# [1]牟新竹,陈振乾.多尺度分形多孔介质气体有效扩散系数的数学模型[J].东南大学学报(自然科学版),2019,49(3):520-526.[doi:10.3969/j.issn.1001-0505.2019.03.017] 　Mou Xinzhu,Chen Zhenqian.Mathematical model for effective gas diffusion coefficient in multi-scale fractal porous media[J].Journal of Southeast University (Natural Science Edition),2019,49(3):520-526.[doi:10.3969/j.issn.1001-0505.2019.03.017] 点击复制 多尺度分形多孔介质气体有效扩散系数的数学模型() 分享到： var jiathis_config = { data_track_clickback: true };

49

2019年第3期

520-526

2019-05-20

## 文章信息/Info

Title:
Mathematical model for effective gas diffusion coefficient in multi-scale fractal porous media

Author(s):
School of Energy and Environment, Southeast University, Nanjing 210096, China

Keywords:

TK121
DOI:
10.3969/j.issn.1001-0505.2019.03.017

Abstract:
Based on the capillary hypothesis and fractal theory, a mathematical model for calculating the effective gas diffusion coefficient in porous media was established. By using the fractal geometry theory, the pore area fractal dimension, the tortuosity fractal dimension and the pore connectivity were introduced to quantitatively characterize the real internal structure in the porous media, and the fractal model for the microscopic pore structure in the porous media was established. The gas diffusion in the porous media on different scales was systematically studied. An effective gas diffusion coefficient model for the fractal porous media was derived, and the influence of multi-scale porous media microstructure parameters on the effective gas diffusion coefficient was discussed. The results show that effective gas diffusion coefficient approximates to linearly increase with the increase of porosity, the pore area fractal dimension and the effective gas diffusion coefficient is positive correlation, but the tortuosity fractal dimension is negative correlation with it. In the case of different porosities, the gas effective diffusion coefficient varies with the change of the pore diameter ratio, the effective gas diffusion coefficient increases with the increase of pore connectivity.

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