The physics of miscible flow displacements with unfavorable mobility ratios through
horizontal layered heterogeneous media is investigated. The flow model is solved …

We present a stochastic analysis of immiscible two-phase flow (Buckley–Leverett
displacement) in heterogeneous reservoirs. Since the detailed spatial variabilities of …

We construct a new class of locally conservative numerical methods for two-phase
immiscible flow in heterogeneous poroelastic media. Within the framework of the so-called …

We develop a new computational methodology for solving two‐phase flow in highly
heterogeneous porous media incorporating geomechanical coupling subject to uncertainty …

The compaction of highly heterogeneous poroelastic reservoirs with the geology
characterized by long‐range correlations displaying fractal character is investigated within …

In this paper, we review the main upscaling techniques of two phase flow. Purely numerical
fine to coarse gridding methods are investigated, as well as more physical approaches …

Fluid mixing in permeable media is essential in many practical applications. The mixing
process is a consequence of velocity fluctuations owing to geological heterogeneities and …

The purpose of this paper is to develop a general framework for the prediction of complex
multiscale phenomena and to illustrate this framework through comparison to two examples …

We present a numerical study of the scale up problem for the fractional flow function in the
Buckley-Leverett equation for flow in porous media. The scale up problem is to define an …

This paper introduces a new methodology to generate numerically multi‐scale random
fields. The generation of numerical samples of random fields plays an important role in …