关于饱和多孔介质变分原理的研究

Study on Variational Principles for Fluid Saturated Porous Media

采用文献［１，２］提出的变积方法，研究了饱和多孔介质的变分学逆问题，系统地建立了等温、准静态下饱和多孔介质耦合系统的广义变分原理及各级变分原理，其中包括六类变量、五类变量、三类变量和二类变量的变分原理。除得到文献中已有的变分原理外，本文给出了许多新的变分原理，为建立有限元分析模型提供了基础。

The inverse problem in calculus of variations for fluid saturated porous media is studied by using variational integral method which was introduced in .The generalized principles and other various principles for isothermal,quasi static fluid saturated porous media are established systematically,including six field variable principles,five field variable principles.four field variable principles,three field variable principles and two field variable principles Some new principles are presented besides all the known results in the previous literature.All these results can be used as theoretical foundation of establishing finite element model.