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We report and discuss, by means of pore-scale numerical simulations, the possibility of achieving a directional-dependent two-phase flow behaviour during the process of invasion of a viscous fluid into anisotropic porous media with…

流体动力学 · 物理学 2021-10-27 Dario Maggiolo , Francesco Picano , Federico Toschi

In this paper, we extend the Darcy law for micropolar fluid flow in a thin porous medium. This provides a framework for understanding how a fluid's microstructural properties, the geometry of the porous medium and the thickness of the…

偏微分方程分析 · 数学 2025-08-07 María Anguiano , Francisco J. Suárez-Grau

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

流体动力学 · 物理学 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfaces. This flow model is also coupled with the mechanical…

数值分析 · 数学 2021-07-15 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

The estimation of the permeability of porous media to fluids is of fundamental importance in fields as diverse as oil and gas industry, agriculture, hydrology and medicine. Despite more than 150 years since the publication of Darcy's linear…

流体动力学 · 物理学 2024-06-07 Tairone Paiva Leão

The behaviour of two dimensional binary and ternary amphiphilic fluids under flow conditions is investigated using a hydrodynamic lattice gas model. After the validation of the model in simple cases (Poiseuille flow, Darcy's law for single…

软凝聚态物质 · 物理学 2009-10-31 J. -B. Maillet , Peter V. Coveney

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…

软凝聚态物质 · 物理学 2016-06-22 Giulio Sciarra

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.…

地球物理 · 物理学 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

Permeability is the key parameter for quantifying fluid flow in porous rocks. Knowledge of the spatial distribution of the connected pore space allows, in principle, to predict the permeability of a rock sample. However, limitations in…

In this paper, we consider the complex flows when all three regimes pre-Darcy, Darcy and post-Darcy may be present in different portions of a same domain. We unify all three flow regimes under mathematics formulation. We describe the flow…

数值分析 · 数学 2021-06-24 John Cummings , Matthew Hamilton , Thinh Kieu

The meniscal tissue is a layered material with varying properties influenced by collagen content and arrangement. Understanding the relationship between structure and properties is crucial for disease management, treatment development, and…

计算工程、金融与科学 · 计算机科学 2023-07-26 J. Waghorne , F. P. Bonomo , A. Rabbani , D. Bell , O. Barrera

We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model,…

数值分析 · 数学 2023-08-08 Samuel Burbulla , Maximilian Hörl , Christian Rohde

In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy and post-Darcy. Because of their different natures, these are usually treated separately in literature. To study complex flows when all three regimes…

偏微分方程分析 · 数学 2017-04-05 Emine Celik , Luan Hoang , Akif Ibragimov , Thinh Kieu

Direct numerical simulation of Stokes flow through an impermeable, rigid body matrix by finite elements requires meshes fine enough to resolve the pore-size scale and is thus a computationally expensive task. The cost is significantly…

机器学习 · 统计学 2019-09-10 Constantin Grigo , Phaedon-Stelios Koutsourelakis

This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles, motivated by the need to model flow in coiled aneurysm…

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

In this paper we study stationary incompressible Newtonian fluid flow in a thin porous media. The media under consideration is a bounded perforated $3D$ domain confined between two parallel plates. The description of the domain includes two…

偏微分方程分析 · 数学 2025-12-17 Francisco J. Suárez-Grau

The lattice Boltzmann method has been successfully applied for the simulation of flow through porous media in the creeping regime. Its technical properties, namely discretization, straightforward implementation and parallelization, are…

流体动力学 · 物理学 2015-06-12 Ariel Narváez , Kazem Yazdchi , Stefan Luding , Jens Harting

This review examined the current advancements in data-driven methods for analyzing flow and transport in porous media, which has various applications in energy, chemical engineering, environmental science, and beyond. Although there has…

流体动力学 · 物理学 2024-07-01 Guang Yang , Ran Xu , Yusong Tian , Songyuan Guo , Jingyi Wu , Xu Chu