Generalized Anisotropic Biot Model as Effective Model of Stratified Poroelastic Medium

1997 ◽  
Author(s):  
A. Bakulin ◽  
L. Molotkov
Keyword(s):  
Effective Model ◽  
Poroelastic Medium ◽  
Biot Model

scholarly journals A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media

2019 ◽  
Vol 53 (6) ◽  
pp. 1915-1955 ◽  
Author(s):  
Ilona Ambartsumyan ◽  
Vincent J. Ervin ◽  
Truong Nguyen ◽  
Ivan Yotov
Keyword(s):  
Existence And Uniqueness ◽  
Stokes Equations ◽  
Finite Element Approximation ◽  
Free Fluid ◽  
Element Approximation ◽  
Poroelastic Medium ◽  
Weak Formulation ◽  
Biot Model ◽  
Poroelastic Media ◽  
Uniqueness Of A Solution

We develop and analyze a model for the interaction of a quasi-Newtonian free fluid with a poroelastic medium. The flow in the fluid region is described by the nonlinear Stokes equations and in the poroelastic medium by the nonlinear quasi-static Biot model. Equilibrium and kinematic conditions are imposed on the interface. We establish existence and uniqueness of a solution to the weak formulation and its semidiscrete continuous-in-time finite element approximation. We present error analysis, complemented by numerical experiments.

scholarly journals A computational continuum model of poroelastic beds

2017 ◽  
Vol 473 (2199) ◽  
pp. 20160932 ◽  
Author(s):  
U. Lācis ◽  
G. A. Zampogna ◽  
S. Bagheri
Keyword(s):  
Continuum Model ◽  
Fluid Flows ◽  
Continuity Condition ◽  
Effective Model ◽  
Free Fluid ◽  
Computational Tool ◽  
Poroelastic Medium ◽  
Wide Range ◽  
Velocity Condition ◽  
Bio Engineering

Despite the ubiquity of fluid flows interacting with porous and elastic materials, we lack a validated non-empirical macroscale method for characterizing the flow over and through a poroelastic medium. We propose a computational tool to describe such configurations by deriving and validating a continuum model for the poroelastic bed and its interface with the above free fluid. We show that, using stress continuity condition and slip velocity condition at the interface, the effective model captures the effects of small changes in the microstructure anisotropy correctly and predicts the overall behaviour in a physically consistent and controllable manner. Moreover, we show that the performance of the effective model is accurate by validating with fully microscopic resolved simulations. The proposed computational tool can be used in investigations in a wide range of fields, including mechanical engineering, bio-engineering and geophysics.

An Effective Model of the Overshooting Effect for Multiple-Input Gates in Nanometer Technologies

2014 ◽  
Vol E97.A (5) ◽  
pp. 1059-1074
Author(s):  
Li DING ◽  
Zhangcai HUANG ◽  
Atsushi KUROKAWA ◽  
Jing WANG ◽  
Yasuaki INOUE
Keyword(s):  
Effective Model ◽  
Multiple Input
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