Stochastic Modeling of Two-Phase Flow in Porous Media

Abstract

ABSTRACT A recurring problem in Reservoir Engineering is how the innate variability of geophysical systems can be appropriately modelled. In recently published studies variability has been introduced into the models of single phase flow by expressing them as stochastic processes. Following this development the aim of this paper is to establish the main characteristics of immiscible flow in a non-uniform porous medium represented as a stochastic process. For this purpose Monte Carlo simulation is appropriate. Both steady-state and transient (ie. displacement) systems are examined. Differences in the one and two dimensional simulation behaviour emphasise the importance of correct averaging to produce representative parameters. Direct results of this study are to the use of composite heterogeneous cores. In the longer term a basis is established for the development of reservoir engineering models formulated in a stochastic form.