Local pore size correlations determine flow distributions in porous media, Physical Review Letters, vol.119, issue.14, 2017. ,
Dynamics of fluids in porous media, 1972. ,
Interpreting tracer breakthrough tailing from different forced-gradient tracer experiment configurations in fractured bedrock, Water Resources Research, vol.39, issue.1, 2003. ,
Modeling conservative tracer transport in fracture networks with a hybrid approach based on the Boltzmann transport equation, Water resources research, vol.39, issue.11, p.1324, 2003. ,
Modeling non-Fickian transport in geological formations as a continuous time random walk, Reviews of Geophysics, vol.44, 2006. ,
The role of probabilistic approaches to transport theory in heterogeneous media, Dispersion in heterogeneous geological formations, vol.42, pp.241-263, 2001. ,
Pore-scale modeling and continuous time random walk analysis of dispersion in porous media, Water resources research, vol.42, 2006. ,
Signature of non-Fickian solute transport in complex heterogeneous porous media, Physical Review Letters, vol.107, issue.20, pp.204-502, 2011. ,
Pore-scale modeling of longitudinal dispersion, Water Resources Research, vol.40, 2004. ,
Pore-scale hydrodynamics in a progressively bioclogged three-dimensional porous medium: 3-D particle tracking experiments and stochastic transport modeling, Water Resources Research, vol.54, pp.2183-2198, 2018. ,
Water and solute transport along hydrological pathways, Water resources research, vol.48, 2012. ,
Analysis of nonlinear effects on tracer migration in heterogeneous aquifers using Lagrangian travel time statistics, Water Resources Research, vol.32, issue.6, pp.1671-1680, 1996. ,
An exact solution of solute transport by one-dimensional random velocity fields, Stochastic Hydrology and Hydraulics, vol.5, issue.1, pp.45-54, 1991. ,
Theory of solute transport by groundwater, Annual Review of Fluid Mechanics, vol.19, pp.183-215, 1987. ,
Flow intermittency, dispersion, and correlated continuous time random walks in porous media, Physical review letters, vol.110, issue.18, pp.184-502, 2013. ,
URL : https://hal.archives-ouvertes.fr/insu-01121092
Prediction of velocity distribution from pore structure in simple porous media, Physical Review Fluids, vol.2, issue.124, p.103, 2017. ,
Longitudinal and transverse diffusion in granular deposits, Eos Transactions American Geophysical Union, vol.39, pp.67-74, 1958. ,
Simulating solute transport in porous or fractured formations using random walk particle tracking, Vadose Zone Journal, vol.4, pp.360-379, 2005. ,
Time behavior of solute transport in heterogeneous media: Transition from anomalous to normal transport, Advances in Water Resources, vol.27, issue.2, pp.155-173, 2004. ,
Mechanisms of dispersion in a porous medium, Journal of Fluid Mechanics, vol.841, pp.851-882, 2018. ,
Continuous time random walks for the evolution of Lagrangian velocities, Physical Review Fluids, vol.1, issue.7, p.74004, 2016. ,
URL : https://hal.archives-ouvertes.fr/insu-01416941
Non-uniform random variate generation, 1986. ,
Stochastic methods, 2010. ,
Dual control of flow field heterogeneity and immobile porosity on non-Fickian transport in berea sandstone, Water Resources Research, vol.51, pp.8273-8293, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01278285
Flow and travel time statistics in highly heterogeneous porous media, Water resources research, vol.45, 2009. ,
Non-Fickian dispersion in porous media: 1. Multiscale measurements using single-well injection withdrawal tracer tests, Water Resources Research, vol.44, 2008. ,
URL : https://hal.archives-ouvertes.fr/insu-00373695
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow, Physical Review E, vol.92, issue.1, 2015. ,
Influence of injection mode on transport properties in kilometer-scale three-dimensional discrete fracture networks, Water Resources Research, vol.51, pp.7289-7308, 2015. ,
Statistics of highly heterogeneous flow fields confined to three-dimensional random porous media, Physical Review E, vol.93, p.13122, 2016. ,
Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media, Geophysical Research Letters, vol.41, pp.6184-6190, 2014. ,
Anomalous transport in disordered fracture networks: Spatial Markov model for dispersion with variable injection modes, Advances in Water Resources, vol.106, pp.80-94, 2017. ,
URL : https://hal.archives-ouvertes.fr/insu-01502757
Tortuous flow in porous media, Physical Review E, vol.54, issue.1, p.406, 1996. ,
Scalar mixtures in porous media, Physical Review Fluids, vol.2, issue.10, 2017. ,
Statistical physics II, non-equilibrium statistical mechanics, 1991. ,
Sur la théorie du mouvement brownien, Comptes rendus de l'Académie des Sciences, vol.146, pp.530-533, 1908. ,
Characterization of the velocity field organization in heterogeneous media by conditional correlation, Water Resources Research, vol.43, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00138043
Lagrangian statistical model for transport in highly heterogeneous velocity fields, Physical Review Letters, vol.101, issue.9, 2008. ,
URL : https://hal.archives-ouvertes.fr/insu-00372030
Measurement and analysis of non-Fickian dispersion in heterogeneous porous media, Journal of contaminant hydrology, vol.64, issue.3, pp.203-226, 2003. ,
Evaluation of bacterial run and tumble motility parameters through trajectory analysis, Journal of Contaminant Hydrology, vol.211, pp.26-38, 2018. ,
The mathematical nature of the problem of relating Lagrangian and Eulerian statistical functions in turbulence. Mécanique de la Turbulence, vol.108, pp.17-26, 1962. ,
Power-exponential velocity distributions in disordered porous media, Physical Review E, vol.93, p.13110, 2016. ,
Pore-scale dispersion: Bridging the gap between microscopic pore structure and the emerging macroscopic transport behavior, Physical Review E, vol.94, issue.1, p.13107, 2016. ,
Stochastic dynamics of intermittent pore-scale particle motion in three-dimensional porous media: Experiments and theory, Geophysical Research Letters, vol.44, pp.9361-9371, 2017. ,
Evolution and persistence of cross-directional statistical dependence during finite-Péclet transport through a real porous medium, Water Resources Research, vol.52, pp.8920-8937, 2016. ,
Simulation of flow and dispersion on pore-space images, SPE Journal, vol.17, issue.04, pp.1-131, 2012. ,
Random walk methods for modeling hydrodynamic transport in porous and fractured media from pore to reservoir scale, Transport in Porous Media, vol.115, pp.345-385, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01449131
Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object, Journal of microscopy, vol.206, issue.1, pp.33-40, 2002. ,
Upscaling discrete fracture network simulations: An alternative to continuum transport models, Water Resources Research, vol.41, 2005. ,
Semianalytical computation of path lines for finite-difference models, Ground Water, vol.26, issue.6, pp.743-750, 1988. ,
Turbulent flows, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00338511
The Fokker-Planck equation, 1996. ,
A theory of dispersion in a porous medium, Journal of Fluid Mechanics, vol.6, issue.03, pp.321-349, 1959. ,
Three-dimensional synchrotron virtual paleohistology: A new insight into the world of fossil bone microstructures, Microscopy and Microanalysis, vol.18, issue.5, pp.1095-1105, 2012. ,
The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times, Geophysical Research Letters, vol.29, issue.5, p.1061, 2002. ,
Stochastic analysis of solute arrival time in heterogeneous porous media, Water Resources Research, vol.24, issue.10, pp.1711-1718, 1988. ,
Relationship between pore size and velocity probability distributions in stochastically generated porous media, Physical Review E, vol.89, issue.1, p.13018, 2014. ,
An automatic segmentation algorithm for retrieving sub-resolution porosity from X-ray tomography images, vol.166, pp.198-207, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01849382
Diffusion by continuous movements, Proceedings of the london mathematical society, vol.20, pp.196-211, 1921. ,
On the theory of the Brownian motion, Physical Review, vol.36, issue.5, pp.823-841, 1930. ,