文献类型：期刊文献

英文题名：Estimating permeability of porous media based on modified Hagen-Poiseuille flow in tortuous capillaries with variable lengths

作者：Liu, Richeng[1,2];Jiang, Yujing[2,4,5];Li, Bo[3];Yu, Liyuan[1]

机构：[1]China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China;[2]Nagasaki Univ, Sch Engn, Nagasaki 8528521, Japan;[3]Shaoxing Univ, Rock Mech & Geohazards Ctr, Shaoxing 312000, Peoples R China;[4]Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China;[5]Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China

年份：2016

卷号：20

期号：8

外文期刊名：MICROFLUIDICS AND NANOFLUIDICS

收录：SCI-EXPANDED(收录号：WOS:000382111600010)、、EI(收录号：20163402722304)、Scopus(收录号：2-s2.0-84981703897)、WOS

基金：This study has been partially funded by National Basic Research 973 Program of China (Grant No. 2013CB036003) and National Natural Science Foundation of China (Grant Nos. 51379117, 51579239, 41427802). These supports are gratefully acknowledged.

语种：英文

外文关键词：Permeability; Porous media; Capillary network; Fractal; Tortuosity; Model scale

外文摘要：Fractal analysis of permeability of porous media has received much attention over several decades. Many traditional and recently presented fractal models are derived based on Hagen-Poiseuille (H-P) flow in circular-shaped straight/tortuous capillaries that cut through the model. However, the real capillaries in the nature have different lengths and variably-shaped cross sections. In this study, a fractal scaling law for length distribution of capillaries in porous media was derived and its validity was verified by comparisons of fractal dimensions for length distribution between calculated and theoretical values, and then we proposed a modified H-P equation that considers the fractal properties of capillary length and capillary shape. Based on a discrete element method (DEM) code, a series of capillary network models were established and their equivalent permeability was calculated by solving the modified H-P equation. Some empirical expressions were given, which could be utilized to predict the magnitudes of capillary number, equivalent permeability of porous media, the smallest side length of capillary networks at the representative elementary volume size, ratio of capillary network permeability to fracture network permeability, dimensionless permeability, where dimensionless permeability is defined as the ratio of equivalent permeability of models consist of variably-shaped capillaries to that of circular-shaped capillaries. The results show that the proposed fractal length distribution of capillaries, the modified H-P equation, and the developed DEM code can be used to calculate the equivalent permeability of porous media and that the capillaries cannot always be assumed to cut through the model with circular shapes.