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Modeling effective transport properties of 3D porous media, such as permeability, at multiple scales is challenging as a result of the combined complexity of the pore structures and fluid physics - in particular, confinement effects which…

Effects of heterogeneity of mineral distribution and reaction rate on the rock dissolution process are investigated using a pore-scale reactive transport model based on the lattice Boltzmann method. Coupled fluid flow, species transport,…

Fluid Dynamics · Physics 2015-11-16 Ting Min , Yimin Gao , Li Chen , Qinjun Kang , Wen-Quan Tao

We investigate the chemical dissolution of porous media using a network model in which the system is represented as a series of interconnected pipes with the diameter of each segment increasing in proportion to the local reactant…

Fluid Dynamics · Physics 2015-06-12 Agnieszka Budek , Piotr Szymczak

Direct modeling of porous materials under shock is a complex issue. We investigate such a system via the newly developed material-point method. The effects of shock strength and porosity size are the main concerns. For the same porosity,…

Materials Science · Physics 2015-05-13 Aiguo Xu , Guangcai Zhang , X. F. Pan , Jianshi Zhu

Understanding the coupling between flow, hydrodynamic transport and dispersion of colloids with finite-size in porous media is a long-standing challenge. This problem is relevant for a broad range of natural and engineered subsurface…

Fluid Dynamics · Physics 2025-03-11 Mirko Residori , Simon Praetorius , Pietro de Anna , Axel Voigt

Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challenging task as the geometry of the pores changes in time in an…

Numerical Analysis · Mathematics 2020-07-13 Manuela Bastidas , Carina Bringedal , Iuliu Sorin Pop

This work presents a macroscopic model for the flow of two immiscible and incompressible fluids within inhomogeneous porous media. At the pore scale, the flow is governed by the full Navier-Stokes equations while the phase interface…

Fluid Dynamics · Physics 2026-03-02 Chunhua Zhang , Peiyao Liu , Cheng Peng , Lian-Ping Wang , Zhaoli Guo

The interaction between externally generated turbulence and porous media is central to many engineering and environmental flows, yet the fate of macroscale vortical structures at a porous/fluid interface remains uncharacterized. By…

Fluid Dynamics · Physics 2026-02-03 Justin Courter , Vishal Srikanth , Thibaut Kemayo , Andrey V. Kuznetsov

We investigate the transport and adsorption of solutes within graded porous filters characterised by a spatially varying microstructure. While classical homogenisation theory typically assumes periodic media, we employ the method of…

Fluid Dynamics · Physics 2026-03-24 Václav Klika , Vojtěch Kužel

Understanding anomalous transport and reaction kinetics due to microscopic physical and chemical disorder is a long-standing goal in many fields including geophysics, biology, and engineering. We consider reaction-diffusion characterized by…

Soft Condensed Matter · Physics 2017-10-11 Gerald J. Lapeyre , Marco Dentz

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

The interaction between the flow above and below a permeable wall is a central topic in the study of porous media. While previous investigations have provided compelling evidence of the strong coupling between the two regions, few studies…

Fluid Dynamics · Physics 2021-07-07 Wenkang Wang , Xu Chu , Adrián Lozano-Durán , Rainer Helmig , Bernhard Weigand

We conducted a series of pore-scale numerical simulations on convective flow in porous media, with a fixed Schmidt number of 400 and a wide range of Rayleigh numbers. The porous media are modeled using regularly arranged square obstacles in…

Fluid Dynamics · Physics 2024-10-01 Junyi Li , Yantao Yang , Chao Sun

We study reactive transport in a stressed porous media, where dissolution of the solid matrix causes two simultaneous, competing effects: pore enlargement (chemical deformation), and pore compaction due to mechanical weakening. A novel,…

Fluid Dynamics · Physics 2018-05-16 Roi Roded , Xavier Paredes , Ran Holtzman

Low Reynolds number flow near a poroelastic interface can be found across scales in biological and engineered systems. We develop a 2D model of peristaltic flow confined under a poroelastic solid. In this geometry, the lower boundary is an…

Fluid Dynamics · Physics 2026-04-07 Avery Trevino , Roberto Zenit , Mauro Rodriguez

Historically, the dominant conceptual paradigm of porous media flow, solute mixing and transport was based on steady two-dimensional flows in heterogeneous porous media. Although it is now well recognised that novel transport phenomena can…

Fluid Dynamics · Physics 2022-06-30 Guy Metcalfe , Daniel Lester , Michael Trefry

The anomalous dynamics of capillary rise in a porous medium discovered experimentally more than a decade ago (Delker et al., Phys. Rev. Lett. 76 (1996) 2902) is described. The developed theory is based on considering the principal modes of…

Fluid Dynamics · Physics 2015-06-05 Yulii Shikhmurzaev , James Sprittles

We study the problem of the transformation of a given reactant species into an immiscible product species, as they flow through a chemically active porous medium. We derive the equation governing the evolution of the volume fraction of the…

Fluid Dynamics · Physics 2015-01-06 Alexandre Darmon , Michael Benzaquen , Thomas Salez , Olivier Dauchot

We study solute-laden flow through permeable geological formations with a focus on advection-dominated transport and volume reactions. As the fluid flows through the permeable medium, it reacts with the medium, thereby changing the…

Numerical Analysis · Mathematics 2023-09-21 Mina Karimi , Kaushik Bhattacharya

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…

Analysis of PDEs · Mathematics 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean