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Related papers: On A Saturated Poromechanical Framework and Its Re…

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We develop a framework for constitutive modeling of unsaturated soils that has the embedded elements of lower scale grain to grain contacts. Continuum models developed from this framework will possess two different phases idealizing the…

Soft Condensed Matter · Physics 2014-01-28 Giang D. Nguyen , Yixiang Gan

The paper provides a macro-microscopic coupled constitutive model for fluid-saturated porous media with respect to the compressibility of the solid skeleton, the real solid material and the fluid phase. The derivation of the model is…

Geophysics · Physics 2022-04-27 Jia-Yu Liang , Yue-Ming Li , Erich Bauer

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

Geophysics · Physics 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

In order to reveal the coupling effect among the chemical activity and the hydraulic seepage as well as the mechanical properties, a constitutive theoretical framework considering the chemical activity for saturated porous media is derived…

Soft Condensed Matter · Physics 2023-03-21 Ya-yuan Hu , Shu-hang Yuan

A poromechanical model of partially saturated deformable porous media is proposed based on a phase field approach at modeling the behavior of the mixture of liquid water and wet air, which saturates the pore space, the phase field being the…

Soft Condensed Matter · Physics 2016-06-22 Giulio Sciarra

Transport phenomena in porous media are commonplace in our daily lives. Examples and applications include heat and moisture transport in soils, baking and drying of food stuffs, curing of cement, and evaporation of fuels in wild fires. Of…

Chemical Physics · Physics 2013-05-13 Eric Sullivan

This paper introduces a model for the mechanical response of anisotropic soft materials undergoing large inelastic deformations. The composite is constituted by a soft isotropic matrix reinforced with stiff fibres, that can evolve…

Soft Condensed Matter · Physics 2022-07-25 Jacopo Ciambella , Paola Nardinocchi

We present a thermodynamically consistent constitutive model for fluid-saturated sediments, spanning dense to dilute regimes, developed from the basic balance laws for two phase-mixtures. The model can represent various limiting cases, such…

Soft Condensed Matter · Physics 2021-05-18 Aaron S. Baumgarten , Ken Kamrin

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…

Analysis of PDEs · Mathematics 2012-12-06 Abdelhamid Ainouz

The paper presents a new macroelement model for shallow foundations. The model is defined through a non-linear constitutive law written in terms of some generalized force and displacement parameters. The linear part of this constitutive law…

Classical Physics · Physics 2008-02-05 Charisis Chatzigogos , Alain Pecker , J. Salençon

Double porosity models for the liquid filtration in a naturally fractured reservoir is derived from the homogenization theory. The governing equations on the microscopic level consist of the stationary Stokes system for an incompressible…

Analysis of PDEs · Mathematics 2009-03-05 Anvarbek Meirmanov

We present a continuum (i.e., an effective) description of immiscible two-phase flow in porous media characterized by two fields, the pressure and the saturation. Gradients in these two fields are the driving forces that move the immiscible…

Fluid Dynamics · Physics 2022-02-22 Subhadeep Roy , Håkon Pedersen , Santanu Sinha , Alex Hansen

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…

Analysis of PDEs · Mathematics 2019-09-17 Jakub Wiktor Both , Iuliu Sorin Pop , Ivan Yotov

In this paper, we propose a new multiphysics finite element method for a Biot model with secondary consolidation in soil dynamics. To better describe the processes of deformation and diffusion underlying in the original model, we…

Numerical Analysis · Mathematics 2022-04-08 Zhihao Ge , Wenlong He

Constitutive equations of unsaturated soils are often derived in a thermodynamically consistent framework through the use a unique 'effective' interstitial pressure. This later is naturally chosen as the space averaged interstitial…

Geophysics · Physics 2010-10-14 O. Coussy , Jean-Michel Pereira

We develop a mixed finite element method for the coupled problem arising in the interaction between a free fluid governed by the Stokes equations and flow in deformable porous medium modeled by the Biot system of poroelasticity. Mass…

Numerical Analysis · Mathematics 2021-12-16 Tongtong Li , Ivan Yotov

A linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov

A key challenge in multiphase flow through porous media is to understand and predict the conditions under which trapped fluid clusters become mobilized. Here, we investigate the stability of such clusters in two-phase flow and present a…

Fluid Dynamics · Physics 2025-10-21 Mathias Klahn , Gaute Linga , Tanguy Le Borgne , Joachim Mathiesen

A two-phase model and its application to wavefields numerical simulation are discussed in the context of modeling of compressible fluid flows in elastic porous media. The derivation of the model is based on a theory of thermodynamically…

Fluid Dynamics · Physics 2020-06-11 Evgeniy Romenski , Galina Reshetova , Ilya Peshkov , Michael Dumbser

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…

Soft Condensed Matter · Physics 2020-01-22 Robert Bouzerar , Issyan Tekaya , Roger Bouzerar
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