两相多孔介质拟静态问题的一种有限元解法

对于流体饱和两相多孔介质的拟静态问题。在忽略流体粘性的情况下，从场方程中消去流体相速度变量，得到以固体相位移和孔隙压力为基本变量的控制场方程，并给出相应力值和切值问题的提法。进而采用加权残值有了元法导出基于ｕ＾ｓ－ｐ变量的混合有限元公式，最后了系统方程的解法。

A Finite Element Method for Quasi Static Problems of Two phase Porous Media

For the quasi static problems of two phase porous media,the velocity variable of fluid phase can be eliminated as the viscosity of fluid is neglected.The corresponding governing equations,with displacement of solid phase and pore pressure as basic variables,as well as the boundary and initial conditions are given out.Finally a mixed finite element formula with u S-p variables is obtained with weighted residual method.This method has lesser nodal variables and higher accuracy of pressure distribution.