We present and discuss a novel approach to deal with conservation properties for the
simulation of nonlinear complex porous media flows in the presence of the following:(1) …

Understanding the interplay of foam and nonaqueous phases in porous media is key to
improving the design of foam for enhanced oil recovery and remediation of aquifers and …

This paper presents a new numerical formulation for the simulation of immiscible and
incompressible three-phase water–gas–oil flows in heterogeneous porous media. We take …

In this paper we show how one can construct families of continuous functions which satisfy
asymptotically scalar equations with discontinuous nonlinearity and systems having …

We discuss the solution for commonly used models of the flow resulting from the injection of
any proportion of three immiscible fluids such as water, oil, and gas in a reservoir initially …

We present numerical approaches for solving a pseudo-parabolic partial differential
equation, which models incompressible two phase flow in porous media taking into account …

Hysteresis phenomenon plays an important role in fluid flow through porous media and
exhibits convoluted behavior that are often poorly understood and that is lacking of rigorous …

We solve injection problems for immiscible three-phase flow described by a system of two
conservation laws with fluxes originating from Corey's model with quadratic permeabilities. A …

We formulate a mathematical model for one dimensional flow with chemical reactions
resulting from injection of air into a porous medium initially filled with gas, water and volatile …

Non-equilibrium models are applicable in various physical situations, including phase
transitions, hysteresis, and chemical reactions, among others. To model the dynamics of …