标题： 饱和度对多孔介质中蒸发驱动密度不稳定性的影响：数学与数值分析 显示英文标题

标题： Impact of saturation on evaporation-driven density instabilities in porous media: mathematical and numerical analysis

摘要： 从部分饱和盐水的多孔介质中蒸发，会导致水离开时盐分留在后面，从而使多孔介质顶部的盐度（盐浓度）增加。 由于水的密度随着盐浓度的增加而增加，蒸发会导致重力不稳定的环境，其中可以形成密度不稳定性。 是否形成密度不稳定性，取决于一系列参数，如蒸发速率和多孔介质的固有渗透率，但也取决于水的饱和度。 随着水饱和度的降低，盐的储存、对流和扩散也会减少，这都会影响不稳定性的发展。 通过对控制方程进行线性稳定性分析，我们给出了不稳定性发生的条件。 数值模拟提供了这些不稳定性进一步发展的信息。 通过这些知识，我们可以预测密度不稳定性是否会以及何时发生，以及它们将如何影响多孔介质中盐浓度的进一步发展。 显示英文摘要

摘要： Evaporation from a porous medium partially saturated with saline water, causes the salinity (salt concentration) to increase near the top of the porous medium as water leaves while salt stays behind. As the density of the water increases with increased salt concentration, the evaporation leads to a gravitational unstable setting, where density instabilities can form. Whether density instabilities form, depends on a large range of parameters like the evaporation rate and intrinsic permeability of the porous medium, but also on the water saturation. As water saturation decreases, the storage, convection and diffusion of salt also decrease, which all influence the onset of instabilities. By performing a linear stability analysis on the governing equations, we give criteria for onset of instabilities. Numerical simulations give information about the further development of these instabilities. With this knowledge we can predict whether and when density instabilities occur, and how they will influence the further development of salt concentration in the porous medium.