First, different porous media theories are presented. Some approaches are based on the classical mixture theory for fluids introduced in the 1960s by Truesdell and Coworkers. One of the first researchers who extended the theory to porous media (thus mixtures containing at least one solid constituent) and also accounting for chemical reactions was Bowen. Another important branch of porous media theory goes back to Biot. In the beginning, he dealt with classical geotechnical problems and set up his model empirically. Mathematicians often use reaction–diffusion equations which are limited in comparison with continuum models by several restrictive assumptions and very often only applicable to special problems. In this paper, the focus lies on approaches based on the mixture theory which incorporate chemical reactions. Different strategies to describe the chemical potential for mixtures are presented, and different opinions about the exploitation of the second law of thermodynamics for mixtures are put forward. Finally, several works of different types including chemical reactions in porous media are summarized.

首先，提出了不同的多孔介质理论。一些方法基于 Truesdell 和同事在 1960 年代引入的流体经典混合理论。Bowen 是最早将理论扩展到多孔介质（因此包含至少一种固体成分的混合物）并解释化学反应的研究人员之一。多孔介质理论的另一个重要分支可以追溯到 Biot。一开始，他处理了经典的岩土工程问题，并根据经验建立了他的模型。数学家经常使用反应扩散方程，与连续模型相比，这些方程受到几个限制性假设的限制，并且通常只适用于特殊问题。在本文中，重点在于基于包含化学反应的混合理论的方法。提出了描述混合物化学势的不同策略，并提出了关于利用混合物热力学第二定律的不同意见。最后，总结了几种不同类型的工作，包括多孔介质中的化学反应。