THREE MODELS FOR TWO PHASE FLOW IN POROUS MEDIA N. H. RISEBRO

Radu, An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects, accepted author

This paper is concerned with the homogenization of a nonlinear degenerate system of diffusion-convection equations modeling the flow and transport of nonisothermal

In the case of flow in porous media, the external force could come for example from an applied pressure difference across the medium, while the internal resistance is caused by

In recent years, many studies on the steady-state two phase flow on Newtonian fluids have revealed a non-trivial rheology, that is, in the regime where capillary forces are

Our objective in this study is to construct relationships between the flow rate (or, equivalently, the superficial fluid velocity) and the pressure gradient for single-phase flow

We study a two-phase pipe flow model with relaxation terms in the momentum and energy equations, driving the model towards dynamic and thermal equilibrium.. These equilibrium states

This paper have considered the topic of obtaining models representing gas-liquid flow dynamics encountered in drilling for the purpose of model based estimation and control design..

Keywords: linearization, two-phase flow, mixed finite element method, convergence analysis, a priori error estimates, porous media, Richards’ equation, degenerate parabolic