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Numerical simulation of density-driven natural convection in porous media with application for CO_2 injection projects

机译：密度驱动的多孔介质自然对流的数值模拟及其在CO_2注入项目中的应用

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In this paper we investigate the mass transfer of CO_2 injected into a homogenous (sub)-surface porous formation saturated with a liquid. In almost all cases of practical interest CO_2 is present on top of the liquid. Therefore, we perform our analysis to a porous medium that is impermeable from sides and that is exposed to CO_2 at the top. For this configuration density-driven natural convection enhances the mass transfer rate of CO_2 into the initially stagnant liquid. The analysis is done numerically using mass and momentum conservation laws and diffusion of CO_2 into the liquid. The effects of aspect ratio and the Rayleigh number, which is dependent on the characteristics of the porous medium and fluid properties, are studied. This configuration leads to an unstable flow process. Numerical computations do not show natural convection effects for homogeneous initial conditions. Therefore a sinusoidal perturbation is added for the initial top boundary condition. It is found that the mass transfer increases and concentration front moves faster with increasing Rayleigh number. The results of this paper have implications in enhanced oil recovery and CO_2 sequestration in aquifers.
机译：在本文中，我们研究了注入到液体饱和的均质（亚）表面多孔地层中的CO_2的传质过程。在几乎所有有实际意义的情况下，CO_2都存在于液体的顶部。因此，我们对多孔介质进行了分析，该介质从侧面是不可渗透的，并且在顶部暴露于CO_2。对于这种配置，密度驱动的自然对流提高了CO_2向最初停滞的液体的传质速率。使用质量守恒律和动量守恒律以及将CO_2扩散到液体中进行数值分析。研究了纵横比和瑞利数的影响，后者取决于多孔介质的特性和流体性质。这种构造导致流动过程不稳定。数值计算没有显示出均质初始条件下的自然对流效应。因此，为初始顶部边界条件添加了正弦扰动。发现随着瑞利数的增加，传质增加并且浓度前沿移动更快。本文的结果对提高含水层​​中的石油采收率和封存二氧化碳具有重要意义。

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