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Chin. Phys. B, 2012, Vol. 21(10): 100201    DOI: 10.1088/1674-1056/21/10/100201
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Simulation of the relationship between porosity and tortuosity in porous media with cubic particles

Tang Xiao-Wu, Sun Zu-Feng, Cheng Guan-Chu
MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China
Abstract  Tortuosity is an important parameter used in areas such as vascular medicine, neurobiology, and the field of soil permeability and diffusion to express the mass transport in porous media. It is a function of the porosity and the shape and distribution of particles. In this paper, the tortuosity of cubic particles is calculated. With the assumption that the porous medium is homogeneous, the problem is converted to the micro-level over a unit cell, and geometry models of flow paths are proposed. In three-dimensional (3D) cells, the flow paths are too complicated to define. Hence, the 3D models are converted to two-dimensional (2D) models to simplify the calculation process. It is noticed that the path in the 2D model is shorter than that in the 3D model. As a result, triangular particles and the interaction are also taken into consideration to account for the longer distance respectively. We have proposed quadrate particle and interaction (QI) and quadrate and triangular particle (QT) models with cubic particles. Both models have shown good agreement with the experimental data. It is also found that they can predict the toruosities of some kinds of porous media, like freshwater sediment and Negev chalk.
Keywords:  tortuosity      porosity      porous media      cubic particles  
Received:  17 February 2012      Revised:  22 April 2012      Published:  01 September 2012
PACS:  02.10.-v (Logic, set theory, and algebra)  
  02.30.-f (Function theory, analysis)  
Fund: Project supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090101110075) and the Key Innovation Team Support Project of Zhejiang Province, China (Grant No. 2009R50050).
Corresponding Authors:  Tang Xiao-Wu     E-mail:

Cite this article: 

Tang Xiao-Wu, Sun Zu-Feng, Cheng Guan-Chu Simulation of the relationship between porosity and tortuosity in porous media with cubic particles 2012 Chin. Phys. B 21 100201

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