In hydromechanical applications, Darcy, Brinkman, Forchheimer and Richards equations play a central role when porous media flow under saturated and unsaturated conditions has to be investigated. While Darcy, Brinkman, Forchheimer and Richards found their equations mainly on the basis of flow observations in field and laboratory experiments, the modern Theory of Porous Media allows for a scientific view at these equations on the basis of precise continuum mechanical and thermodynamical investigations. The present article aims at commenting the classical equations and at deriving their counterparts by the use of the thermodynamical consistent Theory of Porous Media. This procedure will prove that the classical equations are valid under certain restrictions and that extended equations exist valid for arbitrary cases in their field.

在流体力学应用中，当必须研究饱和和不饱和条件下的多孔介质流动时，达西，布林克曼，福希海默和理查兹方程起着核心作用。达西，布林克曼，福希海默和理查兹发现它们的方程式主要是根据现场和实验室实验中的流动观测结果，而现代多孔介质理论则可以在精确的连续力学和热力学研究的基础上对这些方程式进行科学的观察。本文旨在评论经典方程式，并通过使用热力学一致的多孔介质理论推导它们的对应关系。该程序将证明经典方程在某些限制下是有效的，并且存在扩展方程对于其领域中的任意情况有效。