The phenomenon of dispersion (transverse and longitudinal) in packed beds is summarized and reviewed for a great deal of information from the literature. Dispersion plays an important part, for example, in contaminant transport in ground water flows, in miscible displacement of oil and gas and in reactant and product transport in packed bed reactors. There are several variables that must be con...

We design, analyse and implement an arbitrary order scheme applicable to generic meshes for a coupled elliptic-parabolic PDE system describing miscible displacement in porous media. The discretisation is based on several adaptations of the Hybrid-High-Order (HHO) method due to Di Pietro et al. [Computational Methods in Applied Mathematics, 14(4), (2014)]. The equation governing the pressure is ...

In this paper, we are interested in the finite volume approximation of a system describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require a special care while d...

Underground injection of carbon dioxide for enhanced oil recovery (EOR) is a common practice in the oil and gas industry and has often been cited as a proven method of sequestering CO2 (US DOE, 1999). Of all sequestration methods, this is probably the best understood, as carbon dioxide has been used in the oil industry for many years. Additionally, most oil fields have been relatively well char...

A series of miscible-displacement experiments was conducted to examine the retention and transport behavior of oocysts in natural porous media. Three soils and a model sand were used that differed in physical and geochemical properties. Transport behavior was examined under various treatment conditions to help evaluate retention mechanisms. Significant retention of oocysts was observed for al...

Experiments compare long-range chaotic mixing of miscible and immiscible impurities in a time-periodic flow. For the miscible case, the transport is enhanced diffusion with an effective diffusion constant determined by lobes (turnstiles) that carry impurities between vortices. For the immiscible case, the impurity is broken into a distribution of droplets. If the characteristic droplet size is ...

The displacement of a more viscous fluid by less renders the fluid-fluid interface unstable and leads to intricate patterns called fingers. Since fluids experience shear during displacement, it should be possible influence emergence instability dynamics through control rheological parameters, such as elasticity or relaxation time in case viscoelastic fluid. In this article, we record analyze in...

1. Introduction The formation of miscible mixtures of two chemically dissimilar polymers is in general unfavourable. For many materials a single phase is never formed, while for others, the miscible state is only obtained at low temperatures. The classic description of the interaction between two polymers is via the Flory-Huggins theory (for example see [l]) in which x, the interaction paramete...