A model for transient flow in porous media embedded with randomly distributed tree-shaped fractal networks

被引：8
|
作者：
Tan, Xiao-Hua [1 ]
Li, Xiao-Ping [1 ]
Liu, Jian-Yi [1 ]
Zhang, Lie-Hui [1 ]
Cai, Jianchao [2 ]
机构：
[1] Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Peoples R China
[2] China Univ Geosci, Hubei Subsurface Multiscale Imaging Key Lab Inst, Wuhan 430074, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2015年 / 29卷 / 19期
基金：
中国国家自然科学基金;
关键词：
Flow in porous media; fractal; tree-shaped network; random distribution; transient flow; STARTING PRESSURE-GRADIENT; SPONTANEOUS IMBIBITION; PERMEABILITY; OPTIMIZATION;
D O I：
10.1142/S0217979215501350
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
A model for transient flow in porous media embedded with randomly distributed tree-shaped fractal networks was presented based on the fractal properties of tree-shaped capillaries and generalized Darcy's law. The dimensionless expression of flowing pressure was developed using the Laplace transform and Stehfest numerical inversion method. The bilogarithmic type curves were illustrated and the influences of different fractal factors on dimensionless flowing pressure were also discussed. The presented study indicated that the fractal characteristics for the tree-shaped fractal networks should be considered in analysis of transient flow in the heterogeneous porous media. The proposed model may be conducible to a better understanding of the mechanism for transient flow in the multi-porosity porous media.
引用
收藏
页数：17
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