During the last 25 to 30 yr, micromodels have been increasingly used to study the behavior
of fluids inside microstructures in various research areas. Studies have included chemical …

This work reviews the transient two-phase flow in porous media with engineering
applications in Geotechnics. It initially overviews constitutive relationships, conventional …

Unstable immiscible fluid displacement in porous media affects geological carbon
sequestration, enhanced oil recovery, and groundwater contamination by non-aqueous …

The flow of two immiscible fluids through a porous medium depends on the complex
interplay between gravity, capillarity, and viscous forces. The interaction between these …

Permeability contrasts exist in multilayer geological formations under consideration for
carbon sequestration. To improve our understanding of heterogeneous pore-scale …

This paper addresses simulation of non-isothermal water-oil displacements in porous media
at pore-scale. The simulation approach was done by coupling Cahn–Hilliard phase field and …

We discuss a numerical modeling to approximate a two-phase flow in a heterogeneous
porous media taking into account effects of dynamic capillary pressure. The governing …

Empirical or theoretical extensions of Darcy's law for immiscible two‐phase flow have shown
significant limitations in properly modeling the flow at the continuum scale. We tackle this …

The dynamic capillary effect, which is a common phenomenon of two-phase flow in porous
media, has crucial importance in various fields. Several factors, such as permeability, grain …

Conventional macroscale two-phase flow equations for porous media (such as Darcy's law
and Richards Equation) require a constitutive relation for capillary pressure (P c). The …