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The macroscopic spreading and mixing of solute plumes in saturated porous media is ultimately controlled by processes operating at the pore scale. Whilst the conventional picture of pore-scale mechanical dispersion and molecular diffusion…

Fluid Dynamics · Physics 2020-04-24 D. R. Lester , M. G. Trefry , Guy Metcalfe

Under steady flow conditions, the topological complexity inherent to all random 3D porous media imparts complicated flow and transport dynamics. It has been established that this complexity generates persistent chaotic advection via a…

Fluid Dynamics · Physics 2026-05-05 Daniel R. Lester , Marco Dentz , Tanguy Le Borgne

We study the causes of anomalous dispersion in Darcy-scale porous media characterized by spatially heterogeneous hydraulic properties. Spatial variability in hydraulic conductivity leads to spatial variability in the flow properties through…

Fluid Dynamics · Physics 2017-11-22 Alessandro Comolli , Marco Dentz

In recent years, Darcy scale transport in porous media was characterized to be Fickian or non-Fickian due to the homogeneity or heterogeneity of the porous medium conductivity layout. Yet, evidence shows that preferential flows that funnel…

Geophysics · Physics 2022-10-13 Avioz Dagan , Yaniv Edery

Dynamical and statistical properties of tracer advection are studied in a family of flows produced by three point-vortices of different signs. A collapse of all three vortices to a single point is then possible. Tracer dynamics is analyzed…

Chaotic Dynamics · Physics 2007-05-23 X. Leoncini , L. Kuznetsov , G. M. Zaslavsky

Convection-driven porous media flows are common in industrial processes and in nature. The multiscale and multiphase character of these systems and the inherent non-linear flow dynamics make convection in porous media a complex phenomenon.…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli

Although steady, isotropic Darcy flows are inherently laminar and non-mixing, it is well understood that transient forcing via engineered pumping schemes can induce rapid, chaotic mixing in groundwater. In this study we explore the…

Fluid Dynamics · Physics 2019-07-23 Michael Trefry , Daniel Lester , Guy Metcalfe , Junhong Wu

Prediction of reactive transport in porous media remains challenging when pore scale incomplete mixing is at play. Previous experimental studies investigated chemical reactions in porous media by visualizing reaction product or reactants…

Fluid Dynamics · Physics 2023-06-09 Satoshi Izumoto , Gauthier Rousseau , Tanguy Le Borgne , Joris Heyman

Many theoretical treatments of transport in heterogeneous Darcy flows consider advection only. When local-scale dispersion is neglected, flux-weighting persists over time; mean Lagrangian and Eulerian flow velocity distributions relate…

Fluid Dynamics · Physics 2024-07-25 Lian Zhou , Scott K. Hansen

An outstanding characteristic of porous media, desired in many applications, is the large surface area, which facilitates solid-fluid interactions, making porous media an extreme case in colloid and interface science. In two-fluid systems,…

Fluid Dynamics · Physics 2025-10-23 Steffen Berg , Ryan T. Armstrong , Maja Rücker , Alex Hansen , Signe Kjelstrup , Dick Bedeaux

The advection of passive tracers in an oscillating vortex chain is investigated. It is shown that by adding a suitable perturbation to the ideal flow, the induced chaotic advection exhibits two remarkable properties compared with a generic…

Chaotic Dynamics · Physics 2007-05-23 Tounsia Benzekri , Cristel Chandre , Xavier Leoncini , Ricardo Lima , Michel Vittot

Diffusiophoresis, a ubiquitous phenomenon that induces particle transport whenever solute concentration gradients are present, was recently observed in the context of microsystems and shown to strongly impact colloidal transport (patterning…

Many random flows, including 2D unsteady and stagnation-free 3D steady flows, exhibit non-trivial braiding of pathlines as they evolve in time or space. We show that these random flows belong to a pathline braiding \emph{universality class}…

Fluid Dynamics · Physics 2024-12-10 Daniel R. Lester , Michael G. Trefry , Guy Metcalfe

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…

Fluid Dynamics · Physics 2024-06-07 Tairone Paiva Leão

In a recent paper (Trefry et al., 2019) we showed that the interplay of aquifer heterogeneity and poroelasticity can produce complex transport in tidally forced aquifers, with significant implications for solute transport, mixing and…

Fluid Dynamics · Physics 2020-04-24 J. Wu , D. R. Lester , M. G. Trefry , Guy Metcalfe

We provide an analytical solution to examine the impact of steady and pulsatile flow in a symmetric wavy channel filled with an anisotropic porous medium. The flow inside the wavy channel with a porous substrate is governed by the…

Fluid Dynamics · Physics 2025-10-13 Sanchita Pramanik , Timir Karmakar

The unique ability of chaotic advection under micro-scale confinement to direct chemical processes along accelerated kinetic pathways has long been recognized. But practical applications have been slow to emerge because optimal results are…

Fluid Dynamics · Physics 2016-06-03 Aashish Priye , Victor Ugaz

We study the fluid flow through disordered porous media by numerically solving the complete set of the Navier-Stokes equations in a two dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate…

Disordered Systems and Neural Networks · Physics 2015-06-25 U. M. S. Costa , J. S. Andrade , H. A. Makse , H. E. Stanley

Convective dissolution is the process by which CO$_2$ injected in deep geological formations dissolves into the aqueous phase, which allows storing it perennially by gravity. The process results from buoyancy-coupled Darcy flow and solute…

Fluid Dynamics · Physics 2022-07-06 Jayabrata Dhar , Patrice Meunier , François Nadal , Yves Méheust

Transport in multiphase flow through porous media plays a central role in many biological, geological, and engineered systems. Here, we use numerical simulations of transport in immiscible two-phase flow to investigate dispersion in…

Fluid Dynamics · Physics 2021-11-29 Joachim Mathiesen , Gaute Linga , Marek Misztal , Francois Renard , Tanguy Le Borgne
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