Liyanage Rebecca, Cen Jiajun, Krevor Samuel, Crawshaw John P, Pini Ronny
1Department of Chemical Engineering, Imperial College London, London, UK.
2Qatar Carbonates and Carbon Storage Research Centre, Imperial College London, London, UK.
Transp Porous Media. 2019;126(2):355-378. doi: 10.1007/s11242-018-1158-3. Epub 2018 Oct 1.
We present an experimental study of dissolution-driven convection in a three-dimensional porous medium formed from a dense random packing of glass beads. Measurements are conducted using the model fluid system MEG/water in the regime of Rayleigh numbers, . X-ray computed tomography is applied to image the spatial and temporal evolution of the solute plume non-invasively. The tomograms are used to compute macroscopic quantities including the rate of dissolution and horizontally averaged concentration profiles, and enable the visualisation of the flow patterns that arise upon mixing at a spatial resolution of about ( . The latter highlights that under this regime convection becomes truly three-dimensional with the emergence of characteristic patterns that closely resemble the dynamical flow structures produced by high-resolution numerical simulations reported in the literature. We observe that the mixing process evolves systematically through three stages, starting from pure diffusion, followed by convection-dominated and shutdown. A modified diffusion equation is applied to model the convective process with an onset time of convection that compares favourably with the literature data and an effective diffusion coefficient that is almost two orders of magnitude larger than the molecular diffusivity of the solute. The comparison of the experimental observations of convective mixing against their numerical counterparts of the purely diffusive scenario enables the estimation of a non-dimensional convective mass flux in terms of the Sherwood number, . We observe that the latter scales linearly with , in agreement with both experimental and numerical studies on thermal convection over the same regime.
我们展示了一项关于由玻璃珠密集随机堆积形成的三维多孔介质中溶解驱动对流的实验研究。测量是在瑞利数为……的范围内使用模型流体系统MEG/水进行的。应用X射线计算机断层扫描以非侵入方式对溶质羽流的空间和时间演化进行成像。断层扫描用于计算宏观量,包括溶解速率和水平平均浓度分布,并能够以约……的空间分辨率可视化混合时出现的流动模式。后者突出表明,在该……范围内,对流随着特征模式的出现而真正变为三维,这些特征模式与文献中报道的高分辨率数值模拟产生的动态流动结构非常相似。我们观察到混合过程系统地经历三个阶段,从纯扩散开始,接着是对流主导阶段和停止阶段。应用一个修正的扩散方程来模拟对流过程,其对流起始时间与文献数据相比具有优势,有效扩散系数比溶质的分子扩散率大近两个数量级。将对流混合的实验观测结果与纯扩散情况的数值对应结果进行比较,能够根据舍伍德数……估算无量纲对流质量通量。我们观察到后者与……呈线性比例关系,这与在相同……范围内关于热对流的实验和数值研究一致。