroelastic coefficients
The paper deals with the modelling of dynamics and wave propagation in fluid coefficients. The effective behaviour is described using a model obtained using the homogenization of the heterogeneous Biot continuum relevant to...
Applied mechanics
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Optimization of the porous material described by the Biot model
level, the porous material is described by the Biot model defined in terms of the effective medium coefficients, involving the drained skeleton elasticity, the Biot stress coupling, the Biot compressibility coeffi...
Applied mechanics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Algebraic preconditioning for Biot-Barenblatt poroelastic systems
elasticity, the fluid flow is modelled as Darcy flow. The main focus is on the Biot-Barenblatt model with double porosity/double permeability flow, which distinguishes flow preconditionings to systems arising from the disc...
Applied mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Multiscale modelling and simulations of tissue perfusion using the Biot-Darcy-Brinkman model
We introduce a new mathematical model enabling to describe tissue perfusion whereby the microstructure is respected by virtue of effective model parameters. The proposed model entitled Biot-Darcy-multi-Brinkman (BD...
Applied mechanics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Modelling of Displacement Washing of Pulp Bed Using Orthogonal Collocation on Finite Elements
Mechanism of displacement washing of packed bed of porous fibres is presented with the help of an axial dispersion model involving Péclet number and Biot number. Model equations have been solved using orthogonal collocation...
JJ - Ostatní materiály
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Modeling flows in periodically heterogenous porous media with deformation-dependent permeability
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
JI - Kompositní materiály
- 2013 •
- D
Rok uplatnění
D - Stať ve sborníku
Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts
of the whole two-scale modeling is reduced substantially. We consider the deforming porous fluid saturated media described by the Biot model. The proposed modeling approaches in the Biot continuum is intr...
BK - Mechanika tekutin
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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