FINGERING IN 2-DIMENSIONAL HOMOGENEOUS UNSATURATED POROUS MEDIA

Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media

The present paper analytically discusses the phenomenon of fingering in double phase flow through homogenous porous media by using variational iteration method. Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser viscosity which frequently occurred in problems of petroleum technology. In the current investigation...

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Electrokinetic coupling in unsaturated porous media.

We consider a charged porous material that is saturated by two fluid phases that are immiscible and continuous on the scale of a representative elementary volume. The wetting phase for the grains is water and the nonwetting phase is assumed to be an electrically insulating viscous fluid. We use a volume-averaging approach to derive the linear constitutive equations for the electrical current de...

From Capillary Fingering to Viscous Flow in Two-Dimensional Porous Media: Role of the Wetting Properties

Microfluidics device are used to study the drainage of a wetting fluid by a non-wetting one in porous media. Both the geometry and the wetting properties are accurately controlled and allow to obtain quantitative measurements of the features of the capillary fingering occuring during the invasion as a function of the imposed flow rate. In partial wetting systems, a quantitative agreement is fou...

Hysteresis models and gravity fingering in porous media

We study flow problems in unsaturated porous media. Our main interest is the gravity driven penetration of a dry material, a situation in which fingering effects can be observed experimentally and numerically. The flow is described by either a Richards or a two-phase model. The important modelling aspect regards the capillary pressure relation which can include static hysteresis and dynamic cor...