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- Laurent Talon, Daniela Bauer
- The European physical journal. E, Soft matter
- 2013

Simulating flow of a Bingham fluid in porous media still remains a challenging task as the yield stress may significantly alter the numerical stability and precision. We present a Lattice-Boltzmann TRT scheme that allows the resolution of this type of flow in stochastically reconstructed porous media. LB methods have an intrinsic error associated to the… (More)

- Thibaud Chevalier, Laurent Talon
- Physical review. E, Statistical, nonlinear, and…
- 2015

In this paper, we numerically investigate the statistical properties of the nonflowing areas of Bingham fluid in two-dimensional porous media. First, we demonstrate that the size probability distribution of the unyielded clusters follows a power-law decay with a large size cutoff. This cutoff is shown to diverge following a power law as the imposed pressure… (More)

- Irina Ginzburg, Goncalo Silva, Laurent Talon
- Physical review. E, Statistical, nonlinear, and…
- 2015

This work focuses on the numerical solution of the Stokes-Brinkman equation for a voxel-type porous-media grid, resolved by one to eight spacings per permeability contrast of 1 to 10 orders in magnitude. It is first analytically demonstrated that the lattice Boltzmann method (LBM) and the linear-finite-element method (FEM) both suffer from the viscosity… (More)

- Laurent Talon, Harold Auradou, Alex Hansen
- Physical review. E, Statistical, nonlinear, and…
- 2010

We introduce a model that allows for the prediction of the permeability of self-affine rough channels (one-dimensional fracture) and two-dimensional fractures over a wide range of apertures. In the lubrication approximation, the permeability shows three different scaling regimes. For fractures with a large mean aperture or an aperture small enough to the… (More)

- Séverine Atis, Sandeep Saha, Harold Auradou, Dominique Salin, Laurent Talon
- Physical review letters
- 2013

We analyze experimentally chemical wave propagation in the disordered flow field of a porous medium. The reaction fronts travel at a constant velocity that drastically depends on the mean flow direction and rate. The fronts may propagate either downstream and upstream but, surprisingly, they remain static over a range of flow rate values. Resulting from the… (More)

We investigate the hierarchy of optimal paths in a disordered landscape, based on the best path, the second best path and so on in terms of an energy. By plotting each path at a height according to its energy above some zero level, a landscape appears. This landscape is self-affine and controlled by two Hurst exponents: the one controlling the height… (More)

- Sandeep Saha, Dominique Salin, Laurent Talon
- The European physical journal. E, Soft matter
- 2013

The extension of a gravity current in a lock-exchange problem, proceeds as square root of time in the viscous-buoyancy phase, where there is a balance between gravitational and viscous forces. In the presence of particles however, this scenario is drastically altered, because sedimentation reduces the motive gravitational force and introduces a finite… (More)

- Laurent Talon, Harold Auradou, Alex Hansen
- Front. Physics
- 2014

*Correspondence: Laurent Talon, CNRS, FAST, Université de Paris-Sud, Bât. 502, Campus University, Orsay, F–91405, France e-mail: talon@fast.u-psud.fr We derive the volumetric flow rate vs. pressure drop of a Bingham fluid in one-dimensional channels of variable apertures in the lubrication approximation. A characteristic length scale, a∗ characterizing the… (More)

- Thomas Gueudré, Awadhesh Kumar Dubey, Laurent Talon, Alberto Rosso
- Physical review. E, Statistical, nonlinear, and…
- 2014

Reaction fronts evolving in a porous medium exhibit a rich dynamical behavior. In the presence of an adverse flow, experiments show that the front slows down and eventually gets pinned, displaying a particular sawtooth shape. Extensive numerical simulations of the hydrodynamic equations confirm the experimental observations. Here we propose a stylized… (More)

- Thibaud Chevalier, Anuj Kumar Dubey, Séverine Atis, Alberto Rosso, Dominique Salin, Laurent Talon
- Physical review. E
- 2017

We report on numerical studies of avalanches of an autocatalytic reaction front in a porous medium. The front propagation is controlled by an adverse flow resulting in upstream, static, or downstream regimes. In an earlier study focusing on front shape, we identified three different universality classes associated with this system by following the front… (More)