Two-phase flow of gas-liquid in pipes and low-permeability porous medium

Volume averaging technique is used to develop mass and momentum equations for two phase flow of gas and liquid in pipes based on rigorous governing equations. The mass and momentum transfers across the interface are represented by surface integrals of the general stress tensor including pressure, normal and shear stresses. The model is expressed in terms of conservative variables to avoid mass imbalance. It is well posed as an initial value problem.; We focused our investigations on the upward one dimensional flow air and water in a vertical pipe. Closure relations are needed to express the interfacial integrals. They are represented by interfacial friction and pressure drop are in good agreement with the available experimental results. The numerical solution is very sensitive to the flow regimes and the model for interfacial forces.; Classical statistical mechanics approach was used to formulate a model for flow of methane and water mixtures in pipes. The hydrodynamical conservative mixture equations are derived from Hamilton canonical equations. To account for the nature of water and methane, the model includes the effects of dipoles using the Stockmayer potential and molecular interactions using the Lennard-Jones potential.; For two phase flow of gas and liquid in a low permeability porous medium, volume averaging techniques are used to develop mass and momentum balances. All phases are compressible and the rock is modeled as a deformable granular phase. The model is expressed in conservative form. It is well posed as an initial value problem.; We investigated the flow of nitrogen and water in a low permeability sandstones. The gas and liquid are assumed to flow through two distinct networks of pores. Furthermore, the capillary equilibrium condition was assumed between the gas and liquid phases. The momentum transfer between fluid and rock is represented by Darcy's law. Our model predictions compare well with the two phase flow experimental data obtained at the Illinois Institute of Technology. The model is specially sensitive to variations in capillary pressure, flowrates, pressures and rock physical characteristics.