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Soft porous materials, such as biological tissues and soils, are exposed to periodic deformations in a variety of natural and industrial contexts. The detailed flow and mechanics of these deformations have not yet been systematically…

流体动力学 · 物理学 2023-06-30 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

Understanding particle transport and localisation in porous channels, especially at moderate Reynolds numbers, is relevant for many applications ranging from water reclamation to biological studies. Recently, researchers experimentally…

流体动力学 · 物理学 2019-01-30 Mike Garcia , Baskar Ganapathysubramanian , Sumita Pennathur

In this paper, we propose a new formulation and a suitable finite element method for the steady coupling of viscous flow in deformable porous media using divergence-conforming filtration fluxes. The proposed method is based on the use of…

We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes…

We consider a poromechanics model including frictionless contact mechanics. The resulting model consists of the Biot equations with contact boundary conditions leading to a variational inequality modelling mechanical deformations coupled to…

数值分析 · 数学 2024-07-19 Tameem Almani , Kundan Kumar

Accurate simulation of fluid flow in porous media is challenging due to complex pore-space geometries and the computational cost of solving the Navier-Stokes equations. This difficulty is particularly important when repeated simulations are…

机器学习 · 计算机科学 2026-05-21 Rafał Topolnicki , Paweł Dłotko , Maciej Matyka

Significant progress has been made for assessing the influence of porosity on the performance metrics for cast components through various modeling techniques. However, a computationally efficient framework to account for porosity with…

计算工程、金融与科学 · 计算机科学 2022-04-05 Shiguang Deng , Carl Soderhjelm , Diran Apelian , Krishnan Suresh

We prove existence of weak solutions to a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly couples Biot's equations for poroelasticity, including…

偏微分方程分析 · 数学 2024-08-27 Helmut Abels , Harald Garcke , Jonas Haselböck

We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressible Stokes equations. We propose a diffuse interface model in…

数值分析 · 数学 2024-07-09 Francis R. A. Aznaran , Martina Bukač , Boris Muha , Abner J. Salgado

The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing, and so on. Current applications of interest, for instance,…

偏微分方程分析 · 数学 2022-01-03 Mina Karimi , Mehrdad Massoudi , Noel Walkington , Matteo Pozzi , Kaushik Dayal

This study investigates the coupled deformation and flow behavior of thin, hyper-elastic, porous membranes subjected to pressure loading. Using bulge test experiments, optical deformation measurements, and flow rate characterization, we…

流体动力学 · 物理学 2026-01-19 Alexander Gehrke , Zoe King , Kenneth S. Breuer

In this paper, we consider unsaturated poroelasticity, i.e., coupled hydro-mechanical processes in unsaturated porous media, modeled by a non-linear extension of Biot's quasi-static consolidation model. The coupled, elliptic-parabolic…

偏微分方程分析 · 数学 2019-09-17 Jakub Wiktor Both , Iuliu Sorin Pop , Ivan Yotov

We study how the dynamics of a drying front propagating through a porous medium are affected by small-scale correlations in material properties. For this, we first present drying experiments in micro-fluidic micro-models of porous media.…

软凝聚态物质 · 物理学 2018-12-26 Soumyajyoti Biswas , Paolo Fantinel , Oshri Borgman , Ran Holtzman , Lucas Goehring

We study the distributions of channel openings, local fluxes, and velocities in a two-dimensional random medium of non-overlapping disks. We present theoretical arguments supported by numerical data of high precision and find scaling laws…

流体动力学 · 物理学 2009-11-11 Ascânio D. Araújo , Wagner B. Bastos , José S. Andrade , Hans J. Herrmann

Wettability is a pore-scale property that impacts the relative movement and distribution of fluids in a porous medium. There are reservoir fluids that provoke the surface within pores to undergo a wettability change. This wettability…

地球物理 · 物理学 2020-08-18 Abay M. Kassa , Sarah E. Gasda , K. Kumar , F. A. Radu

We study the interaction between an incompressible, viscous, Newtonian fluid and a multilayered structure, which consists of a thin elastic layer and a thick poroelastic material. The thin layer is modeled using the linearly elastic Koiter…

数值分析 · 数学 2013-08-22 Martina Bukac , Paolo Zunino , Ivan Yotov

In the popular solution-diffusion picture, the membrane permeability is defined as the product of the partition ratio and the diffusivity of penetrating solutes inside the membrane in the linear response regime, i.e., in equilibrium.…

软凝聚态物质 · 物理学 2022-08-25 Won Kyu Kim , Sebastian Milster , Rafael Roa , Matej Kanduč , Joachim Dzubiella

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

物理与社会 · 物理学 2015-07-10 Filippo Radicchi

The percolation of a liquid through a porous material is investigated with the help of equations of the Onsager type. An expression is derived for the molecular attraction, starting from Sutherland's potential approximation to the van der…

其他凝聚态物理 · 物理学 2015-05-13 D. Mostacci , V. Molinari , M. Premuda

Present work attempts to identify the roles of flow- and geometric-variables on the scaling factor which is a necessary parameter for modeling the apparent viscosity of non-Newtonian fluid in porous media. While idealizing the porous media…

流体动力学 · 物理学 2021-02-11 Jithin M. , Nimish Kumar , Ashoke De , Malay K. Das