Flexible gridding has the potential of increasing the accuracy in numerical simulation of ow through hydrocarbon reservoirs within limitations in computing time and memory space. This paper is devoted to the description of a computational algorithm for two-phase immiscible, incompressible ows in an adaptive composite grid. An IMPES approach is applied. The pressure equation is discretized on lo...

Multiphase flow in porous media provides a wide range of applications: from the environmental understanding (aquifer, site-pollution) to industrial process improvements (oil production, waste management). Modeling of such flows involves specific volume-averaged equations and therefore specific computational fluid dynamics (CFD) tools. In this work, we develop a toolbox for modeling multiphase f...

Detailed geological models typically contain many more cells than can be accommodated by reservoir simulation due to computer time and memory constraints. However, recovery predictions performed on a coarser upscaled mesh are inevitably less accurate than those performed on the initial fine mesh. Recent studies have shown how to use both coarse and fine mesh information during waterflooding sim...

In this paper a finite volume method with a “Modified Implicit Pressure, Explicit Saturation” (MIMPES) approach is used to model the 3-D incompressible and immiscible twophase flow of water and oil in heterogeneous and anisotropic porous media. A vertex centered finite volume method with an edge-based data structure is adopted to discretize both the elliptic pressure and the hyperbolic saturati...

Green’s functions are established tools for solving petroleum engineering flow problems. Their utility and rigor was extended to arbitrarily shaped reservoirs using the Boundary Element Method (BEM). Traditional BEMs are limited to single-phase flow in homogeneous reservoirs. Earlier authors have developed techniques to handle heterogeneity. These methods are perturbationbased and computation-i...

Classical multiphase filtration models, which are based on Darcy's law, well studied and actively used in modern oil engineering. However, such models do not allow efficient describing of processes with power-law memory effects or spatial non-locality effects. In recent years, there has been a significantly increasing interest fractional derivatives integrals that to be taken into account. The ...

[1] We provide a numerical procedure for the simulation of two-phase immiscible and incompressible flow in twoand three-dimensional discrete-fractured media. The concept of cross-flow equilibrium is used to reduce the fracture dimension from n to (n-1) in the calculation of flow in the fractures. This concept, which is often referred to as the discrete-fracture model, has a significant effect o...