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给出两维两相不稳定渗流的压力方程和饱和度方程的能量泛函数及变分式。采用八结点二次等参数单元进行了区域剖分；确定单元基函数；建立单元特征式；计算系数Ａ_（ｉｊ）~（ｅ），ｆ_Ｉ~（ｅ）并进行数值积分；对总体合成主矩阵的变分又进行有限元分析。计算并预测了现场某一反九点法注水系统１／４的单元角井、边井见水时间及其累计产油量，结果表明：最长见水时间误差不超过０．３ａ。
The energy function and the variational formula for the pressure equation and the saturation equation of 2 - D two - phase seepage flow are given. The region subdivision is carried out by using the second-order equal-parameter unit of eight nodes, the unit basis function is determined, the unit characteristic formula is established, the coefficients A_ (ij) ~ (e) and f_I ~ (e) are calculated and integrated. Matrix variation and finite element analysis. Calculated and predicted the site of a quarter of nine anti-point water injection system unit angle wells, wells see the water time and cumulative oil production, the results show that: the longest water see time error does not exceed 0.3a.