We study a finite volume discretization of a strongly coupled elliptic-parabolic PDE system describing miscible displacement in a porous medium. We discretize each equation by a finite volume scheme which allows a wide variety of unstructured grids (in any space dimension) and gives strong enough convergence for handling the nonlinear coupling of the equations. We prove the convergence of the s...

Finite element methods are used to solve a nonlinear system of partial diierential equations which models incompressible miscible displacement of one uid by another in porous media. From a backward nite diierence discretization we deene a sequentially implicit time-stepping algorithm which uncouples the system. The Galerkin method is employed to approximate the pressure, and improvement velocit...

In this paper, we prove the convergence of a discrete duality finite volume scheme for a system of partial differential equations 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. We first establish some a priori estimates satisfied...

Mixing efficiency at low Reynolds numbers can be enhanced by exploiting hydrodynamic instabilities that induce heterogeneity and disorder in the flow. The unstable displacement of fluids with different viscosities, or viscous fingering, provides a powerful mechanism to increase fluid-fluid interfacial area and enhance mixing. Here we describe the dissipative structure of miscible viscous finger...

We present a numerical study of viscous fingering occurring during the displacement high viscosity fluid by low in circular Hele-Shaw cell. This assumes that fluids are miscible and considers effects inertial forces on morphology, mixing, efficiency. shows inertia has stabilizing instability improves efficiency at log-mobility-viscosity ratio between displacing displaced fluids. Under certain c...

We performed an experimental and numerical investigation of a convective buoyancy-driven instability that arises during the injection denser miscible fluid into less dense one in rectilinear geometry. visualized using shadowgraph technique, we obtained quantitative information micro-Particle Image Velocimetry. Numerical simulations provided further insights three-dimensional (3D) velocity field...

The miscible displacement process appears to be an increasingly feasible method for the extraction of oil from depleted reservoirs. How‌ever, there is a lack of fundamental understanding of how fracture geometrical characteristics impact the oil recovery efficiency in this type of enhanced oil recovery technique. In this work, a series of experimental tests were conducted whereby the n-Hept...

the main purpose of this investigation is to study the effect of near miscible co2 injection in different porous mediums on both lab and field scales. this effect can be traced by the change of two-phase gas-oil relative permeability curves. in this work, the experiments have been performed on three rock types (i.e. sandstone, dolomite, and artificial fractured sandstone) based on an incrementa...