109 citations · 657 across the 18 of their papers we have counts for
19 papers
Scalar mixing by stagnation points on solid surfaces
Gaute Linga, Tanguy Le Borgne, Joris Heyman
Recent advances have linked mixing in porous media to the deformation of infinitesimal fluid elements. However, these Lagrangian frameworks generally neglect or simplify interactio…
A dual network approach to connect structure and flow in random networks
Marco Dentz, Philippe Gouze, Tanguy le Borgne +1
Flows in random networks are known to exhibit heavy-tailed statistics, giving rise to anomalous transport in a range of biological, environmental and engineered systems. Yet, how s…
A Unified Theory for Chaotic Mixing in Porous Media: from Pore Networks to Granular Systems
Daniel Lester, Joris Heyman, Yves Meheust +1
Recent studies have revealed the central role of chaotic stretching and folding at the pore scale in controlling mixing within porous media, whether the solid phase is discrete (as…
Dispersion versus diffusion in mixing fronts
Gauthier Rousseau, Satoshi Izumoto, Tanguy Le Borgne +1
Mixing fronts form when fluids with different chemical compositions are brought into contact. They influence a large range of biogeochemical processes in hydrological systems. An i…
Mixing as a correlated aggregation process
Joris Heyman, Tanguy Le Borgne, Philippe Davy +1
Mixing describes the process by which solutes evolve from an initial heterogeneous state to uniformity under the stirring action of a fluid flow. Fluid stretching forms thin scalar…
Impact of pore-scale chaotic mixing on Darcy-scale reaction rates
Satoshi Izumoto, Gauthier Rousseau, Tanguy Le Borgne +1
Prediction of reactive transport in porous media remains challenging when pore scale incomplete mixing is at play. Previous experimental studies investigated chemical reactions in…
Sharp transition to strongly anomalous transport in unsaturated porous media
Andrés Velásquez-Parra, Tomás Aquino, Matthias Willmann +3
The simultaneous presence of liquid and gas in porous media increases flow heterogeneity compared to saturated flows. However, so far the impact of saturation on flow statistics an…
Scalar signatures of chaotic mixing in porous media
Heyman J., Lester D., Le Borgne T
Steady laminar flows through porous media spontaneously generate Lagrangian chaos at pore scale, with qualitative implications for a range of transport, reactive and biological pro…
Anomalous transport in disordered fracture networks: spatial Markov model for dispersion with variable injection modes
Peter Kang, Marco Dentz, Tanguy Le Borgne +2
We investigate tracer transport on random discrete fracture networks that are characterized by the statistics of the fracture geometry and hydraulic conductivity. While it is well…
Conditioning of stochastic 3-D fracture networks to hydrological and geophysical data
C. Dorn, N. Linde, T. Le Borgne +2
The geometry and connectivity of fractures exert a strong influence on the flow and transport properties of fracture networks. We present a novel approach to stochastically generat…
Inferring transport characteristics in a fractured rock aquifer by combining single-hole GPR reflection monitoring and tracer test data
C. Dorn, N. Linde, T. Le Borgne +2
Investigations of solute transport in fractured rock aquifers often rely on tracer test data acquired at a limited number of observation points. Such data do not, by themselves, al…
Hydrogeophysical characterization of transport processes in fractured rock by combining push-pull tracer tests and single-hole ground penetrating radar
A. Shakas, N. Linde, L. Baron +4
The in situ characterization of transport processes in fractured media is particularly challenging due to the considerable spatial uncertainty on tracer pathways and dominant contr…
Single-hole GPR reflection imaging of solute transport in a granitic aquifer
C. Dorn, N- Linde, T. Le Borgne +2
Identifying transport pathways in fractured rock is extremely challenging as flow is often organized in a few fractures that occupy a very small portion of the rock volume. We demo…
Fracture imaging within a granitic rock aquifer using multiple-offset single-hole and cross-hole GPR reflection data
C. Dorn, N. Linde, J. Doetsch +2
The sparsely spaced highly permeable fractures of the granitic rock aquifer at Stang-er-Brune (Brittany, France) form a well-connected fracture network of high permeability but unk…
Continuous Time Random Walks for Non-Local Radial Solute Transport
Marco Dentz, Peter K. Kang, Tanguy le Borgne
This paper derives and analyzes continuous time random walk (CTRW) models in radial flow geometries for the quantification of non-local solute transport induced by heterogeneous fl…
Continuous Time Random Walks for the Evolution of Lagrangian Velocities
Marco Dentz, Peter K. Kang, Alessandro Comolli +2
We develop a continuous time random walk (CTRW) approach for the evolution of Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation process for the s…
The Lagrangian Deformation Structure of Three-Dimensional Steady Flow
Daniel R. Lester, Marco Dentz, Tanguy Le Borgne +1
Fluid deformation and strain history are central to wide range of fluid mechanical phenomena ranging from fluid mixing and particle transport to stress development in complex fluid…
Chaotic Mixing in Three Dimensional Porous Media
Daniel R. Lester, Marco Dentz, Tanguy Le Borgne
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 c…
Fluid Stretching as a Levy Process
Marco Dentz, Daniel R. Lester, Tanguy Le Borgne +1
We study the relation between flow structure and fluid deformation in steady two-dimensional random flows. Beyond the linear (shear flow) and exponential (chaotic flow) elongation…