Analytical Solutions to Gas Flow Problems in Low Permeability Porous Media

In most of conventional porous media the flow of gas is basically controlled by the permeability and the contribution of gas flow due to gas diffusion is ignored. The diffusion effect may have significant impact on gas flow behavior, especially in low permeability porous media. In this study, a dual...

Full description

Saved in:
Bibliographic Details
Published in:Transport in porous media 2011-03, Vol.87 (2), p.421-436
Main Authors: Beygi, Mahdi Esmail, Rashidi, Fariborz
Format: Article
Language:English
Subjects:
Civil Engineering
Classical and Continuum Physics
Data analysis
Design engineering
Diffusion coefficient
Diffusion effects
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Equilibrium flow
Exact sciences and technology
Exact solutions
Flow equations
Gas flow
Gaseous diffusion
Geotechnical Engineering & Applied Earth Sciences
Hydrocarbons
Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Laboratories
Mathematical analysis
Permeability
Plugs
Porous media
Real gases
Sedimentary rocks
Steady state
Test procedures
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In most of conventional porous media the flow of gas is basically controlled by the permeability and the contribution of gas flow due to gas diffusion is ignored. The diffusion effect may have significant impact on gas flow behavior, especially in low permeability porous media. In this study, a dual mechanism based on Darcy flow as well as diffusion is presented for the gas flow in homogeneous porous media. Then, a novel form of pseudo pressure function was defined. This study presents a set of novel analytical solutions developed for analyzing steady-state and transient gas flow through porous media including effective diffusion. The analytical solutions are obtained using the real gas pseudo pressure function that incorporates the effective diffusion. Furthermore, the conventional assumption was used for linearizing the gas flow equation. As application examples, the new analytical solutions have been used to design new laboratory and field testing method to determine the porous media parameters. The proposed laboratory analysis method is also used to analyze data from steady-state flow tests of three core plugs. Then, permeability ( k ) and effective diffusion coefficient ( D e ) was determined; however, the new method allows one to analyze data from both transient and steady-state tests in various flow geometries.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-010-9692-7