Laboratory determination of relative permeability characteristics is labor intensive and can be complicated.Empirical models to predict relative permeabilities based on rock and fluid properties have experienced relatively limited success. Hence, alternate methodologies for accurate determination of relative permeability characteristics are always desirable.
In this study, two-phase and three-phase relative permeability predictors are developed using backpropagation networks. In this category of networks, information is passed from input layer to output layer, and calculated errors are propagated back to adjust the connection weights in a sequential manner to improve the predictive capabilities of the models. In the development of the models, experimental relative permeability data along with some commonly reported rock and fluid properties obtained from the literature are used during the training stage, while some other data sets are preserved to test the prediction ability of the models. The two-phase relative permeability models are found to perform in a satisfactory manner within a wide spectrum of basic rock and fluid properties. Similarly, three-phase relative permeability models are observed to have good predictive capability in accurately producing the missing entries of three-phase data sets for a series of isoperms, and in constructing the missing isoperms for a system under consideration. Furthermore, they are found to be capable of effectively predicting the three-phase relative permeability values at various saturation combinations for systems with different rock and fluid properties.
Introduction
All oil reservoirs are potentially three-phase systems as they usually contain interstitial water and are rarely devoid of gas. Furthermore, all of these three phases most of the time are mobile. Due to the highly non-linear nature of multi-phase flow dynamics in porous media, relative permeability is one of the foremost vaguely understood phenomena in fluid flow transport. At the same time, in no uncertain terms, relative permeability is one of the most important rock-fluid properties required almost in all calculations of multi-phase flow dynamics in porous media.
The two-phase relative permeabilities are direct non-linear functions of phase saturations. They are known to be affected by several other parameters other than phase saturations, such as saturation history, pore size distribution and pore structure, wettability, porosity, permeability, interfacial tension, fluid viscosity, immobile third-phase saturation1, etc. The relative influences of these parameters on relative permeability characteristics are not yet thoroughly understood and quantified.
The three-phase relative permeabilities are also influenced by some similar factors affecting the flow in two-phase systems. Nevertheless, in comparison to the two-phase relative permeabilities, considerably less are known about three-phase relative permeability characteristics of a reservoir rock. Three-phase relative permeabilities are more complicated to determine experimentally than two-phase relative permeabilities. However, three-phase relative permeability data are also always required in field performance calculations for various recovery methods involving the flow of three fluids together. Therefore, a good characterization of relative permeabilities enables petroleum engineers to evaluate reservoir performance, forecast ultimate recovery, and investigate the efficiency of improved oil recovery techniques. This is why the acquisition of accurate relative permeability data is almost critical and has always been a focal point of interest.