Memory effects and ergodicity for diffusion in spatially correlated velocity fields
AbstractWe show that the process of diffusion in statistically homogeneous velocity fields with finite correlation range “remembers” the shape and…
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Memory effects induced by dependence on initial conditions and ergodicity of transport in heterogeneous media
AbstractFor transport in statistically homogeneous random velocity fields with properties that are routinely assumed in stochastic groundwater models, the one‐particle…
Stochastic simulations based on mixed finite elements for solute transport in groundwater
AbstractAn accurate mixed finite element method to solve both flow and transport is developed for stochastic simulations of transportin saturated…
Comment on ‘‘Spatial moments analysis of kinetically sorbing solutes in aquifer with bimodal permeability distribution’’ by M. Massabo, A. Bellin and A. J. Valocchi
Abstract AuthorsN. Suciu P. Knabner KeywordsCite this paper as:N. Suciu, P. Knabner, Comment on ‘‘Spatial moments analysis of kinetically…
Persistent memory of diffusing particles
AbstractThe variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory…
Spatially inhomogeneous transition probabilities as memory effects for diffusion in statistically homogeneous random velocity fields
AbstractWhenever one uses translation invariant mean Green’s functions to describe the behavior in the mean and to estimate dispersion coefficients for…
Global random walk simulations for sensitivity and uncertainty analysis of passive transport models
AbstractThe Global Random Walk algorithm (GRW) performs a simultaneous tracking on a fixed grid of huge numbers of particles at…
Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study
AbstractThis work deals with a comparison of different numerical schemes for the simulation of contaminant transport in heterogeneous porous media.…
A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity
AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…
A coupled finite element–global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity
AbstractSolute transport through heterogeneous porous media considered in environmental and industrial problems is often characterized by high Péclet numbers. In…