Injection of water containing dissolved chemical components is one of the most important enhanced oil recovery (EOR) techniques. This problem can be modeled by an $\left(n+1\right)\times \left(n+1\right)$ system of hyperbolic partial differential equations representing the conservation of water and chemical components. In this paper we present the solution to the problem of oil displacement by a water slug containing $n$ dissolved chemicals driven by pure water. It is considered that the chemicals can be adsorbed by the rock following Langmuir adsorption isotherm. The solution for any number of dissolved chemicals was obtained from a generalization of the case where three polymers are dissolved in the slug. To build the solution we first introduced a potential function replacing time as an independent variable. This procedure splits the original system of equations into a one-phase purely chromatographic problem and a scalar hyperbolic equation. The one-phase problem was solved using multicomponent chromatography theory, and its solution was used to solve the scalar equation. Both solution procedures are based on the method of characteristics. Finally, the solution of the scalar equation was mapped onto the space-time plane. The concentration solution shows the development of a complete chromatographic cycle in the porous media, and due to the separation of the chemicals, water banks appear in the water saturation solution. These results are new and present important insights for two-phase multicomponent flows in porous media.

注入含有溶解化学成分的水是最重要的提高采油率（EOR）技术之一。这个问题可以用$（ñ+\mathrm{1个}）\times （ñ+\mathrm{1个}）$代表水和化学成分守恒的双曲偏微分方程组。在本文中，我们提出了一种解决方案，解决了含有$ñ$由纯水驱动的溶解化学物质。认为在朗缪尔吸附等温线之后，化学物质可以被岩石吸附。通过将三种聚合物溶解在块中的情况的一般化，可以得到用于任何数量溶解化学物质的溶液。为了构建解决方案，我们首先引入了一个潜在的函数，将时间替换为自变量。此过程将原始方程组分为一个单相纯色谱问题和一个标量双曲方程。使用多组分色谱理论解决了单相问题，并将其解用于求解标量方程。两种解决方法均基于特征方法。最后，将标量方程的解映射到时空平面上。浓缩溶液在多孔介质中显示出完整的色谱循环，由于化学物质的分离，水饱和溶液中出现了水库。这些结果是新的，为多孔介质中的两相多组分流动提供了重要的见识。