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A micro-hydromechanical model for granular materials is presented. It combines the discrete element method (DEM) for the modeling of the solid phase and a pore-scale finite volume (PFV) formulation for the flow of an incompressible pore…

Soft Condensed Matter · Physics 2013-12-17 Emanuele Catalano , Bruno Chareyre , Eric Barthélémy

The purpose of this study is to propose a modified micromorphic continuum model for granular materials based on a micromechanics approach. In this model, Cauchy stress and the couple stress are symmetric conjugated with the symmetric strain…

Geophysics · Physics 2019-07-12 Chenxi Xiu , Xihua Chu

In various areas of science, technology, environment protection, construction, it is very important to study processes of porous materials interaction with different substances in different aggregation states. From the point of view of…

Fluid Dynamics · Physics 2017-09-19 E. G. Nikonov , M. Pavluš , M. Popovičová

In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the porous material follow a Cahn-Hilliard type evolution, with…

Mathematical Physics · Physics 2021-09-09 Erlend Storvik , Jakub Wiktor Both , Jan Martin Nordbotten , Florin Adrian Radu

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…

Computational Physics · Physics 2018-04-13 Zhaoqin Huang , Xu Zhou , Tao Huang , Jun Yao , Xiaoguang Wang , Hervé Jourde

The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore…

Computational Physics · Physics 2018-08-01 Eduard Rohan , Vladimír Lukeš

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

Bioelastomers have demonstrated tremendous value and potential in the field of tissue repair due to increasing health demands. Improved non-invasive methods are required for monitoring tissue development assisted by bioelastomers. In this…

Medical Physics · Physics 2020-03-18 Chuanyang Jiang , Yanying Zhu , Kaixuan Guo , Qing Li , Zhengwei You , Jiao Yu

Many applications of porous media research involves high pressures and, correspondingly, exchange of thermal energy between the fluid and the matrix. While the system is relatively well understood for the case of non-moving porous media,…

Fluid Dynamics · Physics 2021-07-12 François Gay-Balmaz , Vakhtang Putkaradze

When a fluid carrying a passive solute flows quickly through porous media, three key macroscale transport mechanisms occur. These mechanisms are diffusion, advection and dispersion, all of which depend on the microstructure of the porous…

Fluid Dynamics · Physics 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

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

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…

Materials Science · Physics 2015-05-18 E. N. M. Cirillo , N. Ianiro , G. Sciarra

Biot's theory predicts the wave velocities of a saturated poroelastic granular medium from the elastic properties, density and geometry of its dry solid matrix and the pore fluid, neglecting the interaction between constituent particles and…

Geophysics · Physics 2019-05-01 Hongyang Cheng , Stefan Luding , Nicolás Rivas , Jens Harting , Vanessa Magnanimo

Immiscible fluid displacement in porous media occurs in several natural and industrial processes. For example, during petroleum extraction from porous rock reservoirs, water is used to displace oil. In this paper, we investigate primary…

Fluid Dynamics · Physics 2022-02-03 M. Sedahmed , R. C. V. Coelho , H. A. Warda

Electrical conductivity is one of the most commonly used geophysical method for reservoir and environmental studies. Its main interest lies in its sensitivity to key properties of storage and transport in porous media. Its quantitative use…

Geophysics · Physics 2019-08-29 Luong Duy Thanh , Damien Jougnot , Phan Van Do , Nguyen Van Nghia A

In this paper we derive a pore-scale model for permeable biofilm formation in a two-dimensional pore. The pore is divided in two phases: water and biofilm. The biofilm is assumed to consist of four components: water, extracellular polymeric…

Using well-known mathematical foundations of the elasticity theory, a mathematical model for two solutes transport in a poroelastic material (soft tissue is a typical example) is suggested. It is assumed that molecules of essentially…

Mathematical Physics · Physics 2024-03-04 Roman Cherniha , Joanna Stachowska-Pietka , Jacek Waniewski

We propose the generalisation of the anisotropic poroelasticity theory. At a large scale, a medium is viewed as quasi-static, which is the original assumption of Biot. At a smaller scale, we distinguish different porosity clusters (sets of…

Size effects have been predicted at the micro- or nano-scale for porous ductile materials from Molecular Dynamics, Discrete Dislocation Dynamics and Continuum Mechanics numerical simulations, as a consequence of Geometrically Necessary…

Materials Science · Physics 2019-10-29 J. M. Scherer , J. Hure

We consider a poroelastic medium with a thin heterogeneity, also referred to as a fracture. Fluid flow and mechanical deformation inside both bulk and fracture are governed by the quasi-static Biot equations. The fracture's material…

Analysis of PDEs · Mathematics 2025-12-05 Maximilian Hörl , Kundan Kumar , Christian Rohde