多孔介质应力关系方程

A New Equation of Stresses in Porous Media

Ｔｅｒｚａｇｈｉ方程（σ＝σＧ＋Ｐ）是描述多孔介质应力关系的经典方程，由于方程同时定义了二个不可测量，因而是不实用的；方程没有引入反映多孔介质特性的最重要参数（φ），因而是不妥当的；鉴于方程存在的问题，本文对其进行了深入的研究，重新建立了多孔介质应力之间的关系方程：σ＝φＰ＋（１－φ）σＧ；由于φ的引入，新方程更全面、更合理地反映了多孔介质固有的力学特性．

Terzaghi equation (σ=σ G+P) is a classical one, which describes the relationship between stresses in porous media. Terzaghi defined two immeasurable variables, so the equation is not practically applicable. And also, the equation does not include the most important parameter (φ) describing the characteristic of porous media, so it is incorrect. This paper has accomprtant a theoretical research, and established a new equation: σ=φP+(1-φ)σ G, which can satisfy the relationship of stresses in porous media and overcome the contradiction showed by Terzaghi equation in dealing with practicl problems. With φ being incorporated, the new equation performs very well while it applies to porou media.