Capillary number, understood as the ratio of viscous force to capillary force, is one of the
most important parameters in enhanced oil recovery (EOR). It continues to attract the interest …

Different from classic wetting patterns, saturation overshoot (also called saturation-bump or
non-monotonic saturation profile) is widely observed in unsaturated porous media …

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 …

Capillary desaturation experiments produce disconnected (trapped) ganglia of mesoscopic
sizes intermediate between pore size and system size. Experimental evidence for …

In this review, the phenomenology of hysteresis is discussed, including both empirical and
mathematical models, and some examples are presented. The focus lies on soil-moisture …

We consider a model for the flow of two immiscible fluids in a two‐dimensional thin strip of
varying width. This represents an idealization of a pore in a porous medium. The interface …

In this work, we study the numerical approximation of the initial-boundary-value problem of
nonlinear pseudo-parabolic equations with Dirichlet boundary conditions. We propose a …

The modelling and simulation of the unsaturated flow or the flow of two immiscible fluid
phases in a porous medium is challenging as this flow takes place through the pores of the …

Saturation overshoot and pressure overshoot are studied by incorporating dynamic capillary
pressure, capillary pressure hysteresis and hysteretic dynamic coefficient with a traditional …

We discuss a numerical approach for the simulation of a hydrodynamic model for immiscible
incompressible two-phase flow in heterogeneous porous media to deal with effects of …