Numerical investigation of flow branching of two-phase immiscible fluids in a Y-shaped, planner channel is conducted by solving the coupled Cahn–Hilliard and Naiver–Stokes system with finite element method. In this system a horizontal channel is branched into two identical and symmetric branches wit...

Non-Newtonian fluids having Bingham or power-law rheology are common in many applications within drilling and reservoir engineering. Examples of such fluids are drilling muds, foams, heavy oil, hydraulic-fracturing and other stimulation fluids, and cement slurries. Despite the importance of non-Newt...

The present work describes a fully implicit simulator for polymer injection implemented in the free, open-source MATLAB Reservoir Simulation Toolbox (MRST). Polymer injection is one of the widely used enhanced oil recovery (EOR) techniques and complicated physical process is involved, which makes ac...

Non-Newtonian fluids having Bingham or power-law rheology are common in many applications within drilling and reservoir engineering. Examples of such fluids are drilling muds, foams, heavy oil, hydraulic- fracturing and other stimulation fluids, and cement slurries. Despite the importance of non-New...

We consider two types of non-Newtonian rheology: truncated power-law fluid and Bingham fluid. For the two types of non-Newtonian rheology, we construct relations between the superficial fluid velocity and the pressure gradient in fractures and porous media. The above formulations are implemented wit...