Calculation of relative permeability in reservoir engineering using an interacting triangular tube bundle model--颗粒学报PARTICUOLOGY

Wang, J., Dong, M., & Yao, J. (2012). Calculation of relative permeability in reservoir engineering using an interacting triangular tube bundle model. Particuology, 10(6), 710–721. https://doi.org/10.1016/j.partic.2012.05.003

Calculation of relative permeability in reservoir engineering using an interacting triangular tube bundle model

Jinxun Wang ^a, Mingzhe Dong ^{a b *}, Jun Yao ^b

a Department of Chemical and Petroleum Engineering, University of Calgary, Calgary, AB, Canada T2N 1N4
b College of Petroleum Engineering, China University of Petroleum (East), Qingdao, Shandong, China

10.1016/j.partic.2012.05.003

Volume 10, Issue 6,, December 2012, Pages 710-721

Received 19 October 2011, Revised 22 March 2012, Accepted 10 May 2012, Available online 25 August 2012.

E-mail: mingzhe.dong@ucalgary.ca

Highlights

► Core relative permeability is determined using interacting tube bundle model.

► Method of history-matching displacement tests is introduced.

► Model parameters in determining relative permeability curves are analyzed.

► Connection between macroscopic flow and pore-scale characteristics is built.

Abstract

Analytical expressions of relative permeability are derived for an interacting cylindrical tube bundle model. Equations for determining relative permeability curves from both the interacting uniform and interacting serial types of triangular tube bundle models are presented. Model parameters affecting the trend of relative permeability curves are discussed. Interacting triangular tube bundle models are used to history-match laboratory displacement experiments to determine the relative permeability curves of actual core samples. By adjusting model parameters to match the history of oil production and pressure drop, the estimated relative permeability curves provide a connection between the macroscopic flow behavior and the pore-scale characteristics of core samples.

Graphical abstract

Keywords

Interacting tube bundle model; Porous media; Modeling; Relative permeability; Imbibition

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