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: 1.49 5年影响因子: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v14.i12.30
pages 1077-1086

DEPENDENCE OF SINGLE-PHASE AND MULTIPHASE PERMEABILITY ON CAPILLARY PRESSURE: A UNIFIED APPROACH

B. Markicevic
Department of Mechanical Engineering, Kettering University, Flint, Michigan 48504, USA
Ned Djilali
Institute for Integrated Energy Systems and Department of Mechanical Engineering, University of Victoria, PO Box 1700, Victoria, BC V8W 2Y2, Canada

ABSTRACT

We present a formulation to predict simultaneously the porous medium (single-phase) permeability, and the multiphase flow permeability of a non-wetting liquid in the limit of slow flow. The formulation is based on a new set of mixing rules in which weighting coefficients are obtained from the capillary pressure in the breakthrough point. These weights are calculated by mixing the harmonic average capillary pressure of the actual heterogeneous sample and the capillary pressure of a corresponding homogeneous medium. The porous medium (single phase) and the phase permeability are, on the other hand, found using two length scales: the first determined from the capillary pressure in the breakthrough point and the second calculated again using the homogeneous sample. This formulation is successfully validated for a slow drainage using capillary network simulations based on the invasion percolation mechanism with phase trapping. In the numerical simulations, both network heterogeneity and network size are varied. The simulations reveal that with increasing medium heterogeneity, the porous medium permeability (single phase) decreases, whereas for multiphase flow, the mobile phase permeability and the capillary pressure increase. For a sufficiently large domain (network) size, all three parameters are independent of domain size. The analytical mixing rules capture all of these dependencies, and very good agreement between analytical and numerical results is found.


Articles with similar content:

Flow Laws in Metallic Foams: Experimental Determination of Inertial and Viscous Contributions
Journal of Porous Media, Vol.10, 2007, issue 1
Fabrice Rigollet, Brahim Madani, Lounes Tadrist, Frederic Topin
Pore-Scale Model for Reactive Transport and Biomass Growth
Journal of Porous Media, Vol.12, 2009, issue 5
Timothy D. Scheibe, Paul Meakin, Alexandre M. Tartakovsky
Momentum transfer at a fluid/porous interface
International Heat Transfer Conference 12, Vol.31, 2002, issue
Daniel Lhuillier, Dominique Gobin, Benoit Goyeau
A GENERAL FORMULA FOR CAPILLARY SUCTION-PRESSURE IN POROUS MEDIA
Journal of Porous Media, Vol.15, 2012, issue 8
Krishna Pillai, Reza Masoodi
A COMPREHENSIVE ANALYSIS OF THE SEEPAGE CHARACTERS OF NON-NEWTONIAN FLUIDS IN FRACTAL POROUS MEDIA
Journal of Porous Media, Vol.17, 2014, issue 12
Tongjun Miao, Fuquan Song, Boming Yu, Hongjing Gao, Yeheng Sun, Shiming Zhang, Xiaodong Wu