Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media

  title={Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media},
  author={B. Ph. van Milligen and Paul D. Bons},
  journal={Comput. Phys. Commun.},

Impact of diffusion on transverse dispersion in two-dimensional ordered and random porous media.

The obtained results reveal that disorder in the geometrical structure of a two-dimensional porous medium leads to a growth of D_{T} with ν even in a uniform pore-scale advection field; however, lateral diffusion is a prerequisite for this growth.

Generalized Mixed-Cell Mass Balance Solute Transport Modeling in Pore-Scale Disordered Networks: A New Semi-Analytical Approach

Accurately predicting (non-reactive or reactive) solute transport migration, at multiple scales, in subsurface aquifers is identified among urgent societal and scientific challenges in water

Mesoscale and Hybrid Models of Fluid Flow and Solute Transport

Fluid flow and reactive transport is relevant to many subsurface applications including CO2 sequestration, miscible/immiscible displacements in enhanced oil recovery, wellbore acidization, pollutant

Eulerian network modeling of longitudinal dispersion

A novel Eulerian network model that incorporates “shear dispersion,” the stretching of solute due to nonuniform velocity profiles within pore throats is developed. The superposing transport method



Fractal and superdiffusive transport and hydrodynamic dispersion in heterogeneous porous media

We review and discuss diffusion and hydrodynamic dispersion in a heterogeneous porous medium. Two types of heterogeneities are considered. One is percolation disorder in which a fraction of the pores


We report results of Monte Carlo investigations of dispersion in one- and two-phase flow through disordered porous media represented by square and simple cubic networks of pores of random radii.

Inertial effects in dispersion in porous media

In this work we develop the macroscale transport equation for dispersion of a nonreactive chemical species, with a particular focus on the influence of inertial contributions at moderate Reynolds

Pore‐scale modeling of longitudinal dispersion

We study macroscopic (centimeter scale) dispersion using pore‐scale network simulation. A Lagrangian‐based transport model incorporating flow and diffusion is applied in a diamond lattice of throats

Pore-scale modeling of dispersion in disordered porous media.

A general unified expression for solute and heat dispersion in homogeneous porous media

Perturbations of temperature or solute concentration in a porous medium spread out by heat or molecular diffusion, respectively. If the pore‐filling medium (e.g., water in soil) flows, this causes

Measurement and analysis of non-Fickian dispersion in heterogeneous porous media.

Physical pictures of transport in heterogeneous media: Advection‐dispersion, random‐walk, and fractional derivative formulations

The basic conceptual picture and theoretical basis for development of transport equations in porous media are examined. The general form of the governing equations is derived for conservative

Influence of the disorder on solute dispersion in a flow channel

Solute dispersion is studied experimentally in periodic or disordered arrays of beads in a capillary tube. Dispersion is measured from light absorption variations near the outlet following a steplike