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Providing a sound appraisal of the nature of the relationship between flow $(Q)$ and pressure drop $(\Delta P)$ for porous media is a long-standing fundamental research challenge. A wide variety of environmental, societal and industrial…

流体动力学 · 物理学 2024-06-06 Wenqiao Jiao , David Scheidweiler , Nolwenn Delouche , Alberto Guadagnini , Pietro de Anna

We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin, linear, poroelastic plate layer (in direct contact with the free…

偏微分方程分析 · 数学 2021-08-17 Lorena Bociu , Sunčica Čanić , Boris Muha , Justin T. Webster

Permeability is a central concept in the macroscopic description of flow through porous media, with applications spanning from oil recovery to hydrology. Traditional methods for determining the permeability tensor involving flow simulations…

流体动力学 · 物理学 2025-12-02 Sigurd Vargdal , Paula Reis , Henrik Andersen Sveinsson , Gaute Linga

Quantitative structure-property relationships are crucial for the understanding and prediction of the physical properties of complex materials. For fluid flow in porous materials, characterizing the geometry of the pore microstructure…

软凝聚态物质 · 物理学 2020-09-21 Magnus Röding , Zheng Ma , Salvatore Torquato

The permeability of a porous medium is strongly affected by its local geometry and connectivity, the size distribution of the solid inclusions and the pores available for flow. Since direct measurements of the permeability are time…

流体动力学 · 物理学 2012-05-15 I. Zinovik , D. Poulikakos

This study addresses the issue of whether or not a normal distribution appropriately represents permeability variations. To do so, (i) the distribution of local fibre volume fraction for each tow is experimentaly determined by estimation of…

软凝聚态物质 · 物理学 2016-01-13 Masoud Bodaghi , Salimeh Yasaei , Nuno Correia

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

流体动力学 · 物理学 2021-09-22 Francisco J. Carrillo

In the study of packed granular materials, the performance of a sample (e.g., the detonation of a high-energy explosive) often correlates to measurements of a fluid flowing through it. The "effective surface area," the surface area…

Compressing a porous material will decrease the volume of the pore space, driving fluid out. Similarly, injecting fluid into a porous material can expand the pore space, distorting the solid skeleton. This poromechanical coupling has…

流体动力学 · 物理学 2016-05-04 Christopher W. MacMinn , Eric R. Dufresne , John S. Wettlaufer

Compressing a porous, fluid-filled material will drive the interstitial fluid out of the pore space, as when squeezing water out of a kitchen sponge. Inversely, injecting fluid into a porous material can deform the solid structure, as when…

软凝聚态物质 · 物理学 2015-02-25 Christopher W. MacMinn , Eric R. Dufresne , John S. Wettlaufer

In this paper we present the two-level homogenization of the flow in a deformable double-porous structure described at two characteristic scales. The higher level porosity associated with the mesoscopic structure is constituted by channels…

计算物理 · 物理学 2020-06-30 Eduard Rohan , Jana Turjanicová , Vladimír Lukeš

We attempt to formalise the relationship between the poroelasticity theory and the effective medium theory of micromechanics. The assumptions of these two approaches vary, but both can be linked by considering the undrained response of a…

地球物理 · 物理学 2023-03-09 Filip P. Adamus , David Healy , Philip G. Meredith , Thomas M. Mitchell

We analyze a quasi-static Biot system of poroelasticity for both compressible and incompressible constituents. The main feature of this model is a nonlinear coupling of pressure and dilation through the system's permeability tensor. Such a…

偏微分方程分析 · 数学 2021-03-23 Lorena Bociu , Justin T. Webster

The paper addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distibuted poroelastic inclusions, with low permeabilities and with imperfect…

偏微分方程分析 · 数学 2012-12-06 Abdelhamid Ainouz

Vugs are small to medium-sized cavities inside rock, which have significant effects on the fluid flow in rock. Moreover, the presence of vugs may have non-trivial impacts on the geomechanical behavior of rock. How to quantify and analyze…

计算物理 · 物理学 2018-04-13 Zhaoqin Huang , Xu Zhou , Tao Huang , Jun Yao , Xiaoguang Wang , Hervé Jourde

Flow-induced failure of granular materials is relevant to a broad range of geomechanical applications. Plasticity, which is the inherent failure mechanism of most granular materials, enables large deformations that can invalidate linearised…

应用物理 · 物理学 2019-08-26 Lucy C. Auton , Christopher W. MacMinn

We investigate the possibility to extract information contained in seismic waveforms propagating in fluid-filled porous media by developing and using a full waveform inversion procedure valid for layered structures. To reach this objective,…

地球物理 · 物理学 2010-01-19 Louis De Barros , Michel Dietrich

In this article we investigate the permeability of a porous medium as given in Darcy's law. The permeability is described by an effective hydraulic pore radius in the porous medium, the fluctuation in local hydraulic pore radii, the length…

流体动力学 · 物理学 2015-05-12 Carl Fredrik Berg

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…

数值分析 · 数学 2019-02-05 Ilona Ambartsumyan , Vincent J. Ervin , Truong Nguyen , Ivan Yotov

The paper deals with modelling fluid saturated porous media subject to large deformation. An Eulerian incremental formulation is derived using the problem imposed in the spatial configuration in terms of the equilibrium equation and the…

数值分析 · 数学 2018-01-17 Eduard Rohan , Vladimír Lukeš
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