A fractal permeability model for bi-dispersed porous media
A fractal permeability model for bi-dispersed porous media
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DOI：
10.1016/s0017-9310(02)00014-5
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发表时间：
2002-07-01
影响因子：
5.2
通讯作者：
Cheng, P
中科院分区：
文献类型：
--
作者：
Yu, BM;Cheng, P
本文根据双分散多孔介质孔隙的分形特征，建立了双分散多孔介质分形渗透率模型。分形渗透率模型被发现是一个函数的曲折分形维数，孔隙面积分形维数，颗粒和集群的大小，集群内的微孔隙度，和介质的有效孔隙度。用Sierpinski型垫片近似晶胞，给出了孔面积分形维数的解析表达式。用盒计数法测定了多孔样品的孔面积分形维数和曲折度分形维数。这种渗透率的分形模型不包含任何经验常数。为了验证模型的有效性，将基于分形模型的渗透率预测值与实测值进行了对比。渗透率分形模型预测值与实验值吻合较好，验证了双分散多孔介质分形渗透率模型的有效性。(C)2002爱思唯尔科技有限公司版权所有。
In this paper a fractal permeability model for bi-dispersed porous media is developed based on the fractal characteristics of pores in the media. The fractal permeability model is found to be a function of the tortuosity fractal dimension, pore area fractal dimension, sizes of particles and clusters, micro-porosity inside clusters, and the effective porosity of a medium. An analytical expression for the pore area fractal dimension is presented by approximating the unit cell by the Sierpinski-type gasket. The pore area fractal dimension and the tortuosity fractal dimension of the porous samples are determined by the box counting method. This fractal model for permeability does not contain any empirical constants. To verify the validity of the model, the predicted permeability data based on the present fractal model are compared with those of measurements. A good agreement between the fractal model prediction of permeability and experimental data is found. This verifies the validity of the present fractal permeability model for bi-dispersed porous media. (C) 2002 Elsevier Science Ltd. All rights reserved.