【摘要】 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。更多还原

【Abstract】 The energy function and variational formula of pressure and saturation equation are given to two dimension and two phase unsteady state flow.The analyses of variational finite element about the regional dispersion,the determination of basic function of elements, the establishment of characteristic formula of elements, the calculation of the relative formula of A_ij￣（e）,f_i￣（e）and their numerical integral and main matrix of total compound are carried out with iso-parameter element of second order of eight nodal points.An example of the field development of a quarter of injection water system of opposite nine points is given.Prediction of breakthrough time of side well and corner well and cumulative oil production is made.Maxmum error of breakthrough time is less than 0.3 year.更多还原