论文标题
饱和化学异质性多孔亚面的从扩散到对流受控污染物吸附的过渡
Transition from diffusion to advection controlled contaminant adsorption in saturated chemically heterogeneous porous subsurfaces
论文作者
论文摘要
我们表明了标量结构变形和混合对通过化学异质,部分吸附的多孔培养基运输的水源性污染物的命运的影响。通过孔隙尺度的模拟,我们遵循一个被动标量的动态,该被动标量注入了由化学惰性和吸附的球形颗粒的混合物组成的包装床中。通过更改在多孔体积中随机分布的Adorbers $ξ$的比例,我们发现水寄生的溶质形成浓度羽毛在成对的吸附粒子之间出现。这种变形是表征分子在近端和远程孔中分别相对于吸附者,扩散和对流的转运机制的结果。嵌入羽毛的iSscalar表面以与平均孔尺度速度$ u $成比例的速率生长,并且与Adersorbers的无尺寸无尺寸距离(即$γ\ Propto u/\ ell_Ell_ end_eeld_ξ$)成反比。我们提供了羽流$t_η\ propto \ell_ξ^2/d_m $的特征扩散时间尺度的量化,这消除了吸附剂附近的浓度差异。因此,通过量化对流的拉伸速率$γ$的相对重要性和羽流率$ 1/t_η$对于不同的吸附剂$ξ$的不同值的相对重要性,我们建立了从扩散到质量统治的巨大镜头的过渡,其时间演化的时间演化为$ \ propto propto propto propto propto \ sqrt $ $ sqrt $ sqrt and $ sqrt&sqrt and $ sqrt and c}这样的过渡取决于介质内的吸附剂量,分别在高和低部分的扩散和对流占主导地位。我们的数值分析提供了$ \ell_ξ/d \ of 4/\ ln(2)\ textIt {pe}^{ - 1} $作为设置过渡的adsorbers之间的临界距离,为$ d $ d $孔径。
We show the impact that scalar structures deformation and mixing has on the fate of plumes of waterborne contaminant transported through a chemically heterogeneous, partially adsorbing porous medium. Via pore-scale simulations, we follow the dynamic of a passive scalar injected in a packed bed consisting of a mixture of chemically inert and adsorbing spherical particles. By varying the fraction of the adsorbers $ξ$, randomly distributed in the porous volume, we find that the waterborne solute forms concentration plumes emerging between pairs of adsorbing particles. This deformation is a consequence of the different mechanisms of transport characterising the transport of molecules in the proximal and remote pores relative to the adsorbers, diffusion and advection, respectively. The resulting isoscalar surface embedding the plumes grows at a rate proportional to the average pore-scale velocity $U$ and inversely proportional to the adsorbers' interparticle dimensionless distance, i.e. $γ\propto U/\ell_ξ$. We provide a quantification of the characteristic diffusive time scale of the plume $t_η\propto \ell_ξ^2/D_m$, which dissipates the concentration differences in the vicinity of the adsorbers. Thus, by quantifying the relative importance of the advection-sustained stretching rate $γ$ and plume mixing rate $1/t_η$ for different values of fraction of adsorbers $ξ$, we establish a transition from diffusion- to advection- dominated macroscopic adsorption, whose time evolutions scale as $\propto \sqrt{t}$ and $\propto t$, respectively. Such a transition is determined by the amount of adsorbers within the medium, with diffusion and advection dominating at high and low fractions, respectively. Our numerical analysis provides $\ell_ξ/d \approx 4/\ln(2) \textit{Pe}^{-1}$ as the critical distance between adsorbers that sets the transition, being $d$ the pore size.