Modeling Flow in Porous Media With Double Porosity/Permeability: Mathematical Model, Properties, and Analytical Solutions

Modeling flow in porous media with double porosity/permeability: Mathematical model, properties, and analytical solutions

Geo-materials such as vuggy carbonates are known to exhibit multiple spatial scales. A common manifestation of spatial scales is the presence of (at least) two different scales of pores, which is commonly referred to as double porosity. To complicate things, the pore-network at each scale exhibits different permeability, and these networks are connected through fissure and conduits. Although so...

Analytical Solutions for Multicomponent, Two-Phase Flow in Porous Media with Double Contact Discontinuities

Analytical Solutions for Multicomponent, Two-Phase Flow in Porous Media with Double Contact Discontinuities Citation

The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Abstract This paper presents the first instance of a double contact discontinuity in analytical solutions for multicomponent, two-phase flow in porous media. We use a three-component system with constant equilibrium ratios and fixed injection and initial conditions, to demonstr...

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...

Mathematical Models of Flow in Porous Media

In this chapter a general model for the two-phase fluid flow in porous media is presented, together with its simplified form, known as the Richards equation, which is applicable (under specific assumptions) to describe water flow in the vadose zone. In each case the governing equations are formulated at the Darcy scale, using the capillary pressure–saturation relationship and an empirical exten...