This paper presents a reduced-order finite element (ROFE) method with seldom degrees of freedom for the incompressible miscible displacement problem, where the proper orthogonal decomposition (POD) technique is used. The algorithm process for the ROFE method is provided. Some numerical experiments are presented to help us understand this method and verify the accuracy and efficiency of this method. Meanwhile, numerical results reflect the robustness of the ROFE method in the face of anisotropic and heterogeneous oil reservoir problems.

中文翻译：

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基于POD技术的降阶有限元法对不可压缩混相位移问题的数值模拟

本文针对不可压缩的混相位移问题提出了一种具有很少自由度的降阶有限元 (ROFE) 方法，其中使用了适当的正交分解 (POD) 技术。提供了 ROFE 方法的算法过程。给出了一些数值实验，以帮助我们理解该方法并验证该方法的准确性和效率。同时，数值结果反映了 ROFE 方法在面对各向异性和非均质油藏问题时的稳健性。