Fractal model for predicting effective diffusion coefficient of solute in porous media
Fractal model for predicting effective diffusion coefficient of solute in porous media
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发表时间：
2004
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通讯作者：
Nie Yong-feng
中科院分区：
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作者：
Nie Yong-feng
利用分形理论，探索了一种预测溶质在多孔介质中有效扩散系数的新方法。建立了分形毛细管模型，并推导了幂律方程。幂指数是孔隙体积分形维数和表面分形维数的函数，分别表征了孔隙的分级结构和弯曲程度。通过对粘性土分形维数与有效扩散系数实验数据的分析比较，表明所推导的幂律方程可用于预测溶质在多孔介质中的有效扩散系数。
An alternative method is explored to predict effective diffusion coefficient of solute in porous media by using the fractal approach. A fractal capillary tube model is established to be an improvement of the classical sinuous capillary tube model and a power law equation is derived. The power exponent is a function of pore volume fractal dimension and surface fractal dimension, which respectively characterize the hierarchical structure and the tortuosity of pores. Analytical comparison of the reported experimental data of fractal dimension of clayey soils with the corresponding effective diffusion coefficients indicates that the derived power law equation is valid to predict the effective diffusion coefficient of solute in porous media.