In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization techniques are discussed: the Newton method, the modified Picard, and the L-scheme. Based on these, monolithic and splitting schemes are proposed and their convergence is analyzed. The performance of these schemes is illustrated on five numerical examples. For these examples, the number of iterations and the condition numbers of the linear systems emerging in each iteration are presented.

中文翻译：

---

表面活性剂在多孔介质中传输的迭代方案

在这项工作中，我们考虑了表面活性剂在饱和饱和多孔介质中的传输。水流通过Richards方程建模，并与表面活性剂的输运方程完全耦合。讨论了三种线性化技术：牛顿法，改进的Picard和L方案。在此基础上，提出了整体方案和分裂方案，并对其收敛性进行了分析。在五个数值示例上说明了这些方案的性能。对于这些示例，给出了迭代次数和每次迭代中出现的线性系统的条件数。