Linear Regression to Predict Two-Phase Relative Permeability of Fracture Network

چکیده مقاله

The process mechanism of two-phase flow through fractures is so important under reservoir conditions. Studies using synthetic fractures and various fluids have yielded different relative permeability-saturation relations at different conditions. In this study, we use a data set of nitrogen-water experiments, which were obtained for both smooth and rough parallel plates (Gracel P. Diomampo 2001), under imbibition and drainage process. For both smooth and rough-walled fractures a clear relationship between relative permeability and saturation was observed. In the absence of laboratory measured data or for having more description of fluid flow characteristic, empirical relative permeability correlations become useful. Linear regression model approach can be used to develop prediction equations for water-oil, gas-oil, gas-water, and gas-condensate relative permeabilities from experimental data. Objective of this study is develop fracture relative permeability (FRP) models. Developed FRP equations were obtained from smooth-wall and rough wall fracture of both imbibition and drainage processes, show an acceptable compatibility with the experimental data and another analytical and experimental equations. However, instead of X-model, the developed equation can be used in commercial simulators as a basic equation to obtain better results.

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