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We study a new fully averaged poroelastic Kirchhoff plate model coupled with the flow of an incompressible, viscous fluid governed by the time-dependent Stokes equations. The fully averaged formulation offers several advantages over the…

偏微分方程分析 · 数学 2026-05-20 Felix Brandt , Sunčica Čanić , Andrew Scharf , Josip Tambača

We develop a computational model to study the interaction of a fluid with a poroelastic material. The coupling of Stokes and Biot equations represents a prototype problem for these phenomena, which feature multiple facets. On one hand it…

数值分析 · 数学 2023-07-19 Martina Bukac , Ivan Yotov , Rana Zakerzadeh , Paolo Zunino

In the last decades, significant progress has been made in understanding the multiphase displacement through porous media with homogeneous wettability and its relation to the pore geometry. However, the role of wettability at the scale of…

软凝聚态物质 · 物理学 2012-06-01 Marta S. de La Lama , Martin Brinkmann

Consider the consolidation process typical of soils, this phenomenon is expected not to exhibit a unique state of equilibrium, depending on the \textit{external loading} and the constitutive parameters. Beyond the standard solution, also…

材料科学 · 物理学 2015-05-18 E. N. M. Cirillo , N. Ianiro , G. Sciarra

In conventional formulations of poroelasticity, when the porosity approaches zero or vanishes in some parts of the poroelastic domain, if only temporarily, the governing equations degenerate to those for the solid phase thereby inhibiting a…

流体动力学 · 物理学 2025-10-29 Mohammad Jannesari , Beatrice Ghitti , Bruce J. Gluckman , Francesco Costanzo

This study presents a Eulerian theory to elucidate the molecular kinematics in polymer networks and their connection to continuum deformation, grounded in fundamental statistical physics and thermodynamics. Three key innovations are…

软凝聚态物质 · 物理学 2025-07-16 Siyu Wang , Heng Xiao , Lin Zhan

A stochastic approach to the filling dynamics of an open topology porous structure permeated with a perfectly wetting fluid is presented. From the discrete structure of the disordered voids network with only nearest neighbors links, we…

软凝聚态物质 · 物理学 2020-01-22 Robert Bouzerar , Issyan Tekaya , Roger Bouzerar

The parameters in the governing system of partial differential equations of multicompartmental poroelastic models typically vary over several orders of magnitude making its stable discretization and efficient solution a challenging task. In…

数值分析 · 数学 2018-06-12 Qinggou Hong , Johannes Kraus , Maria Lymbery , Fadi Philo

The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks and can be used to study complex poromechanical interactions in geophysics, biophysics…

数值分析 · 数学 2021-12-28 Q. Hong , J. Kraus , M. Kuchta , M. Lymbery , K. A. Mardal , M. E. Rognes

Film flow through networks of corners and capillary bridges can establish connections between seemingly isolated clusters during drainage in porous media. Coupled with drainage through the bulk of pores and throats, the flow through these…

Apparent liquid permeability (ALP) in ultra-confined permeable media is primarily governed by the pore confinement and fluid-rock interactions. A new ALP model is required to predict the interactive effect of the above two on the flow in…

流体动力学 · 物理学 2020-10-21 Dian Fan , Amin Ettehadtavakkol , Wendong Wang

Precipitation and dissolution are prime processes in carbonate rocks and being able to monitor them is of major importance for aquifer and reservoir exploitation or environmental studies. Electrical conductivity is a physical property…

地球物理 · 物理学 2020-09-01 Flore Rembert , Damien Jougnot , Luis Guarracino

We study a finite element computational model for solving the coupled problem arising in the interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is governed by the Stokes equations, while the flow in the…

数值分析 · 数学 2017-10-19 Ilona Ambartsumyan , Eldar Khattatov , Ivan Yotov , Paolo Zunino

Bioconvection, a phenomenon arising from the collective motion of motile microorganisms, plays a crucial role in shaping microbial distributions, fluid dynamics, and bloom formation in aquatic environments. While extensive research has…

生物物理 · 物理学 2025-04-15 Samarendu Biswas , Sachidananda Mahato , Jayabrata Dhar

Vapor adsorption experiments are widely used to assess pore size distributions, but the large hysteresis sometimes observed between sorption and desorption isotherms remains difficult to interpret. Such hysteresis is influenced pore network…

材料科学 · 物理学 2018-07-03 Matthew B. Pinson , Tingtao Zhou , Hamlin M. Jennings , Martin Z. Bazant

Values of water permeability for cementitious materials reported in the literature show a large scatter. This is partially attributed to the fact that materials used in different studies are different. To eliminate the effects of cements,…

应用物理 · 物理学 2018-10-23 Zhidong Zhang , George Scherer

In this work we present a new conceptual model to describe fluid flow in a porous media system in presence of a large fault. Geological faults are often modeled simply as interfaces in the rock matrix, but they are complex structure where…

数值分析 · 数学 2019-03-05 Alessio Fumagalli , Anna Scotti

Fluid transport in porous materials is commonly studied in geological samples (soil, sediments etc.) or idealized systems, but the fluid flow through compacted granular materials, consisting of substantially strained granules, remains…

软凝聚态物质 · 物理学 2019-02-13 Pawel Gniewek , Oskar Hallatschek

Dynamic crack branching in unsaturated porous media holds significant relevance in various fields, including geotechnical engineering, geosciences, and petroleum engineering. This article presents a numerical investigation into dynamic…

数值分析 · 数学 2024-01-10 Hossein Pashazad , Xiaoyu Song

Bayesian approaches are one of the primary methodologies to tackle an inverse problem in high dimensions. Such an inverse problem arises in hydrology to infer the permeability field given flow data in a porous media. It is common practice…

统计方法学 · 统计学 2023-10-02 Navid Shervani-Tabar