中文摘要：

为了量化多孔介质中的非费克（non-Fickian）运移,将弥散度处理为随运移距离呈线性变化的函数,提出了数学模型LAF（linear-asymptotic function）,并开展了不同条件下一维玻璃柱多孔介质溶质运移实验,根据实验数据对比分析了LAF模型与传统ADE（advection-dispersion equation）模型的精度.结果表明：尽管在水流满足达西定律范畴,采用将弥散度在小尺度实验中设定为定值的ADE模型,其拟合值与实验值仍存在一定差异,最大误差为1.57g/L;将弥散度处理为线性函数的LAF模型模拟精度有了较大提高,最大误差为0.62g/L,从而能够更好地模拟均质有限柱溶质运移过程.上述结论是在均质介质中获得,对于非均质介质,情况更为复杂,其机理有待进一步研究.

英文摘要：

To quantify the non-Fickian transport in porous media, a linear function was employed to characterize the relationship between the dispersivity and migration distance, a mathematical model LAF （Linear-Asymptotic Function） was presented, solute transport tests in one-dimensional glass column were carried out, and the accuracy of LAF was contrasted with the traditional ADE （advection--dispersion equation） models according to experimental data. The results show that, although the flow satisfies Darcy~s law, there are some differences between the experimental values and the fitted values obtained from the ADE model treating the dispersivity as a constant（the maximal error value being 1.57 g/L）.Thesimulation accuracy is enhanced when the dispersivity is treated as a linear function of LAF： the maximal error value is 0.62 g/L. It can better simulate solute transport in the homogeneous finite column. These conclusions have been obtained in homogeneous media. The situation is more complicated in heterogeneous porous media, and the mechanism needs further research.