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A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

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…

流体动力学 · 物理学 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

We derive an upscaled model describing the aggregation and deposition of colloidal particles within a porous medium allowing for the possibility of local clogging of the pores. At the level of the pore scale, we extend an existing model for…

偏微分方程分析 · 数学 2019-11-19 Adrian Muntean , Christos V. Nikolopoulos

We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly oscillating material parameters, which calls for a thorough…

数值分析 · 数学 2018-12-27 Robert Altmann , Eric Chung , Roland Maier , Daniel Peterseim , Sai-Mang Pun

We present a flexible scalable open-source computational framework, named SECUReFoam, based on the finite-volume library OpenFOAM(R), for flow and transport problems in highly heterogeneous geological media and other porous materials. The…

数值分析 · 数学 2022-12-22 Matteo Icardi , Eugenio Pescimoro , Federico Municchi , Juan H Hidalgo

We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured porous media, reinforced materials, and electric circuits. The…

数值分析 · 数学 2020-07-22 Fredrik Hellman , Axel Målqvist , Siyang Wang

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the…

数值分析 · 数学 2022-02-11 Vladimír Lukeš , Eduard Rohan

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

数值分析 · 数学 2023-12-27 Mina Karimi , Kaushik Bhattacharya

This paper deals with simulation of flow and transport in porous media such as transport of groundwater contaminants. We first discuss how macro scale equations are derived and which terms have to be closed by models. The transport of…

The theoretical investigation of gas adsorption, storage, separation, diffusion and related transport processes in porous materials relies on a detailed knowledge of the potential energy surface of molecules in a stationary environment. In…

化学物理 · 物理学 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser

Pore-scale modeling and simulation of reactive flow in porous media has a range of diverse applications, and poses a number of research challenges. It is known that the morphology of a porous medium has significant influence on the local…

计算工程、金融与科学 · 计算机科学 2015-07-09 Oleg Iliev , Zahra Lakdawala , Katherine Leonard , Yavor Vutov

Transport of viscous fluid through porous media is a direct consequence of the pore structure. Here we investigate transport through a specific class of two-dimensional porous geometries, namely those formed by fluid-mechanical erosion. We…

流体动力学 · 物理学 2020-05-20 Shang-Huan Chiu , M. N. J. Moore , Bryan D. Quaife

We present the state-of-the-art theoretical modeling, molecular simulation, and coarse-graining strategies for the transport of gases and liquids in nanoporous materials (pore size 1-100 nm). Special emphasis is placed on the transport of…

软凝聚态物质 · 物理学 2025-01-29 Alexander Schlaich , Jean-Louis Barrat , Benoit Coasne

We present a versatile open-source pipeline for simulating inhomogeneous reaction-diffusion processes in highly resolved, image-based geometries of porous media with reactive boundaries. Resolving realistic pore-scale geometries in…

数学软件 · 计算机科学 2023-10-18 Justina Stark , Ivo F. Sbalzarini

Long simulation times in climate sciences typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale information significantly influences the prognostic variables and can not be neglected for reliable…

数值分析 · 数学 2018-02-22 Konrad Simon , Jörn Behrens

We developed analytical and numerical methods to study a transport of non-interacting particles in large networks consisting of M d-dimensional containers C_1,...,C_M with radii R_i linked together by tubes of length l_{ij} and radii a_{ij}…

统计力学 · 物理学 2009-11-11 L. Lizana , Z. Konkoli

We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particles within a porous material. In this model, the macroscopic…

偏微分方程分析 · 数学 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean

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…

化学物理 · 物理学 2013-05-13 Eric Sullivan

We investigate the upscaling of diffusive transport parameters as function of pore scale material structure using a stochastic framework. We focus on sub-REV (representative elementary volume) scale where the complexity of pore space…

材料科学 · 物理学 2021-06-21 Alraune Zech , Matthijs de Winter

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

流体动力学 · 物理学 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz
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