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Permeability determination in tight rock sample using novel method based on partial slip modelling and X-ray tomography data

Paweł Madejski (Department of Power Systems and Environmental Protection Facilities, Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Kraków, Poland)
Paulina Krakowska (Department of Geophysics, AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, Kraków, Poland)
Edyta Puskarczyk (Department of Geophysics, AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, Kraków, Poland)
Magdalena Habrat (Department of Geoinformatics and Applied Computer Science, AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, Kraków, Poland)
Mariusz Jędrychowski (Department of Condensed Matter Physics, AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, Kraków, Poland)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 4 June 2019

Issue publication date: 22 May 2020

118

Abstract

Purpose

The purpose of the paper was the application of computational fluid dynamics (CFD) techniques in fluid flow using Maxwell’s equation for partial slip modelling, estimating the flow parameters, and selecting tangential momentum accommodation coefficient (TMAC) for tight rock samples in permeability calculations.

Design/methodology/approach

The paper presents a numerical analysis of fluid flow in a low-porosity rock sample by using CFD. Modelling results allowed to determine mass flow rates in a rock sample and to calculate permeability values using a modified Darcy’s equation. Three-dimensional (3D) geometrical model of rock sample generated using computed X-ray tomography was used in the analysis. Steady-state calculations were carried out for defined boundary conditions in the form of pressure drop. The simulations were applied taking into account the slip phenomenon described by Maxwell’s slip model and TMAC.

Findings

Values of permeability were calculated for different values of TMAC, which vary from 0 to 1. Results in the form of gas mass flow rates were compared with the measured value of permeability for rock sample, which confirmed the high accuracy of the presented model.

Practical implications

Calculations of fluid flow in porous media using CFD can be used to determine rock samples’ permeability. In slip flow regime, Maxwell’s slip model can be applied and the empirical value of TMAC can be properly estimated.

Originality/value

This paper presents the usage of CFD, Maxwell’s equation for partial slip modelling, in fluid flow mechanism for tight rock samples. 3D geometric models were generated using created pre-processor (poROSE software) and applied in the raw form for simulation.

Keywords

Acknowledgements

Project is financed by the National Centre for Research and Development in Poland, program LIDER VI, project no. LIDER/319/L–6/14/NCBR/2015: Innovative method of unconventional oil and gas reservoirs interpretation using computed X-ray tomography.

Citation

Madejski, P., Krakowska, P., Puskarczyk, E., Habrat, M. and Jędrychowski, M. (2020), "Permeability determination in tight rock sample using novel method based on partial slip modelling and X-ray tomography data", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 6, pp. 3053-3063. https://doi.org/10.1108/HFF-11-2018-0711

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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