Darcy- And Pore-Scale Issues Associated With Multi-Phase Fluid Flow Through A Petroleum Reservoir

Suresh Kumar Govindarajan (), Avanish Mishra and Abhishek Kumar
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Suresh Kumar Govindarajan: Professor, Reservoir Simulation Laboratory, Petroleum Engineering Programme, Department of Ocean Engineering, Indian Institute of Technology – Madras, Chennai, India
Avanish Mishra: Research Scholar, Reservoir Simulation Laboratory, Petroleum Engineering Programme, Department of Ocean Engineering, Indian Institute of Technology – Madras, Chennai, India.
Abhishek Kumar: Research Scholar, Reservoir Simulation Laboratory, Petroleum Engineering Programme, Department of Ocean Engineering, Indian Institute of Technology – Madras, Chennai, India.

Earth Sciences Malaysia (ESMY), 2020, vol. 4, issue 2, 108-117

Abstract: This manuscript primarily focuses on the constraints associated with the extended version of Darcy’s law that is used to describe the multiphase flow through a porous media; and in particular, a petroleum reservoir. This manuscript clearly brings out the basics associated with the usage of Darcy’s law, and reasons out the inapplicability of the Navier-Stokes Equation in order to describe the momentum conservation in a typical petroleum reservoir. Further, this work highlights the essence of continuum-based Darcy’s macroscopic-scale equation with that of Navier-Stokes’s microscopic-scale equation. Further, the absence of capillary forces in original Darcy’s equation and extending the same by considering the concept of ‘capillary pressure’ in order to accommodate the multi-phase flow has several critical constraints associated with it. In this manuscript, all these constraints or limitations have been posed in the form of a list of basic queries that need to be addressed or at least to be understood with clarity, when applying the multi-phase fluid flow equations associated with a petroleum reservoir. This study is limited to an oil-water two-phase system.

Keywords: Hydrocarbon reservoir; oil-water system; capillary pressure; reservoir up-scaling; Darcy’s equation.Journal: Earth Sciences Malaysia (ESMY) (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbesmy:v:4:y:2020:i:2:p:108-117

DOI: 10.26480/esmy.02.2020.108.117

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