AI 中文总结
该研究构建水渗透与水化反应耦合的一维模型，推导其闭合解，揭示自由边界的动态行为，为量化耦合运移与反应系统的重要行为提供分析工具。
AI 中文摘要
我们提出了一个与地球近地表耦合运移和化学过程相关的、水渗透与水化反应耦合的一维模型。在该模型中，分隔饱和区与干燥区的锐界面随时间演化，形成移动自由边界问题。与文献中近期提出的数值处理结果一致，该解揭示了自由边界的有趣动态：在早期，对于给定的孔隙度，渗透前锋呈现特定的时间平方根行为；在后期，取决于水化反应的消耗情况，前锋推进可呈现平方根、线性或指数形式。所提出的闭合解为量化耦合运移与反应系统的重要行为提供了分析工具。
英文摘要
We present a one-dimensional model for water infiltration coupled with a hydration reaction, relevant to coupled transport and chemical processes in the Earth's subsurface. In this model the sharp interface separating the saturated and dry regions evolves over time, leading to a moving free boundary problem. Consistent with recently presented numerical treatments in the literature, this solution indicates an interesting dynamic for the free boundary. At early time, for a given domain porosity, the infiltration front advances with a specific square-root-in-time behavior. At later time, depending on the consumption of the hydration reaction, the front advance can exhibit square-root, linear, or exponential forms. The presented closed solution provides an analytical tool that can be used to quantify important behavior in coupled transport and reaction systems.
Comments8 pages, 1 figure
