图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
多孔介质期刊
影响因子: 1.752 5年影响因子: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

卷:
卷 23, 2020 卷 22, 2019 卷 21, 2018 卷 20, 2017 卷 19, 2016 卷 18, 2015 卷 17, 2014 卷 16, 2013 卷 15, 2012 卷 14, 2011 卷 13, 2010 卷 12, 2009 卷 11, 2008 卷 10, 2007 卷 9, 2006 卷 8, 2005 卷 7, 2004 卷 6, 2003 卷 5, 2002 卷 4, 2001 卷 3, 2000 卷 2, 1999 卷 1, 1998

多孔介质期刊

DOI: 10.1615/JPorMedia.2018028699
pages 1-19

HOMOGENIZE COUPLED STOKES–CAHN–HILLIARD SYSTEM TO DARCY'S LAW FOR TWO-PHASE FLUID FLOW IN POROUS MEDIUM BY VOLUME AVERAGING

Jie Chen
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, P.R. China 710049
Shuyu Sun
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, P.R. China 710049; Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia
Zhengkang He
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, P.R. China 710049

ABSTRACT

A technique of local volume averaging is applied to obtain general equations that depict mass and momentum transport of incompressible two-phase flow in porous media. Starting from coupled Stokes–Cahn–Hilliard equations for incompressible two-phase fluid flow, the averaging is performed without oversimplifying either the porous media or the fluid mechanical relations. The resulting equations are Darcy's law for two-phase flow with medium parameters which could be evaluated by experiment. The Richards equation of the mixed form can be deduced from the resulting equations. The differences between the resulting equations and the empirical two-phase fluid flow model adopted in oil industry are discussed using several numerical examples.


Articles with similar content:

HEAT TRANSFER AND FLOW CHARACTERISTICS IN CONDUCTIVE POROUS MEDIA WITH ENERGY GENERATION
International Heat Transfer Conference 4, Vol.34, 1970, issue
M. M. El-Wakil, W.U. Choudhury
NUMERICAL SIMULATION OF THE FILLING PROCESS IN DOMAINS PARTIALLY FILLED WITH POROUS MEDIA
ICHMT DIGITAL LIBRARY ONLINE, Vol.11, 2004, issue
Vitor Costa
SINGLE-PHASE FLOWS IN SWELLING, LIQUID-ABSORBING POROUS MEDIA: A DERIVATION OF FLOW GOVERNING EQUATIONS USING THE VOLUME AVERAGING METHOD WITH A NONDETERMINISTIC, HEURISTIC APPROACH TO ASSESSING THE EFFECT OF SOLID-PHASE CHANGES
Journal of Porous Media, Vol.17, 2014, issue 10
Krishna Pillai
MULTISCALE MODEL FOR DAMAGE-FLUID FLOW IN FRACTURED POROUS MEDIA
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 4
Mahdad Eghbalian, Richard Wan
A CAHN-HILLIARD APPROACH TO THERMODIFFUSION IN POROUS MEDIA
Journal of Porous Media, Vol.22, 2019, issue 7
Melania Carfagna, Alfio Grillo