ISSN 1000-3665 CN 11-2202/P

    地下水典型非水相液体污染运移模拟的尺度提升研究

    Upscaling of PCE transport modeling based on UTCHEM in heterogeneous porous media

    • 摘要: 在地下水数值模拟中,模型参数的网格尺度一般大于参数的测量尺度,为此涉及到参数的尺度提升。合理的尺度提升方法既能有效提高计算效率,又能保证模拟精度。在概略介绍拉普拉斯-外壳法的基础上,将其引入到地下水典型非水相液体(non-aqueous phase liquids, NAPLs)污染运移数值模拟的非均质渗透系数场尺度提升,并与尺度提升前的小尺度模型及基于算术平均的尺度提升模拟结果进行对比。研究表明:采用UTCHEM建立的典型NAPLs污染物运移模型,无论是单一污染源还是双重污染源,基于拉普拉斯-外壳法提升尺度后的大尺度模型都能较好地刻画污染羽的空间矩(包括零阶矩、一阶矩和二阶距)随时间的变化,其零阶矩的模拟相对误差小于0.25%,在水流方向上利用拉普拉斯-外壳法建立的模型对质心位置与污染羽范围的估计均优于算术平均尺度提升法所建模型,且随着含水介质非均质性的增大,拉普拉斯-外壳法的优越性越为明显;而且大尺度模型还能大幅减少计算时间,耗时约为小尺度模型的3%,值得推广应用。

       

      Abstract: Upscaling is often employed in numerical simulation of groundwater flow because the parameters are measured in the field on a support scale, which is much smaller than the discretization scale of the numerical model. A reasonable upscaling method can both improve the calculation efficiency and ensure the simulation accuracy. The method is applied to the upscaling of heterogeneous hydraulic conductivity fields in the numerical contaminant transport model of perchloroethylene (PCE), a typical non-aqueous phase liquid (NAPL) in groundwater, on the basis of the introduction of Laplacian with skin. The simulation results are also compared with those from the fine scale model and the coarse scale model upscaled by arithmetic average. The case study shows that the PCE contaminant transport model established by UTCHEM, which is upscaled by Laplacian with skin, can better describe the spatial moments (including the zero moment, the first moment and the second moment) of the plume over time, whether for the single source situation or dual sources situation. The absolute value of the relative error of the zero moment is less than 0.25%. Moreover, the coarse scale model only takes about 3% of the calculation time of the fine scale one, indicating that the methodology of Laplacian with skin is worth promoting in practice.

       

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