Fractal and superdiffusive transport and hydrodynamic dispersion in heterogeneous porous media, Transp. Porous Media, vol.13, issue.1, pp.3-40, 1993. ,
Alternative approach to simulate transport based on the master equation, Tracers and Modelling in Hydrogeology, Proceedings of the TraM'2000 Conference, vol.262, 2000. ,
Impact of velocity correlation and distribution on transport in fractured media: field evidence and theoretical model, Water Resour. Res, vol.51, pp.940-959, 2015. ,
URL : https://hal.archives-ouvertes.fr/insu-01119364
Time domain random walk method to simulate transport by advection-dispersion and matrix diffusion in fracture networks, Geophys. Res. Lett, vol.28, issue.21, pp.4051-4054, 2001. ,
From analytical solutions of solute transport equations to multidimensional time-domain random walk (TDRW) algorithms, Water Resour. Res, vol.51, pp.1860-1871, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01329785
Random walk methods for modeling hydrodynamic transport in porous and fractured media from pore to reservoir scale, Transp. Porous Media, vol.115, issue.2, pp.345-385, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01449131
Random-walk simulation of transport in heterogeneous porous media: local mass-conservation problem and implementation methods, Water Resour. Res, vol.32, issue.3, pp.583-593, 1996. ,
Mass Transport with Heterogeneous Diffusion: Interpolation Schemes for Random Walks, 8th Annual Conference of the International Association for Mathematical Geology, vol.4, pp.305-310, 2002. ,
A random-walk method for the simulation of macrodispersion in a stratified aquifer, Relation of Groundwater Quality and Quantity, vol.146, pp.103-114, 1985. ,
Projection functions for particle grid methods, Numer. Methods Partial Differ. Equ, vol.8, pp.325-340, 1992. ,
Diffusion theory for transport in porous media: transition-probability densities of diffusion processes corresponding to advection-dispersion equations, Water Resour. Res, vol.34, issue.7, pp.1685-1693, 1998. ,
Prise en compte et localisation des hétérogénéités par outils théoriques et expérimentaux, 1985. ,
A new very efficient algorithm for particle tracking in layered aquifers, Computer Methods in Water Resources II, Groundwater Modelling and Pressure Flow, vol.1, pp.41-55, 1991. ,
Three dimensional groundwater quality modeling in heterogeneous media, Water Pollution II: Modelling, Measuring and Prediction, pp.3-11, 1993. ,
Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods, Math. Geol, vol.34, issue.4, pp.435-456, 2002. ,
Numerical study of nuclide migration in a nonuniform horizontal flow field of a high-level radioactive waste repository with multiple canisters, Nucl. Technol, vol.156, issue.2, pp.222-245, 2006. ,
Efficient random walk particle tracking algorithm for advective-dispersive transport in media with discontinuous dispersion coefficients and water contents, Water Resour. Res, vol.47, 2011. ,
Simulating diffusion processes in discontinuous media: a numerical scheme with constant time steps, J. Comput. Phys, vol.231, pp.7299-7314, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00649170
Simulating diffusion processes in discontinuous media: benchmark tests, J. Comput. Phys, vol.2016, issue.314, pp.384-413, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01003853
Diffusion theory for transport in porous media: Transition-probability densities of diffusion processes corresponding to advection-dispersion equations, Water Resour. Res, vol.36, issue.3, pp.819-821, 2000. ,
, Théorie des distributions, vol.2, 1950.
The Fokker-Planck Equation, 1996. ,
Diffusion and trapping in heterogeneous media: an inhomogeneous continuous time random walk approach, Adv. Water Resour, vol.49, pp.13-22, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00767566
, Simple Brownian Diffusion, 2013.
Numerical-simulation of solute transport in 3-dimensional, randomly heterogeneous porous-media, Water Resour. Res, vol.26, issue.10, pp.2541-2562, 1990. ,
, Conduction of Heat in Solids, pp.363-365, 1959.
Simulating solute transport in porous or fractured formations using random walk particle tracking a review, Vadose Zone J, vol.4, 2005. ,
Particle approximation of linear hyperbolic equation of the first order, Numerical Methods in Fluids Dynamics, 1983. ,
, Principles of Mathematical Analysis, 1976.