Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.061 Facteur d'impact sur 5 ans: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

Volumes:
Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i4.10
pages 279-285

MATHEMATICAL MODEL AND ANALYTICAL SOLUTIONS FOR UNSTEADY FLOW IN NATURAL GAS RESERVOIRS

Binshan Ju
School of Energy Resources, China University of Geosciences, Beijing, 100083, China

RÉSUMÉ

The effects of pressure on the gas viscosity and compressibility factor lead to a nonlinear partial differential equation for the flow in a gas reservoir even if the flow process follows Darcy's law at isothermal conditions. For further study on gas flow performances in gas reservoirs, a mathematical model of gas flow is developed in this article. Exact analytical solutions of one-dimensional unsteady gas flow at low and high pressures in gas reservoirs are obtained by transferring the nonlinear partial differential equation into a nonlinear ordinary differential equation. The numerical solutions obtained by finite difference for two cases of low- and high-pressure condition are given to validate the analytical solutions presented in this work. The key parameters, such as viscosity index, permeability, and porosity, to determine the characteristic of pressure distribution in porous media are analyzed in this work. The solutions at high pressures imply that it leads to obvious errors for prediction pressure distribution when ignoring pressure's effects on gas viscosity and compressibility factor for gas flow at high pressures in deep gas reservoirs. Both the increase in viscosity index and the decrease in permeability lead to an increase in pressure gradients along the distance.


Articles with similar content:

On Heat Transfer Analysis for an Oscillatory Flow of a Second-Grade Fluid through a Porous Medium
Journal of Porous Media, Vol.10, 2007, issue 6
Saleem Ashgar, Zaheer Abbas
Dispersion in Oscillatory Couette Flow with Absorbing Boundaries
International Journal of Fluid Mechanics Research, Vol.35, 2008, issue 5
B. S. Mazumder, Suvadip Paul
CONDITION FOR NEGLECTING UPSTREAM CONDITIONS WHEN SIMULATING FLOW IN GRANULAR BEDS
Journal of Porous Media, Vol.14, 2011, issue 10
Mouaouia Firdaouss, M. Pons
BEHAVIOUR OF SWIRL ATOMIZERS OF SMALL DIMENSIONS
ICLASS 94
Proceedings of the Sixth International Conference on Liquid Atomization and Spray Systems, Vol.0, 1994, issue
D. Dupouy, B. Flores, Christophe Dumouchel, D. Lisiecki
FLOW ANALYSIS OF NON-NEWTONIAN VISCOELASTIC FLUIDS IN POROUS MEDIA
Journal of Porous Media, Vol.13, 2010, issue 5
Huiping Hu, Dengke Tong