中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100201-100201.doi: 10.1088/1674-1056/21/10/100201

• GENERAL •    下一篇

Simulation of the relationship between porosity and tortuosity in porous media with cubic particles

唐晓武, 孙祖峰, 程冠初   

  1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China
  • 收稿日期:2012-02-17 修回日期:2012-04-22 出版日期:2012-09-01 发布日期:2012-09-01
  • 基金资助:
    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).

Simulation of the relationship between porosity and tortuosity in porous media with cubic particles

Tang Xiao-Wu (唐晓武), Sun Zu-Feng (孙祖峰), Cheng Guan-Chu (程冠初)   

  1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China
  • Received:2012-02-17 Revised:2012-04-22 Online:2012-09-01 Published:2012-09-01
  • Contact: Tang Xiao-Wu E-mail:tangxiaowu@zju.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: tortuosity, porosity, porous media, cubic particles

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.

Key words: tortuosity, porosity, porous media, cubic particles

中图分类号:  (Logic, set theory, and algebra)

  • 02.10.-v
02.30.-f (Function theory, analysis)