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本文讨论多孔介质中两相可混溶渗流驱动问题的有限元方法，采用一致网格剖分、指标为k的Raviart－Thomas空间对压力作混合有限元逼近，用正则剖分、逼近阶为l的标准有限元方法处理浓度方程，通过核函数对有限元解作卷积进行局部平均确定非线性项的系数，得到了浓度误差H1范数的超收敛估计，经高阶插值，得到了整体高精度的逼近．
In this paper, we discuss the finite element method of two-phase miscibility seepage flow in porous media. Using a uniform meshing method, the Raviart-Thomas space with index k is modeled as a mixed finite element approximation. Using a regular mesh, the approximation order is l The standard finite element method is used to deal with the concentration equation. The kernel function is used to convolve the finite element solution and local average to determine the coefficients of the nonlinear term. The hyperconvergence estimation of the concentration error H1 norm is obtained. After high order interpolation, Approximation of accuracy.